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| Pseudo-excitation method for stationary random responses of non-proportionally damped MDOF systems |
| Revised:September 20, 2005 |
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| DOI：10.7511/jslx20081020 |
| KeyWord:non-proportionally damped systems,complex mode superposition method,complex oscillator,structural stationary random responses,pseudo-excitation method |
| WANG Meng-fu |
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| Abstract: |
| In terms of the complex mode superposition method,the motion equations of general multiple degrees of freedom(MDOF) discrete system can be transferred into the combination of many complex oscillators.Assuming that the earthquake ground motion is a zero-mean-valued stationary random excitation,the analytic solutions of these complex oscillators are derived in virtue of the principle of pseudo-excitation method;then a delicate general solution of non-proportionally damped MDOF systems subjected to earthquake ground motion,complete in real value form,is presented in this paper.Comparing with the traditional pesudo-excitation method,to ensure the accuracy in the dynamic response analysis of non-proportionally damped MDOF systems,the less modes in complex conjugate pairs is required in using the proposed pseudo-excitation method in this paper,so that the computing efficiency is mproved greatly.A numerical example is given to demonstrate the validity and efficiency of the algorithm. |
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