Journal ArticleDOI
Eliminate localized eigenmodes in level set based topology optimization for the maximization of the first eigenfrequency of vibration
Li Zhenhua,Tielin Shi,Qi Xia +2 more
TLDR
A mode recognition technique based on the volume ratio of vibration-free region to the entire structure is proposed to identify localized mode that conventionally arises due to low-density region during the optimization of structural topology optimization.About:
This article is published in Advances in Engineering Software.The article was published on 2017-05-01. It has received 36 citations till now. The article focuses on the topics: Topology optimization & Level set method.read more
Citations
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Journal ArticleDOI
Evolutionary topology optimization of continuum structures with stress constraints
TL;DR: In this paper, the authors proposed to extend the bi-directional evolutionary structural optimization (BESO) method for compliance minimization design subject to both constraints on volume fraction and maximum von Mises stress.
Journal ArticleDOI
Bi-directional evolutionary topology optimization of geometrically nonlinear continuum structures with stress constraints
Bin Xu,Yongsheng Han,Lei Zhao +2 more
TL;DR: In this paper, an extended bi-directional evolutionary structural optimization (BESO) method is adopted to maximize the stiffness of geometrically nonlinear continuum structures subject to volume fraction and maximum von Mises stress constraints.
Journal ArticleDOI
Eigen-frequencies and harmonic responses in topology optimisation: A CAD-compatible algorithm
TL;DR: This paper deals with the integration of specific physical quantities in a special TO algorithm, which combines a classical pseudo-density field with Non-Uniform Rational Basis Spline (NURBS) entities, and the analytical expressions of the gradients of the considered physical quantities are derived in closed form.
Journal ArticleDOI
Topology optimization of vibrating structures with frequency band constraints
TL;DR: A novel formulation of the frequency band constraint based on a modified Heaviside function is proposed, which is continuous and differentiable and derived and used in a gradient-based optimization method, which validates the effectiveness of the developed method.
Journal ArticleDOI
Topology Optimization of Micro-Structured Materials Featured with the Specific Mechanical Properties
TL;DR: In this paper, the design of cellular materials is investigated and an array of micro-structured materials consisting of arrays of microstructures are engineered to provide the specific material properties.
References
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Book
Numerical Optimization
Jorge Nocedal,Stephen J. Wright +1 more
TL;DR: Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization, responding to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems.
Book
Level Set Methods and Dynamic Implicit Surfaces
Stanley Osher,Ronald Fedkiw +1 more
TL;DR: A student or researcher working in mathematics, computer graphics, science, or engineering interested in any dynamic moving front, which might change its topology or develop singularities, will find this book interesting and useful.
Journal ArticleDOI
A level set method for structural topology optimization
TL;DR: A new approach to structural topology optimization that represents the structural boundary by a level set model that is embedded in a scalar function of a higher dimension that demonstrates outstanding flexibility of handling topological changes, fidelity of boundary representation and degree of automation.
Journal ArticleDOI
A simple evolutionary procedure for structural optimization
Yi Min Xie,Grant P. Steven +1 more
TL;DR: In this paper, a simple evolutionary procedure is proposed for shape and layout optimization of structures, where low stressed material is progressively eliminated from the structure during the evolution process, and various examples are presented to illustrate the optimum structural shapes and layouts achieved by this procedure.
Journal ArticleDOI
Structural Boundary Design via Level Set and Immersed Interface Methods
TL;DR: An algorithmic approach to the boundary design of elastic structures which allows one to rapidly solve the two-dimensional Lam� equations in arbitrary domains and compute, for example, the stresses, and to develop a systematic way of modifying the design to optimize chosen properties.
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