CN111553066B - Accurate calculation method for critical transverse load of threaded connection - Google Patents
Accurate calculation method for critical transverse load of threaded connection Download PDFInfo
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- CN111553066B CN111553066B CN202010319928.1A CN202010319928A CN111553066B CN 111553066 B CN111553066 B CN 111553066B CN 202010319928 A CN202010319928 A CN 202010319928A CN 111553066 B CN111553066 B CN 111553066B
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Abstract
The invention belongs to the technical field of performance evaluation of a bolt connection structure, and provides a method for accurately calculating critical transverse load of a threaded connection. The accurate calculation method of the critical transverse load can obtain the critical transverse load value with higher accuracy through lower calculation cost, and quantitatively evaluate the looseness resistance of the bolt connection structure.
Description
Technical Field
The invention belongs to the technical field of performance evaluation of a bolt connection structure, and particularly relates to an accurate calculation method of critical transverse load of threaded connection.
Background
The complex equipment is often assembled by a large amount of spare parts, and bolted connection compact structure, assembly are simple, easy dismantlement are the most extensive assembly methods of application. 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 lead the bolt to rotate towards the loosening direction, so that the bolt is loosened, pretightening force loss is caused, failure is finally caused, and the end face torque and the thread torque can resist the rotation loosening trend caused by the thread pitch torque.
Under ideal conditions, the sum of the end face torque and the thread torque is equal to the thread pitch torque, the three moments are balanced, and the bolt is stable. When the bolt bears a relatively severe load, the end face torque and the thread torque 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 generates rotation acceleration, the rotation acceleration is further accumulated into rotation angular speed and rotation angle, and the loosening problem of the bolt immediately occurs.
Lateral loading is the form of loading that most easily causes loosening of the bolted connection. Critical transverse load refers to the maximum transverse load that a bolt can withstand without loosening under a certain initial preload for a certain bolting system. The critical transverse load is an important index for evaluating the anti-loosening performance of the bolt connection structure. However, no bolt connection structure looseness prevention performance evaluation model based on accurate calculation of critical transverse loads exists at present.
Disclosure of Invention
The invention provides a quantitative evaluation model for locking performance of a bolt connection structure based on accurate calculation of critical transverse load. The evaluation model is used for evaluating the anti-loosening performance of different bolt connection structures by accurately calculating the critical transverse load value, and meanwhile, a reference is provided for the anti-loosening design of the bolt connection.
The technical scheme of the invention is as follows:
the accurate calculation method of the critical transverse load of the threaded connection is characterized in that the relation between the load born by the bolt and the rotary angular acceleration of the bolt is established by calculating the values of the end face torque, the thread torque and the thread pitch torque of the bolt, the change condition of the critical transverse load on a thick section is calculated, then the accurate value of the critical transverse load is obtained through function fitting, the anti-loosening performance of a bolt connection structure is evaluated, and a reference is provided for the anti-loosening design of the bolt connection;
the method comprises the following steps:
step a), setting a transverse load coarse interval and dispersing the interval;
step b) calculating the transverse load and angular acceleration values at each discrete point;
step c), fitting the discrete points through an exponential function to obtain a transverse load-angular acceleration function;
step d) deriving a function obtained by fitting to obtain a derivative function thereof;
step e) calculating an inverse function of the derivative function;
step f) obtaining a target slope omega' through a set of critical transverse load accurate values e Is a numerical value of (2);
step g) introducing ω% e As a constant, the critical lateral load is calculated.
The invention has the beneficial effects that: the accurate calculation method of the critical transverse load can obtain the critical transverse load value with higher accuracy through lower calculation cost, and quantitatively evaluate the looseness resistance of the bolt connection structure.
Drawings
Fig. 1 is a typical calculation result of the lateral load-angular acceleration over the coarse interval.
Detailed Description
The following describes the embodiments of the present invention further with reference to the drawings and technical schemes.
The accurate calculation method of the critical transverse load of the threaded connection comprises the following steps:
step a) setting a transverse load coarse section, and setting a section left end point F min Representing the minimum value that the critical transverse load may occur, the right end point representing the maximum value F that the critical transverse load may occur max The method comprises the steps of carrying out a first treatment on the surface of the Setting the number of coarse interval segments n, dispersing the intervals, wherein the length of each small interval is
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 of all the section sections, wherein typical results are shown in figure 1 and are used as sample points for subsequent fitting;
step c) fitting the result calculated 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 performed at the stage when the angular acceleration rises from zero, and the stage after the angular acceleration rises to a stable state is not concerned;
f e (x)＝a·e bx
step d) deriving a transverse load-angular acceleration function obtained by fitting to obtain a derivative function of the angular acceleration with respect to the transverse load;
step e) calculating an inverse function of the derivative function, wherein an independent variable of the inverse function is a derivative of the rotary angular acceleration, and a dependent variable is a transverse load;
step f) the definition of the critical transverse load entails the presence of ω% e So that F bcr ＝T(ω″ e ),ω″ e Representative for determining F bcr Omega' -F of numerical value bs Target slope on curve, found by study, ω e The value of the product is not easily influenced by the change of the initial pretightening force, and the product has good stability and omega e The values may be determined by a set of precisely calculated critical transverse load values.
Step g) target slope ω e And carrying out inverse function to obtain the critical transverse load value, and quantitatively evaluating the looseness resistance of the connecting structure.
Claims (1)
1. The accurate calculation method for the critical transverse load of the threaded connection is characterized by comprising the following steps of:
step a) setting a transverse load coarse section, and setting a section left end point F min Representing the imminence ofThe minimum value that the critical transverse load may occur, the right end point representing the maximum value F that the critical transverse load may occur max The method comprises the steps of carrying out a first treatment on the surface of the Setting the number of coarse interval segments n, dispersing the intervals, wherein the length of each small interval is
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 value on all the section sections as sample points for subsequent fitting;
step c) fitting the result calculated 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 performed at the stage when the angular acceleration rises from zero, and the stage after the angular acceleration rises to a stable state is not concerned;
f e (x)＝a·e bx
step d) deriving a transverse load-angular acceleration function obtained by fitting to obtain a derivative function of the angular acceleration with respect to the transverse load;
step e) calculating an inverse function of the derivative function, wherein an independent variable of the inverse function is a derivative of the rotary angular acceleration, and a dependent variable is a transverse load;
step f) the definition of the critical transverse load entails the presence of ω% e So that F bcr ＝T(ω″ e ),ω″ e Representative for determining F bcr Omega' -F of numerical value bs Target slope on curve, ω e The value of (2) is not easily influenced by the change of the initial pretightening force, the stability is good, and omega' e The values are determined by a set of precisely calculated critical transverse load values;
step g) target slope e And carrying out inverse function, namely obtaining a critical transverse load value, and quantitatively evaluating the looseness resistance of the connecting structure.
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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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| CN111553066B true CN111553066B (en) | 2023-06-27 |
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Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
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| 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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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 |
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| 横向载荷作用下螺栓临界松动载荷数值 计算方法研究*;张明远;机械工程学报;第54卷(第5期);全文 * |
| 螺纹连接结构横向松动寿命预测及影响因素研究;邬杰;廖日东;丁晓宇;;强度与环境(第02期);全文 * |
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