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| Analytical solution to non-uniform and completely non-stationary seismic response of viscoelastic isolation system |
| LI Chuangdi1, CHANG Mingjing1, BAI Dalian2, WANG Bowen1 |
1. Department of Civil Engineering, Guangxi University of Science and Technology, Liuzhou 545006, China；
2. College of Civil Engineering and Architecture， Guangxi University，Nanning 530004, China |
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Abstract In order to establish the aseismic dynamic reliability analysis method for practical viscoelastic damper energy dissipation structure and damper system with braces, a general analytical solution to responses of a practical viscoelastic damper energy dissipation isolation system with braces in non-expansive order space under non-uniform and completely non-stationary seismic excitation was proposed. Firstly, the equivalent transformation was made for the practical viscoelastic damper with braces, and the dynamic equation of the isolation structure system was established. Then, the non-orthogonal mode superposition analytical solution to the transient response of the system under arbitrary excitation and non-zero initial conditions was obtained in non-expansive order space. Furthermore, due to the non-stationarity of intensity and frequency of ground motion, the general analytical expressions for non-stationary mean square responses of the system’s displacements, velocities, damper’s force and force velocity, brace’s displacement and velocity, damper’s displacement and velocity were obtained, and analytical solutions to the system’s responses under the classical uniform and non-uniform modulated non-stationary random earthquake excitation and C-P completely non-stationary ground motion power spectrum model, respectively were obtained. Through comparing frequency response functions of the system’s various responses obtained with the proposed method and those obtained with the direct solving method, the correctness of the proposed method was verified. The proposed method provided a new analysis way for aseismic design and aseismic dynamic reliability analysis of practical viscoelastic damper energy dissipation structure and damper systems with braces.
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Received: 23 December 2019
Published: 15 April 2021
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