Simulation Method for Transient Process of Variable Mass Dynamic Vibration Absorber

Abstract

The invention provides a variable-mass power vibration absorber transient process simulation method. The method is characterized by comprising the following steps of obtaining an initial parameter at a moment t when the mass is varied according to a variable-mass power vibration absorber, calculating an initial acceleration vector of the moment t, giving an integration step delta t, beta and gamma, calculating an integration constant, calculating an equivalent rigidness matrix, calculating a valid load vector at the moment of (t + delta t), calculating a displacement vector at the moment of (t + delta t), calculating an acceleration vector and a speed vector at the moment of (t + delta t), when the mass (m2+mv(t)) of the vibration absorber is suddenly changed to (m2+mv(t+delta t), respectively correcting the displacement vector, the speed vector and the acceleration vector, and finally solving the displacement vector, the speed vector and the acceleration vector at any moment of a system. According to the simulation method, the momentum conservation law is considered in the mass variation process, so that the variable-mass process conforms to the natural rule. The simulation method is reliable in error degree; the following result is obtained through the simulation and experimental contrast: the vibration of the main system is decreased by 7 percent after the mass of the vibration absorber is reduced.

Description

technical field [0001] The invention belongs to the field of vibration simulation and relates to a variable mass dynamic vibration absorber, in particular to a transient process simulation method for a variable mass dynamic vibration absorber. Background technique [0002] In engineering applications, most vibrations are harmful. Therefore, vibration reduction technology is one of the important contents of vibration mechanics research. Dynamic vibration absorption is a commonly used vibration control method. The traditional dynamic vibration absorber (dynamic vibration absorber, DVA) consists of mass, stiffness, and damping units, and is installed on the main system. By rationally designing the parameters of the dynamic vibration absorber so that its natural frequency is equal to the frequency of the exciting force, the vibration of the main system can be significantly reduced. Due to its simple structure, stable performance and low cost, dynamic vibration absorbers have ...

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Problems solved by technology

The variable mass process of the vibration absorber is a typical nonlinear process. At present, there is no mature method for solving the analytical solution, and only the numerical analysis method can be used for simulation.

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