动力阻尼特性及速度有限元法

杨真荣; 闫榕玲

动力阻尼特性及速度有限元法

中国科学院计算中心

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出版历程
- 收稿日期: 1981-04-23
- 刊出日期: 1983-04-15

Damping Feature of Dynamic Problem and “Velocity” Finite Element Method

Computer Center, Academia Sinica, Beijing

摘要

摘要: 为了节省动态问题的计算量和存贮量,本文在[16]的基础上,分析动态阻尼特性,研究阻尼与材料、有限元格网尺寸或频率等定量关系,给出了最大模的估计定理及不同情况的推论.结合数值分析实例,论证阻尼对于动拉应力的影响是按模有界的;其影响值存在正负.这说明,只认为阻尼会使应力“一律偏小”的观念是不确切的.文中,进一步说明了速度有限元法的特点.文末附录了必要的数值计算成果.

Abstract: In order to reduce the amount of computation and storage of dynamic problem, this paper based on [16] is intended to analyse damping feature, and study the relations among the damping and the material as well as frequencies and the size of mesh of finite element, besides giving the estimation theorem of maximum norm and a corollary.Examples have been analyzed numerically with limited norm. The influence of damping on the dynamic tense stress is assumed to be limited, in value, but it can be botli positive and negative.This means that to regard damping as always tending to decrease the stress incline is incorrect.The feature of "velocity" finite element method is summarized further in the paper. Some necessary numericsl results are given in the appendix.

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参考文献(17)

[1]	Houbolt,J.C.,A Recurrence Matrix Solution for the Dynamic Response of Elastic Aircraft,J.Aeronaut.Sic.,17,(1950),540-550.
[2]	Newmark,N.M.,A Method of Computation for Structural Dynamics,Proc.Am.Soc.Civ.Eng.,85,EM3(1959),67-94.
[3]	Chan,S.P.and H.L.Cox,Transient Analysis of Forced Vibrations of Complete Structural-Mechanical Systems,JLR.Aeronaut.Soc.66,(1962),457-460.
[4]	Gurtin,M.E.,Variational Principles for Linear Elasto-Dynamics,Archs.Ration.Mech.Analysis,16,(1964),34-50.
[5]	Wilson,E.L.,A Computer Program for the Dynamic Stress Analysis of Underground Structures,Report No.68-1,Univ.of Calif.,Berkeley,(1968).
[6]	Zienkiewicz,O.C.,A New Look at the Newmark,Houlbot and Other Time Stepping Formulas:A Weighted Residual Approach,Earth.Eng.Stru.Dyna.,5,(1977),413-418.
[7]	Hilber,H.M.,Collocation Dissipation and‘Overshoot' for Time Integration Shemes in Structural Dynamics,EARTH,ENG,and STRU.DYNA.,6,(1978),99-117.
[8]	Richmyer,Robert D.,Difference Methods for Initial-Value Problems,Inter-science Publishers,New York(1967).
[9]	钱伟长,《变分法及有限元》(1978).
[10]	Connor,J.J.,《流体流动的有限元技术》(1976).
[11]	杨真荣、徐萃薇、王大钧、周本华、魏泽光,有限元法动力分析,全国计算技术会议文选(1973),748.
[12]	沈崇刚、陈厚群、杨真荣等,新丰江水库地震及其对大坝的影响,国际大坝会议11届会议论文,中国科学,17,2(1974).
[13]	徐宗和、罗学海、杨真荣等,新丰江水库诱发地震的强震观测,国际诱震第一届学术讨论会报告(1975),
[14]	杨真荣,动力问题的有限单元法,科学院计算所(1975).
[15]	科学院计算所,建研院等,平面框架非线性地震反应分析初探(1978).
[16]	杨真荣,动态问题速度有限元法,应用数学和力学,1,1(1980).
[17]	Whiteman,J.R.,The Mathematics of Finite Elements and Applications,United States Edition,published by Academic Press,Inc.,New York.