Artificial wave response spectrum fitting calculation method based on multi-phase spectrum iteration

Abstract

The invention provides an artificial wave response spectrum fitting calculation method based on multi-phase spectrum iteration, and aims at solving the problems existing in artificial seismic waves ofa traditional frequency domain method fitting envelope design response spectrum, when Fourier amplitude spectrum iteration is carried out, R * 10 groups of random phase spectrums are generated and R* 10 artificial waves are generated in the R-th iteration, and the R * 10 groups of random phase spectrums are calculated. Iteration is carried out by using an error between the average value of the reaction spectrums corresponding to the artificial waves and the designed reaction spectrum, so that the condition that the final fitting result of the random phase spectrum cannot be converged is avoided. In the process of designing the reaction spectrum through frequency domain method fitting, a multi-phase spectrum matrix is mainly used, a single and invariant phase spectrum is not used any more, a complex Fourier phase spectrum is used for each iteration, and the influence of the random phase spectrum of the artificial wave on the convergence precision of a final fitting result is also reduced.

Description

technical field [0001] The invention relates to the technical field of artificial seismic wave synthesis, in particular to a multiphase spectrum iteration artificial wave response spectrum fitting calculation method. Background technique [0002] Fitting the artificial seismic wave according to the design response spectrum is an important method to determine the input seismic wave in the dynamic analysis of structural seismic design at home and abroad. The traditional frequency-domain method to fit the design response spectrum has been widely used in the field of structural earthquake resistance (Chen Yongqi, Liu Xihui, Gong Sili. Artificial seismic waves fitting the standard response spectrum[J]. Journal of Building Structures, 1981(04): 34 -43.), the process requires a random Fourier phase spectrum, and the value of the random Fourier phase spectrum will greatly affect the final result. [0003] However, the influence of the phase spectrum on the final generated artificia...

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Problems solved by technology

[0004] The present invention provides a multi-phase spectrum iterative artificial wave response spectrum fitting calculation method. Aiming at the problems existing in the artificial seismic wave of the envelope design response spectrum fitted by the traditional frequency domain method, when the Fourier amplitude spectrum is iterated, The Rth iteration generates R×10 groups of random phase spectra and generates R×10 artificial waves, and iterates with the error between the average value of the response spectrum corresponding to the artificial waves and the design response spectrum to avoid the final random phase spectrum. The case where the fitting result fails to converge

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