DAMPING FEATURE OF DYNAMIC PROBLEM AND “VELOCITY” FINITE ELEMENT METHOD

Applied Mathematics and Mechanics (English Edition) ›› 1983, Vol. 4 ›› Issue (2): 253-260.

DAMPING FEATURE OF DYNAMIC PROBLEM AND “VELOCITY” FINITE ELEMENT METHOD

杨真荣, 闫榕玲

Computer Center, Academia Sinica, Beijing

收稿日期:1981-04-23 出版日期:1983-03-18 发布日期:1983-03-18

DAMPING FEATURE OF DYNAMIC PROBLEM AND “VELOCITY” FINITE ELEMENT METHOD

Yang Zhen-rong, Yan Rong-1ing

Computer Center, Academia Sinica, Beijing

Received:1981-04-23 Online:1983-03-18 Published:1983-03-18

摘要/Abstract

摘要： 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.

关键词: Klein-Gordon-Schrdinger equations, homogeneous balance principle, exact solitary wave solution

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.

Key words: Klein-Gordon-Schrdinger equations, homogeneous balance principle, exact solitary wave solution

杨真荣;闫榕玲. DAMPING FEATURE OF DYNAMIC PROBLEM AND “VELOCITY” FINITE ELEMENT METHOD[J]. Applied Mathematics and Mechanics (English Edition), 1983, 4(2): 253-260.

Yang Zhen-rong;Yan Rong-ing. DAMPING FEATURE OF DYNAMIC PROBLEM AND “VELOCITY” FINITE ELEMENT METHOD[J]. Applied Mathematics and Mechanics (English Edition), 1983, 4(2): 253-260.

参考文献

[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] Chien Wei-zang,Variational Method and Finite Element Method in Fluid Flow,(1978).(in Chinese).
[10] Connor,J.J.,Finite Element Method in Fluid Flow,(1976).
[11] Yang Zhen-rong et al,Finite Element Dynamic Analysis(National Computational Methods Conference),(in Chinese).
[12] Shen Chong-kiang et al.,Shih-Fong Reservior Earthquake and Its Influence on the Dam,Acta Sinica,XVII,2(1974).(in Chinese).
[13] Shu Chong-ho et al.The observation of Shih-Fong Reservior Earthquake,International Earthquake Conference(1975),(in Chinese).
[14] Yang Zhen-rong,Finite Element Method in Dynamic Problems,Institute of Computational Mathematics,Academia Sinica.(in Chinese).
[15] Institute of Computational Mathematics,Academia Sinica,Institute of Building Construction,Preliminary Analysis on the Earthquake Nonlinear Response of Plane Frame,(1978).(in Chinese).
[16] Yang Zhen-rong,“Velocity”Finite Element Method for Dynamic Problems,Applied Mathematics and Mechanics,Vol.1,No.1,(1980),133-148.
[17] Whiteman,J.R.,The Mathematics of Finite Elements and Applications,United States Edition,published by Academic Press,Inc.,New York.

DAMPING FEATURE OF DYNAMIC PROBLEM AND “VELOCITY” FINITE ELEMENT METHOD

DAMPING FEATURE OF DYNAMIC PROBLEM AND “VELOCITY” FINITE ELEMENT METHOD

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