A method for estimating hysteretic frictional energy consumption in precision mechanisms with gaps

Abstract

The invention provides an estimation method of hysteresis frictional dissipation energy of a clearance type precision mechanism. The method comprises the steps of 1, performing equivalent system modeling for a study object; 2, acquiring a mechanics equation of the whole system according to the system model, and performing mass normal transformation so as to decrease the analysis variable quantity; 3, calculating by sections, and comprehensively creating a hysteresis frictional expression of the whole contact-separation movement process of a movement pair; 4, transforming each sub-section to obtain a secondary approximate expression of hysteresis displacement and derivative expressions of hysteresis displacement relative to system displacement; 5, describing a clear frictional force hysteresis characteristics curve line to obtain the hysteresis frictional dissipation energy of the discontinuous movement pair. With the adoption of the method, the hysteresis curve line of the system under a single-side clearance condition is described, the hysteresis frictional dissipation energy in the clearance type precision mechanism can be quantitatively analyzed, and therefore, the reliability and safety of the system in working can be improved.

Description

technical field [0001] The invention relates to the field of system energy loss analysis, in particular to a method for estimating hysteretic frictional energy consumption in precision mechanisms with gaps. Background technique [0002] With the advancement of science and technology, mechanical devices are developing in the direction of high precision, high speed and light weight. There is inevitably a gap in the mechanical kinematic pair, which comes from process manufacturing errors and installation position errors, etc. And there is nonlinear hysteretic friction between kinematic pairs, which is caused by the viscous characteristic of friction. The friction of this hysteretic characteristic will cause the energy loss of the system and reduce the working efficiency and reliability of the system. As the composition of the mechanism becomes more and more complex and the requirements for system precision are higher, the small clearance in the kinematic pair cannot be ignore...

AI Technical Summary

Problems solved by technology

However, for precision systems, the impact of energy consumption caused by the hysteretic characteristics of discontinuous friction cannot be ignored, and the results calculated by simple linear friction formulas cannot meet the design requirements of precision systems.

Hysteretic friction will not only affect the accuracy and precision of the precision kinematic pair transmission, but may also make the kinematic pair tend to vibrate in an unsteady state, and even cause serious damage

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