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Journal of Vibration and Shock. 2014, (16) Core

Constraint optimal solution of Rayleigh damping coefficients for long-span cable-stayed bridgesChinese Full Text

PAN Dan-guang;JIN Guo-hao;GAO Li-li;Department of Civil Engineering,University of Science and Technology Beijing;

Abstract: For the seismic response analysis of long span bridges,an optimal analysis method was proposed to solve Rayleigh damping coefficients. In the method,the errors of structural displacement peaks were taken as the optimization objective function. Meanwhile,considering that the fundamental-mode contribution is usually significantly larger than others,the constraint condition was described as the equivalence between the modal damping ratio of fundamental mode and the exact value. So,a constraint optimization equation was developed for solving Rayleigh damping coefficients.Then,the effects of the modes number and the referencial degrees of freedom in optimization calculation on the evaluation of Rayleigh damping coefficients were investigated,taking a 840m-long cable-stayed bridge as an example. Comparing with the traditional Rayleigh damping,the errors of structural displacements and internal forces under four kinds of earthquake excitations were discussed. The numerical results show that the proposed method can reduce the calculation errors of displacements and internal forces effectively,and avoid the artificial selection of referencial frequencies,which is suitable for calculation and analysis of engineering structures.
Keywords：

long-span bridges; seismic response analysis; Rayleigh damping; constraint optimal analysis;

  • DOI：

    10.13465/j.cnki.jvs.2014.16.007

  • Series：

  • Subject：

  • Classification Code：

    U448.27;U442.55

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