Method and device for calculating node displacement of collision vibration model

Abstract

The invention provides a method and device for calculating nodal displacement of a collision vibration model, and the method comprises the steps of obtaining a finite element equation of the collision vibration model, and obtaining a simulation differential equation according to the finite element equation and a preset physical displacement calculation equation; performing simulation according to a preset simulation step length, modal displacement, a modal velocity initial value and a simulation differential equation; when the state of the collision vibration model is transformed every time, solving the simulation differential equation according to geometric conditions and vibration mode orthogonality to obtain a modal velocity initial value after each time of transformation, and setting the modal displacement initial value after each time of transformation to be zero so as to form a simulation condition after each time of transformation; according to the physical displacement calculation equation and the finite element equation after each time of transformation, obtaining a simulation differential equation after each time of transformation through vibration mode orthogonality calculation; and according to the simulation differential equation after each time of transformation and the corresponding simulation condition after each time of transformation, simulating the collision vibration model, and obtaining a total physical displacement vector of each node at each simulation step length.

Description

technical field [0001] The present application relates to the technical field of continuum impact vibration, in particular, to a method and device for calculating node displacement of an impact vibration model. Background technique [0002] At present, there are three types of methods for studying the impact vibration of continuum: force integral method, method based on vibration mode conversion, and restitution method. For objects with regular shapes, such as regular beams and plates, when using these three methods to deal with Based on modal analysis, good results can be obtained by either numerical or analytical solutions; however, if the studied object has a complex shape and structure, such as irregular beams, beams with additional mass, etc., when solving such continuum impact vibration, It will be faced with the problem of solving complex structural vibration equations, and it is difficult to obtain an accurate analytical equation. [0003] The finite element method ...

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Problems solved by technology

[0005] The purpose of the embodiment of the present application is to provide a method and device for calculating the node displacement of the impact vibration model, to solve the problem that it is difficult to find the analytical mode shape expression in the face of an irregular model, and at the same time, when the boundary conditions cannot be simple In the case of transforming into force, this application is expected to solve such problems, but the existing force integration method cannot solve it

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