Level Set Method for Shape Optimization of Plate Piezoelectric Patches
نویسندگان
چکیده
منابع مشابه
A level-set method for shape optimization
We study a level-set method for numerical shape optimization of elastic structures. Our approach combines the level-set algorithm of Osher and Sethian with the classical shape gradient. Although this method is not specifically designed for topology optimization, it can easily handle topology changes for a very large class of objective functions. Its cost is moderate since the shape is captured ...
متن کاملAn extended level set method for shape and topology optimization
In this paper, the conventional level set methods are extended as an effective approach for shape and topology optimization by the introduction of the radial basis functions (RBFs). The RBF multiquadric splines are used to construct the implicit level set function with a high level of accuracy and smoothness and to discretize the original initial value problem into an interpolation problem. The...
متن کاملA topology-preserving level set method for shape optimization
The classical level set method, which represents the boundary of the unknown geometry as the zero-level set of a function, has been shown to be very effective in solving shape optimization problems. The present work addresses the issue of using a level set representation when there are simple geometrical and topological constraints. We propose a logarithmic barrier penalty which acts to enforce...
متن کاملA BINARY LEVEL SET METHOD FOR STRUCTURAL TOPOLOGY OPTIMIZATION
This paper proposes an effective algorithm based on the level set method (LSM) to solve shape and topology optimization problems. Since the conventional LSM has several limitations, a binary level set method (BLSM) is used instead. In the BLSM, the level set function can only take 1 and -1 values at convergence. Thus, it is related to phase-field methods. We don’t need to solve the Hamilton-Jac...
متن کاملTopological Shape Optimization of Multiphysics Actuators using Level Set Method
This paper proposes a topological shape optimization method for the design of multi-physics piezoelectric actuators using a level set method of piecewise constants. A level set function taking level sets of piecewise constants is applied to implicitly represent design boundaries in a multiphase design domain, in which each constant level set denotes one material phase. As a result, only one lev...
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: Methods and Applications of Analysis
سال: 2003
ISSN: 1073-2772,1945-0001
DOI: 10.4310/maa.2003.v10.n2.a10