New Numerical Method for Two-Dimensional Partially Wrinkled Membranes

Autor:	Hongli Ding, Bingen Yang, Michael Lou, Houfei Fang
Rok vydání:	2003
Předmět:	Discretization Numerical analysis Aerospace Engineering Finite element method Nonlinear programming symbols.namesake Variational principle Lagrange multiplier symbols Applied mathematics Calculus of variations Algorithm Parametric statistics Mathematics
Zdroj:	AIAA Journal. 41:125-132
ISSN:	1533-385X 0001-1452
Popis:	Based on the introduction of a nonnegative adjustable parameter into Poisson's ratio, a new numerical method is proposed to solve numerically the partially wrinkled membrane problems with arbitrary complex shapes. Three fundamental issues in this new method are addressed. First, a nonnegative adjustable parameter is introduced into the constitutive law, automatically representing unwrinkled (taut) and wrinkled states of a membrane. Second, a parametric variational principle is developed for the new membrane model. Third, by the variational principle, the original membrane problem is converted to a nonlinear mathematical programming problem. The variational principle and the mathematical programming formulation lay a foundation for efficient numerical analysis of wrinkled membrane structures using finite element discretization. Three typical examples are given to show the effectiveness of this method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8c687fbc384fa9dd59f0de0f9168a158 https://doi.org/10.2514/2.1922 Zobrazit plný text záznamu