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RESEARCH PAPERS: Reliability, Stress Analysis, and Failure Prevention

Geometry-Based Stiffness Parameters for Predicting Approach of Limit Points in Finite-Element Studies

[+] Author and Article Information
Jami J. Shah

Department of Mechanical and Aerospace Engineering, Arizonia State University, Tempe, AZ 85287

Henry R. Busby, Gary L. Kinzel

Department of Mechanical Engineering, Ohio State University, Columbus, OH 43210

J. Vib., Acoust., Stress, and Reliab 108(4), 462-468 (Oct 01, 1986) (7 pages) doi:10.1115/1.3269371 History: Received June 27, 1986; Online November 23, 2009

Abstract

Several parameters for evaluating the decrease in structural stiffness in nonlinear finite element problems are defined here. Two types of parameters were considered: those that measure the overall softening and those that measure only a selected type of response, such as ovalization or bending. These parameters were used for detecting the approach of limit points in cylinder buckling problems under combined bending and external pressure. This is necessary for determining when the Newton-Raphson scheme should be replaced by displacement control to prevent numerical instability. The two types of parameters used in conjunction provide not only a reliable means for sensing the approach of limit points but also a determination of buckling modes.

Copyright © 1986 by ASME
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