Computer aided optimal design of elastic structures
The NATO Advanced Study Institute on Computer Aided Optimal Design: structural and mechanical systems on Computer aided optimal design: structural and mechanical systems
Optimization techniques: synthesis of design and analysis
Finite Elements in Analysis and Design
A shape optimization approach based on natural design variables and shape functions
Computer Methods in Applied Mechanics and Engineering
An interactive capability for shape optimal design
Finite Elements in Analysis and Design
Shape optimization in laminated composite plates
Computer Methods in Applied Mechanics and Engineering
Elementary Numerical Analysis: An Algorithmic Approach
Elementary Numerical Analysis: An Algorithmic Approach
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An efficient technique that examines the optimum shape of elastic continuum structures is presented. The total number of stiffness matrix inversions required to obtain the optimal shape was significantly reduced as a result of using a newly developed iterative and approximate algorithm. The new technique is capable of approximating both displacements and stresses, and allows the user to have control over the degree of approximation. The efficiency of the proposed iterative approach was verified through various numerical examples and proved to be a viable alternative to the direct approach (which requires matrix inversion), especially in large-scale problems. The proposed approach is not limited, however, to shape optimization, but can be applied to other branches of structural optimization.