Concurrent shape and topology optimization involving design‐dependent pressure loads using implicit B‐spline curves

2019 ◽  
Vol 118 (9) ◽  
pp. 495-518 ◽  
Author(s):  
Ying Zhou ◽  
Weihong Zhang ◽  
Jihong Zhu
Keyword(s):  
Topology Optimization ◽  
B Spline ◽  
Shape And Topology Optimization ◽  
And Topology ◽  
Spline Curves

Combined Shape and Topology Optimization of Free Form Shells

2010 ◽  
Vol 163-167 ◽  
pp. 2356-2360
Author(s):  
Lei Wang ◽  
Qi Lin Zhang ◽  
Bin Yang
Keyword(s):  
Topology Optimization ◽  
Strain Energy ◽  
3D Model ◽  
Necessary Optimality Conditions ◽  
Shell Structures ◽  
Free Form ◽  
B Spline ◽  
Shape And Topology Optimization ◽  
And Topology ◽  
Structural Strain

With the aim of finding the optimum design that maximizes the stiffness of shell structures, an suitable approach for combined shape and topology optimization of free-form surface is presented. For numerical expression for the configuration of free form shell, NURBS (Non Uniform Rational B-Spline) is utilized. For shape optimization, the approach is employed to calculate the differential of total structural strain energy corresponding to surface height parameters. The surface height is adjusted iteratively according to its sensitivity to total structural strain energy. For topology optimization, the OC algorithms which are derived from the necessary optimality conditions are used and element connectivity is taken as design variable. The method has been implemented into a computational 3D model and example is provided to show the applicability of the present method.

Structural Topology Optimization Through Explicit Boundary Evolution

2016 ◽  
Vol 84 (1) ◽  
Author(s):  
Weisheng Zhang ◽  
Wanying Yang ◽  
Jianhua Zhou ◽  
Dong Li ◽  
Xu Guo
Keyword(s):  
Topology Optimization ◽  
Optimal Designs ◽  
Structural Topology ◽  
B Spline ◽  
Numerical Examples ◽  
Optimization Framework ◽  
And Topology ◽  
Spline Curves ◽  
Structural Boundary ◽  
Moving Morphable Components

Traditional topology optimization is usually carried out with approaches where structural boundaries are represented in an implicit way. The aim of the present paper is to develop a topology optimization framework where both the shape and topology of a structure can be obtained simultaneously through an explicit boundary description and evolution. To this end, B-spline curves are used to describe the boundaries of moving morphable components (MMCs) or moving morphable voids (MMVs) in the structure and some special techniques are developed to preserve the smoothness of the structural boundary when topological change occurs. Numerical examples show that optimal designs with smooth structural boundaries can be obtained successfully with the use of the proposed approach.

scholarly journals Shape and topology optimization of a permanent-magnet machine under uncertainties

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Piotr Putek ◽  
Roland Pulch ◽  
Andreas Bartel ◽  
E Jan W ter Maten ◽  
Michael Günther ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Permanent Magnet ◽  
Permanent Magnet Machine ◽  
Shape And Topology Optimization ◽  
And Topology
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