High-efficiency calculating method used for static and dynamic analysis of flexible mechanism

Abstract

The invention discloses a high-efficiency calculating method used for static and dynamic analysis of a flexible mechanism. The high-efficiency calculating method comprises following steps of dispersing the flexible mechanism in a way of taking flexible hinges, flexible beams and connecting blocks as basic units; establishing finite element stiffness matrixes of the flexible hinge units and the flexible beam units; establishing a global stiffness matrix of the flexible mechanism; establishing finite element mass matrixes of the flexible hinge units, the flexible beam units and the connecting block units, and assembling the finite element mass matrixes to form a global mass matrix of the flexible mechanism; applying boundary conditions and loads, establishing a dynamic finite element equilibrium equation, and solving the equation to obtain static parameters and dynamic parameters of the flexible mechanism. According to the invention, on the basis that the computational accuracy is guaranteed, more abundant vibration modal information is revealed, the computational efficiency is improved, the computational amount is reduced, and a high-efficiency mechanical model can be provided for performance analysis, optimization design and real-time closed-loop control analysis of the flexible mechanism and a more complex machinery system comprising the flexible mechanism.

Description

technical field [0001] The invention relates to a high-efficiency calculation method for statics and dynamics analysis of a flexible mechanism, belonging to the technical field of precision machinery. Background technique [0002] At present, combined with the advantages of large output, high resolution, and high natural frequency of piezoelectric ceramics and the functions of high precision and displacement amplification of flexible mechanisms, flexible mechanisms driven by piezoelectric ceramics are increasingly used in atomic force microscopes and optical components. The precise positioning of the aircraft, the wing shape control of the spacecraft, the research and development of precision valves and precision pumps, and so on. The working principle of the flexible mechanism is to realize the transmission, amplification and output of the input displacement through the elastic deformation of the mechanism itself. Generally, the flexible mechanism is manufactured by wire cu...

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Problems solved by technology

[0004] At present, there are mainly two kinds of statics and dynamics analysis methods for flexible mechanisms: one is for typical simple flexible mechanisms, mainly based on elastic mechanics theory and material mechanics methods to establish analytical statics and dynamics models of flexible mechanisms for analysis and design, however, the analytical modeling analysis method cannot satisfy various complex flexible mechanisms in engineering, and the established dynamic model is difficult to describe the multi-vibration modal information of the flexible mechanism and its system. These multi-order vibration modal information is An important basis for structural performance analysis and control in engineering design; the second method is for a large number of complex flexible mechanisms in engineering. The current common analysis method is to use commercial software such as ANSYS for finite element calculations, but mature commercial software or self-programming For finite element modeling and calculation, in order to obtain accurate calculation results, the finite element model requires a large scale, a large amount of calculation, a long calculation time, and more importantly, it is difficult to perform real-time closed-loop control analysis based on the existing finite element method

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