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Structural design sensitivity analysis with general boundary conditions: Dynamic problem
Author(s) -
Hsieh C. C.,
Arora J. S.
Publication year - 1985
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620210206
Subject(s) - sensitivity (control systems) , eigenvalues and eigenvectors , finite element method , boundary (topology) , boundary value problem , mathematical optimization , constraint (computer aided design) , transient (computer programming) , computer science , boundary element method , numerical analysis , mathematics , structural engineering , mathematical analysis , engineering , geometry , physics , quantum mechanics , electronic engineering , operating system
In a previous paper 1 , design sensitivity analysis of static response of structural systems when general boundary conditions are imposed during the analysis phase was developed and presented. This paper presents methods for design sensitivity analysis of dynamic response of structural systems when general boundary conditions are imposed during the analysis phase: Eigenvalue as well as transient response problems are discussed. Design sensitivity expression for eigenvalue constraints is derived. For the transient problem, point‐wise as well as the integral‐type constraint functions are treated. Advantages of these design sensitivity analysis procedures for the dynamic problem are the same as for the static problem. Namely, they are compatible with any existing finite element analysis computer code. Also, they can handle general boundary conditions that are design independent or dependent. Three simple examples are presented to show use of the procedures. Based on these applications, general‐purpose numerical procedures can be developed and incorporated into existing computer codes.