Time-frequency analysis of nonlinear structure excitation input directly solved with absolute displacement under non-stationary excitation

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (9) : 168-176.

LI Ximei1,2, TAO Cheng1,2, WANG Jiancheng3

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Abstract

The time-frequency evolution characteristics of ground motion energy under strong earthquakes have a great impact on hysteretic nonlinear structures. However, the existing calculation modules of general finite element software cannot input the decoupled EPSD matrix for nonlinear structures when performing frequency domain analysis, which thus limits the simulation of large complex structures by random vibration theory. The pseudo excitation method of absolute displacement direct solution was introduced into the multi-dimensional and multi-point nonlinear dynamic equation, and the non-stationary ground motion EPSD matrix was decoupled and dimension-reduced through the APDL external program call interface, and transformed into a four-dimensional uniformly modulated excitation matrix which is independent of the variable of time. The matrix can achieve accurate and efficient calculation and solution of non-stationary excitation dynamic input and random dynamic response of nonlinear structures. Finally, taking a half-through three-span CFST tied arch bridge as an example, the time-varying power spectrum and variance of the system responses of arch rib, arch foot and bridge deck were calculated. The results show that the excitation input method of absolute displacement direct solution can simulate the time-delay phenomenon caused by nonlinear structural system very well, which can provide a feasible basis for the solution and analysis of multi-dimensional and multi-point non-stationary excitation random response of nonlinear structure by the general finite element software.

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Large-span bridge / pseudo excitation method / non-stationary excitation / absolute displacement / multi-dimensional and multi-support

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LI Ximei1,2, TAO Cheng1,2, WANG Jiancheng3. Time-frequency analysis of nonlinear structure excitation input directly solved with absolute displacement under non-stationary excitation[J]. Journal of Vibration and Shock, 2023, 42(9): 168-176

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