解黏弹性地基梁受迫振动的时域DQ法  

Time-domain Differential Quadrature Method for Vibration Analysis of Beams on Viscoelastic Foundations

作　　者：陈廷兵 彭建设 林凡 CHEN Tingbing;PENG Jiamhe;liN Fan(School of Mechanical Engineering,Xihua University,Chengdu 610039,China;School of Mechanical Engineering,Chengdu University,Chengdu 610106,China;School of Pipeline and Civil Engineering,China University of Petroleum,Qingdao 257061,China)

机构地区：[1]西华大学机械工程学院,四川成都610039 [2]成都大学机械工程学院,四川成都610106 [3]中国石油大学储运与建筑工程学院,山东青岛257061

出　　处：《成都大学学报（自然科学版）》2018年第1期96-99,共4页Journal of Chengdu University（Natural Science Edition）

基　　金：四川省教育厅应用基础研究(2011JY0076)资助项目

摘　　要：采用时域DQ法探讨了黏弹性地基上长度为L的Euler-Bernoulli梁的横向振动.该方法直接从控制微分方程出发,在空间域和时间域均采用离散的DQ法,得到求位移场全部待定参数的可解线性方程组.针对策动力F(x,t)=Q·sinwt作用下黏弹性地基梁的动力学初—边值条件问题的计算结果表明,方法的数学原理依据充分,精度好,效率高,具有推广应用的价值.This paper investigates the transverse vibrations of finite Euler-Bernoulli beams resting on viscoelastic foundations.Based on the governing differential equation,the discrete DQ method is adopted both in space domain and time domain to obtain the soluble linear system of equations of all the undetermined parameters of the displacement-field.Under the driving force,the calculation results of beams resting on viscoelastic foundations with initial-boundary value conditions in dynamics show that the mathematical principle of the time-domain DQ method is sufficient,accurate and efficient,and therefore the method is worth being applied and popularized.

关 键 词：时域DQ法 黏洋性地基 受迫振动 动力响应 

分 类 号：O302[理学—力学] O321