FREE-VIBRATION OF COMPOSITE BEAMS - AN EXACT METHOD USING SYMBOLIC COMPUTATION

被引：76

作者：

BANERJEE, JR

WILLIAMS, FW

机构：

[1] Department of Mechanical Engineering and Aeronautics, City University, London, EC1V OHB, Northampton Square

[2] Division of Structural Engineering, Cardiff School of Engineering, University of Wales College of Cardiff, Cardiff, CF2 1YF, Newport Road

来源：

JOURNAL OF AIRCRAFT | 1995年 / 32卷 / 03期

关键词：

408.2 Structural Members and Shapes - 412 Concrete - 721.1 Computer Theory; Includes Computational Logic; Automata Theory; Switching Theory; Programming Theory - 723.1 Computer Programming - 921.1 Algebra - 931.1 Mechanics - 951 Materials Science;

D O I：

10.2514/3.46767

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

An exact dynamic stiffness matrix method has been developed to predict the free vibration characteristics of composite beams (or simple structures assembled from them) for which the bending and torsional displacements are (materially) coupled. To achieve this, an explicit expression is presented for each of the elements of the dynamic stiffness matrix of a bending-torsion coupled composite beam. This was made possible by performing symbolic computing with the help of the package Reduce. Programming the stiffness expressions in Fortran on a SUN SPARC station indicates about 75% savings in computer time when compared with the matrix inversion method normally adopted in the absence of such expressions. The derived dynamic stiffness matrix is then used in conjunction with the Wittrick-Williams algorithm to compute the natural frequencies and mode shapes of composite beams with substantial coupling between bending and torsional displacements. The results obtained from the present theory are compared with those available in the literature and discussed.

引用

页码：636 / 642

页数：7

共 36 条

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