有限质点法阻尼构造问题的研究  

STUDY ON DAMPING IN FINITE PARTICLE METHOD

作　　者：喻莹 刘飞鸿 王钦华[1] 罗尧治[2] 李洋[2] YU Ying;LIU Fei-hong;WANG Qin-hua;LUO Yao-zhi;LI Yang(Department of Civil and Environmental Engineering,Shantou University,Shantou,Guangdong 515000,China;Space Structures Research Center,Zhejiang University,Hangzhou,Zhejiang 310000,China;Key Laboratory of Structure Engineering of Jiangsu Province,Suzhou,Jiangsu 215006,China)

机构地区：[1]汕头大学土木与环境工程系,广东汕头515000 [2]浙江大学空间结构研究中心,浙江杭州310000 [3]江苏省结构工程重点实验室,江苏苏州215006

出　　处：《工程力学》2019年第11期34-40,共7页Engineering Mechanics

基　　金：国家重点研发计划项目(2017YFC0806100);广东省自然科学基金项目(2018A030307030);汕头市科技计划项目(2016-37);江苏省结构工程重点实验室项目(ZD1702)

摘　　要：有限质点法(FPM)是一种向量式的结构计算新方法,它通过质点的运动描述结构的行为。该方法本身是一个求解结构动力学问题的显示积分方法,但是一直以来有限质点法对阻尼问题的考虑存在不足。该文首先将介绍有限质点法的基本原理和现有阻尼形式,然后将基于Rayleigh方法提出两种适用于有限质点法的阻尼构造方法。通过单层网壳多点激励下的动力数值分析以及框架振动台试验两个实例进行讨论,验证了提出的阻尼构造方法的正确性。结果表明该文工作能改善原有阻尼构造形式的不足,且具有较高的精度,并能完善有限质点法的动力计算理论。The finite particle method(FPM) is a new structural analysis method based on the vector mechanics. It describes structural behaviors by analyzing particles moving and is an explicit time integration framework to solve structural dynamic problems. However, in terms of the energy dissipation mechanism, deficient damping form exists in this method. Firstly, the fundamental theory of FPM and its existing damping model are introduced. Based on the Rayleigh scheme, two models for FPM damping are proposed. Then, the proposed damping models are discussed by numerical examples and tests. The results show that both of the proposed models can enhance the damping approximation with a higher accuracy and therefore improve the FPM theory.

关 键 词：有限质点法 阻尼模型 结构动力响应 结构计算方法 时程分析法 

分 类 号：TU311.3[建筑科学—结构工程]