CN111553066A - Method for accurately calculating critical transverse load of threaded connection - Google Patents
Method for accurately calculating critical transverse load of threaded connection Download PDFInfo
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- CN111553066A CN111553066A CN202010319928.1A CN202010319928A CN111553066A CN 111553066 A CN111553066 A CN 111553066A CN 202010319928 A CN202010319928 A CN 202010319928A CN 111553066 A CN111553066 A CN 111553066A
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Abstract
The invention belongs to the technical field of performance evaluation of bolt connection structures, and provides a method for accurately calculating critical transverse load of threaded connection. The method for accurately calculating the critical transverse load can obtain a critical transverse load numerical value with higher accuracy through lower calculation cost, and quantitatively evaluate the anti-loosening performance of the bolt connection structure.
Description
Technical Field
The invention belongs to the technical field of performance evaluation of bolt connection structures, and particularly relates to a method for accurately calculating critical transverse load of threaded connection.
Background
The complex equipment is often formed by assembling a large number of parts, and the bolt connection structure is compact, simple to assemble and easy to disassemble, so that the complex equipment is the most widely applied assembly mode. After the initial assembly stage is finished, the bolt is subjected to three torque components of end face torque, thread torque and thread pitch torque, wherein the thread pitch torque can cause the bolt to rotate towards the loosening direction, so that the bolt is loosened, pretightening force loss is caused, failure is caused finally, and the end face torque and the thread torque can resist the rotation loosening tendency caused by the thread pitch torque.
Under the ideal condition, the sum of the end face torque and the thread torque is equal to the thread pitch torque, the three torques are kept balanced, and the bolt is kept stable. When the bolt bears severe load, the end face torque and the thread torque can change, if the sum of the end face torque and the thread torque is reduced to be insufficient to resist the thread pitch torque, the bolt can generate rotary acceleration, the rotary acceleration is further accumulated to be rotary angular velocity and rotary angle, and the bolt loosening problem happens immediately.
Lateral loads, the form of loads most likely to cause loosening of the bolted connection. The critical transverse load refers to the maximum transverse load that can be borne by a bolt without loosening under a certain initial pre-tightening force for a certain bolt connection system. The critical transverse load is an important index for evaluating the anti-loosening performance of the bolt connection structure. However, at present, a bolt connection structure anti-loosening performance evaluation model based on critical transverse load accurate calculation does not appear.
Disclosure of Invention
The invention provides a quantitative evaluation model for anti-loosening performance of a bolt connection structure based on accurate calculation of critical transverse load. The evaluation model evaluates the anti-loosening performance of different bolt connection structures by accurately calculating the critical transverse load numerical value, and meanwhile, provides reference for the anti-loosening design of bolt connection.
The technical scheme of the invention is as follows:
a method for accurately calculating critical transverse load of threaded connection comprises the steps of calculating numerical values of end face torque, thread torque and thread pitch torque of a bolt, establishing a relation between the load of the bolt and the rotation angular acceleration of the bolt, calculating the change condition of the critical transverse load in a thick interval, obtaining the accurate numerical value of the critical transverse load through function fitting, evaluating the anti-loosening performance of a bolt connection structure, and providing reference for anti-loosening design of bolt connection;
the method comprises the following steps:
step a), setting a transverse load thick section, and dispersing the section;
step b) calculating the numerical values of the transverse load and the angular acceleration on each discrete point;
step c) fitting the discrete points through an exponential function to obtain a transverse load-angular acceleration function;
step d) obtaining a derivative function of the function obtained by fitting;
step e) calculating an inverse function of the derivative function;
step f) obtaining a target slope omega' through a group of critical transverse load accurate valueseThe value of (d);
step g) reacting ω ″)eAs a constant, the critical transverse load is calculated.
The invention has the beneficial effects that: the method for accurately calculating the critical transverse load can obtain a critical transverse load numerical value with higher accuracy through lower calculation cost, and quantitatively evaluate the anti-loosening performance of the bolt connection structure.
Drawings
Fig. 1 shows typical calculation results of lateral load-angular acceleration in the gross section.
Detailed Description
The following further describes a specific embodiment of the present invention with reference to the drawings and technical solutions.
A method for accurately calculating critical transverse load of threaded connection comprises the following steps:
step a) setting a transverse loadInterval with large load, interval left end point FminRepresents the minimum possible value of the critical transverse load, and the right end point represents the maximum possible value F of the critical transverse loadmax(ii) a Setting the number n of coarse interval segments, dispersing the interval, each segment having the length of
Step b) calculating an angular acceleration value corresponding to the transverse load on the left end point of each small section in the coarse section, and recording the transverse load and the angular acceleration values on all the subsection sections, wherein a typical result is shown in figure 1 and is used as a sample point for subsequent fitting;
step c) fitting the result obtained by calculation in the step b) by using an exponential function to obtain the numerical values of the parameters a and b in the exponential function, and in order to improve the fitting precision, fitting is only carried out at the stage that the angular acceleration rises from zero, and the stage that the angular acceleration rises to a stable state is not concerned;
fe(x)＝a·ebx
step d) carrying out derivation on the transverse load-angular acceleration function obtained by fitting to obtain a derivative function of the angular acceleration relative to the transverse load;
step e) calculating an inverse function of the derivative function, wherein the independent variable of the inverse function is the derivative of the rotation angular acceleration, and the dependent variable is the transverse load;
step f) the necessity of ω ″, depending on the definition of the critical transverse load, existseSo that Fbcr＝T(ω″e),ω″eTo determine FbcrNumerical value of ω' -FbsTarget slope on the curve, found by study, ωe"is not easily affected by the variation of the initial pre-tightening force, and has good stability, omegaeThe value may be determined by a set of accurately calculated critical lateral load values.
Step g) determining the target slope ω ″eAnd (4) carrying the data into an inverse function to obtain a critical transverse load value, and quantitatively evaluating the anti-loosening performance of the connecting structure.
Claims (1)
1. A method for accurately calculating critical transverse load of threaded connection is characterized by comprising the following steps:
step a) setting a large transverse load section with a left end point FminRepresents the minimum possible value of the critical transverse load, and the right end point represents the maximum possible value F of the critical transverse loadmax(ii) a Setting the number n of coarse interval segments, dispersing the interval, each segment having the length of
Step b), calculating an angular acceleration value corresponding to the transverse load on the left end point of each small section in the coarse section, and recording the transverse load and the angular acceleration values on all the section sections as subsequent fitting sample points;
step c) fitting the result obtained by calculation in the step b) by using an exponential function to obtain the numerical values of the parameters a and b in the exponential function, and in order to improve the fitting precision, fitting is only carried out at the stage that the angular acceleration rises from zero, and the stage that the angular acceleration rises to a stable state is not concerned;
fe(x)＝a·ebx
step d) carrying out derivation on the transverse load-angular acceleration function obtained by fitting to obtain a derivative function of the angular acceleration relative to the transverse load;
step e) calculating an inverse function of the derivative function, wherein the independent variable of the inverse function is the derivative of the rotation angular acceleration, and the dependent variable is the transverse load;
step f) the necessity of ω ″, depending on the definition of the critical transverse load, existseSo that Fbcr＝T(ω″e),ω″eTo determine FbcrNumerical value of ω' -FbsTarget slope on the curve, ω ″)eThe value of (A) is not easily influenced by the change of the initial pretightening force, and the stability is good, omega ″)eThe value is determined by a set of accurately calculated critical transverse load values;
step g) the target slope ″)eAnd (5) carrying the data into an inverse function, namely obtaining a critical transverse load numerical value, and quantitatively evaluating the anti-loosening performance of the connecting structure.
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| Application Number | Priority Date | Filing Date | Title |
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| CN202010319928.1A CN111553066B (en) | 2020-04-22 | 2020-04-22 | Accurate calculation method for critical transverse load of threaded connection |
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| CN202010319928.1A CN111553066B (en) | 2020-04-22 | 2020-04-22 | Accurate calculation method for critical transverse load of threaded connection |
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| CN111553066A true CN111553066A (en) | 2020-08-18 |
| CN111553066B CN111553066B (en) | 2023-06-27 |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113203512A (en) * | 2021-03-16 | 2021-08-03 | 青海大学 | Method for monitoring attachment point |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109668672A (en) * | 2019-01-08 | 2019-04-23 | 中国大唐集团新能源科学技术研究院有限公司 | Ultrasonic bolt pre-tightens force measuring method |
| CN110298118A (en) * | 2019-07-02 | 2019-10-01 | 华北电力大学（保定） | A kind of critical loosening load calculation method of bolt considering threaded flex |
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2020
- 2020-04-22 CN CN202010319928.1A patent/CN111553066B/en active Active
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109668672A (en) * | 2019-01-08 | 2019-04-23 | 中国大唐集团新能源科学技术研究院有限公司 | Ultrasonic bolt pre-tightens force measuring method |
| CN110298118A (en) * | 2019-07-02 | 2019-10-01 | 华北电力大学（保定） | A kind of critical loosening load calculation method of bolt considering threaded flex |
Non-Patent Citations (2)
| Title |
|---|
| 张明远: "横向载荷作用下螺栓临界松动载荷数值 计算方法研究*", 机械工程学报, vol. 54, no. 5 * |
| 邬杰;廖日东;丁晓宇;: "螺纹连接结构横向松动寿命预测及影响因素研究", 强度与环境, no. 02 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113203512A (en) * | 2021-03-16 | 2021-08-03 | 青海大学 | Method for monitoring attachment point |
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