JP5039804B2 - Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program - Google Patents

Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program Download PDF

Info

Publication number
JP5039804B2
JP5039804B2 JP2010049243A JP2010049243A JP5039804B2 JP 5039804 B2 JP5039804 B2 JP 5039804B2 JP 2010049243 A JP2010049243 A JP 2010049243A JP 2010049243 A JP2010049243 A JP 2010049243A JP 5039804 B2 JP5039804 B2 JP 5039804B2
Authority
JP
Japan
Prior art keywords
wheel
tire
vehicle
sensitivity
turning
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
JP2010049243A
Other languages
Japanese (ja)
Other versions
JP2011183874A (en
Inventor
充浩 和田
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Sumitomo Rubber Industries Ltd
Original Assignee
Sumitomo Rubber Industries Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Sumitomo Rubber Industries Ltd filed Critical Sumitomo Rubber Industries Ltd
Priority to JP2010049243A priority Critical patent/JP5039804B2/en
Priority to EP10013324.8A priority patent/EP2364865B1/en
Priority to US12/900,646 priority patent/US8577540B2/en
Publication of JP2011183874A publication Critical patent/JP2011183874A/en
Application granted granted Critical
Publication of JP5039804B2 publication Critical patent/JP5039804B2/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Description

本発明は、タイヤ内圧低下検出方法及び装置、並びにタイヤ内圧低下検出プログラムに関する。   The present invention relates to a tire internal pressure drop detection method and apparatus, and a tire internal pressure drop detection program.

車両に装着されたタイヤの回転角速度を相対比較することで当該タイヤの空気圧が低下しているか否かを間接的に検出する方法が知られている(例えば、特許文献1〜2参照)。   There is known a method of indirectly detecting whether or not the air pressure of the tire is decreased by comparing the rotational angular velocities of the tires mounted on the vehicle (see, for example, Patent Documents 1 and 2).

これらの方法では、車両の走行状態を限定(直進平坦路の一定速走行)し、そのときの4輪の車輪速を相対比較し、1輪だけ車輪速が増加したときに、減圧により当該タイヤの動荷重半径(DLR)が減少したためであると判断し、警報を出している。   In these methods, the running state of the vehicle is limited (running at a constant speed on a straight road), the wheel speeds of the four wheels at that time are relatively compared, and when the wheel speed increases by one wheel, the tire is reduced by decompression. It is judged that this is because the dynamic load radius (DLR) has decreased, and an alarm is issued.

前記相対比較に際しては、例えば以下の式(1)で示されるような減圧判定値(DEL)が用いられており、この減圧判定値が所定の閾値を超えたときに減圧であると判断している。
DEL={(F1+F4)/2−(F2+F3)/2}/{(F1+F2+F3+F4)/4}×100(%)・・・・・・(1)
ここで、F1〜F4は、それぞれ左前輪、右前輪、左後輪及び右後輪のタイヤの回転角速度である。
In the relative comparison, for example, a pressure reduction determination value (DEL) as shown in the following formula (1) is used, and when the pressure reduction determination value exceeds a predetermined threshold, it is determined that the pressure is reduced. Yes.
DEL = {(F1 + F4) / 2− (F2 + F3) / 2} / {(F1 + F2 + F3 + F4) / 4} × 100 (%) (1)
Here, F1 to F4 are rotational angular velocities of the tires of the left front wheel, the right front wheel, the left rear wheel, and the right rear wheel, respectively.

この場合、どれだけ動荷重半径が減少すれば、換言すれば、どれだけ回転数が増加すれば減圧と判定するかについては、明確な基準が示されておらず、適当に設定された閾値を超えれば減圧していると判定することになる。   In this case, there is no clear standard for how much the dynamic load radius decreases, in other words, how much the rotational speed increases, and it is determined that the pressure is reduced. If it exceeds, it will be determined that the pressure is reduced.

特開昭63−305011号公報JP 63-305011 A 特開2005−1419号公報Japanese Patent Laid-Open No. 2005-1419

ところで、一般的に、タイヤの動荷重半径の内圧依存性(タイヤ内圧の低下による動荷重半径の変化の程度)は、ほぼタイヤサイズによって同一であり、検出すべき内圧低下の大きさないしは量が決まれば、かかる内圧低下に起因する動荷重半径の減少しろは、タイヤサイズ毎にほぼ一意的に定めることができる。   By the way, in general, the internal pressure dependence of the dynamic load radius of the tire (the degree of change in the dynamic load radius due to the decrease in the tire internal pressure) is almost the same depending on the tire size, and the amount or amount of decrease in the internal pressure to be detected is large. If determined, the margin of decrease in the dynamic load radius due to such a decrease in internal pressure can be determined almost uniquely for each tire size.

前記動荷重半径の減少しろは、実験により求めることができるが、あらゆるタイヤの測定を行なうことは非常に大きな労力を要し現実的でないことから、タイヤ内圧が低下していると判定するための前記閾値として、特許文献1記載の方法を含む従来の方法では、代表的なタイヤを装着した場合を想定し、1つのタイヤが、例えば30%減圧したときの減少しろを考慮して算出される前記減圧判定値を用いている。   The decrease in the dynamic load radius can be obtained by experimentation, but it is not practical to measure all tires, so that it is determined that the tire internal pressure has decreased. In the conventional method including the method described in Patent Document 1, the threshold value is calculated in consideration of a reduction margin when, for example, 30% of one tire is depressurized, assuming a case where a representative tire is mounted. The decompression judgment value is used.

しかしながら、通常の乗用車では、当該乗用車に装着可能な又は装着が予定されているタイヤのサイズが複数存在しているのが一般的であり、複数の設定サイズのうちどのサイズのタイヤが車両に装着されるかは個別には分からない。
したがって、タイヤ内圧低下警報装置の閾値である前記判定基準を一定値(固定値)とした場合、装着タイヤのサイズによっては正確に警報を発することができない場合がある。
However, in general passenger cars, there are generally multiple sizes of tires that can or will be installed in the passenger car, and which of the multiple set sizes is installed in the vehicle. I don't know if it will be done individually.
Therefore, if the determination criterion, which is the threshold value of the tire internal pressure drop warning device, is set to a constant value (fixed value), an alarm may not be issued accurately depending on the size of the mounted tire.

本発明は、このような事情に鑑みてなされたものであり、タイヤサイズに応じた警報閾値を簡単に設定することができるタイヤ内圧低下検出方法及び装置、並びにタイヤ内圧低下検出プログラムを提供することを目的としている。   This invention is made in view of such a situation, and provides the tire internal pressure fall detection method and apparatus which can set the alarm threshold value according to a tire size simply, and a tire internal pressure fall detection program. It is an object.

本発明のタイヤ内圧低下検出方法(以下、単に「検出方法」ともいう)は、走行中の前輪駆動車又は後輪駆動車の各輪に装着されたタイヤの車輪速度を相対比較することにより当該タイヤの内圧低下を検出する方法であって、
車両の各タイヤの車輪回転情報を検出する工程と、
検出した車輪回転情報から車輪速度を算出する工程と、
算出された車輪速度の相対比較により減圧判定値を求める工程と、
得られた減圧判定値の大きさが所定の閾値を超えた場合にタイヤの内圧低下を判定する工程と
を含んでおり、
荷重感度と減圧感度の関係と、初期化時に旋回走行することで得られる荷重感度とから求められる減圧感度に基づいて設定される閾値設定工程をさらに含んでおり、
前記荷重感度が、前記車輪速度から得られる車両旋回時の従動輪左右の動荷重半径変化量と、前記車輪速度から得られる車両旋回時の駆動輪左右の動荷重半径変化量との比較により推定され、従動輪(idler)と駆動輪(drive)の右輪および左輪の車輪速をそれぞれω、ωとすると、以下の式から求められる回帰係数であることを特徴としている。

Figure 0005039804
The tire internal pressure drop detection method of the present invention (hereinafter also simply referred to as “detection method”) is based on relative comparison of the wheel speeds of tires mounted on each wheel of a front-wheel drive vehicle or a rear-wheel drive vehicle that is running. A method for detecting a decrease in tire internal pressure,
Detecting wheel rotation information of each tire of the vehicle;
Calculating the wheel speed from the detected wheel rotation information;
Obtaining a decompression determination value by relative comparison of the calculated wheel speeds;
A step of determining a decrease in the internal pressure of the tire when the magnitude of the obtained decompression judgment value exceeds a predetermined threshold,
It further includes a threshold value setting step set based on the pressure reduction sensitivity obtained from the relationship between the load sensitivity and the pressure reduction sensitivity and the load sensitivity obtained by turning during initialization.
The load sensitivity is estimated by comparing the amount of change in the dynamic radius of the left and right driven wheels when turning the vehicle obtained from the wheel speed and the amount of change in the dynamic radius of the left and right driven wheels when turning the vehicle obtained from the wheel speed. Further, when the wheel speeds of the right wheel and the left wheel of the driven wheel (idler) and the driving wheel (drive) are respectively ω R and ω L , the regression coefficients are obtained from the following equations.
Figure 0005039804

本発明の検出方法では、車両旋回時に左右輪で荷重移動が起こることを利用して、旋回中の動荷重半径変化、すなわち荷重移動による動荷重半径変化率つまり荷重感度を求めている。そして、予め求めておいた前記車両に装着予定のタイヤに係る車両旋回時の荷重感度と減圧感度の関係と、初期化時に旋回走行することで得られる荷重感度とから減圧感度を求め、この減圧感度に基づいて閾値を設定している。前記旋回中の荷重移動はどのような車両でも起こることから、タイヤサイズに応じた警報閾値を簡単に設定することができる。また、荷重感度は、車輪速度から得られる車両旋回時の従動輪左右の動荷重半径変化量と駆動輪左右の動荷重半径変化量との比較により推定することができ、GPS装置や特別なセンサ類を必要としないので、装置の簡素化を図ることができる。   In the detection method of the present invention, the change in the dynamic load radius during turning, that is, the rate of change in the dynamic load radius due to the load movement, that is, the load sensitivity, is obtained by utilizing the fact that load movement occurs on the left and right wheels when the vehicle is turning. Then, the pressure reduction sensitivity is obtained from the relationship between the load sensitivity and the pressure reduction sensitivity at the time of turning of the vehicle related to the tire to be mounted on the vehicle and the load sensitivity obtained by turning at the time of initialization. A threshold is set based on the sensitivity. Since the load movement during turning occurs in any vehicle, an alarm threshold value corresponding to the tire size can be easily set. The load sensitivity can be estimated by comparing the change amount of the dynamic load radius on the left and right of the driven wheel and the change amount of the dynamic load radius on the left and right of the driving wheel when turning the vehicle obtained from the wheel speed. Since no kind is required, the apparatus can be simplified.

本発明のタイヤ内圧低下検出装置(以下、単に「検出装置」ともいう)は、走行中の前輪駆動車又は後輪駆動車の各輪に装着されたタイヤの車輪速度を相対比較することにより当該タイヤの内圧低下を検出する装置であって、
車両の各タイヤの車輪回転情報を検出する車輪回転情報検出手段と、
この車輪回転情報検出手段により検出された車輪回転情報から車輪速度を算出する車輪速度算出手段と、
この車輪速度算出手段により算出された車輪速度の相対比較により減圧判定値を求める判定値算出手段と、
得られた減圧判定値の大きさが所定の閾値を超えた場合にタイヤの内圧低下を判定する判定手段と
を含んでおり、
前記所定の閾値を、予め求めておいた前記車両に装着予定のタイヤに係る車両旋回時の荷重感度と減圧感度の関係と、初期化時に旋回走行することで得られる荷重感度とから求められる減圧感度に基づいて設定する閾値設定手段をさらに含んでおり、
この閾値設定手段は、前記車輪速度から得られる車両旋回時の従動輪左右の動荷重半径変化量と、前記車輪速度から得られる車両旋回時の駆動輪左右の動荷重半径変化量との比較により前記荷重感度を推定し、従動輪(idler)と駆動輪(drive)の右輪および左輪の車輪速をそれぞれω、ωとすると、以下の式から求められる回帰係数とすることを特徴としている。

Figure 0005039804
The tire internal pressure drop detection device (hereinafter also simply referred to as “detection device”) according to the present invention performs relative comparison by comparing wheel speeds of tires mounted on each wheel of a front-wheel drive vehicle or a rear-wheel drive vehicle that is running. An apparatus for detecting a decrease in tire internal pressure,
Wheel rotation information detecting means for detecting wheel rotation information of each tire of the vehicle;
Wheel speed calculating means for calculating the wheel speed from the wheel rotation information detected by the wheel rotation information detecting means;
Determination value calculation means for obtaining a pressure reduction determination value by relative comparison of wheel speeds calculated by the wheel speed calculation means;
Determining means for determining a decrease in the internal pressure of the tire when the magnitude of the obtained decompression judgment value exceeds a predetermined threshold,
The predetermined threshold value is determined in advance from the relationship between the load sensitivity and the depressurization sensitivity when turning the vehicle related to the tire to be mounted on the vehicle, and the load sensitivity obtained by turning during initialization. It further includes a threshold setting means for setting based on the sensitivity,
This threshold value setting means is based on a comparison between the amount of change in the dynamic load radius on the left and right of the driven wheel at the time of vehicle turning obtained from the wheel speed and the amount of change in the dynamic load radius on the left and right of the drive wheel at the time of vehicle turning obtained from the wheel speed. The load sensitivity is estimated, and assuming that the wheel speeds of the right wheel and the left wheel of the driven wheel (idler) and the driving wheel (drive) are ω R and ω L respectively, the regression coefficient is obtained from the following formula: Yes.
Figure 0005039804

本発明の検出装置では、車両旋回時に左右輪で荷重移動が起こることを利用して、旋回中の動荷重半径変化、すなわち荷重移動による動荷重半径変化率つまり荷重感度を求めている。そして、予め求めておいた前記車両に装着予定のタイヤに係る車両旋回時の荷重感度と減圧感度の関係と、初期化時に旋回走行することで得られる荷重感度とから減圧感度を求め、この減圧感度に基づいて閾値を設定している。前記旋回中の荷重移動はどのような車両でも起こることから、タイヤサイズに応じた警報閾値を簡単に設定することができる。また、荷重感度は、車輪速度から得られる車両旋回時の従動輪左右の動荷重半径変化量と駆動輪左右の動荷重半径変化量との比較により推定することができ、GPS装置や特別なセンサ類を必要としないので、装置の簡素化を図ることができる。   In the detection device of the present invention, the change in the dynamic load radius during turning, that is, the rate of change in the dynamic load radius due to the load movement, that is, the load sensitivity, is obtained by utilizing the fact that load movement occurs on the left and right wheels when the vehicle is turning. Then, the pressure reduction sensitivity is obtained from the relationship between the load sensitivity and the pressure reduction sensitivity at the time of turning of the vehicle related to the tire to be mounted on the vehicle and the load sensitivity obtained by turning at the time of initialization. A threshold is set based on the sensitivity. Since the load movement during turning occurs in any vehicle, an alarm threshold value corresponding to the tire size can be easily set. The load sensitivity can be estimated by comparing the change amount of the dynamic load radius on the left and right of the driven wheel and the change amount of the dynamic load radius on the left and right of the driving wheel when turning the vehicle obtained from the wheel speed. Since no kind is required, the apparatus can be simplified.

本発明のタイヤ内圧低下検出プログラム(以下、単に「プログラム」ともいう)は、走行中の前輪駆動車又は後輪駆動車の各輪に装着されたタイヤの車輪速度を相対比較することにより当該タイヤの内圧低下を検出するためにコンピュータを、
車両の各タイヤの車輪回転情報から車輪速度を算出する車輪速度算出手段、
この車輪速度算出手段により算出された車輪速度の相対比較により減圧判定値を求める判定値算出手段、
得られた減圧判定値の大きさが所定の閾値を超えた場合にタイヤの内圧低下を判定する判定手段、及び
前記所定の閾値を、予め求めておいた前記車両に装着予定のタイヤに係る車両旋回時の荷重感度と減圧感度の関係と、初期化時に旋回走行することで得られる荷重感度とから求められる減圧感度に基づいて設定する閾値設定手段
として機能させ、前記閾値設定手段は、前記車輪速度から得られる車両旋回時の従動輪左右の動荷重半径変化量と、前記車輪速度から得られる車両旋回時の駆動輪左右の動荷重半径変化量との比較により前記荷重感度を推定し、従動輪(idler)と駆動輪(drive)の右輪および左輪の車輪速をそれぞれω、ωとすると、以下の式から求められる回帰係数とすることを特徴としている。

Figure 0005039804
The tire internal pressure drop detection program (hereinafter also simply referred to as “program”) according to the present invention compares the wheel speeds of tires mounted on each wheel of a front-wheel drive vehicle or a rear-wheel drive vehicle that is running, thereby comparing the tires. Computer to detect a decrease in internal pressure,
Wheel speed calculating means for calculating wheel speed from wheel rotation information of each tire of the vehicle,
Determination value calculation means for obtaining a pressure reduction determination value by relative comparison of wheel speeds calculated by the wheel speed calculation means;
A determination means for determining a decrease in the internal pressure of a tire when the magnitude of the obtained pressure reduction determination value exceeds a predetermined threshold, and a vehicle related to a tire to be attached to the vehicle for which the predetermined threshold is determined in advance The threshold setting means functions as threshold setting means for setting based on the pressure sensitivity obtained from the relationship between the load sensitivity and the pressure reduction sensitivity during turning and the load sensitivity obtained by turning during initialization. The load sensitivity is estimated by comparing the amount of change in the dynamic load radius on the left and right of the driven wheel when turning the vehicle obtained from the speed and the amount of change in the dynamic load radius on the left and right of the drive wheel when turning the vehicle obtained from the wheel speed. If the wheel speeds of the right wheel and the left wheel of the driving wheel (idler) and the driving wheel (drive) are ω R and ω L respectively, the regression coefficient is obtained from the following equation.
Figure 0005039804

本発明のタイヤ内圧低下検出方法及び装置、並びにタイヤ内圧低下検出プログラムによれば、タイヤサイズに応じた警報閾値を簡単に設定することができる。   According to the tire internal pressure drop detection method and apparatus and the tire internal pressure drop detection program of the present invention, it is possible to easily set an alarm threshold corresponding to the tire size.

本発明の検出装置の一実施の形態を示すブロック図である。It is a block diagram which shows one Embodiment of the detection apparatus of this invention. 図1に示される検出装置の電気的構成を示すブロック図である。It is a block diagram which shows the electrical structure of the detection apparatus shown by FIG. 左旋回時の従動輪左右輪の対地速度と車両速度の関係を示す図である。It is a figure which shows the relationship between the ground speed of a driven wheel left-right wheel at the time of left turn, and vehicle speed. 車両の各種パラメータを説明する図である。It is a figure explaining various parameters of vehicles. 左旋回時の駆動輪左右輪の対地速度と車両速度の関係を示す図である。It is a figure which shows the relationship between the ground speed of the driving wheel right-and-left wheel at the time of left turn, and vehicle speed. 減圧感度と荷重感度代表特性値(Xの係数)との関係を示す図である。It is a figure which shows the relationship between pressure reduction sensitivity and a load sensitivity representative characteristic value (coefficient of X). 減圧感度と荷重感度代表特性値(Yの係数)との関係を示す図である。It is a figure which shows the relationship between pressure reduction sensitivity and a load sensitivity representative characteristic value (coefficient of Y).

以下、添付図面を参照しつつ、本発明の検出方法及び装置、並びにプログラムの実施の形態を詳細に説明する。
図1に示されるように、本発明の一実施の形態に係る検出装置は、前輪駆動車又は後輪駆動車である4輪車両に備えられた4つのタイヤFL(左前輪)、FR(右前輪)、RL(左後輪)及びRR(右後輪)の車輪回転情報を検出するため、各タイヤに関連して設けられた通常の車輪速度検出手段(車輪回転情報検出手段)1を備えている。
Hereinafter, embodiments of a detection method and apparatus and a program according to the present invention will be described in detail with reference to the accompanying drawings.
As shown in FIG. 1, the detection device according to an embodiment of the present invention includes four tires FL (left front wheel), FR (right front wheel) provided in a four-wheel vehicle that is a front-wheel drive vehicle or a rear-wheel drive vehicle. In order to detect wheel rotation information of front wheels), RL (left rear wheel) and RR (right rear wheel), a normal wheel speed detection means (wheel rotation information detection means) 1 provided in association with each tire is provided. ing.

前記車輪速度検出手段1としては、電磁ピックアップなどを用いて回転パルスを発生させてパルスの数から回転角速度及び車輪速度を測定するための車輪速センサ又はダイナモのように回転を利用して発電を行い、この電圧から回転角速度及び車輪速度を測定するためのものを含む角速度センサなどを用いることができる。前記車輪速度検出手段1の出力は、ABSなどのコンピュータである制御ユニット2に与えられる。この制御ユニット2には、内圧が低下したタイヤを知らせるための液晶表示素子、プラズマ表示素子又はCRTなどで構成された表示器3、ドライバーによって操作することができる初期化ボタン4、及びタイヤの内圧低下をドライバーに知らせる警報器5が接続されている。   The wheel speed detection means 1 generates power using rotation like a wheel speed sensor or dynamo for generating rotation pulses using an electromagnetic pickup or the like and measuring the rotation angular speed and wheel speed from the number of pulses. It is possible to use an angular velocity sensor including that for measuring the rotational angular velocity and the wheel speed from this voltage. The output of the wheel speed detecting means 1 is given to a control unit 2 which is a computer such as ABS. The control unit 2 includes a liquid crystal display element for informing a tire whose internal pressure has decreased, a display 3 composed of a plasma display element or a CRT, an initialization button 4 that can be operated by a driver, and an internal pressure of the tire. An alarm device 5 is connected to notify the driver of the decrease.

制御ユニット2は、図2に示されるように、外部装置との信号の受け渡しに必要なI/Oインターフェース2aと、演算処理の中枢として機能するCPU2bと、このCPU2bの制御動作プログラムが格納されたROM2cと、前記CPU2bが制御動作を行う際にデータなどが一時的に書き込まれたり、その書き込まれたデータが読み出されたりするRAM2dとから構成されている。   As shown in FIG. 2, the control unit 2 stores an I / O interface 2a necessary for passing signals to and from an external device, a CPU 2b that functions as a center of arithmetic processing, and a control operation program for the CPU 2b. The ROM 2c and the RAM 2d from which data is temporarily written or the written data is read when the CPU 2b performs a control operation.

前記車輪速度検出手段1では、タイヤの回転数に対応したパルス信号(以下、「車輪速パルス」ともいう)が出力される。また、CPU2bでは、車輪速度検出手段1から出力された車輪速パルスに基づいて、所定のサンプリング周期ΔT(sec)、例えばΔT=0.05秒毎に各タイヤの回転角速度が算出される。   The wheel speed detection means 1 outputs a pulse signal corresponding to the number of rotations of the tire (hereinafter also referred to as “wheel speed pulse”). Further, the CPU 2b calculates the rotation angular velocity of each tire at a predetermined sampling period ΔT (sec), for example, ΔT = 0.05 seconds, based on the wheel speed pulse output from the wheel speed detecting means 1.

本実施の形態に係る検出装置は、車輪速度検出手段(車輪回転情報検出手段)1と、この車輪回転情報検出手段により検出された車輪回転情報から車輪速度を算出する車輪速度算出手段と、この車輪速度算出手段により算出された車輪速度の相対比較により減圧判定値を求める判定値算出手段と、得られた減圧判定値の大きさが所定の閾値を超えた場合にタイヤの内圧低下を判定する判定手段と、前記所定の閾値を、予め求めておいた前記車両に装着予定のタイヤに係る車両旋回時の荷重感度と減圧感度の関係と、初期化時に旋回走行することで得られる荷重感度とから求められる減圧感度に基づいて設定する閾値設定手段とから構成されている。前記閾値設定手段は、前記車輪速度から得られる車両旋回時の従動輪左右の動荷重半径変化量と、前記車輪速度から得られる車両旋回時の駆動輪左右の動荷重半径変化量との比較により前記荷重感度を推定するように構成されている。そして、タイヤ内圧低下検出プログラムは、前記制御ユニット2を、車輪速度算出手段、判定値算出手段、判定手段及び閾値設定手段として機能させる。   The detection device according to the present embodiment includes wheel speed detection means (wheel rotation information detection means) 1, wheel speed calculation means for calculating wheel speed from wheel rotation information detected by the wheel rotation information detection means, Determination value calculation means for obtaining a pressure reduction determination value by relative comparison of wheel speeds calculated by the wheel speed calculation means, and determination of a decrease in tire internal pressure when the magnitude of the obtained pressure reduction determination value exceeds a predetermined threshold value The determination means, the relationship between the load sensitivity at the time of turning of the vehicle and the pressure reduction sensitivity related to the tire to be mounted on the vehicle, and the load sensitivity obtained by turning at the time of initialization And a threshold value setting means for setting based on the pressure reduction sensitivity obtained from the above. The threshold value setting means is based on a comparison between a change amount of dynamic load radii on the left and right of a driven wheel obtained from the wheel speed and a change amount of dynamic load radii on the left and right sides of the drive wheel obtained from the wheel speed. The load sensitivity is estimated. The tire internal pressure drop detection program causes the control unit 2 to function as wheel speed calculation means, determination value calculation means, determination means, and threshold setting means.

内圧低下を判定するためのDELの閾値は、例えばタイヤが25%又は30%減圧したときに当該タイヤの動荷重半径がどれだけ減少するかによって決定することができる。
すなわち、タイヤ空気圧が1%減圧したときのDELの変化量DEL´を減圧感度とすると、この減圧感度は1%減圧時の動荷重半径の変化率β(=ΔDLR/DLR)に比例する。
例えば、RR輪が1%減圧したとき、当該RR輪の動荷重半径が正常圧時の動荷重半径に対してβだけ小さくなった場合、RR輪の車輪速は約βだけ増加する。このときDEL´は、
DEL´=2×{(V+V+βV)−(V+V)}/(V+V+V+V+βV)×100
となる。ここで、Vは正常内圧時における4輪の車輪速である。
The threshold value of DEL for determining the decrease in internal pressure can be determined, for example, by how much the dynamic load radius of the tire decreases when the tire is depressurized 25% or 30%.
That is, assuming that the change amount DEL ′ of DEL when the tire air pressure is reduced by 1% is the pressure reduction sensitivity, this pressure reduction sensitivity is proportional to the rate of change β (= ΔDLR / DLR) of the dynamic load radius at the time of 1% pressure reduction.
For example, when the RR wheel is depressurized by 1%, if the dynamic load radius of the RR wheel becomes smaller by β than the dynamic load radius at normal pressure, the wheel speed of the RR wheel increases by about β. At this time, DEL '
DEL ′ = 2 × {(V + V + βV) − (V + V)} / (V + V + V + V + βV) × 100
It becomes. Here, V is the wheel speed of the four wheels at normal internal pressure.

βは非常に小さい値であり、4+β≒4であるので、DEL´=(β/2)×100となる。このように減圧感度は、減圧時の動荷重半径の変化率(β)に比例する。また、減圧時の動荷重半径の変化率(β)は、後述するように荷重感度と比例関係にあるため、減圧感度もまた荷重感度に比例する。
内圧変化による動荷重半径の変化率はタイヤによりほぼ一定であり、且つタイヤサイズによってほぼ決まることが知られている。したがって、予め減圧感度に関する情報を実験などにより把握しておけば、タイヤ毎の閾値を決定することができる。
Since β is a very small value and 4 + β≈4, DEL ′ = (β / 2) × 100. Thus, the pressure reduction sensitivity is proportional to the rate of change (β) in the dynamic load radius during pressure reduction. Further, since the rate of change (β) of the dynamic load radius during decompression is proportional to the load sensitivity as will be described later, the decompression sensitivity is also proportional to the load sensitivity.
It is known that the rate of change of the dynamic load radius due to the change in internal pressure is almost constant depending on the tire and is almost determined by the tire size. Therefore, if the information about the pressure reduction sensitivity is obtained in advance through experiments or the like, the threshold value for each tire can be determined.

ただし、実際には開発車両の仕様が決まっていても、通常は複数のタイヤサイズの設定があるため、そのうちの1つのタイヤサイズについてだけ減圧感度を把握しても、装着されるタイヤサイズが別サイズであった場合には、閾値が現実のタイヤに適合していないことから、当該タイヤの内圧低下を正確に検出することができなくなる。特に、減圧感度を把握したタイヤの偏平率が70であるのに対し、実際に装着したタイヤの偏平率が50であるという具合に偏平率が大きく異なった場合においては、サイズによる減圧感度も大きく異なることから、偏平率70のタイヤの減圧感度で閾値を決めると、偏平率50のタイヤの内圧低下を正確に検出することができなくなる。このことは、逆の場合(実際に装着したタイヤの偏平率が、減圧感度を把握したタイヤの偏平率よりもかなり大きい場合)についても同様である。   However, even if the specifications of the developed vehicle are actually decided, there are usually multiple tire size settings, so even if you know the pressure reduction sensitivity for only one of the tire sizes, the tire size to be installed is different. In the case of the size, since the threshold value does not match the actual tire, it is impossible to accurately detect a decrease in the internal pressure of the tire. In particular, when the flatness ratio of the tire having grasped the decompression sensitivity is 70, whereas the flatness ratio of the tire actually mounted is 50, the decompression sensitivity depending on the size is large. Therefore, if the threshold value is determined based on the pressure reduction sensitivity of a tire with a flatness ratio of 70, a decrease in the internal pressure of a tire with a flatness ratio of 50 cannot be accurately detected. The same applies to the opposite case (when the flatness of the actually mounted tire is considerably larger than the flatness of the tire whose pressure reduction sensitivity is known).

本発明者は、すべてのタイヤについて減圧感度を事前に把握しなくてもタイヤの内圧低下を精度よく判定できるように、しかも適用可能な車種に制限を加えることなく精度よく判定できるように、種々検討を重ねた結果、サイズの違いによる減圧感度の影響を考慮して閾値を設定する方法を考案した。すなわち、減圧感度は、荷重に対する動荷重半径の変化量(以下、「荷重感度」ともいう)と比例関係にあるという知見に基づき、さらに、旋回走行時にはどのような車両でも左右輪で荷重移動が起こるという現象を利用して、本発明を完成させた。   The present inventor has various methods so that it is possible to accurately determine a decrease in the internal pressure of the tire without having to know the pressure reduction sensitivity in advance for all tires, and to accurately determine without limitation on applicable vehicle types. As a result of repeated studies, we have devised a method for setting the threshold in consideration of the effect of reduced pressure sensitivity due to the difference in size. That is, the pressure reduction sensitivity is based on the knowledge that there is a proportional relationship with the amount of change in the dynamic load radius with respect to the load (hereinafter also referred to as “load sensitivity”). The present invention has been completed by utilizing the phenomenon that occurs.

具体的には、減圧感度と荷重感度とが比例関係にあることから、当該減圧感度と荷重感度の比例定数のみを実験により事前に把握しておけば、荷重感度から減圧感度を自動的に算出することができ、実際に装着されているタイヤに応じた閾値を算出することができる。前記荷重感度は、後述するように、車両の旋回走行時における従動輪左右輪の動荷重半径変化量と駆動輪左右輪の動荷重半径変化量との比較により求めることができる。前記従動輪左右輪の動荷重半径変化量及び駆動輪左右輪の動荷重半径変化量は、車両に装着されたタイヤの車輪回転情報から算出される車輪速度からだけで得ることができる。すなわち、GPS装置やセンサ類(ヨーレートセンサや横加速度センサ)が不要であるので、検出装置の簡略化を図ることができる。   Specifically, since the decompression sensitivity and load sensitivity are in a proportional relationship, if only the proportional constant between the decompression sensitivity and load sensitivity is known in advance by experiment, the decompression sensitivity is automatically calculated from the load sensitivity. It is possible to calculate a threshold value corresponding to a tire that is actually mounted. As described later, the load sensitivity can be obtained by comparing the amount of change in the dynamic load radius of the left and right driven wheels with the amount of change in the dynamic load radius of the left and right wheels of the driving wheel when the vehicle is turning. The amount of change in the dynamic load radius of the left and right wheels of the driven wheel and the amount of change in the dynamic load radius of the left and right wheels of the driven wheel can be obtained only from the wheel speed calculated from the wheel rotation information of the tire mounted on the vehicle. That is, since a GPS device and sensors (a yaw rate sensor and a lateral acceleration sensor) are unnecessary, the detection device can be simplified.

前記減圧感度と荷重感度との関係を求めるための事前の実験については、装着が予定されているすべてのサイズ及びパターンで行う必要はなく、減圧感度と荷重感度は一定の比例関係にあるので、少なくとも1本、望ましくは3本程度の代表的なサイズ違いのタイヤを測定し、比例定数を求めるだけでよい。   The preliminary experiment for determining the relationship between the reduced pressure sensitivity and the load sensitivity does not need to be performed for all sizes and patterns that are planned to be mounted, and the reduced pressure sensitivity and the load sensitivity are in a fixed proportional relationship. It is only necessary to measure at least one, preferably about three, tires of different sizes and determine the proportionality constant.

減圧感度と荷重感度は、以下の理由により比例するものと考えられる。
タイヤの動荷重半径は、主にタイヤブレーカーの周長により決定されるが、当該タイヤに作用する荷重又はタイヤ内圧の低下によってタイヤブレーカーが撓むことで変化する。この撓み量は、タイヤの接地面積と比例し、接地面積が大きいときの撓み量は大きい。ここで、接地面積Sは、
接地面積S∝荷重/内圧
の関係にある。つまり、
動荷重半径の変化=撓み量の変化∝接地面積S∝荷重/内圧・・・・・(2)
の関係にある。
The pressure reduction sensitivity and load sensitivity are considered to be proportional for the following reasons.
The dynamic load radius of a tire is mainly determined by the circumference of the tire breaker, but changes when the tire breaker bends due to a decrease in the load acting on the tire or the tire internal pressure. The amount of deflection is proportional to the contact area of the tire, and the amount of deflection when the contact area is large is large. Here, the ground contact area S is
There is a relationship of ground contact area S∝load / internal pressure. In other words,
Change in dynamic load radius = Change in deflection amount ∝ Contact area S ∝ Load / Internal pressure (2)
Are in a relationship.

この(2)で示される関係より、動荷重半径の変化に対する荷重の増加は内圧が減少することと等価であることから、動荷重半径に対する内圧の影響は荷重の影響に置き換えることができる。   From the relationship shown in (2), since an increase in load with respect to a change in dynamic load radius is equivalent to a decrease in internal pressure, the influence of internal pressure on the dynamic load radius can be replaced with the influence of load.

〔内圧低下検出方法〕
以下、本発明の検出方法について説明する。
(1)まず、車輪速度検出手段1の出力信号(パルス信号)に基づいて、次の式(3)により各タイヤの回転角速度(ω)を算出する。
回転角速度(ω)=2π×Freq(Hz)/N(個)・・・・・(3)
ここに、Nは車輪速度検出手段1の車軸1回転あたりの歯数であり、Freq(Hz)は、その車輪速度検出手段1の歯が1秒あたりにカウントされた数値である。
[Internal pressure drop detection method]
Hereinafter, the detection method of the present invention will be described.
(1) First, based on the output signal (pulse signal) of the wheel speed detection means 1, the rotational angular velocity (ω) of each tire is calculated by the following equation (3).
Rotational angular velocity (ω) = 2π × Freq (Hz) / N (pieces) (3)
Here, N is the number of teeth per one rotation of the axle of the wheel speed detecting means 1, and Freq (Hz) is a numerical value obtained by counting the teeth of the wheel speed detecting means 1 per second.

なお、タイヤ動荷重半径は、加減速、旋回、坂道走行など、タイヤの内圧低下以外の要因によっても変化することから、車両の走行状態を限定(平坦路を一定速度で直進している走行状態に限定)し、かかる状態のときに得られたデータを有効データとして採用するのが好ましく、こうして他の要因によるタイヤ動荷重半径の変化を内圧低下判定用のデータから排除することで、正確な内圧低下を判定することができる。   The tire dynamic load radius also changes due to factors other than a decrease in tire internal pressure, such as acceleration / deceleration, turning, and running on a slope, so the vehicle's running condition is limited (running on a flat road at a constant speed) It is preferable to adopt the data obtained in such a state as valid data, and in this way, by excluding changes in the tire dynamic load radius due to other factors from the data for determining the internal pressure drop, A decrease in internal pressure can be determined.

具体的には、走行条件が、定速度走行、平坦路走行、直線走行などの条件を満たすかどうかをそれぞれの判定条件と比較し、実際の走行中に得られたデータが判定値算出用のデータに適したデータであるかどうかの判定を行い、不適切なデータである場合は判定値算出用のデータとして使用せずに排除する。判定条件としては、例えば車両の前後方向|G|<0.05G、方位変化1度以下、路面勾配5%以下、ブレーキを踏んでいないこと、とすることができる。   Specifically, whether or not the driving conditions satisfy conditions such as constant speed driving, flat road driving, and straight driving are compared with the respective determination conditions, and the data obtained during actual driving is used for calculating the determination value. It is determined whether the data is suitable for the data. If the data is inappropriate, the data is excluded without being used as data for calculating the determination value. As the determination conditions, for example, the vehicle front-rear direction | G | <0.05G, the direction change is 1 degree or less, the road surface gradient is 5% or less, and the brake is not stepped on.

(2)ついで、例えば前記式(1)に従って減圧を判定するためのDELを算出する。   (2) Next, for example, DEL for determining the reduced pressure is calculated according to the equation (1).

なお、前記DELを所定個数蓄積し、その平均値によってタイヤ内圧低下の判定を行なうことができ、この場合、平均値を採用することにより判定の精度を高めることができる。また、所定個数蓄積したDELのバラツキを母分散判定し、分散値(σ2)が基準値よりも小さいときに、DELの平均値を算出するようにしてもよい。 It should be noted that a predetermined number of the DELs can be accumulated, and the determination of a decrease in tire internal pressure can be made based on the average value. In this case, the accuracy of the determination can be increased by adopting the average value. Alternatively, the dispersion of DEL accumulated in a predetermined number may be determined as mother variance, and the average value of DEL may be calculated when the variance (σ 2 ) is smaller than the reference value.

(3)ついで、算出されたDELを、所定の閾値と比較し、前記DELがこの閾値よりも大きければタイヤ内圧が低下していると判断し、表示器3により減圧を表示するとともに、警報器5によりドライバーに警報を発する。
〔閾値の設定方法〕
閾値を設定するには、まず第1段階として実車実験(キャリブレーション)を行うことで荷重感度と減圧感度の関係を求め、荷重感度から減圧感度を求めるときの定数を決定し、この定数を記憶手段に記憶させておく。ついで第2段階として、実走行の初期化時において旋回走行したときに荷重感度を推定し、推定した荷重感度に前記記憶させておいた比例定数を掛けることにより、初期化段階で自動的に減圧閾値を設定する。
以下、閾値の設定方法について詳細に説明する。
(3) Next, the calculated DEL is compared with a predetermined threshold value, and if the DEL is larger than the threshold value, it is determined that the tire internal pressure has decreased, and the depressurization is displayed by the display unit 3, and the alarm device 5 gives a warning to the driver.
[Threshold setting method]
In order to set the threshold, first, as a first step, an actual vehicle experiment (calibration) is performed to determine the relationship between the load sensitivity and the pressure reduction sensitivity, and a constant for determining the pressure reduction sensitivity from the load sensitivity is determined, and this constant is stored. It is memorized in the means. Then, as the second stage, the load sensitivity is estimated when the vehicle is turning at the time of initialization of the actual driving, and the pressure is automatically reduced at the initialization stage by multiplying the estimated load sensitivity by the stored proportionality constant. Set the threshold.
Hereinafter, the threshold setting method will be described in detail.

[キャリブレーション]
第1段階では、減圧感度と荷重感度との関係を事前に実車実験(キャリブレーション)を行うことで求める。事前実験では各種サイズのタイヤにて旋回走行を実施し(各実験において4輪は同種のタイヤ)、荷重感度を算出しておく。さらに減圧警報を発する内圧まで減圧し(例えば25%減圧。この値は変更可能である)、そのときの動荷重半径変化比率(動荷重半径変化量/動荷重半径)を算出しておく。そしてこの動荷重半径変化比率に比例する減圧感度と荷重感度間の比例定数を求め、その値を予め記憶手段に記憶させておく。
[Calibration]
In the first stage, the relationship between the pressure reduction sensitivity and the load sensitivity is obtained by conducting an actual vehicle experiment (calibration) in advance. In the preliminary experiment, turning is performed with tires of various sizes (in each experiment, four wheels are the same type of tire), and load sensitivity is calculated. Further, the pressure is reduced to an internal pressure at which a pressure reduction alarm is issued (for example, 25% pressure reduction. This value can be changed), and the dynamic load radius change ratio (dynamic load radius change amount / dynamic load radius) at that time is calculated. Then, a proportional constant between the pressure reduction sensitivity and the load sensitivity proportional to the dynamic load radius change ratio is obtained, and the value is stored in the storage means in advance.

この減圧感度と荷重感度の関係の事前実験については、前述したように、減圧感度と荷重感度は比例関係にあるので、車両への装着が予定されているすべてのサイズ、パターンについて行う必要はなく、最低1本、望ましくは3本程度の代表的なサイズ違いのタイヤを測定し、比例定数を求めておけばよい。   As described above, the pressure reduction sensitivity and the load sensitivity are proportional to each other, so it is not necessary to perform this preliminary experiment on the relationship between the pressure reduction sensitivity and the load sensitivity. It is only necessary to measure at least one tire, preferably about three tires of different sizes, and obtain a proportionality constant.

本発明の特徴は、車両旋回時には左右輪で荷重移動が起こることを利用して、この荷重移動による動荷重半径の変化量から荷重感度を求めることである。旋回走行時には、どのような車両であっても左右輪で荷重移動が起こるので、車種に関係なく荷重感度を求めることができる。しかも、動荷重半径変化量は、車輪速度だけから算出することができるので、GPS装置や特別なセンサ(ヨーレートセンサや横加速度センサ)を搭載していない車両でも前記閾値を簡単に設定することができる。   A feature of the present invention is that the load sensitivity is obtained from the amount of change in the dynamic load radius caused by the load movement by utilizing the fact that the load movement occurs between the left and right wheels when the vehicle is turning. When turning, the load movement occurs between the left and right wheels in any vehicle, so that the load sensitivity can be obtained regardless of the vehicle type. Moreover, since the dynamic load radius change amount can be calculated only from the wheel speed, the threshold value can be easily set even in a vehicle not equipped with a GPS device or a special sensor (yaw rate sensor or lateral acceleration sensor). it can.

本発明では、旋回中の荷重移動量が一般に従動輪と駆動輪とで異なっていることを利用して荷重感度を推定する。すなわち、旋回中の荷重移動量が従動輪と駆動輪とで異なることから、旋回中の動荷重半径変化量も同じく従動輪と駆動輪とで相違する。従動輪左右輪の動荷重半径変化量(車輪速変化量)と駆動輪左右輪の動荷重半径変化量(車輪速変化量)を相対的に比較することは可能であるので、これを利用することで荷重感度を推定することができる。   In the present invention, the load sensitivity is estimated by utilizing the fact that the amount of load movement during turning is generally different between the driven wheel and the drive wheel. That is, since the amount of load movement during turning differs between the driven wheel and the driving wheel, the amount of change in the dynamic load radius during turning also differs between the driven wheel and the driving wheel. Since it is possible to relatively compare the dynamic load radius change amount (wheel speed change amount) of the driven wheel left and right wheels and the dynamic load radius change amount (wheel speed change amount) of the drive wheel left and right wheels, this is used. Thus, the load sensitivity can be estimated.

<従動輪左右輪>
次に、前輪駆動車が旋回走行しているときの従動輪左右輪の動荷重半径の変化と荷重移動量との関係について説明する。
まず図3に示されるように、車両が半径(R)の円周上をヨーレート(θ´)、速度(V)で左旋回している状態を想定する。このとき旋回半径(R)、ヨーレート(θ´)及び速度(V)の間には次の式(4)の関係が成り立つ。
θ´=V/R ・・・・・・(4)
<Driver wheel left and right wheels>
Next, the relationship between the change in the dynamic load radius of the left and right driven wheels and the load movement amount when the front wheel drive vehicle is turning will be described.
First, as shown in FIG. 3, it is assumed that the vehicle is turning left on the circumference of the radius (R) at the yaw rate (θ ′) and the speed (V). At this time, the relationship of the following formula (4) is established among the turning radius (R), the yaw rate (θ ′), and the velocity (V).
θ ′ = V / R (4)

また、外輪(右輪)の対地速度をVR、内輪(左輪)の対地速度をVL、トレッド 幅をWとすると、
(R+W/2)×θ´=VR
(R−W/2)×θ´=VL
であるので、ヨーレート(θ´)は、以下の式(5)で表される。また、車両速度(V)は、以下の式(6)で表される。
If the ground speed of the outer ring (right wheel) is V R , the ground speed of the inner ring (left wheel) is V L , and the tread width is W,
(R + W / 2) × θ ′ = V R
(R−W / 2) × θ ′ = V L
Therefore, the yaw rate (θ ′) is expressed by the following equation (5). The vehicle speed (V) is expressed by the following equation (6).

Figure 0005039804
Figure 0005039804

そして、式(5)、(6)より、次のようにして式(7)を導くことができる。ここに、対地速度VL及びVRは、車輪速(ω)と動荷重半径(DLR)から
L=(DLR+ΔDLR)×ωL
R=(DLR−ΔDLR)×ωR
と表される。
ここで、対地速度VL及びVRの和(VR+VL)は、
R+VL=(DLR+ΔDLR)×ωL+(DLR−ΔDLR)×ωR
=DLR(ωR+ωL)−ΔDLR(ωR−ωL
となるが、ΔDLR(ωR−ωL)≒0であるので、
R+VL≒DLR(ωR+ωL)とすることができる。
Then, from the equations (5) and (6), the equation (7) can be derived as follows. Here, the ground speeds V L and V R are determined by V L = (DLR + ΔDLR) × ω L from the wheel speed (ω) and the dynamic load radius (DLR).
V R = (DLR−ΔDLR) × ω R
It is expressed.
Here, the sum of ground speeds V L and V R (V R + V L ) is
V R + V L = (DLR + ΔDLR) × ω L + (DLR−ΔDLR) × ω R
= DLR (ω R + ω L ) −ΔDLR (ω R −ω L )
However, since ΔDLR (ω R −ω L ) ≈0,
V R + V L ≈DLR (ω R + ω L ).

Figure 0005039804
Figure 0005039804

また、式(7)より以下の式(8)を導くことができる。   Further, the following formula (8) can be derived from the formula (7).

Figure 0005039804
Figure 0005039804

式(8)における(ΔDLR/DLR)は、荷重移動量(ΔFz。図4参照)に比例し、荷重感度をb、全軸に対する従動輪軸にかかる荷重移動分担率をα(0<α<1)とすると、以下の式(9)で表される。   (ΔDLR / DLR) in the equation (8) is proportional to the load movement amount (ΔFz, see FIG. 4), the load sensitivity is b, and the load movement share ratio applied to the driven wheel shaft with respect to all the axes is α (0 <α <1). ), It is expressed by the following formula (9).

Figure 0005039804
Figure 0005039804

荷重移動分担率α、車両の重心高(H)、トレッド幅(W)、質量(m)は基本的に同一車両の場合一意に決まるため、ay(横加速度)の係数は荷重感度bが大きいタイヤほど大きくなる。 Since the load movement share α, the height of the center of gravity (H), the tread width (W), and the mass (m) are basically uniquely determined for the same vehicle, the coefficient of a y (lateral acceleration) is determined by the load sensitivity b. The bigger the tire, the bigger.

<駆動輪左右輪>
次に、前輪駆動車が旋回走行しているときの駆動輪左右輪の動荷重半径の変化と荷重移動量との関係について説明する。
従動輪の場合(図3)と同様、図5に示されるように、車両は半径(R)の円周上を左旋回している状態を想定する。駆動輪の場合は駆動力によるスリップが発生するため、その影響を考慮する必要がある。さらに旋回走行中は外輪の接地面積が増加することにより当該外輪のスリップ率が内輪のスリップ率よりも小さくなることも考慮する必要がある。
<Drive wheel left and right wheels>
Next, the relationship between the change in the dynamic load radius of the left and right wheels of the driving wheel and the load movement amount when the front wheel drive vehicle is turning will be described.
As in the case of the driven wheel (FIG. 3), as shown in FIG. 5, it is assumed that the vehicle is turning left on the circumference of the radius (R). In the case of driving wheels, slip due to driving force is generated, and it is necessary to consider the influence. Furthermore, it is necessary to consider that the slip ratio of the outer ring becomes smaller than the slip ratio of the inner ring due to an increase in the contact area of the outer ring during turning.

駆動力(Fx)と旋回左右輪のスリップ率(s+Δs、s−Δs)は、そのときのドライビングスティフネスをDL、DRとすると、以下の式(10)で示される関係を満たす。
Fx=DL・(s+Δs)+DR・(s−Δs) ・・・・・・(10)
また、駆動力は車両のデファレンシャルにより左右に均等に配分されるので
L・(s+Δs)=DR・(s−Δs) ・・・・・・(11)
となる。
The driving force (Fx) and the slip ratios (s + Δs, s−Δs) of the left and right wheels satisfy the relationship represented by the following formula (10), where the driving stiffness at that time is D L and D R.
Fx = D L · (s + Δs) + D R · (s−Δs) (10)
Further, since the driving force is evenly distributed to the left and right by the differential of the vehicle, D L · (s + Δs) = D R · (s−Δs) (11)
It becomes.

ここで、左右輪のタイヤは基本的に同じものであるので、DL、DRは装着タイヤの単位面積当たりのドライビングスティフネスをG、基準荷重時の接地面積をA、旋回による荷重移動によって減少(増加)する接地面積の変化分をΔAとすると、
L=G(A−ΔA) ・・・・・・(11)´
R=G(A+ΔA) ・・・・・・(11)´´
となる。
Here, since the tires for the left and right wheels are basically the same, D L and D R are the driving stiffness per unit area of the mounted tire, G, the ground contact area at the standard load is reduced by load movement due to turning Let ΔA be the amount of change in the ground contact area that increases (increases).
D L = G (A−ΔA) (11) ′
D R = G (A + ΔA) (11) ″
It becomes.

さらに、接地面積(A)と変化分(ΔA)は、基準荷重(Fz)及び荷重移動量(ΔFz)と以下の式(11)を満たす関係にある。
ΔA/A=ΔFz/Fz ・・・・・・(12)
つまりスリップ率と荷重は式(11)、(11)´、(11)´´より
Further, the ground contact area (A) and the change amount (ΔA) satisfy the following formula (11) with the reference load (Fz) and the load movement amount (ΔFz).
ΔA / A = ΔFz / Fz (12)
That is, the slip ratio and the load are obtained from the equations (11), (11) ′, (11) ″.

Figure 0005039804
Figure 0005039804

の関係を満たす。
従動輪の場合と同様、1/Rと車輪速との関係を見ると、
Satisfy the relationship.
As in the case of driven wheels, looking at the relationship between 1 / R and wheel speed,

Figure 0005039804
Figure 0005039804

ここで、右辺のΔs・ΔDLR、ΔDLR(ωR-ωL)及びΔs・(ωR-ωL)はほぼゼロとみなすことができるので、   Here, since Δs · ΔDLR, ΔDLR (ωR−ωL) and Δs · (ωR−ωL) on the right side can be regarded as almost zero,

Figure 0005039804
Figure 0005039804

<従動輪と駆動輪の関係>
車両が半径Rを旋回しているとき、従動輪(idler)と駆動輪(drive)それぞれの旋回半径の関係より
<Relationship between driven wheel and drive wheel>
When the vehicle is turning around the radius R, the relationship between the turning radius of each of the driven wheel (idler) and the driving wheel (drive)

Figure 0005039804
Figure 0005039804

Figure 0005039804
Figure 0005039804

Figure 0005039804
Figure 0005039804

Figure 0005039804
Figure 0005039804

[初期化]
タイヤを新しいものと交換して所定の内圧に調整した後などに初期化ボタン4を操作することで検出装置の初期化が行われるが、この初期化時に旋回走行した際に前記キャリブレーションと同様にして荷重感度を推定する。そして、推定された荷重感度に予め記憶手段に記憶させておいた減圧感度との比例定数を掛けることにより、初期化段階で自動的に減圧閾値を設定し、同じく記憶手段に記憶させておく。
[Initialization]
The detection device is initialized by operating the initialization button 4 after the tire is replaced with a new one and adjusted to a predetermined internal pressure. However, when the vehicle is turned during this initialization, it is the same as the calibration described above. To estimate the load sensitivity. Then, by multiplying the estimated load sensitivity by a proportional constant with the decompression sensitivity stored in advance in the storage means, a decompression threshold value is automatically set at the initialization stage, and is also stored in the storage means.

〔実施例〕
つぎに本発明の検出方法の実施例を説明するが、本発明はもとよりかかる実施例のみに限定されるものではない。
車両に装着された各タイヤの回転角速度を得るために、ABS制御に利用する回転速度情報を用いて回転角速度に換算した。
〔Example〕
Next, examples of the detection method of the present invention will be described. However, the present invention is not limited to such examples.
In order to obtain the rotation angular velocity of each tire mounted on the vehicle, the rotation angular velocity was converted into the rotation angular velocity using the rotation velocity information used for the ABS control.

実験はFF車で行い、基準内圧は200kPaとした。また、3種類のタイヤ(表1参照)でキャリブレーションを実施した。   The experiment was performed with an FF vehicle, and the reference internal pressure was 200 kPa. In addition, calibration was performed with three types of tires (see Table 1).

キャリブレーション
FF車に表1に示される3種類のタイヤを順次装着して住友ゴム工業株式会社の岡山テストコースにおいてキャリブレーションを行い、荷重感度代表特性値(式(15)のXとXの各係数)及び減圧感度を算出した(表1参照)。そして、荷重感度−減圧感度間の比例定数を求めた。
荷重感度は式(15)に従い、近似直線の傾きを求めた。傾きの算出に際しては逐次最小二乗法などを用いることによりオンラインで算出することができる。前記係数は、荷重感度bによってのみ変化するので、これを荷重感度代表特性値とした。なお、本明細書において「荷重感度」とは、単なる荷重感度だけでなく、この荷重感度によってのみ変化する値(荷重感度と、車両において一意的に定まる値とからなるパラメータのこと)も含むことがある。
一方、減圧感度については、実際に所定量だけ減圧し(例えば25%)、そのときの動荷重半径変化量を算出した。結果を表1に示す。
Calibrate the Okayama test course of sequentially attached to Sumitomo Rubber Industries, Ltd. three types of tires shown in Table 1 in the calibration FF vehicle, the load sense Dodai table characteristic value X 1 (Formula (15) It was calculated coefficients) and reduced pressure sensitivity of X 2 (see Table 1). And the proportionality constant between load sensitivity-decompression sensitivity was calculated | required.
For load sensitivity, the slope of the approximate straight line was determined according to equation (15). The slope can be calculated online by using a sequential least square method or the like. The factor because changes only by the load sensitivity b, which was used as a load sense Dodai table characteristic value. In this specification, “load sensitivity” includes not only mere load sensitivity but also values that change only by this load sensitivity (parameters consisting of load sensitivity and a value uniquely determined in the vehicle). There is.
On the other hand, for the pressure reduction sensitivity, the pressure was actually reduced by a predetermined amount (for example, 25%), and the dynamic load radius change amount at that time was calculated. The results are shown in Table 1.

Figure 0005039804
Figure 0005039804

前記キャリブレーションの結果より、図6、7に示されるように荷重感度代表特性値(Xの係数、Xの係数)と減圧感度の比例定数を求め、その値を記憶手段にプリセットした。本実施例では、Xの係数に係る比例定数は-0.0005であり、Xの係数に係る比例定数は-0.0015であった。なお、図6及び7において、グラフの上部に示されている式は、荷重感度代表特性値と減圧感度との関係の近似直線を表す式であり、「R 」は、その近似直線の相関係数を示している。
したがって、
1.減圧感度=−228×(Xの係数)−0.0007
2.減圧感度=−729×(Xの係数)−0.00024
となった。
Wherein the results of the calibration, seeking load sensitivity representative characteristic value (coefficient of X 1, the coefficients X 2) proportional constant of the decreased pressure sensitivity, as shown in FIGS. 6 and 7, and preset the value in the storage means. In this embodiment, the proportionality constant relating to a coefficient of X 1 is -0.0005, proportionality constant relating to a coefficient of X 2 was -0.0015. 6 and 7, the equation shown at the top of the graph is an equation representing an approximate line of the relationship between the load sensitivity representative characteristic value and the pressure reduction sensitivity, and “R 2 ” is a phase of the approximate line. Indicates the number of relationships.
Therefore,
1. Decompression sensitivity = −228 × (X 1 coefficient) −0.0007
2. Decompression sensitivity = −729 × (X 2 coefficient) −0.00024
It became.

閾値設定
或るタイヤTを前記FF車に装着し、初期化時に旋回走行をしたときに前記と同様にしてX1、X2の係数を算出した。得られたX1、X2の係数は、それぞれ−3.27×10-5、−9.12×10-6であった。
When a tire T having a threshold value set was attached to the FF vehicle and the vehicle made a turn during initialization, the coefficients of X 1 and X 2 were calculated in the same manner as described above. The obtained coefficients of X 1 and X 2 were −3.27 × 10 −5 and −9.12 × 10 −6 , respectively.

減圧警報したい減圧量を25%として、これから減圧感度を推定すると
1.閾値=25(減圧%)×減圧感度=25×{−228×(−3.27×10-5)−0.0007}=0.17
2.閾値=25(減圧%)×減圧感度=25×{−729×(−9.12×10-6)−0.00024}=0.16
となる。
それぞれの係数から推定された値を平均し、減圧感度推定値とする。つまり、本実施例のタイヤTの場合、初期化終了時に0.17(=(0.17+0.16)/2)に自動的に閾値が設定される。
Assuming that the decompression amount at which the decompression alarm is desired is 25%, the decompression sensitivity is estimated from this. Threshold = 25 (% decompression) × Decompression sensitivity = 25 × {−228 × (−3.27 × 10 −5 ) −0.0007} = 0.17
2. Threshold = 25 (% decompression) × Decompression sensitivity = 25 × {−729 × (−9.12 × 10 −6 ) −0.00024} = 0.16
It becomes.
The values estimated from the respective coefficients are averaged to obtain a pressure reduction sensitivity estimated value. That is, in the case of the tire T of this embodiment, the threshold value is automatically set to 0.17 (= (0.17 + 0.16) / 2) at the end of initialization.

次に表1に示される各タイヤについて初期化実施後に30%減圧し、誤報又は未警報の有無を従来の方法(減圧閾値として、代表的なタイヤで求めた固定閾値を採用)と比較した。結果を表2に示す。   Next, each tire shown in Table 1 was decompressed 30% after initialization, and the presence or absence of false alarms or no alarms was compared with a conventional method (adopting a fixed threshold obtained with a typical tire as a decompression threshold). The results are shown in Table 2.

Figure 0005039804
Figure 0005039804

表2に示されるように、閾値を固定値とした場合は当該閾値の設定次第では、未警報(又は誤報)となることがあるが、本発明の方法によれば正確に減圧を判定することができる。   As shown in Table 2, when the threshold value is set to a fixed value, depending on the setting of the threshold value, there may be an unalarmed (or false alarm). However, according to the method of the present invention, the decompression can be accurately determined. Can do.

1 車輪速度検出手段
2 制御ユニット
2a インターフェース
2b CPU
2c ROM
2d RAM
3 表示器
4 初期化ボタン
5 警報器
1 Wheel speed detection means 2 Control unit 2a Interface 2b CPU
2c ROM
2d RAM
3 Display 4 Initialization button 5 Alarm

Claims (3)

走行中の前輪駆動車又は後輪駆動車の各輪に装着されたタイヤの車輪速度を相対比較することにより当該タイヤの内圧低下を検出する方法であって、
車両の各タイヤの車輪回転情報を検出する工程と、
検出した車輪回転情報から車輪速度を算出する工程と、
算出された車輪速度の相対比較により減圧判定値を求める工程と、
得られた減圧判定値の大きさが所定の閾値を超えた場合にタイヤの内圧低下を判定する工程と
を含んでおり、
前記所定の閾値が、予め求めておいた車両に装着予定のタイヤに係る車両旋回時の荷重感度と減圧感度の関係と、初期化時に旋回走行することで得られる荷重感度とから求められる減圧感度に基づいて設定される閾値設定工程をさらに含んでおり、
前記荷重感度が、前記車輪速度から得られる車両旋回時の従動輪左右の動荷重半径変化量と、前記車輪速度から得られる車両旋回時の駆動輪左右の動荷重半径変化量との比較により推定され、従動輪(idler)と駆動輪(drive)の右輪および左輪の車輪速をそれぞれω、ωとすると、以下の式から求められる回帰係数であることを特徴とするタイヤ内圧低下検出方法。
Figure 0005039804
A method of detecting a decrease in internal pressure of a tire by comparing the wheel speeds of tires mounted on each wheel of a front wheel drive vehicle or a rear wheel drive vehicle that is running,
Detecting wheel rotation information of each tire of the vehicle;
Calculating the wheel speed from the detected wheel rotation information;
Obtaining a decompression determination value by relative comparison of the calculated wheel speeds;
A step of determining a decrease in the internal pressure of the tire when the magnitude of the obtained decompression judgment value exceeds a predetermined threshold,
The predetermined threshold value is a pressure reduction sensitivity obtained from a relationship between a load sensitivity and a pressure reduction sensitivity at the time of turning of the vehicle relating to a tire to be mounted on the vehicle, which has been obtained in advance, and a load sensitivity obtained by turning at the time of initialization. Further including a threshold setting step set based on
The load sensitivity is estimated by comparing the amount of change in the dynamic radius of the left and right driven wheels when turning the vehicle obtained from the wheel speed and the amount of change in the dynamic radius of the left and right driven wheels when turning the vehicle obtained from the wheel speed. The tire internal pressure drop detection is characterized by the regression coefficient obtained from the following equations, where the wheel speeds of the right wheel and the left wheel of the driven wheel (idler) and the driving wheel (drive) are ω R and ω L respectively. Method.
Figure 0005039804
走行中の前輪駆動車又は後輪駆動車の各輪に装着されたタイヤの車輪速度を相対比較することにより当該タイヤの内圧低下を検出する装置であって、
車両の各タイヤの車輪回転情報を検出する車輪回転情報検出手段と、
この車輪回転情報検出手段により検出された車輪回転情報から車輪速度を算出する車輪速度算出手段と、
この車輪速度算出手段により算出された車輪速度の相対比較により減圧判定値を求める判定値算出手段と、
得られた減圧判定値の大きさが所定の閾値を超えた場合にタイヤの内圧低下を判定する判定手段と
を含んでおり、
前記所定の閾値を、予め求めておいた前記車両に装着予定のタイヤに係る車両旋回時の荷重感度と減圧感度の関係と、初期化時に旋回走行することで得られる荷重感度とから求められる減圧感度に基づいて設定する閾値設定手段をさらに含んでおり、
この閾値設定手段は、前記車輪速度から得られる車両旋回時の従動輪左右の動荷重半径変化量と、前記車輪速度から得られる車両旋回時の駆動輪左右の動荷重半径変化量との比較により前記荷重感度を推定し、従動輪(idler)と駆動輪(drive)の右輪および左輪の車輪速をそれぞれω、ωとすると、以下の式から求められる回帰係数とすることを特徴とするタイヤ内圧低下検出装置。
Figure 0005039804
A device for detecting a decrease in the internal pressure of the tire by comparing the wheel speeds of the tires mounted on each wheel of the front-wheel drive vehicle or the rear-wheel drive vehicle that is running,
Wheel rotation information detecting means for detecting wheel rotation information of each tire of the vehicle;
Wheel speed calculating means for calculating the wheel speed from the wheel rotation information detected by the wheel rotation information detecting means;
Determination value calculation means for obtaining a pressure reduction determination value by relative comparison of wheel speeds calculated by the wheel speed calculation means;
Determining means for determining a decrease in the internal pressure of the tire when the magnitude of the obtained decompression judgment value exceeds a predetermined threshold,
The predetermined threshold value is determined in advance from the relationship between the load sensitivity and the depressurization sensitivity when turning the vehicle related to the tire to be mounted on the vehicle, and the load sensitivity obtained by turning during initialization. It further includes a threshold setting means for setting based on the sensitivity,
This threshold value setting means is based on a comparison between the amount of change in the dynamic load radius on the left and right of the driven wheel at the time of vehicle turning obtained from the wheel speed and the amount of change in the dynamic load radius on the left and right of the drive wheel at the time of vehicle turning obtained from the wheel speed. The load sensitivity is estimated, and when the wheel speeds of the right wheel and the left wheel of the driven wheel (idler) and the driving wheel (drive) are respectively ω R and ω L , the regression coefficient is obtained from the following formulas: Tire internal pressure drop detecting device.
Figure 0005039804
走行中の前輪駆動車又は後輪駆動車の各輪に装着されたタイヤの車輪速度を相対比較することにより当該タイヤの内圧低下を検出するためにコンピュータを、
車両の各タイヤの車輪回転情報から車輪速度を算出する車輪速度算出手段、
この車輪速度算出手段により算出された車輪速度の相対比較により減圧判定値を求める判定値算出手段、
得られた減圧判定値の大きさが所定の閾値を超えた場合にタイヤの内圧低下を判定する判定手段、及び
前記所定の閾値を、予め求めておいた前記車両に装着予定のタイヤに係る車両旋回時の荷重感度と減圧感度の関係と、初期化時に旋回走行することで得られる荷重感度とから求められる減圧感度に基づいて設定する閾値設定手段
として機能させ、前記閾値設定手段は、前記車輪速度から得られる車両旋回時の従動輪左右の動荷重半径変化量と、前記車輪速度から得られる車両旋回時の駆動輪左右の動荷重半径変化量との比較により前記荷重感度を推定し、従動輪(idler)と駆動輪(drive)の右輪および左輪の車輪速をそれぞれω、ωとすると、以下の式から求められる回帰係数とすることを特徴とするタイヤ内圧低下検出プログラム。
Figure 0005039804
A computer for detecting a decrease in the internal pressure of the tire by comparing the wheel speed of the tire mounted on each wheel of the front-wheel drive vehicle or the rear-wheel drive vehicle that is running,
Wheel speed calculating means for calculating wheel speed from wheel rotation information of each tire of the vehicle,
Determination value calculation means for obtaining a pressure reduction determination value by relative comparison of wheel speeds calculated by the wheel speed calculation means;
A determination means for determining a decrease in the internal pressure of a tire when the magnitude of the obtained pressure reduction determination value exceeds a predetermined threshold, and a vehicle related to a tire to be attached to the vehicle for which the predetermined threshold is determined in advance The threshold setting means functions as threshold setting means for setting based on the pressure sensitivity obtained from the relationship between the load sensitivity and the pressure reduction sensitivity during turning and the load sensitivity obtained by turning during initialization. The load sensitivity is estimated by comparing the amount of change in the dynamic load radius on the left and right of the driven wheel when turning the vehicle obtained from the speed and the amount of change in the dynamic load radius on the left and right of the drive wheel when turning the vehicle obtained from the wheel speed. wheel (idler) and the driven wheel (where drive) right wheel and the left wheel, respectively omega R the wheel speeds of, when omega L, the tire pressure drop detection, characterized in that the regression coefficient obtained from the following formula Program.
Figure 0005039804
JP2010049243A 2010-01-29 2010-03-05 Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program Active JP5039804B2 (en)

Priority Applications (3)

Application Number Priority Date Filing Date Title
JP2010049243A JP5039804B2 (en) 2010-03-05 2010-03-05 Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program
EP10013324.8A EP2364865B1 (en) 2010-01-29 2010-10-05 Method and apparatus for detecting tire having decreased internal pressure, and program for detecting tire having decreased internal pressure
US12/900,646 US8577540B2 (en) 2010-01-29 2010-10-08 Method and apparatus for detecting tire having decreased internal pressure, and program for detecting tire having decreased internal pressure

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP2010049243A JP5039804B2 (en) 2010-03-05 2010-03-05 Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program

Publications (2)

Publication Number Publication Date
JP2011183874A JP2011183874A (en) 2011-09-22
JP5039804B2 true JP5039804B2 (en) 2012-10-03

Family

ID=44790685

Family Applications (1)

Application Number Title Priority Date Filing Date
JP2010049243A Active JP5039804B2 (en) 2010-01-29 2010-03-05 Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program

Country Status (1)

Country Link
JP (1) JP5039804B2 (en)

Family Cites Families (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP3929965B2 (en) * 2003-11-20 2007-06-13 住友ゴム工業株式会社 Load sensitivity calculation method and apparatus for tire dynamic load radius, and tire load sensitivity calculation program
JP3929962B2 (en) * 2003-10-27 2007-06-13 住友ゴム工業株式会社 Tire pressure drop detection method and apparatus, and tire decompression determination program
JP3929961B2 (en) * 2003-10-27 2007-06-13 住友ゴム工業株式会社 Tire pressure drop detection method and apparatus, and tire decompression determination program
JP5555486B2 (en) * 2009-12-25 2014-07-23 住友ゴム工業株式会社 Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program

Also Published As

Publication number Publication date
JP2011183874A (en) 2011-09-22

Similar Documents

Publication Publication Date Title
JP5346659B2 (en) Vehicle mass estimation device, method and program, and tire air pressure drop detection device, method and program
JP5538279B2 (en) Vehicle mass estimation device, method and program, and tire air pressure drop detection device, method and program
US8577540B2 (en) Method and apparatus for detecting tire having decreased internal pressure, and program for detecting tire having decreased internal pressure
JP4463311B2 (en) Tire pressure drop detection method and apparatus, and tire decompression determination program
JP4244354B2 (en) Tire pressure drop warning method, apparatus and program
JP2008247126A (en) Tire wear warning method
JP5023188B2 (en) Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program
JP5427868B2 (en) Tire pressure drop detection method, apparatus and program
JP2008249523A (en) Method, device and program for alarming abnormal drop in tire pneumatic pressure
JP5265145B2 (en) Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program
JP4324531B2 (en) Tire pressure drop detection device and method
JP5069970B2 (en) Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program
JP5555486B2 (en) Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program
JP2006182042A (en) Detection method and device for tire air pressure drop
JP5039804B2 (en) Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program
JP2004017716A (en) Tire air pressure lowering detecting method and device and tire air pressure reduction determining program
JP2010076702A (en) Method and device for detecting tire internal pressure drop, and program for detecting tire internal pressure drop
JP5032604B2 (en) Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program
JP2010076703A (en) Method and device for estimating wheel load of tire, and program for estimating wheel load of tire
JP2009014586A (en) Method, device and program for detecting tire pressure lowering
JP2010076700A (en) Method and device for estimating wheel load of tire, and program for estimating wheel load of tire
JP2005127975A (en) Method and system for tire air failure sensing, and program of tire pressure reduction determining
JP3605006B2 (en) Tire pressure drop warning device and method
JP5553740B2 (en) Tire pressure drop detection device and method, and tire pressure drop detection program
JP5122182B2 (en) Tire internal pressure drop detection method and apparatus, and tire internal pressure drop detection program

Legal Events

Date Code Title Description
A131 Notification of reasons for refusal

Free format text: JAPANESE INTERMEDIATE CODE: A131

Effective date: 20120131

A977 Report on retrieval

Free format text: JAPANESE INTERMEDIATE CODE: A971007

Effective date: 20120131

A521 Request for written amendment filed

Free format text: JAPANESE INTERMEDIATE CODE: A523

Effective date: 20120328

TRDD Decision of grant or rejection written
A01 Written decision to grant a patent or to grant a registration (utility model)

Free format text: JAPANESE INTERMEDIATE CODE: A01

Effective date: 20120626

A01 Written decision to grant a patent or to grant a registration (utility model)

Free format text: JAPANESE INTERMEDIATE CODE: A01

A61 First payment of annual fees (during grant procedure)

Free format text: JAPANESE INTERMEDIATE CODE: A61

Effective date: 20120709

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20150713

Year of fee payment: 3

R150 Certificate of patent or registration of utility model

Ref document number: 5039804

Country of ref document: JP

Free format text: JAPANESE INTERMEDIATE CODE: R150

Free format text: JAPANESE INTERMEDIATE CODE: R150

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250