EMD-based transient state and steady state response calculation method under action of non-steady signal

Abstract

The invention provides an EMD-based transient state and steady state response calculation method under the action of a non-steady signal. The method includes the steps that 1, the non-steady signal is decomposed into multiple IMF components with the EMD; 2, fitting simple harmonic processing is carried out on all semiwaves in each IMF component, wherein firstly, linear interpolation is carried out on the current IMF component, all the semiwaves in the current IMF component obtained after interpolation are fitted into simple harmonic waves in sequence, and every time each semiwave is fitted, the semiwave acts in the system and then the transient state response and steady state response of the semiwave are calculated; secondly, the obtained transient state responses and steady state responses of all the semiwaves in the current IMF component are stored in an array; thirdly, the next IMF component is processed, and the first step is executed again till the transient state responses and steady state responses of the semiwaves in all the IMF components are calculated and stored in arrays in sequence; 3, the arrays corresponding to the IMF components are superposed. According to the method, the calculation time is short, and the result is reliable.

Description

technical field [0001] The invention relates to the technical field of signal processing, in particular to an EMD-based calculation method for transient and steady-state responses under the action of non-stationary signals. Background technique [0002] Aiming at the technical problem that the system cannot distinguish the transient response from the steady-state response under the action of non-stationary signals such as earthquakes, a numerical analysis method combining numerical calculation and theoretical derivation is proposed to extract the transient response from the total response of the system more accurately and efficiently. State and steady-state components, laying the foundation for further analysis of the impact of each component on the system. In the process, it can break through the research bottleneck that it is difficult to obtain engineering vibration laws by directly analyzing nonlinear and non-stationary signals. [0003] The response of the system under...

AI Technical Summary

Problems solved by technology

[0006] The technical problem to be solved by the present invention is to provide an EMD-based calculation method for transient and steady-state responses under the action of non-stationary signals. EMD decomposition technology is used to decompose the non-stationary signals and fit them into simple harmonic signals. Under the action of a stationary signal, the system distinguishes the transient response and the steady-state response; at the same time, it overcomes the shortcomings of the above-mentioned wavelet packet decomposition technology, such as large wavelet packet components, slow calculation speed, and weak calculation accuracy.

Images