Computer aided optimal design of elastic structures

This Section concentrates on two major objectives that are currently pursued at the research level, and that should soon be ready for implementation in practical Computer Aided Engineering systems. The first objective is to develop a general approach to shape optimal design of elastic structures discretized by the Finite Element Method (FEM). The key idea is to employ geometric modeling concepts typical of the Computer Aided Design (CAD) technology, in order to produce sensitivity analysis results. These sensitivity data can then be used by an optimizer to generate an improved design.

[1]  C. Fleury,et al.  Shape optimal design - A performing C.A.D. oriented formulation , 1984 .

[2]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

[3]  A. J. Morris,et al.  Foundations of Structural Optimization: A Unified Approach , 1982 .

[4]  E Atrek,et al.  New directions in optimum structural design , 1984 .

[5]  N. Muskhelishvili.  Some basic problems of the mathematical theory of elasticity , 1953 .

[6]  V. Braibant,et al.  Structural optimization: A new dual method using mixed variables , 1986 .

[7]  V. Braibant,et al.  An approximation-concepts approach to shape optimal design , 1985 .

[8]  Raphael T. Haftka,et al.  Preliminary design of composite wings for buckling, strength and displacement constraints , 1979 .

[9]  Claude Fleury,et al.  Sensitivity and optimization of composite structures in MSC/NASTRAN , 1989 .

[10]  L. A. Schmit,et al.  A new structural analysis/synthesis capability - ACCESS , 1975 .

[11]  C. Fleury,et al.  Dual methods and approximation concepts in structural synthesis , 1980 .

[12]  Claude Fleury,et al.  A UNIFIED APPROACH TO STRUCTURAL WEIGHT MINIMIZATION , 1979 .

[13]  C. Fleury.  Structural weight optimization by dual methods of convex programming , 1979 .

[14]  V. Braibant,et al.  Shape optimal design using B-splines , 1984 .

[15]  Raphael T. Haftka,et al.  Sensitivity Analysis in Engineering , 1987 .

[16]  M. E. Botkin,et al.  Shape Optimization of Plate and Shell Structures , 1981 .

[17]  Claude Fleury.  Reconciliation of Mathematical Programming and Optimality Criteria Approaches to Structural Optimization , 1982 .

[18]  Robert B Schnabel,et al.  Determining feasibility of a set of nonlinear inequality constraints , 1980 .