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RESEARCH PAPERS

Extension of the Wittrick-Williams Algorithm to Mixed Variable Systems

[+] Author and Article Information
Zhong Wanxie

Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian 116024, People’s Republic of China

F. W. Williams

Head of Division of Structural Engineering, School of Engineering, University of Wales Cardiff, Cardiff CF2 1XH, United Kingdom

P. N. Bennett

Division of Structural Engineering, School of Engineering, University of Wales Cardiff, Cardiff CF2 1XH, United Kingdom

J. Vib. Acoust 119(3), 334-340 (Jul 01, 1997) (7 pages) doi:10.1115/1.2889728 History: Received August 01, 1994; Revised September 01, 1995; Online February 26, 2008

Abstract

A precise integration algorithm has recently been proposed by Zhong (1994) for dynamic stiffness matrix computations, but he did not give a corresponding eigenvalue count method. The Wittrick-Williams algorithm gives an eigenvalue count method for pure displacement formulations, but the precise integration method uses a mixed variable formulation. Therefore the Wittrick-Williams method is extended in this paper to give the eigenvalue count needed by the precise integration method and by other methods involving mixed variable formulations. A simple Timoshenko beam example is included.

Copyright © 1997 by The American Society of Mechanical Engineers
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