JP2018119921A - Tire wear performance prediction method - Google Patents
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Abstract
Description
本発明は、タイヤの摩耗性能を、より正確に予測することができるタイヤ摩耗性能予測方法に関する。 The present invention relates to a tire wear performance prediction method capable of predicting tire wear performance more accurately.
従来、タイヤの摩耗性能を予測するための方法が、種々提案されている。例えば、下記特許文献１では、模擬路面上でタイヤを転動させて、タイヤ摩耗を試験するタイヤ摩耗試験方法が提案されている。 Conventionally, various methods for predicting the wear performance of a tire have been proposed. For example, Patent Document 1 below proposes a tire wear test method for testing tire wear by rolling a tire on a simulated road surface.
この特許文献１のタイヤ摩耗試験方法では、実車走行により計測された加速度から、前後方向加速度及び横方向加速度の頻度分布を算出するとともに、前後方向加速度又は横方向加速度が単独で作用しているときのタイヤの外的条件を取得し、この頻度分布と外的条件とに基づいて、タイヤの摩耗性能を予測している。 In the tire wear test method of Patent Document 1, when calculating the frequency distribution of the longitudinal acceleration and the lateral acceleration from the acceleration measured by actual vehicle travel, the longitudinal acceleration or the lateral acceleration is acting independently. The external condition of the tire is acquired, and the wear performance of the tire is predicted based on the frequency distribution and the external condition.
しかしながら、上記特許文献１のタイヤ摩耗試験方法は、前後加速度と横加速度とを同時に受けながら走行する複合走行時のタイヤ摩耗を、前後方向加速度及び横方向加速度が線型に累積するという技術思想に基づいて頻度分布から予測しており、実際の複合走行時のタイヤ摩耗と異なった状況で評価されるという問題があった。 However, the tire wear test method of Patent Document 1 is based on the technical idea that the longitudinal wear and the lateral acceleration are accumulated linearly in the tire wear during the combined running in which the vehicle runs while receiving the longitudinal acceleration and the lateral acceleration at the same time. Therefore, there is a problem that it is estimated from a frequency distribution and evaluated in a situation different from tire wear during actual combined driving.
本発明は、以上のような実状に鑑み案出されたもので、任意の横加速度と任意の前後加速度から複合摩耗エネルギーを求めることを基本として、タイヤの摩耗性能を、より正確に予測することができるタイヤ摩耗性能予測方法を提供することを主たる目的としている。 The present invention has been devised in view of the above circumstances, and more accurately predicts the wear performance of a tire on the basis of obtaining a composite wear energy from an arbitrary lateral acceleration and an arbitrary longitudinal acceleration. The main object is to provide a method for predicting tire wear performance.
本発明は、路面に接地する走行用のタイヤを備えた車両が、前後加速度と横加速度とを同時に受けながら走行する複合走行時のタイヤ摩耗性能を予測するための方法であって、
前記車両に前記横加速度を固定しかつ前記前後加速度を変化させたときの前記タイヤの摩耗エネルギーＥ１を計算する第１計算工程と、前記摩耗エネルギーＥ１を回帰分析して、前記摩耗エネルギーＥ１の第１回帰式を導出する第１導出工程と、前記第１回帰式から、前記横加速度を固定しかつ任意の前記前後加速度を作用させたときの合成摩耗エネルギーＥ２を算出する第１算出工程と、前記合成摩耗エネルギーＥ２を回帰分析して、前記合成摩耗エネルギーＥ２の第２回帰式を導出する第２導出工程と、前記第２回帰式から、前記複合走行時の前記タイヤの摩耗エネルギーである複合摩耗エネルギーＥを算出する第２算出工程と、前記第２算出工程で算出された複合摩耗エネルギーＥに基づいて、前記複合走行時のタイヤ摩耗性能を予測する予測工程とを含むことを特徴とする。
The present invention is a method for predicting tire wear performance during combined traveling in which a vehicle including a traveling tire that contacts the road surface travels while simultaneously receiving longitudinal acceleration and lateral acceleration,
A first calculation step of calculating the wear energy E1 of the tire when the lateral acceleration is fixed to the vehicle and the longitudinal acceleration is changed, and the wear energy E1 is subjected to regression analysis to obtain a first of the wear energy E1. A first derivation step for deriving one regression equation, and a first calculation step for calculating a composite wear energy E2 when the lateral acceleration is fixed and an arbitrary longitudinal acceleration is applied from the first regression equation; A second derivation step of deriving a second regression equation of the synthetic wear energy E2 by regression analysis of the synthetic wear energy E2, and a composite that is the wear energy of the tire during the combined running from the second regression equation Based on the second calculation step for calculating the wear energy E and the combined wear energy E calculated in the second calculation step, the tire wear performance during the combined running is predicted. That is characterized in that it comprises a prediction process.
本発明に係るタイヤ摩耗性能予測方法は、前記第１計算工程は、前記車両に前記前後加速度を固定しかつ前記横加速度を変化させたときの前記タイヤの摩耗エネルギーＥ３を計算し、前記第１導出工程は、前記摩耗エネルギーＥ３を回帰分析して、前記摩耗エネルギーＥ３の第３回帰式を導出し、前記第１算出工程は、前記第３回帰式から、前記前後加速度を固定しかつ任意の前記横加速度を作用させたときの合成摩耗エネルギーＥ４を算出し、前記第２導出工程は、前記合成摩耗エネルギーＥ４を回帰分析して、前記合成摩耗エネルギーＥ４の第４回帰式を導出し、前記第２算出工程は、前記第４回帰式から、前記複合走行時の前記タイヤの摩耗エネルギーである複合摩耗エネルギーＥを算出しても良い。 In the tire wear performance prediction method according to the present invention, the first calculation step calculates the tire wear energy E3 when the longitudinal acceleration is fixed to the vehicle and the lateral acceleration is changed. The deriving step performs regression analysis of the wear energy E3 to derive a third regression equation of the wear energy E3, and the first calculation step fixes the longitudinal acceleration from the third regression equation and is arbitrary The composite wear energy E4 when the lateral acceleration is applied is calculated, and the second derivation step performs regression analysis of the composite wear energy E4 to derive a fourth regression equation of the composite wear energy E4, In the second calculation step, a composite wear energy E that is a wear energy of the tire during the combined travel may be calculated from the fourth regression equation.
本発明に係るタイヤ摩耗性能予測方法は、前記第１計算工程で計算される前記摩耗エネルギーＥ１は、前後方向摩耗エネルギー及び横方向摩耗エネルギーを含むのが望ましい。 In the tire wear performance prediction method according to the present invention, it is preferable that the wear energy E1 calculated in the first calculation step includes a front-rear wear energy and a lateral wear energy.
本発明のタイヤ摩耗性能予測方法は、車両に前記横加速度を固定しかつ前記前後加速度を変化させたときの前記タイヤの摩耗エネルギーＥ１を計算する第１計算工程と、前記摩耗エネルギーＥ１を回帰分析して、前記摩耗エネルギーＥ１の第１回帰式を導出する第１導出工程と、前記第１回帰式から、前記横加速度を固定しかつ任意の前記前後加速度を作用させたときの合成摩耗エネルギーＥ２を算出する第１算出工程と、前記合成摩耗エネルギーＥ２を回帰分析して、前記合成摩耗エネルギーＥ２の第２回帰式を導出する第２導出工程と、前記第２回帰式から、前記複合走行時の前記タイヤの摩耗エネルギーである複合摩耗エネルギーＥを算出する第２算出工程と、前記第２算出工程で算出された複合摩耗エネルギーＥに基づいて、前記複合走行時のタイヤ摩耗性能を予測する予測工程とを含んでいる。 The tire wear performance prediction method of the present invention includes a first calculation step of calculating the wear energy E1 of the tire when the lateral acceleration is fixed to the vehicle and the longitudinal acceleration is changed, and regression analysis of the wear energy E1. Then, from the first derivation step for deriving the first regression equation of the wear energy E1, and the first regression equation, the combined wear energy E2 when the lateral acceleration is fixed and the arbitrary longitudinal acceleration is applied. From the first calculation step, the second derivation step of deriving a second regression equation of the synthetic wear energy E2 by regression analysis of the synthetic wear energy E2, and the combined regression time from the second regression equation. A second calculation step for calculating a composite wear energy E, which is a wear energy of the tire, and the composite wear energy E calculated in the second calculation step. The tire wear performance during traveling and a prediction step of predicting.
このような複合摩耗エネルギーＥは、横加速度及び前後加速度が同時に作用している状態の摩耗エネルギーとして求められる。とりわけ、前後方向摩耗エネルギーと横方向摩耗エネルギーが同時に作用する横加速度及び前後加速度によって複合摩耗エネルギーＥが求められる。このため、横方向加速度及び前後方向加速度を実際の複合走行時に近い状態にして、タイヤの摩耗エネルギーを分析し得るので、正確なタイヤ摩耗性能予測が可能となる。 Such composite wear energy E is obtained as wear energy in a state where lateral acceleration and longitudinal acceleration are acting simultaneously. In particular, the composite wear energy E is determined by the lateral acceleration and the longitudinal acceleration in which the longitudinal wear energy and the lateral wear energy act simultaneously. For this reason, it is possible to analyze the tire wear energy with the lateral acceleration and the longitudinal acceleration close to those in the actual combined traveling, so that accurate tire wear performance prediction is possible.
以下、本発明の実施の一形態が図面に基づき説明される。
本発明のタイヤ摩耗性能予測方法（以下、単に「予測方法」ということがある。）は、路面に接地する走行用のタイヤを備えた車両が複合走行するときの、タイヤ摩耗性能を予測するための方法である。前記「複合走行」とは、車両が、前後加速度と横加速度とを同時に受けながら走行することをいう。
Hereinafter, an embodiment of the present invention will be described with reference to the drawings.
The tire wear performance prediction method of the present invention (hereinafter, also simply referred to as “prediction method”) is for predicting tire wear performance when a vehicle equipped with a traveling tire that contacts the road surface travels in a complex manner. It is a method. The “composite travel” means that the vehicle travels while receiving both longitudinal acceleration and lateral acceleration at the same time.
図１は、本実施形態の予測方法を示すフローチャートである。図１に示されるように、本実施形態の予測方法では、第１計算工程Ｎ１、第１導出工程Ｎ２、第１算出工程Ｎ３、第２導出工程Ｎ４、第２算出工程Ｎ５、及び、予測工程Ｎ６を含んでいる。このようなタイヤ摩耗性能予測方法は、例えば、周知のドラム試験機（図示省略）によって実験的に予測されても良いし、また、例えば、コンピュータによる有限要素法等を用いたコンピュータシミュレーションによって予測されても良い。さらに、タイヤ摩耗性能予測方法は、例えば、ドラム試験機とコンピュータシミュレーションとをそれぞれ用いて予測しても良い。本実施形態では、工程Ｎ１乃至Ｎ６において、有限要素法等を用いたコンピュータシミュレーションが用いられる。 FIG. 1 is a flowchart showing the prediction method of this embodiment. As shown in FIG. 1, in the prediction method of the present embodiment, the first calculation step N1, the first derivation step N2, the first calculation step N3, the second derivation step N4, the second calculation step N5, and the prediction step N6 is included. Such a tire wear performance prediction method may be experimentally predicted by, for example, a well-known drum tester (not shown), or may be predicted by, for example, computer simulation using a computer finite element method or the like. May be. Further, the tire wear performance prediction method may be predicted using, for example, a drum tester and a computer simulation. In the present embodiment, computer simulation using a finite element method or the like is used in steps N1 to N6.
コンピュータシミュレーションの場合、例えば、周知な入力工程と設定工程が行われる。入力工程では、本実施形態では、コンピュータに、トレッド部を含むタイヤモデルを入力する。設定工程は、本実施形態では、タイヤモデル等の初期設定、例えば、路面モデルの設定、境界条件の設定、タイヤモデルの内圧付加及びタイヤモデルと路面モデルとの接地等を行うものである。 In the case of computer simulation, for example, a well-known input process and setting process are performed. In the input process, in the present embodiment, a tire model including a tread portion is input to the computer. In the present embodiment, the setting step performs initial setting of the tire model, for example, setting of the road surface model, setting of boundary conditions, addition of internal pressure of the tire model, and contact between the tire model and the road surface model.
入力工程は、例えば、タイヤに関する情報に基づいて、タイヤを数値解析法により有限個の小さな要素Ｆ（ｉ）に離散化する。要素Ｆ（ｉ）としては、例えば、４面体ソリッド要素が用いられる。要素Ｆ（ｉ）には、要素番号、節点Ｐ（ｊ）の番号等の数値データが定義される。 In the input process, for example, the tire is discretized into a finite number of small elements F (i) by numerical analysis based on information on the tire. For example, a tetrahedral solid element is used as the element F (i). In the element F (i), numerical data such as an element number and the number of the node P (j) are defined.
次に第1計算工程Ｎ１が行われる。第１計算工程Ｎ１は、本実施形態では、車両に横加速度を固定しかつ前後加速度を変化させて作用させたときのタイヤの摩耗エネルギーＥ１を計算する工程である。第１計算工程Ｎ１で求められる摩耗エネルギーＥ１は、例えば、車両の旋回半径、及び／又は、旋回速度を固定して、加速又は減速を変化させたときの、タイヤのせん断力Ｈ（ｔ）とすべり量Ｌ（ｔ）とが単位時間ｔ毎に求められる。前後加速度は、例えば、加速度が約−４．９m/s２（−０．５G）〜約４．９m/s２（０．５G）の間の任意の幅で、等ピッチに１００〜１０００程度、変化させたものが採用される。また、横加速度は、例えば、各々、加速度が約−４．９m/s２（−０．５G）〜約４．９m/s２（０．５G）の間の任意の幅で、等ピッチな１００〜１０００程度異ならせたものが採用される。 Next, the first calculation process N1 is performed. In the present embodiment, the first calculation step N1 is a step of calculating the wear energy E1 of the tire when the lateral acceleration is fixed to the vehicle and the longitudinal acceleration is changed. The wear energy E1 obtained in the first calculation step N1 is, for example, the tire shearing force H (t) when changing the acceleration or deceleration while fixing the turning radius and / or turning speed of the vehicle. The slip amount L (t) is obtained every unit time t. The longitudinal acceleration is, for example, an arbitrary width between about −4.9 m / s 2 (−0.5 G) and about 4.9 m / s 2 (0.5 G) with an acceleration of about 100 to 1000 at an equal pitch. The changed one is adopted. Further, the lateral acceleration is, for example, an arbitrary width between about −4.9 m / s 2 (−0.5 G) and about 4.9 m / s 2 (0.5 G) at an equal pitch. What is varied by about 100 to 1000 is employed.
第１計算工程Ｎ１は、本実施形態では、摩耗エネルギーＥ１として、前後方向摩耗エネルギーＥａ及び横方向摩耗エネルギーＥｂが計算される。すなわち、第１計算工程Ｎ１では、車両に横加速度を固定しかつ前後加速度を変化させて作用させたときのタイヤの摩耗エネルギーＥ１が、前後方向（タイヤ周方向）と横方向（タイヤ軸方向）との各成分に分解して計算される。このような第１計算工程Ｎ１は、車両に横加速度を固定しかつ前後加速度を変化させて作用させたときの摩耗エネルギーＥ１を、より正確に分析することができる。 In the first calculation step N1, in the present embodiment, the longitudinal wear energy Ea and the lateral wear energy Eb are calculated as the wear energy E1. That is, in the first calculation step N1, the wear energy E1 of the tire when the lateral acceleration is fixed and the longitudinal acceleration is changed is applied to the vehicle in the longitudinal direction (tire circumferential direction) and the lateral direction (tire axial direction). It is calculated by decomposing each component. Such a first calculation step N1 can analyze the wear energy E1 when the lateral acceleration is fixed to the vehicle and the longitudinal acceleration is changed to act on the vehicle more accurately.
第１計算工程Ｎ１で求められる前後方向摩耗エネルギーＥａは、本実施形態では、タイヤの各前後方向せん断力Ｈ１（ｔ）と各前後方向すべり量Ｌ１（ｔ）との積の総和として、下記式（１）に基づいて計算される。また、横方向摩耗エネルギーＥｂは、例えば、各横方向せん断力Ｈ２（ｔ）と各横方向すべり量Ｌ２（ｔ）との積の総和として、下記式（２）に基づいて計算される。
Ｅａ＝Σ｛Ｈ１（ｔ）×Ｌ１（ｔ）｝ … （１）
Ｅｂ＝Σ｛Ｈ２（ｔ）×Ｌ２（ｔ）｝ … （２）
In the present embodiment, the longitudinal wear energy Ea obtained in the first calculation step N1 is expressed by the following formula as the sum of products of the respective longitudinal shear forces H1 (t) and the respective longitudinal slip amounts L1 (t) of the tire. Calculated based on (1). Further, the lateral wear energy Eb is calculated based on the following formula (2), for example, as the sum of products of the respective lateral shear forces H2 (t) and the respective lateral slip amounts L2 (t).
Ea = Σ {H1 (t) × L1 (t)} (1)
Eb = Σ {H2 (t) × L2 (t)} (2)
本実施形態では、これらのタイヤの摩耗エネルギーＥ１は、複数の周方向溝で区分されるリブ毎に複数箇所で摩耗エネルギーとして計算されるのが望ましい。リブの数としては、例えば、３〜７個程度が望ましい。また、リブ毎にタイヤ周方向位置を揃え、さらにタイヤ軸方向位置を揃えて摩耗エネルギーを計算するのが望ましい。 In this embodiment, it is desirable that the wear energy E1 of these tires is calculated as wear energy at a plurality of locations for each rib divided by a plurality of circumferential grooves. The number of ribs is preferably about 3 to 7, for example. Further, it is desirable to calculate the wear energy by aligning the tire circumferential direction position for each rib and further aligning the tire axial direction position.
第１導出工程Ｎ２は、本実施形態では、摩耗エネルギーＥ１を回帰分析することにより、摩耗エネルギーＥ１の第１回帰式を導出する。第１回帰式は、例えば、説明変数を前後加速度として、摩耗エネルギーＥ１を目的変数とする。具体的には、前後加速度を説明変数、前後方向摩耗エネルギーと横方向摩耗エネルギーとの和（Ｅａ＋Ｅｂ）を目的変数として下記第１回帰式（３）を求める。このように、本実施形態では、摩耗エネルギーＥ１の第１回帰式は、合算摩耗エネルギー（Ｅａ＋Ｅｂ）の回帰式として導出される。なお、下記式（３）のｆは、説明変数として用いられる前後加速度であり、係数ａ１、ｂ１は、周知の回帰分析法、例えば最小２乗法を用いて求められる。
Ｅ１＝Ｅａ＋Ｅｂ＝ａ１×ｆ＋ｂ１ … （３）
In the first derivation step N2, in the present embodiment, the first regression equation of the wear energy E1 is derived by performing regression analysis of the wear energy E1. In the first regression equation, for example, the explanatory variable is the longitudinal acceleration and the wear energy E1 is the target variable. Specifically, the following first regression equation (3) is obtained using the longitudinal acceleration as an explanatory variable and the sum (Ea + Eb) of the longitudinal wear energy and the lateral wear energy as an objective variable. Thus, in the present embodiment, the first regression equation of the wear energy E1 is derived as a regression equation of the combined wear energy (Ea + Eb). Note that f in the following formula (3) is a longitudinal acceleration used as an explanatory variable, and the coefficients a1 and b1 are obtained by using a well-known regression analysis method, for example, a least square method.
E1 = Ea + Eb = a1 × f + b1 (3)
なお、第１導出工程Ｎ２では、例えば、説明変数を単位時間ｔとして、前後方向摩耗エネルギーＥａ、及び、横方向摩耗エネルギーＥｂをそれぞれ目的変数とする２つの回帰式、例えば、２つの１次以上のｎ次回帰式を求めても良い。 Note that in the first derivation step N2, for example, two regression equations, for example, two or more first-order or more, with the explanatory variable as the unit time t and the longitudinal wear energy Ea and the lateral wear energy Eb as objective variables, respectively. N-order regression equation may be obtained.
第１算出工程Ｎ３は、第１回帰式から、横加速度を固定しかつ任意の前後加速度を作用させたときの合成摩耗エネルギーＥ２を算出する。第１算出工程Ｎ３は、本実施形態では、第１回帰式（３）を用いて、第１計算工程Ｎ１で固定された横加速度毎に、第１計算工程Ｎ１で変化させた前後加速度を用い、例えば、第１計算工程Ｎ１で変化させた前後加速度の全てを用いて合成摩耗エネルギーＥ２を求める。 In the first calculation step N3, the composite wear energy E2 when the lateral acceleration is fixed and an arbitrary longitudinal acceleration is applied is calculated from the first regression equation. In the present embodiment, the first calculation step N3 uses the longitudinal acceleration changed in the first calculation step N1 for each lateral acceleration fixed in the first calculation step N1, using the first regression equation (3). For example, the composite wear energy E2 is obtained using all of the longitudinal accelerations changed in the first calculation step N1.
第２導出工程Ｎ４は、本実施形態では、合成摩耗エネルギーＥ２を回帰分析することにより、合成摩耗エネルギーＥ２の第２回帰式を導出する。第２回帰式は、例えば、説明変数を横加速度として、合成摩耗エネルギーＥ２を目的変数として下記回帰式（４）を求める。合成摩耗エネルギーＥ２は、上述の通り、回帰式（３）により算出された合算摩耗エネルギー（Ｅａ＋Ｅｂ）に基づいて算出されたものである。なお、下記式（４）のｇは、説明変数として用いられる横加速度であり、係数ａ２、ｂ２は、周知の回帰分析法、例えば最小２乗法を用いて求める。
Ｅ２＝ａ２×ｇ＋ｂ２ … （４）
In the second derivation step N4, in the present embodiment, a regression equation of the synthetic wear energy E2 is derived by performing regression analysis of the synthetic wear energy E2. As for the second regression equation, for example, the following regression equation (4) is obtained with the explanatory variable as the lateral acceleration and the synthetic wear energy E2 as the objective variable. As described above, the synthetic wear energy E2 is calculated based on the combined wear energy (Ea + Eb) calculated by the regression equation (3). Note that g in the following equation (4) is a lateral acceleration used as an explanatory variable, and the coefficients a2 and b2 are obtained by using a well-known regression analysis method, for example, the least square method.
E2 = a2 × g + b2 (4)
なお、第２導出工程Ｎ４では、第１導出工程Ｎ２と同様に、例えば、説明変数を単位時間ｔとして、合成摩耗エネルギーＥ２を目的変数とする、例えば、２つの１次以上のｎ次回帰式を求めても良い。 In the second derivation step N4, as in the first derivation step N2, for example, the explanatory variable is a unit time t and the synthetic wear energy E2 is an objective variable. You may ask for.
第２算出工程Ｎ５は、第２回帰式から、複合走行時のタイヤの摩耗エネルギーである複合摩耗エネルギーＥを算出する。本実施形態の第２算出工程Ｎ５は、第２回帰式（４）を用いて、第１計算工程Ｎ１で採用された前後加速度毎に固定して、第１計算工程Ｎ１で固定された各横加速度を採用、例えば、第１計算工程Ｎ１で固定された各横加速度全て採用して算出された摩耗エネルギーが、複合走行時の複合摩耗エネルギーＥとして求められる。このような複合摩耗エネルギーＥは、横加速度及び前後加速度が同時に作用している状態の摩耗エネルギーとして求められる。とりわけ、本実施形態では、前後方向摩耗エネルギーと横方向摩耗エネルギーが、同時に作用する横加速度及び前後加速度によって複合摩耗エネルギーＥが求められるので、精度の良い複合の摩耗エネルギーを得ることができる。 In the second calculation step N5, the composite wear energy E, which is the wear energy of the tire during the combined running, is calculated from the second regression equation. In the second calculation step N5 of the present embodiment, each lateral acceleration fixed in the first calculation step N1 is fixed using the second regression equation (4) for each longitudinal acceleration employed in the first calculation step N1. The wear energy calculated by adopting acceleration, for example, by adopting all the lateral accelerations fixed in the first calculation step N1, is obtained as the composite wear energy E during the combined travel. Such composite wear energy E is obtained as wear energy in a state where lateral acceleration and longitudinal acceleration are acting simultaneously. In particular, in this embodiment, since the composite wear energy E is obtained by the lateral acceleration and the longitudinal acceleration in which the longitudinal wear energy and the lateral wear energy act simultaneously, the composite wear energy with high accuracy can be obtained.
第２算出工程Ｎ５は、本実施形態では、さらに、複合走行時の複合摩耗エネルギーＥに基づいて、補正複合摩耗エネルギーＥＡが計算される。補正複合摩耗エネルギーＥＡは、具体的には、下記式（５）に基づいて計算される。コンピュータシミュレーションの場合、例えば、上記各摩耗エネルギーは、各要素Ｆ（ｉ）の節点Ｐ（ｊ）毎に計算される。
ＥＡ＝Σ（Ａ１×Ｅ） ・・・（５）
なお、Ａ１は、予め設定された係数である。
In the second calculation step N5, in the present embodiment, the corrected combined wear energy EA is further calculated based on the combined wear energy E during combined travel. Specifically, the corrected combined wear energy EA is calculated based on the following formula (5). In the case of computer simulation, for example, each wear energy is calculated for each node P (j) of each element F (i).
EA = Σ (A1 × E) (5)
A1 is a preset coefficient.
係数Ａ１は、例えば、車両毎に個別に設定され得る。すなわち、車両の特性に応じて、係数Ａ１は適宜調整され得る。また、係数Ａ１は、例えば、タイヤ毎に個別に設定され得る。すなわち、同じタイヤであっても、前輪か後輪か、また、駆動輪か従動輪かに応じて、係数Ａ１は適宜調整され得る。このため、第１実施形態の予測方法は、車両毎又はタイヤ毎に適切な係数Ａ１を選択することができ、その結果、任意の横加速度及び任意の前後加速度が作用して走行するタイヤ摩耗性能をより正確に予測することができる。 The coefficient A1 can be set individually for each vehicle, for example. That is, the coefficient A1 can be appropriately adjusted according to the characteristics of the vehicle. The coefficient A1 can be set individually for each tire, for example. That is, even for the same tire, the coefficient A1 can be appropriately adjusted depending on whether the front wheel or the rear wheel, or the driving wheel or the driven wheel. For this reason, the prediction method of the first embodiment can select an appropriate coefficient A1 for each vehicle or for each tire, and as a result, the tire wear performance that travels with any lateral acceleration and any longitudinal acceleration acting. Can be predicted more accurately.
また、係数Ａ１は、加速時と減速時とで異なる値が設定されるのが望ましい。このため、本実施形態の予測方法は、加速しながら旋回する走行モードと、減速しながら旋回する旋回モードとのそれぞれの特性に適した係数Ａ１を設定することが望ましい。その結果、複合走行時のタイヤ摩耗性能をより正確に予測することができる。 The coefficient A1 is preferably set to a different value between acceleration and deceleration. For this reason, it is desirable for the prediction method of this embodiment to set the coefficient A1 suitable for each characteristic of the running mode that turns while accelerating and the turning mode that turns while decelerating. As a result, it is possible to predict the tire wear performance during combined traveling more accurately.
予測工程Ｎ６は、本実施形態では、補正複合摩耗エネルギーＥＡに基づいて、複合走行時のタイヤ摩耗性能を予測する。なお、予測工程Ｎ６は、補正されることなく、複合摩耗エネルギーＥに基づいて、複合走行時のタイヤ摩耗性能を予測されても良い。予測工程Ｎ６では、例えば、タイヤ摩耗性能として、タイヤ摩耗量Ｄが計算され、その計算結果に基づいて摩耗性能が予測される。タイヤ摩耗量Ｄは、例えば、複合摩耗エネルギーＥとトレッド部の材料の摩耗係数Ｋとの積として、下記式（６）に基づいて計算される。
Ｄ＝Ｋ×Ｅ … （６）
In the prediction step N6, in the present embodiment, the tire wear performance during the combined running is predicted based on the corrected combined wear energy EA. In the prediction step N6, the tire wear performance during the combined running may be predicted based on the combined wear energy E without being corrected. In the prediction step N6, for example, the tire wear amount D is calculated as the tire wear performance, and the wear performance is predicted based on the calculation result. The tire wear amount D is calculated based on the following formula (6) as a product of the composite wear energy E and the wear coefficient K of the material of the tread portion, for example.
D = K × E (6)
なお、他の実施形態として、第１計算工程Ｎ１、第１導出工程Ｎ２、第１算出工程Ｎ３、第２導出工程Ｎ４を次のような態様としても良い。第１計算工程Ｎ１は、車両に前後加速度を固定しかつ横加速度を変化させたときのタイヤの摩耗エネルギーＥ３を計算する。第１導出工程Ｎ２は、摩耗エネルギーＥ３を回帰分析して、摩耗エネルギーＥ３の第３回帰式を導出する。第１算出工程Ｎ３は、第３回帰式から、前後加速度を固定しかつ任意の前記横加速度を作用させたときの合成摩耗エネルギーＥ４を算出する。第２導出工程Ｎ４は、合成摩耗エネルギーＥ４を回帰分析して、前記合成摩耗エネルギーＥ４の第４回帰式を導出する。第２算出工程は、第４回帰式から、複合走行時のタイヤの摩耗エネルギーである複合摩耗エネルギーＥを算出する。第２算出工程は、例えば、第４回帰式から、横加速度を固定しかつ前後加速度を変化させて、複合走行時のタイヤの摩耗エネルギーである複合摩耗エネルギーＥを算出する。 As another embodiment, the first calculation step N1, the first derivation step N2, the first calculation step N3, and the second derivation step N4 may be configured as follows. The first calculation step N1 calculates tire wear energy E3 when the longitudinal acceleration is fixed to the vehicle and the lateral acceleration is changed. In the first derivation step N2, the wear energy E3 is subjected to regression analysis to derive a third regression equation of the wear energy E3. In the first calculation step N3, the composite wear energy E4 when the longitudinal acceleration is fixed and any lateral acceleration is applied is calculated from the third regression equation. In the second derivation step N4, the synthetic wear energy E4 is subjected to regression analysis, and a fourth regression equation of the synthetic wear energy E4 is derived. In the second calculation step, a composite wear energy E that is the wear energy of the tire during the combined travel is calculated from the fourth regression equation. In the second calculation step, for example, the composite wear energy E, which is the wear energy of the tire during the combined running, is calculated from the fourth regression equation by fixing the lateral acceleration and changing the longitudinal acceleration.
また、予測工程Ｎ６は、本実施形態では、タイヤの摩耗性能として、タイヤ摩耗量Ｄが計算されていたが、複合摩耗エネルギーＥに基づいて、直接タイヤの摩耗性能を予測してもよい。 In the prediction step N6, the tire wear amount D is calculated as the tire wear performance in the present embodiment, but the tire wear performance may be directly predicted based on the composite wear energy E.
以上、本発明の特に好ましい実施形態について詳述したが、本発明は図示の実施形態に限定されることなく、種々の態様に変形して実施し得る。 As mentioned above, although the especially preferable embodiment of this invention was explained in full detail, this invention is not limited to embodiment of illustration, It can deform | transform and implement in a various aspect.
図１に示される予測方法に従って、タイヤのトレッド部について、複合走行時のタイヤ摩耗量が予測された（実施例）。比較例として、車両に前後加速度が単独で作用しているときのタイヤの摩耗エネルギーと車両に横加速度が単独で作用しているときのタイヤの摩耗エネルギーとを累積して複合走行時のタイヤ摩耗量が予測された。式（５）のＡ１は、タイヤが、前輪か後輪であるか、及び、駆動輪か従動輪かに応じて決定された。 According to the prediction method shown in FIG. 1, the tire wear amount at the time of combined traveling was predicted for the tread portion of the tire (Example). As a comparative example, tire wear during combined driving is calculated by accumulating the tire wear energy when the longitudinal acceleration acts on the vehicle alone and the tire wear energy when the lateral acceleration acts on the vehicle alone. The amount was predicted. A1 in Formula (5) was determined depending on whether the tire is a front wheel or a rear wheel, and whether it is a driving wheel or a driven wheel.
結果が図２に示される。図２は、実摩耗量と実施例及び比較例の予測摩耗量との関係を示すグラフである。図２の横軸は、実験的に複合走行時のタイヤ摩耗量を測定した実摩耗量であり、縦軸は、タイヤ摩耗量を実施例又は比較例の方法により予測した予測摩耗量である。実摩耗量と予測摩耗量の計算値との関係が、■印として示され、実摩耗量と比較例の予測摩耗量との関係が◆印として示されている。また、実施例の■印の分布を線型回帰した直線が太い直線で示され、比較例の◆印の分布を線型回帰した直線が細い直線で示されている。 The result is shown in FIG. FIG. 2 is a graph showing the relationship between the actual wear amount and the predicted wear amounts of the examples and comparative examples. The horizontal axis in FIG. 2 is an actual wear amount obtained by experimentally measuring the tire wear amount during combined running, and the vertical axis is a predicted wear amount in which the tire wear amount is predicted by the method of the example or the comparative example. The relationship between the actual wear amount and the calculated value of the predicted wear amount is shown as ■, and the relationship between the actual wear amount and the predicted wear amount of the comparative example is shown as ◆. In addition, a straight line obtained by linear regression of the distribution of the ▪ mark in the example is shown as a thick straight line, and a straight line obtained by linear regression of the distribution of the ♦ mark in the comparative example is shown as a thin straight line.
図２から明らかなように、実施例の■印は、実摩耗量と予測摩耗量とが同一である線上の近傍に分布し、実施例の予測摩耗量が、実摩耗量に近い値となっていることが確認された。従って、実施例は、比較例に対し、複合走行時のタイヤ摩耗性能をより正確に予測していることが確認できた。 As is clear from FIG. 2, the ■ marks in the example are distributed in the vicinity of the line where the actual wear amount and the predicted wear amount are the same, and the predicted wear amount in the example is a value close to the actual wear amount. It was confirmed that Therefore, it was confirmed that the example more accurately predicted the tire wear performance during the combined running than the comparative example.
Ｎ１ 第１計算工程
Ｎ２ 第１導出工程
Ｎ３ 第１算出工程
Ｎ４ 第２導出工程
Ｎ５ 第２算出工程
Ｎ６ 予測工程
N1 first calculation step N2 first derivation step N3 first calculation step N4 second derivation step N5 second calculation step N6 prediction step
Claims (3)
前記車両に前記横加速度を固定しかつ前記前後加速度を変化させたときの前記タイヤの摩耗エネルギーＥ１を計算する第１計算工程と、
前記摩耗エネルギーＥ１を回帰分析して、前記摩耗エネルギーＥ１の第１回帰式を導出する第１導出工程と、
前記第１回帰式から、前記横加速度を固定しかつ任意の前記前後加速度を作用させたときの合成摩耗エネルギーＥ２を算出する第１算出工程と、
前記合成摩耗エネルギーＥ２を回帰分析して、前記合成摩耗エネルギーＥ２の第２回帰式を導出する第２導出工程と、
前記第２回帰式から、前記複合走行時の前記タイヤの摩耗エネルギーである複合摩耗エネルギーＥを算出する第２算出工程と、
前記第２算出工程で算出された複合摩耗エネルギーＥに基づいて、前記複合走行時のタイヤ摩耗性能を予測する予測工程とを含むことを特徴とするタイヤ摩耗性能予測方法。 A method for predicting tire wear performance during combined traveling in which a vehicle having a traveling tire that touches the road surface travels while receiving both longitudinal acceleration and lateral acceleration,
A first calculation step of calculating the wear energy E1 of the tire when the lateral acceleration is fixed to the vehicle and the longitudinal acceleration is changed;
A first derivation step of regressing the wear energy E1 to derive a first regression equation of the wear energy E1,
A first calculation step of calculating a composite wear energy E2 when the lateral acceleration is fixed and an arbitrary longitudinal acceleration is applied from the first regression equation;
A second derivation step of regressing the synthetic wear energy E2 to derive a second regression equation of the synthetic wear energy E2,
A second calculation step of calculating a composite wear energy E that is a wear energy of the tire during the combined running from the second regression equation;
And a prediction step of predicting the tire wear performance during the combined travel based on the combined wear energy E calculated in the second calculation step.
前記第１導出工程は、前記摩耗エネルギーＥ３を回帰分析して、前記摩耗エネルギーＥ３の第３回帰式を導出し、
前記第１算出工程は、前記第３回帰式から、前記前後加速度を固定しかつ任意の前記横加速度を作用させたときの合成摩耗エネルギーＥ４を算出し、
前記第２導出工程は、前記合成摩耗エネルギーＥ４を回帰分析して、前記合成摩耗エネルギーＥ４の第４回帰式を導出し、
前記第２算出工程は、前記第４回帰式から、前記複合走行時の前記タイヤの摩耗エネルギーである複合摩耗エネルギーＥを算出する請求項１記載のタイヤ摩耗性能予測方法。 The first calculation step calculates the wear energy E3 of the tire when the longitudinal acceleration is fixed to the vehicle and the lateral acceleration is changed,
In the first deriving step, the wear energy E3 is subjected to regression analysis, and a third regression equation of the wear energy E3 is derived,
The first calculation step calculates a composite wear energy E4 when the longitudinal acceleration is fixed and an arbitrary lateral acceleration is applied from the third regression equation,
The second deriving step performs regression analysis on the synthetic wear energy E4 to derive a fourth regression equation of the synthetic wear energy E4,
2. The tire wear performance prediction method according to claim 1, wherein the second calculation step calculates a composite wear energy E that is a wear energy of the tire during the combined travel from the fourth regression equation.
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