JP2002340710A - Method and instrument for measuring axial force of bolt - Google Patents

Method and instrument for measuring axial force of bolt

Info

Publication number
JP2002340710A
JP2002340710A JP2001147776A JP2001147776A JP2002340710A JP 2002340710 A JP2002340710 A JP 2002340710A JP 2001147776 A JP2001147776 A JP 2001147776A JP 2001147776 A JP2001147776 A JP 2001147776A JP 2002340710 A JP2002340710 A JP 2002340710A
Authority
JP
Japan
Prior art keywords
bolt
axial force
natural frequency
frequency
vibration
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.)
Pending
Application number
JP2001147776A
Other languages
Japanese (ja)
Inventor
Seiichi Yamaji
成一 山地
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.)
Kawasaki Heavy Industries Ltd
Original Assignee
Kawasaki Heavy 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 Kawasaki Heavy Industries Ltd filed Critical Kawasaki Heavy Industries Ltd
Priority to JP2001147776A priority Critical patent/JP2002340710A/en
Publication of JP2002340710A publication Critical patent/JP2002340710A/en
Pending legal-status Critical Current

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  • Force Measurement Appropriate To Specific Purposes (AREA)

Abstract

PROBLEM TO BE SOLVED: To provide a method and an instrument, which inspect the value of the axial force of a bolt efficiently in reduced inspection time without being affected by individual differences, know-how, etc., for a bolt fastened body which is already fastened. SOLUTION: The natural vibration frequency of the bolt of the bolt fastened body varies with the axial force of the bolt, so the variation is used to find the axial force of the bolt. The natural vibration frequency of the bolt can be found by striking the bolt with a hammer, etc., measuring the sound and vibration which are generated at this time, and by frequency analyzing the sound and vibration. Then the axial force of the bolt is found by making the natural vibration frequency which is found by the frequency analysis correspond to the relation between the axial force and natural frequency which is found by vibration theory or empirically.

Description

【発明の詳細な説明】DETAILED DESCRIPTION OF THE INVENTION

【0001】[0001]

【発明の属する技術分野】本発明はボルト締結体におい
て、ボルトが有している軸力(締付力)を効率良く、か
つ精度良く測定する装置に関するものである。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to an apparatus for efficiently and accurately measuring the axial force (tightening force) of a bolt in a bolted body.

【0002】[0002]

【従来の技術】機械装置の出荷時または使用者の保守作
業時において、ボルトが十分に軸力を保有しているかを
検査することは重要な項目である。既に締結されている
ボルト締結体において、ボルトの残存軸力が規定通りに
なっているか否かを調べる必要がある場合、トルクレン
チ等で規定トルクまでボルトを締付ければボルトの残存
軸力に無関係にボルトに軸力を付与することができる。
2. Description of the Related Art It is an important item to check whether a bolt has sufficient axial force at the time of shipping a mechanical device or at the time of maintenance work by a user. If it is necessary to check whether the remaining axial force of the bolt is already as specified in the already tightened bolted body, tighten the bolt to the specified torque with a torque wrench, etc., regardless of the residual axial force of the bolt. Axial force can be applied to the bolt.

【0003】他の従来技術では、ボルトの軸力を測定す
る方法として、ナット角回転法や歪ゲージをボルトに貼
付し、歪ゲージ値からボルトの軸力を求める方法等があ
り、例えば、特公昭61−550557号公報では、磁
気センサーを用いてボルトの軸力を測定する方法が開示
されている。しかしながら、いずれの場合でも、ボルト
に軸力がない状態からボルトを締付けて、ボルトの軸力
を求める方法であるため、数多くのボルトに適用するに
は極めて作業効率が悪いものである。
[0003] Other conventional techniques for measuring the axial force of a bolt include a nut angle rotation method and a method of attaching a strain gauge to a bolt and calculating the axial force of the bolt from the strain gauge value. Japanese Patent Publication No. 61-550557 discloses a method for measuring the axial force of a bolt using a magnetic sensor. However, in any case, since the bolts are tightened in a state where there is no axial force on the bolts to determine the axial force of the bolts, the working efficiency is extremely poor when applied to a large number of bolts.

【0004】また、特開平11−241960号公報に
は、超音波のボルト伝播速度が軸力に依存することを利
用した圧電素子による超音波の反射時間の測定による方
法が開示されている。しかし、この方法では、予めボル
トの長さを高精度に知る必要があるだけでなく、ボルト
頭部や底部の精密仕上げが新たに必要となる。
Japanese Patent Application Laid-Open No. H11-241960 discloses a method of measuring the reflection time of an ultrasonic wave by a piezoelectric element utilizing the fact that the propagation speed of an ultrasonic bolt depends on an axial force. However, in this method, not only is it necessary to know the length of the bolt with high precision in advance, but also a new precision finishing of the bolt head and bottom is required.

【0005】さらに、ボルトの軸力の有無を作業効率良
く調べる従来技術として、ボルト締結体のボルトの軸力
の有無を検査するために、ハンマーなどでボルトや鋼板
部を打撃して、この時発生する音やハンマーの跳ね返り
によりボルトの軸力の有無を判断する方法がある。即
ち、ハンマーで打撃した際の発生音が高音で澄んだ音の
場合には、ボルトに軸力を有し、一方、発生音が低音で
濁った音の場合には、ボルトが緩んでいると判断する。
この手法によると、比較的短時間で数多くのボルトの軸
力の有無を検査できるが、発生音やハンマーの跳ね返り
を検査員が経験によって判断するため個人差が生じ易
く、また、ボルトの軸力の値がいくらかが不詳である。
Further, as a conventional technique for checking the presence or absence of the axial force of a bolt with good work efficiency, a bolt or a steel plate is hit with a hammer or the like to check the presence or absence of the axial force of the bolt of the bolted body. There is a method of judging the presence or absence of the axial force of the bolt based on the generated sound or the rebound of the hammer. In other words, if the sound produced by hitting with a hammer is treble and clear, the bolt has an axial force, whereas if the sound produced is low and muddy, the bolt is loose. to decide.
According to this method, the presence or absence of the axial force of many bolts can be inspected in a relatively short time. However, since the inspector judges the generated sound and the rebound of the hammer based on experience, individual differences are likely to occur, and the axial force of the bolts It is unknown what the value of is.

【0006】[0006]

【発明が解決しようとする課題】本発明は、既に締結さ
れているボルト締結体において、ボルトの軸力の値を検
査するために、検査時間の短縮による効率的、かつ、検
査員の個人差やノウハウなどに影響されない方法および
装置を提供しようとするものである。
SUMMARY OF THE INVENTION The present invention is directed to a method for inspecting the value of an axial force of a bolt in a bolted body which has been already fastened, by reducing the inspection time and efficiently and individually. It is an object of the present invention to provide a method and an apparatus which are not affected by the method and the know-how.

【0007】[0007]

【課題を解決するための手段】上記課題を解決するため
に、本発明の請求項1では、締結状態にあるボルトまた
はナットに打撃を与え、そのとき発生する音または振動
を周波数分析し、分析結果から把握するボルトの固有振
動数に対応づけてボルトの軸力を知るボルトの軸力測定
方法としている。これは、ボルトの固有振動数がボルト
の軸力の大きさによって変るという特性を利用して、ボ
ルトの軸力を求める方法である。
According to a first aspect of the present invention, a bolt or a nut in a fastened state is hit, and sound or vibration generated at that time is subjected to frequency analysis. The method of measuring the axial force of the bolt is to determine the axial force of the bolt by associating it with the natural frequency of the bolt as understood from the results. This is a method in which the axial force of the bolt is determined by utilizing the characteristic that the natural frequency of the bolt changes according to the magnitude of the axial force of the bolt.

【0008】本発明の請求項2では、ボルトの固有振動
数と当該ボルトの軸力との対応付けは、ボルトの縦弾性
係数をE、比重量をγ、直径をd、被締め付け体の厚さ
をLとし、a、bを軸力の作用する両端固定梁の振
動理論より得られる一次の振動モードの定数とすると
き、ボルトの固有振動数f が、f={(a+b×
N/E/d×L2)×(E×d/L/γ/
)}0.5により表されることに基づいて行うボル
トの軸力測定方法としている。すなわち、予め同種のボ
ルトについて軸力と固有振動数の関係を理論的に求めて
おくことにより、ボルトの固有振動数を知ってその軸力
を容易に知ることができる。
In the second aspect of the present invention, the correspondence between the natural frequency of the bolt and the axial force of the bolt is such that the longitudinal elastic modulus of the bolt is E, the specific weight is γ, the diameter is d, and the thickness of the tightened body is Let L be the length, and let a i and b i be the constants of the first-order vibration mode obtained from the vibration theory of the fixed beam at both ends where the axial force acts, and the natural frequency f 1 of the bolt is f = f (a i + b i ×
N / E / d 4 × L 2 ) × (E × d 4 / L 4 / γ /
d 2 )} A method of measuring the axial force of a bolt based on the expression represented by 0.5 . That is, by previously calculating the relationship between the axial force and the natural frequency for the same kind of bolt in advance, the natural frequency of the bolt can be known and the axial force can be easily known.

【0009】本発明の請求項3では、ボルトの固有振動
数と当該ボルトの軸力との対応づけは、同種の締結状態
にあるボルトの内一本のボルトに付いて、異なる複数の
締め付け軸力を順次与え各軸力で打撃を与え、発生する
音又は振動を周波数分析することにより、ボルトの軸力
と固有振動数との関係を知ることに基づいて行うボルト
の軸力測定方法としている。予め同種のボルトについて
軸力と固有振動数の関係を実験的に求めておくことによ
り、ボルトの固有振動数を知ってその軸力をより正確に
知ることができる。
According to a third aspect of the present invention, the correspondence between the natural frequency of the bolt and the axial force of the bolt is such that a plurality of different tightening shafts are provided for one of the bolts in the same fastening state. A method of measuring the axial force of the bolt based on knowing the relationship between the axial force of the bolt and the natural frequency by sequentially applying the force, applying a blow with each axial force, and analyzing the frequency of the generated sound or vibration. . By experimentally obtaining the relationship between the axial force and the natural frequency for the same type of bolt in advance, the natural frequency of the bolt can be known to more accurately know the axial force.

【0010】本発明の請求項4では、ボルトまたはナッ
トに対する打撃による音または振動を採取する手段と、
採取した音または振動を計測して固有振動数を特定する
周波数分析手段と、ボルトの固有振動数と軸力の関係を
記憶して周波数分析による固有振動数からボルトの軸力
を算出し表示する演算手段とを有するボルトの軸力測定
装置としている。この装置により、前記請求項1〜3の
ボルトの軸力測定方法を具現化することができる。
[0010] According to a fourth aspect of the present invention, there is provided a means for collecting sound or vibration caused by hitting a bolt or a nut;
Frequency analysis means for measuring the collected sound or vibration to specify the natural frequency, storing the relationship between the natural frequency of the bolt and the axial force, calculating and displaying the axial force of the bolt from the natural frequency by the frequency analysis. It is a bolt axial force measuring device having arithmetic means. With this apparatus, the method for measuring the axial force of a bolt according to the first to third aspects can be realized.

【0011】[0011]

【発明の実施の形態】以下、本発明の実施形態について
図面に基づいて説明するが、本発明はこれら実施形態に
何ら限定されるものではなく適宜変更して実施が可能で
ある。図1は、本発明による実施形態の一例を示したも
のである。同図において、被締付体1および被締付体2
は、ボルト3およびナット4により締結されている。ハ
ンマー5によって、前記ボルト3またはナット4を打撃
し、その時に発生する打撃音を採取手段であるマイクロ
フォン6によって採取し、該打撃音の音圧について周波
数分析器7により周波数分析を行う。図4は周波数分析
結果の一例を示したものである。同図において、縦軸は
音圧または加速度を表し、横軸は周波数fを表してい
る。図4から音圧の強度が鋭い大きなピークを有する振
動数をボルトの固有振動数f1として求めることができ
る。
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Hereinafter, embodiments of the present invention will be described with reference to the drawings. However, the present invention is not limited to these embodiments and can be implemented with appropriate modifications. FIG. 1 shows an example of an embodiment according to the present invention. In the figure, a tightened body 1 and a tightened body 2
Are fastened by bolts 3 and nuts 4. The bolt 3 or the nut 4 is hit by the hammer 5, and the hitting sound generated at that time is picked up by the microphone 6 as a sampling means, and the sound pressure of the hitting sound is analyzed by the frequency analyzer 7. FIG. 4 shows an example of a frequency analysis result. In the figure, the vertical axis represents sound pressure or acceleration, and the horizontal axis represents frequency f. From FIG. 4, a frequency having a large sharp peak in sound pressure intensity can be obtained as the natural frequency f 1 of the bolt.

【0012】コンピュータ8には、前記ボルトの軸力N
と固有振動数fの関係が記憶されている。ボルトの軸力
Nと固有振動数fの関係は、ボルトの縦弾性係数をE、
比重量をγ、直径をd、被締め付け体の厚さをLとする
と、ボルトの固有振動数fは、ネジ部を丸棒、端部を固
定と仮定し、軸力を受ける両端固定梁の振動理論を適用
して次の(1)式で表される。 f={(a+b×N/E/d×L2)× (E×d/L/γ/d)}0.5 (1) ここで、a、bは一次の振動モードの定数である。
(1)式より、ボルトの寸法、材質、被締結体の寸法が
判っていれば、図3に示すように、ボルトの軸力Nと固
有振動数fの関係が示される。図3の横軸はボルトの軸
力Nを表し,縦軸はボルトの固有振動数fを表してお
り、ボルトの固有振動数fはボルトの軸力Nが零の時の
固有振動数fから、ボルトの軸力の増加と共に漸増す
る。
The computer 8 has an axial force N of the bolt.
And the natural frequency f are stored. The relationship between the axial force N of the bolt and the natural frequency f is represented by E,
Assuming that the specific weight is γ, the diameter is d, and the thickness of the tightened body is L, the natural frequency f of the bolt is as follows. It is expressed by the following equation (1) by applying the vibration theory. f = {(a i + b i × N / E / d 4 × L 2) × (E × d 4 / L 4 / γ / d 2)} 0.5 (1) where, a i, b i is It is a constant of the first-order vibration mode.
If the dimensions, material, and dimensions of the object to be fastened are known from the equation (1), the relationship between the axial force N of the bolt and the natural frequency f is shown as shown in FIG. The horizontal axis in FIG. 3 represents the axial force N of the bolt, and the vertical axis represents the natural frequency f of the bolt. The natural frequency f of the bolt is the natural frequency f 0 when the axial force N of the bolt is zero. And gradually increases as the axial force of the bolt increases.

【0013】固有振動数fとボルトの軸力Nの関係と、
前記打撃音の周波数分析から得た固有振動数fを比較
対応させ、ボルトの軸力N1を求めることができる。こ
のように、本発明によるボルトの軸力測定方法は、ボル
ト、ナットおよび被締結体に軸力測定のための特別の加
工を必要とせずに、また特別なセンサーを取り付けるこ
と無く、容易にかつ検査員の個人差が生じることなく軸
力を知ることができる。
The relationship between the natural frequency f and the axial force N of the bolt,
The natural frequency f 1 obtained from the frequency analysis of the impact sound is compared correspond, it is possible to determine the axial force N 1 of the bolt. As described above, the method for measuring the axial force of a bolt according to the present invention can be easily and easily performed without requiring special processing for measuring the axial force on a bolt, a nut, and an object to be fastened, and without attaching a special sensor. It is possible to know the axial force without the individual difference of the inspector.

【0014】図2は本発明による他の実施形態の一例を
示したものである。同図において、ハンマー5によっ
て、ボルト3またはナット4を打撃し、その時に発生す
るボルト3の振動を、ボルト3に磁力などで装着された
振動採取手段である加速度センサー9によって採取し、
その振動加速度を周波数分析器7によって、周波数分析
を行なっている。周波数分析結果から得られた固有振動
数fとコンピュータ8に記憶されたボルトの固有振動
数fと軸力Nの関係から、対応する該ボルトの軸力N
を求めて表示することができる。
FIG. 2 shows an example of another embodiment according to the present invention. In the same figure, the bolt 3 or the nut 4 is hit by the hammer 5 and the vibration of the bolt 3 generated at that time is collected by the acceleration sensor 9 which is a vibration collecting means mounted on the bolt 3 by magnetic force or the like.
The vibration acceleration is subjected to frequency analysis by the frequency analyzer 7. From the relationship between the natural frequency f and the axial force N of the bolt which is stored in the natural frequency f 1 and the computer 8 obtained from the frequency analysis result, the axial force of the corresponding said bolts N 1
Can be displayed.

【0015】本実施形態では、打撃による振動を、直接
ボルトに装着された加速度センサ9で採取するので、被
締結体の振動などのノイズが小さくなり、より明確にボ
ルトの固有振動数を知ることができる。この方法におい
ても、ボルト、ナットおよび被締結体に軸力測定のため
の特別の加工を必要とせずに、また加速度センサーの磁
力などの簡単な取り付けにより、容易に軸力を知ること
ができる。
In this embodiment, the vibration caused by the impact is sampled directly by the acceleration sensor 9 mounted on the bolt, so that the noise such as the vibration of the body to be fastened is reduced, and the natural frequency of the bolt can be more clearly known. Can be. Also in this method, the axial force can be easily known without requiring special processing for measuring the axial force on the bolt, nut, and the object to be fastened, and by simple mounting such as the magnetic force of the acceleration sensor.

【0016】なお、前記実施形態ではボルトの固有振動
数fとボルトの軸力Nの関係を両端固定梁の振動理論か
ら求めたが、同一寸法、材質のボルトおよび締結体から
実験的に求めておくこともできる。例えば、図1中に示
すボルト締結体のボルト3を一旦緩め、ボルトに締付ト
ルクTを与える。この時、ボルトには軸力Nが作用
する。ボルトの締付トルクTとボルトの軸力Nの関係
は、ボルトのネジのピッチP、ネジ面の摩擦係数μ、ナ
ット座面の有効径d、座面の摩擦係数μが判れば次
の(2)式で与えられることは良く知られている。 N=2×T/{1.15×μ×d+d×P/π+d×μ} (2)
In the above embodiment, the relationship between the natural frequency f of the bolt and the axial force N of the bolt was obtained from the theory of vibration of the beam fixed at both ends. However, the relationship was experimentally obtained from bolts and fasteners of the same dimensions and material. You can also put it. For example, once loosen the bolt 3 of the bolt member shown in Figure 1, it gives the tightening torque T i to the bolt. At this time, the bolt axial force N i is applied. The relationship between the bolt tightening torque T and the bolt axial force N is as follows if the pitch P of the bolt screw, the friction coefficient μ of the screw surface, the effective diameter d w of the nut seat surface, and the friction coefficient μ w of the seat surface are known. (2) is well known. N = 2 × T / {1.15 × μ × d + d × P / π + d w × μ w } (2)

【0017】ハンマー5によってボルト3を打撃し、そ
の音または振動を周波数分析器7によって周波数分析を
行ない、図4に示すものと同じような周波数分析結果か
ら、ボルトの軸力Nでのボルト3の固有振動数f
求める。順次ボルトの締付トルクT、すなわち軸力Nを
変えて、固有振動数fを求めることにより、図3に示す
ボルトの固有振動数fとボルト軸力Nの関係を求めるこ
とができる。
[0017] strikes the bolt 3 by a hammer 5, the sound or vibration performs frequency analysis by the frequency analyzer 7, a bolt from similar frequency analysis result as shown in FIG. 4, the axial force N i of the bolt 3 of determining the natural frequency f i. The relationship between the natural frequency f of the bolt and the bolt axial force N shown in FIG. 3 can be obtained by sequentially changing the bolt tightening torque T, that is, the axial force N, and obtaining the natural frequency f.

【0018】前記実験を含む手順で得られたボルトの軸
力と固有振動数の関係は、軸力を受ける両端固定梁の振
動理論によるものと比較して、理論ではボルトのネジの
形状を丸棒、端部を固定との仮定をしたが、実験によれ
ばより実際的であり、軸力と固有振動数の関係がより正
確である。また、同一寸法、同材質の検査を行ないたい
ボルトが多数ある装置では、一本のボルトについてのみ
実験的に軸力と固有振動数の関係を求めれば、他のボル
トに適用することができる。
The relationship between the axial force of the bolt and the natural frequency obtained by the procedure including the above-described experiment is based on the theory that the shape of the screw of the bolt is rounded in comparison with the theory based on the vibration theory of the beam fixed at both ends receiving the axial force. Although it was assumed that the rod and the end were fixed, it is more practical according to experiments, and the relationship between the axial force and the natural frequency is more accurate. Further, in an apparatus having a large number of bolts to be inspected for the same dimensions and the same material, if the relationship between the axial force and the natural frequency is experimentally determined for only one bolt, it can be applied to other bolts.

【0019】[0019]

【発明の効果】以上説明したように、請求項1から請求
項3に示したボルトの軸力測定方法によれば、ボルト締
付部のボルトまたはナットへの打撃による音または振動
からボルトの軸力Nを知ることができため、ボルト、ナ
ットおよび被締結体に軸力測定のための特別の加工を必
要とせずに、検査員の経験などの個人差が生じることな
く軸力を知ることができる。
As described above, according to the method for measuring the axial force of a bolt according to any one of the first to third aspects, the noise or vibration of the bolt tightening portion on the bolt or the nut can reduce the shaft of the bolt. Since it is possible to know the force N, it is possible to know the axial force without any individual differences such as the experience of the inspector without requiring special processing for measuring the axial force on the bolt, nut and workpiece. it can.

【0020】また、本発明によれば、軸力と固有振動数
の関係を振動理論から求める場合には、ボルトをゆるめ
ることなくボルトの軸力を求めることができ、軸力と固
有振動数の関係を実験的に求める場合でも、同一寸法、
同材質のボルト締結部が数多くある場合でも、その内の
一本についてのみ締め付けを変えて測定すれば良く、作
業効率を比較的に向上させることができる。
According to the present invention, when the relationship between the axial force and the natural frequency is obtained from the vibration theory, the axial force of the bolt can be obtained without loosening the bolt, and the relationship between the axial force and the natural frequency can be obtained. Even if the relationship is determined experimentally, the same dimensions,
Even when there are many bolted portions of the same material, it is only necessary to change the tightening of one of the bolted portions, and the measurement can be performed, so that the working efficiency can be relatively improved.

【図面の簡単な説明】[Brief description of the drawings]

【図1】本発明の実施形態の一例を示すボルトの軸力測
定装置の構成図である。
FIG. 1 is a configuration diagram of a bolt axial force measuring device showing an example of an embodiment of the present invention.

【図2】本発明の他の実施形態の一例を示すボルトの軸
力測定装置の構成図である。
FIG. 2 is a configuration diagram of a bolt axial force measuring device showing an example of another embodiment of the present invention.

【図3】本発明によるボルトの固有振動数fとボルトの
軸力Nの関係を示す図である。
FIG. 3 is a diagram showing the relationship between the natural frequency f of the bolt and the axial force N of the bolt according to the present invention.

【図4】本発明による周波数分析結果の一例を示す図で
ある。
FIG. 4 is a diagram showing an example of a frequency analysis result according to the present invention.

【符号の説明】[Explanation of symbols]

1 被締付体1 2 被締付体2 3 ボルト 4 ナット 5 ハンマー 6 マイクロホーン 7 周波数分析器 8 コンピュータ 9 加速度センサー DESCRIPTION OF SYMBOLS 1 Fastened body 1 2 Fastened body 2 3 Bolt 4 Nut 5 Hammer 6 Micro horn 7 Frequency analyzer 8 Computer 9 Acceleration sensor

Claims (4)

【特許請求の範囲】[Claims] 【請求項1】 締結状態にあるボルトまたはナットに打
撃を与え、そのとき発生する音または振動を周波数分析
し、分析結果から把握するボルトの固有振動数に対応づ
けてボルトの軸力を知ることを特徴とするボルトの軸力
測定方法。
The present invention relates to a method in which a bolt or a nut in a fastened state is hit, a sound or a vibration generated at that time is frequency-analyzed, and an axial force of the bolt is known in association with a natural frequency of the bolt obtained from the analysis result. A method for measuring the axial force of a bolt, characterized in that:
【請求項2】 ボルトの固有振動数と当該ボルトの軸力
との対応付けは、ボルトの縦弾性係数をE、比重量を
γ、直径をd、被締め付け体の厚さをLとし、a、b
を軸力の作用する両端固定梁の振動理論より得られる
一次の振動モードの定数とするとき、ボルトの固有振動
数f が、 f={(a+b×N/E/d×L2)×(E×d
/L/γ/d)}0.5 により表されることに基づいて行うことを特徴とする請
求項1記載のボルトの軸力測定方法。
2. The correspondence between the natural frequency of the bolt and the axial force of the bolt is as follows: E is the longitudinal elastic modulus of the bolt, γ is the specific weight, d is the diameter, L is the thickness of the body to be tightened, and a i , b
When i is a constant of the first-order vibration mode obtained from the vibration theory of the fixed beam at both ends on which the axial force acts, the natural frequency f of the bolt is f = {(a i + b i × N / E / d 4 × L 2 ) × (E × d
4 / L 4 / γ / d 2)} axial force measuring method according to claim 1, wherein the bolt, which comprises carrying out on the basis that is represented by 0.5.
【請求項3】 ボルトの固有振動数と当該ボルトの軸力
との対応付けは、同種の締結状態にあるボルトの内一本
のボルトに付いて、異なる複数の締め付け軸力を順次与
え各軸力で打撃を与え、発生する音又は振動を周波数分
析することにより、ボルトの軸力と固有振動数との関係
を知ることに基づいて行うことを特徴とする請求項1記
載のボルトの軸力測定方法。
3. A method of associating a natural frequency of a bolt with an axial force of the bolt by sequentially applying a plurality of different tightening axial forces to one of the bolts in the same fastening state. The axial force of the bolt according to claim 1, wherein the impact is given by applying a force, and the frequency of the generated sound or vibration is analyzed to determine the relationship between the axial force of the bolt and the natural frequency. Measuring method.
【請求項4】 ボルトまたはナットに対する打撃による
音または振動を採取する手段と、採取した音または振動
を計測して固有振動数を特定する周波数分析手段と、ボ
ルトの固有振動数と軸力の関係を記憶して周波数分析に
よる固有振動数からボルトの軸力を算出し表示する演算
手段とを有することを特徴とするボルトの軸力測定装
置。
4. A means for collecting sound or vibration due to a hit against a bolt or a nut, a frequency analyzing means for measuring the collected sound or vibration to specify a natural frequency, and a relation between a natural frequency and an axial force of the bolt. Calculating means for calculating the axial force of the bolt from the natural frequency by frequency analysis and displaying the calculated axial force.
JP2001147776A 2001-05-17 2001-05-17 Method and instrument for measuring axial force of bolt Pending JP2002340710A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP2001147776A JP2002340710A (en) 2001-05-17 2001-05-17 Method and instrument for measuring axial force of bolt

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP2001147776A JP2002340710A (en) 2001-05-17 2001-05-17 Method and instrument for measuring axial force of bolt

Publications (1)

Publication Number Publication Date
JP2002340710A true JP2002340710A (en) 2002-11-27

Family

ID=18993201

Family Applications (1)

Application Number Title Priority Date Filing Date
JP2001147776A Pending JP2002340710A (en) 2001-05-17 2001-05-17 Method and instrument for measuring axial force of bolt

Country Status (1)

Country Link
JP (1) JP2002340710A (en)

Cited By (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2004011893A1 (en) * 2002-07-25 2004-02-05 Takanori Nakamura Device and method for measuring axial force of bolt
JP2008145356A (en) * 2006-12-13 2008-06-26 Sato Kogyo Co Ltd Method for measuring tension of embedded rod member
WO2011015332A3 (en) * 2009-08-03 2011-03-31 Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. Method for determining the clamping force on a mechanical joint connection connecting at least two components
JP2012227435A (en) * 2011-04-21 2012-11-15 Railway Technical Research Institute Diagnostic method for carriage frame fitting state of superconducting magnet device and carriage assembly thereof
CN104111137A (en) * 2014-08-11 2014-10-22 石家庄铁道大学 Anchor rod bearing capacity prediction method based on cubic polynomial model
JP2015025297A (en) * 2013-07-26 2015-02-05 ライト工業株式会社 Tensioning force estimation method of existing anchor and ground soundness evaluation method
JPWO2014167905A1 (en) * 2013-04-12 2017-02-16 株式会社Ihi Impeller fastening inspection method, impeller fastening method, impeller fastening inspection device, and impeller fastening device
JP2017227583A (en) * 2016-06-24 2017-12-28 公益財団法人鉄道総合技術研究所 Track information collection device and rail axial force measurement device
JP2020148504A (en) * 2019-03-11 2020-09-17 小西 拓洋 Looseness detection system of axial force member and looseness detection method of axial force member
EP3788339B1 (en) * 2018-04-30 2023-11-29 University of Houston System Monitoring bolt tightness using percussion and machine learning

Cited By (15)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2004011893A1 (en) * 2002-07-25 2004-02-05 Takanori Nakamura Device and method for measuring axial force of bolt
JPWO2004011893A1 (en) * 2002-07-25 2005-11-24 敬徳 中村 Bolt axial force measuring instrument and method
US7152475B2 (en) * 2002-07-25 2006-12-26 Takanori Nakamura Device and method for measuring axial force of bolt
JP4916111B2 (en) * 2002-07-25 2012-04-11 敬徳 中村 Bolt axial force measuring instrument and method
JP2008145356A (en) * 2006-12-13 2008-06-26 Sato Kogyo Co Ltd Method for measuring tension of embedded rod member
WO2011015332A3 (en) * 2009-08-03 2011-03-31 Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. Method for determining the clamping force on a mechanical joint connection connecting at least two components
JP2012227435A (en) * 2011-04-21 2012-11-15 Railway Technical Research Institute Diagnostic method for carriage frame fitting state of superconducting magnet device and carriage assembly thereof
JPWO2014167905A1 (en) * 2013-04-12 2017-02-16 株式会社Ihi Impeller fastening inspection method, impeller fastening method, impeller fastening inspection device, and impeller fastening device
US9891123B2 (en) 2013-04-12 2018-02-13 Ihi Corporation Wheel fastening inspection method, wheel fastening method, wheel fastening inspection device and wheel fastening device
JP2015025297A (en) * 2013-07-26 2015-02-05 ライト工業株式会社 Tensioning force estimation method of existing anchor and ground soundness evaluation method
CN104111137A (en) * 2014-08-11 2014-10-22 石家庄铁道大学 Anchor rod bearing capacity prediction method based on cubic polynomial model
JP2017227583A (en) * 2016-06-24 2017-12-28 公益財団法人鉄道総合技術研究所 Track information collection device and rail axial force measurement device
EP3788339B1 (en) * 2018-04-30 2023-11-29 University of Houston System Monitoring bolt tightness using percussion and machine learning
JP2020148504A (en) * 2019-03-11 2020-09-17 小西 拓洋 Looseness detection system of axial force member and looseness detection method of axial force member
JP7244179B2 (en) 2019-03-11 2023-03-22 拓洋 小西 Looseness detection system for axial force member and looseness detection method for axial force member

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