Method for calculating transient and stable state response of elastic system under non-stable signal effects

Abstract

The invention provides a method for calculating transient and stable state response of an elastic system under non-stable signal effects. The method includes decomposing non-stable signal into j-layer wavelet packets to obtain 2j wavelet packet components of different frequencies, fitting the wavelet packet components into simple harmonic waves through linear amplitude modulation to obtain fitted simple harmonic waves corresponding to the wavelet packet components, deriving analytic solution of structural response of the elastic system under different fitted simple harmonic wave effect, carrying out a reverse process for linear amplitude modulation of the structural response under the fitted simple harmonic waves effects and calculating transient response and stable state response of the wavelet packet components, superposing the obtained transient response and stable state response of the wavelet packet components, and calculating transient and stable state response and complete response solution of the elastic system under non-stable signal effects. The method effectively calculates transient and stable state response and complete response solution of the elastic system under non-stable signal effects, and lays foundation for further researching transient response.

Description

technical field [0001] The invention relates to the field of signal processing, and more specifically relates to a calculation method for transient and steady-state responses of an elastic system under the action of non-stationary signals. Background technique [0002] In structural analysis, the structure with relatively concentrated mass is usually simplified to a single-degree-of-freedom system for analysis, while the structure with relatively dispersed mass is simplified to a multi-degree-of-freedom system for analysis. An elastic system is a system that deforms when a load is applied, and returns to its original shape when the load is removed. When a general structure is deformed by an external force and can be restored, it can be simplified as a single-degree-of-freedom elastic system or a multi-degree-of-freedom elastic system. [0003] The response of a structure to any signal can be divided into two parts: transient response and steady-state response. Traditional ...

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Problems solved by technology

However, since the numerical method can only calculate the overall response of the structure, the calculation result obtained is a complete solution, and the transient response and the steady-state response cannot be distinguished, so the calculation method of the transient and steady-state response under the simple harmonic load can only be Vibration analysis provides a theoretical basis, but it lacks practical significance. It is difficult to implement the method to extract the transient response or steady-state response for further analysis.

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