Topology Optimization of 3D Elastic Structures Using Boundary Elements (original) (raw)

Developments in topology and shape optimization

2010

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): ... method; a stress-constrained topology optimization; and a wave tailoring topology optimization. In shape optimization, the independent node movement approach, wherein finite element node coordinates ...

Topological optimization processes

Global Journal of Engineering and Technology Advances, 2022

The method of topological optimization is based on a mathematical algorithm, which is based on the distribution and intensity of detail stress on the investigated component. It was developed using the Rhino-Grasshopper theory. This is a complicated FEM analysis with the help of the Nastran solver in the Siemens NX software environment. The topology detail is controlled by the degree of iteration of the algorithm, changing the size and distribution of the elements in relation to the incoming force stresses of the FEM simulation. The goal of topological optimization is a clearly defined shape of the component for a given design solution.

Evolutionary algorithms and boundary element method in generalized shape optimization

The coupling of modern, alternative optimization methods such as evolutio-nary algorithms with the effective tool for analysis of mechanical structures – BEM, gives a new optimization method, which allows one to perform the generalized shape optimization (simultaneous shape and topology optimiza-tion) for elastic mechanical structures. This new evolutionary method is free from typical limitations connected with classical optimization methods. In the paper, results of researches on the application of evolutionary methods in the domain of mechanics are presented. Numerical examples for some optimization problems are presented, too.

Topology optimization in structural mechanics

Bulletin of the Polish Academy of Sciences: Technical Sciences, 2013

Optimization of structural topology, called briefly: topology optimization, is a relatively new branch of structural optimization. Its aim is to create optimal structures, instead of correcting the dimensions or changing the shapes of initial designs. For being able to create the structure, one should have a possibility to handle the members of zero stiffness or admit the material of singular constitutive properties, i.e. void. In the present paper, four fundamental problems of topology optimization are discussed: Michell’s structures, two-material layout problem in light of the relaxation by homogenization theory, optimal shape design and the free material design. Their features are disclosed by presenting results for selected problems concerning the same feasible domain, boundary conditions and applied loading. This discussion provides a short introduction into current topics of topology optimization