Iterative Analysis Method for Structural Components with Diverse Stiffnesses

Autor:	A. Levy, Fred Austin, I. U. Ojalvo
Rok vydání:	1976
Předmět:	Mathematical optimization Aerospace Engineering Stiffness Degrees of freedom (mechanics) Finite element method Rate of convergence Component (UML) Convergence (routing) medicine Applied mathematics Direct stiffness method medicine.symptom Material properties Mathematics
Zdroj:	AIAA Journal. 14:1219-1224
ISSN:	1533-385X 0001-1452
Popis:	An iterative solution scheme is presented for the static and dynamic analysis of built-up structures in which the stiffness of one relatively rigid component is a dominant factor in governing the overall response. In complex problems, where each structural component is represented by finite-elemen t models with many degrees of freedom, application of the standard direct-stiffness method requires equation solutions involving large numbers of unknowns. Also, the direct stiffness method may lead to numerical precision problems when combining the terms of components with diverse stiffnesses. This paper presents a technique which, under certain conditions to be discussed, overcomes these problems through an efficient iterative procedure. The method requires treatment of only a single structural component at any given time and the convergence rate is shown to depend upon the relative impedances of the components. Results are presented for the static, dynamic, and thermal stress analysis of the space-shuttle thermal-protection system. This problem is ideally suited to this application and results reveal a rapid rate of convergence.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dcb5ad2f85f90c05c37844ed16806897 https://doi.org/10.2514/3.61456 Zobrazit plný text záznamu