Shape optimization of elastic axisymmetric bodies
نویسندگان
چکیده
منابع مشابه
Parametrization invariance and shape equations of elastic axisymmetric vesicles.
The issue of different parameterizations of the axisymmetric vesicle shape addressed by Hu Jian-Guo and Ou-Yang Zhong-Can [ Phys.Rev. E 47 (1993) 461 ] is reassesed, especially as it transpires through the corresponding Euler Lagrange equations of the associated elastic energy functional. It is argued that for regular, smooth contours of vesicles with spherical topology, different parameterizat...
متن کاملRiemannian Optimization for Elastic Shape Analysis
In elastic shape analysis, a representation of a shape is invariant to translation, scaling, rotation and reparameterization and important problems (such as computing the distance and geodesic between two curves, the mean of a set of curves, and other statistical analyses) require finding a best rotation and re-parameterization between two curves. In this paper, we focus on this key subproblem ...
متن کاملAn Optimization Method for Elastic Shape Matching
This note addresses the following shape matching problem: given a ‘template’ shape, numerically described by means of a computational mesh, and a ‘target’ shape, known only via a signed distance function to its boundary, we aim at deforming iteratively the mesh of the template shape into a computational mesh of the target shape. To achieve this goal, we rely on techniques from shape optimizatio...
متن کاملTopology Optimization of Two Linear Elastic Bodies in Unilateral Contact
Abstract The optimal solutions are most sensitive to the boundary conditions when performing topology optimization of components. In many applications the design domain of the components are subjected to unilateral contact conditions. In order to obtain relevant conceptual designs by topology optimization of such systems, the contact conditions should be included explicitly in the optimization....
متن کاملApplication of Genetic Algorithms in Shape Optimization for Aerodynamic Bodies
The objective of this study is to minimize the drag coefficient of aerodynamics bodies for a specified design Reynolds number regime. With the aerodynamics model the gradient of the objective function (drag coefficient) cannot be determined analytically. Furthermore, it is expected that the objective function is multi-modal, i.e. it shows more than one minimum. Therefore, the optimization algor...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1989
ISSN: 0862-7940,1572-9109
DOI: 10.21136/am.1989.104350