曹胜涛1,2，李志山1，刘春明 2，杨志勇2

（1 广州大学减振控制与结构安全国家重点实验室（培育）， 广州 510405；

2 中国建筑科学研究院， 北京 100013）

［摘要］为保证结构大震非线性显式动力时程分析和小震反应谱分析阻尼模型的一致性，提出了三种阻尼模型(振型阻尼、振型阻尼结合刚度阻尼、振型阻尼结合质量阻尼)的显式积分格式，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三种振型阻尼模型进行了分析。采用PKPM-SAUSAGE软件，通过某实际工程算例的小震反应谱计算结果和采用三种振型阻尼的显式动力时程计算结果的对比，分析了高阶振型放大响应对结构动力分析的影响以及三种振型阻尼对高阶振型放大响应的抑制作用，结果表明振型阻尼结合质量阻尼综合效果较好。

［关键词］振型阻尼； 非线性显式动力计算； 求解精度； 稳定性； 高阶振型放大响应； PKPM-SAUSAGE

中图分类号：TU311.3, TU311.41文献标识码：A文章编号：1002-848X(2016)01-0030-08

Application of modal damping in nonlinear explicit dynamic analysis of large-scale structure

Cao Shengtao1,2, Li Zhishan1, Liu Chunming2 , Yang Zhiyong2

(1 State Key Laboratory for Seismic Control and Structural Safety(Cultivation base), Guangzhou University,

Guangzhou 510405, China; 2 China Academy of Building Research, Beijing 100013, China)

Abstract:In order to ensure the damping consistency of nonlinear explicit dynamic analysis of structure under rare earthquake and response spectrum analysis of structure under small earthquake, three structure damping applying methods for the explicit dynamic equation integration were proposed, namely modal damping method, modal damping combined with stiffness damping modification method and modal damping combined with mass damping modification method. The accuracy, stability and the inhibition effect on amplification effects of high order modes were discussed. These modal damping applying methods were implemented in software package called “PKPM-SAUSAGE”. A real project was analyzed by PKPM-SAUSAGE, response spectrum calculation results under small earthquake and explicit dynamic calculation results with three kinds of modal damping were compared, influence of high order modes and inhibition effect of the three kinds of modal damping on amplification effects of high order modes were also discussed. Research results show that the modal damping combined with mass damping modification method is best method among the three proposed methods.

Keywords:modal damping; nonlinear explicit dynamic analysis; accuracy； stability; amplification of high order mode; PKPM-SAUSAGE

*教育部创新团队IRT13057。

作者简介：曹胜涛,博士研究生,Email:caoshengtao@cabrtech.com。