Journal ArticleDOI
Optimal structural design under multiple eigenvalue constraints
TLDR
In this article, the authors investigated the existence of singularity in the design space of a two-degree-of-freedom system and provided necessary and sufficient conditions for local and global optimality.About:
This article is published in International Journal of Solids and Structures.The article was published on 1984-01-01. It has received 93 citations till now. The article focuses on the topics: Eigenvalues and eigenvectors & Subspace topology.read more
Citations
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Journal ArticleDOI
Multiple eigenvalues in structural optimization problems
TL;DR: In this article, the authors discuss characteristic features and inherent difficulties pertaining to the lack of usual differentiability properties in problems of sensitivity analysis and optimum structural design with respect to multiple eigenvalues.
Journal ArticleDOI
Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps
Jianbin Du,Niels Olhoff +1 more
TL;DR: In this article, different approaches are considered and discussed for topology optimization involving simple and multiple eigenfrequencies of linearly elastic structures without damping, and several illustrative results are presented.
Journal ArticleDOI
Optimum topology and reinforcement design of disk and plate structures with multiple stiffness and eigenfrequency objectives
L. A. Krog,Niels Olhoff +1 more
TL;DR: In this article, the authors deal with topology optimization of statically loaded or freely vibrating disk and plate structures, and with layout optimization of different types of integral rib-reinforcement of plates.
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On the optimal design of columns against buckling
Steven J. Cox,Michael L. Overton +1 more
TL;DR: In this paper, the authors established existence, derived necessary conditions, infer regularity, and construct and test an algorithm for the maximization of a column's Euler buckling load under a variety of boundary conditions over a general class of admissible designs.
References
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Journal ArticleDOI
Problems of Optimal Structural Design
William Prager,J. E. Taylor +1 more
TL;DR: Optimal sandwich structure design for stiffness, natural frequency, buckling load and safety through plasticity is discussed in this paper, where the optimal sandwich structure is optimized for stiffness and natural frequency.
Journal ArticleDOI
Strongest Columns and Isoperimetric Inequalities for Eigenvalues
I. Tadjbakhsh,Joseph B. Keller +1 more
TL;DR: In this paper, the authors considered the problem of determining what shape column has the largest critical buckling load of all columns of given length and volume, assuming that all cross sections of the column are similar and similarly oriented.
Journal ArticleDOI
On single and bimodal optimum buckling loads of clamped columns
TL;DR: In this article, the problem of determining the optimum shape of a thin, elastic, clamped column of given length and volume, such that the fundamental buckling load is a maximum was studied.
Journal ArticleDOI
Design Sensitivity Analysis in Structural Mechanics.II. Eigenvalue Variations
Edward J. Haug,B. Rousselet +1 more
TL;DR: In this paper, the dependence of eigenvalues of boundary-value operators of structural mechanics on design variables that specify material properties and distribution is characterized, including vibration of strings, membranes, beams, plates, and plane elastic slabs and buckling of beams.
Journal ArticleDOI
Optimum Stiffness and Strength of Elastic Structures
TL;DR: In this article, the stiffness of elastic structures is extended to a broader class of structures, such as trusses and bars, and the effect of local stiffness optimality is investigated.
Related Papers (5)
On single and bimodal optimum buckling loads of clamped columns
Strongest Columns and Isoperimetric Inequalities for Eigenvalues
I. Tadjbakhsh,Joseph B. Keller +1 more