Design parameter variation and structural response

✍ Scribed by K. M. Romstad; J. R. Hutchinson; K. H. Runge

• Book ID: 102958713
• Publisher: John Wiley and Sons
• Year: 1973
• Tongue: English
• Weight: 665 KB
• Volume: 5
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620050305

✦ Synopsis

Abstract

A general power series method is developed to aid in obtaining changes in the response variable due to changes in design parameters. The approach is considered for eigenvalue problems and systems of simultaneous equations which may represent static, dynamic and stability response problems. Particular emphasis is placed upon the eigenvalue problem and techniques for improving the calculations form the power series are suggested utilizing modified Rayleigh quotient expressions. Each of the methods proposed is treated computationally by the formulation of a finite element solution of column elastic stability. Investigations of solution accuracy versus percentage variation in element stiffness, whether the method underestimates or overestimates the changes, and the required number of eigenvalue solutions are presented.