Rayleigh阻尼和振型阻尼在大规模建筑结构显式动力分析的实现及应用

Realization and Application of Rayleigh Damping and Modal Damping in Explicit Dynamic Analysis of Large-scale Buildings

摘要: 为了弥补Rayleigh阻尼和“简化”振型阻尼在显式动力分析的不足，本文在精细化有限元模型的基础上提出了振型阻尼结合质量阻尼的“修正”振型阻尼(即: “M-M D”)，并从显式求解精度、稳定性以及对高阶振型放大响应的抑制作用的角度对Rayleigh阻尼和“M-M D”进行了分析。利用PKPM-SAUSAGE软件，对采用了这两种阻尼的显式动力时程计算结果进行了对比，分析了高阶振型放大响应对结构动力分析的影响以及两种阻尼模型对高阶振型放大响应的抑制作用，结果表明“M-M D”的效果更好。

Abstract: To make up for the deficiencies of Rayleigh damping and "simplified" modal damping in explicit dynamic analysis, this paper proposes the "correction" modal damping (M-M D) of modal damping and mass damping based on high-precision finite element model. It also analyzes Rayleigh damping and M-M D from the perspective of explicit solving accuracy, stability and inhibiting effect on high-order modal amplifier response. The paper uses PKPM-SAUSAGE to compare the explicit dynamic time calculation results of these two dampings and analyzes the effect of high-order modal amplifier response on structural dynamic analysis and the inhibiting effect of these two damping models on high-order modal amplifier response. The results show that M-M D excels.