FINITE-ELEMENTS AND CONVERGENCE FOR DYNAMIC ANALYSIS OF BEAMS

被引：2

作者：

BUDCHAROENTONG, D

NEUBERT, VH

机构：

[1] King Mongkut's Institute of Technology

[2] The Pennsylvania State University, University Park

来源：

COMPUTERS & STRUCTURES | 1979年 / 10卷 / 05期

关键词：

D O I：

10.1016/0045-7949(79)90036-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Two different methods are considered for improving the accuracy of finite elements for calculation of dynamic response of the Bernoulli-Euler beam. One method involves a generalized-coordinate procedure in which quadratic displacement functions are used to formulate a non-consistent mass matrix. In the second approach, a lumped parameter model is developed by making the dynamic stiffness, or mechanical impedance, accurate at the connection points. The two finite elements developed are compared with the consistent mass model and a center-of-gravity lumped mass model. Of particular interest is the rate of convergence of natural frequencies and dynamic stiffness. © 1979.

引用

页码：723 / 729

页数：7

共 14 条

[1]

Budcharoentong, Finite Elements for Vibration Analysis of a Beam, Ph.D. Thesis, (1977)

[2]

MacNeal, NASTRAN Theoretical Manual, NASA Sp-221, (1972)

[3]

Clough, Bathe, Finite element analysis of dynamic response, Proc. 2nd U.S.-Japan Symp. Computational Methods Structural Analysis Design, (1972)

[4]

Neubert, Hahn, Lee, Lumped parameter beams based on impedance methods, J. Engng Mech. Div. Proc. ASCE, EMI, 96, pp. 69-82, (1970)

[5]

Fried, Malkus, Finite element mass matrix lumping by numerical integration with no convergence rate loss, Int. J. Solids Structures, 11, pp. 461-466, (1975)

[6]

Hinton, Rock, Zienkirwicz, A note on mass lumping and related processes in the finite element method, Int. J. Earthq. Engng Structural Dyn., 4, pp. 245-249, (1976)

[7]

Belshein, O'Hara, Shock design of shipboard equipment. Part I—dynamic design-analysis method, NRL Rep. 5545, (1960)

[8]

Neubert, Lumping of mass in calculating vibration response, (EMI), Proc. Paper 3801, 90, pp. 47-67, (1964)

[9]

Archer, Consistent mass matrix for distributed mass system, J. Struct. Div. Proc. ASCE, 89, pp. 161-178, (1963)

[10]

Hahn, Neubert, Lumped parameter beam model based on mechanical impedance, Department of Engineering Mechanics, The Pennsylvania State University, Interim Report No. 7, (1968)

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