Journal ArticleDOI
Optimization of structures with multiple frequency constraints
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TLDR
In this paper, the problem of designing a structure with multiple frequency constraints by using an optimality criterion method was investigated, where the frequency constraints include the condition that the frequencies are equal or separated by a specified interval with a preselected vibration mode associated with the fundamental frequency.About:
This article is published in Computers & Structures.The article was published on 1985-01-01. It has received 68 citations till now. The article focuses on the topics: Fundamental frequency & Optimality criterion.read more
Citations
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Journal ArticleDOI
Structural optimization with frequency constraints
TL;DR: In this article, a design optimization algorithm for structural weight minimization with multiple frequency constraints was presented, where an optimality criterion based on uniform Lagrangian density for resizing and a scaling procedure to locate the constraint boundary were used in optimization.
Journal ArticleDOI
Truss Optimization on Shape and Sizing with Frequency Constraints
TL;DR: In this article, an optimality criteria algorithm is presented for three-dimentional truss structure optimization with multiple constraints on its natural frequencies, where nodal coordinates and element cross-sectional areas are treated simultaneously in a unified design space for structural weight minimization.
Journal ArticleDOI
Structural design for obtaining desired eigenfrequencies by using the topology and shape optimization method
TL;DR: In this article, a topology and shape optimization method for structural eigenfrequency optimization problems using the concept of Optimal Material Distribution (OMD) is presented, which can be used to deal with a wide range of practical design problems for improving the dynamic nature of a structure.
Journal ArticleDOI
Topology optimization: a review for structural designs under vibration problems
TL;DR: A comprehensive review of structural optimization employing topology methods for structures under vibration problems is provided in this paper, which is largely confined to linear systems that concern small vibration amplitudes, and the works related to vibration topological optimization are classified according to the method employed (homogenization, evolutionary structural optimization, solid isotropic material with penalization, or level set).
References
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Book
Numerical methods in finite element analysis
TL;DR: Numerical methods in finite element analysis, Numerical techniques in finite elements analysis, and so on.
Journal ArticleDOI
Structural optimization: A review and some recommendations
TL;DR: A brief review of the structural optimization literature and a description of the present status of optimization methods are presented and some conclusions and recommendations for future developments in structural optimization are presented.
Journal ArticleDOI
Comparison of Optimality Criteria Algorithms for Minimum Weight Design of Structures
TL;DR: This paper presents a comparison of frequently used optimization algorithms based on optimality criteria to design a minimum weight structure, and presents a new iterative scheme, similar to Newton-Raphson, that can be obtained with a smaller number of analyses of the structure than with previously proposed methods.
Journal ArticleDOI
Structural optimization on geometrical configuration and element sizing with statical and dynamical constraints
Jiahao Lin,W. Y. Che,Y. S. Yu +2 more
TL;DR: In this paper, a bi-factor α-β algorithm based on the Kuhn-Tucker criteria is presented for the minimal weight design of a structure under statical and dynamical constraints.
Journal ArticleDOI
A survey of optimal structural design under dynamic constraints
TL;DR: In this paper, a review of structural optimization subject to dynamic constraints is presented, and suggestions for further work are offered, both methods for handling constraints on natural frequencies and methods for treating the more difficult constraints on quantities directly related to the dynamic response are discussed.
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