NDLI: Shape optimization of two-dimensional anisotropic structures using the boundary element method

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Shape optimization of two-dimensional anisotropic structures using the boundary element method

Content Provider	Semantic Scholar
Author	Tafreshi, Azam
Copyright Year	2003
Abstract	A shape optimization procedure is developed, using the boundary element method, for two-dimensional anisotropic structures to minimize weight while satisfying certain constraints upon stresses and geometry. A directly differentiated form of boundary integral equation with respect to geometric design variables is used to calculate shape design sensitivities of anisotropic materials. The boundary element method is very suitable for shape optimization and in comparison with the finite element method needs much fewer data, related only to the boundary of the structure being considered. Because a directly differentiated form of the boundary integral equation can be used to determine the derivatives of the objective and constraint functions, the accuracy of computation is very high. Because of the non-linear nature of weight and stresses, the numerical optimization method used in the program is the feasible direction approach, together with the golden section method for the one-dimensional search. Three example problems with anisotropic material properties are presented to demonstrate the applications of this general-purpose program.
Starting Page	219
Ending Page	232
Page Count	14
File Format	PDF HTM / HTML
DOI	10.1243/030932403765310554
Volume Number	38
Alternate Webpage(s)	https://www.research.manchester.ac.uk/portal/files/56828809/ATafreshi_JSA.pdf
Alternate Webpage(s)	https://doi.org/10.1243/030932403765310554
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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