A METHOD FOR DETERMINING RAYLEIGH DAMPING PARAMETERS OF COMPLEX FIELD
DOI:
https://doi.org/10.14311/CEJ.2019.03.0034Klíčová slova:
Rayleigh damping, Damping parameters, Complicated field, Seismic response analysisAbstrakt
Rayleigh damping model, which is still adopted by many general finite element programs
and widely used in analysis of engineering, leads to the inconformity of the calculating modal
damping ratio with the actual modal damping ratios. The appropriate Rayleigh damping matrix is
significant for accurate dynamic response analysis of complicated field. This paper establishes a
dual parameter optimization theory for calculation of Rayleigh damping coefficients. The functional
relation between the relative error of dynamic response and Rayleigh damping coefficients is
established based on CQC method. By taking the square sum of the errors of peak value of
displacement and the error of peak value of acceleration at the multiple points (DOF) of the surface
of the complex site as the control objective, the equations for solving Rayleigh damping coefficients
are obtained based on the principle of minimizing the control objective. Then, as an example, the
seismic response of a valley under the excitation of 28 representative seismic waves which are
randomly selected is calculated and the error due to Rayleigh damping model is analysed. The
numerical result verifies the accuracy and applicability of the proposed method.
Stažení
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