Topology Optimization Incorporating Level Set Boundary Expressions Using a Particle Method
نویسندگان
چکیده
منابع مشابه
ISOGEOMETRIC TOPOLOGY OPTIMIZATION OF STRUCTURES USING LEVEL SET METHOD INCORPORATING SENSITIVITY ANALYSIS
This study focuses on the topology optimization of structures using a hybrid of level set method (LSM) incorporating sensitivity analysis and isogeometric analysis (IGA). First, the topology optimization problem is formulated using the LSM based on the shape gradient. The shape gradient easily handles boundary propagation with topological changes. In the LSM, the topological gradient method as ...
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 کاملStructural Topology Optimization Using Finite Element Based Level Set Method Structural Topology Optimization Using Finite Element Based Level Set Method
A finite element based level set method is proposed for structural topology optimization. Because both the level set equation and the reinitialization equation are advection dominated partial differential equations, the standard Galerkin finite element method may produce oscillating results. In this paper, both equations are solved using a streamline diffusion finite element method (SDFEM). The...
متن کاملTOPOLOGY OPTIMIZATION OF PLANE STRUCTURES USING BINARY LEVEL SET METHOD AND ISOGEOMETRIC ANALYSIS
This paper presents the topology optimization of plane structures using a binary level set (BLS) approach and isogeometric analysis (IGA). In the standard level set method, the domain boundary is descripted as an isocountour of a scalar function of a higher dimensionality. The evolution of this boundary is governed by Hamilton–Jacobi equation. In the BLS method, the interfaces of subdomai...
متن کاملA topology optimization method based on the level set method incorporating a fictitious interface energy
This paper proposes a new topology optimization method, which can adjust the geometrical complexity of optimal configurations, using the level set method and incorporating a fictitious interface energy derived from the phase field method. First, a topology optimization problem is formulated based on the level set method, and the method of regularizing the optimization problem by introducing fic...
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: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
سال: 2011
ISSN: 0387-5008,1884-8338
DOI: 10.1299/kikaia.77.2054