Journal ArticleDOI
Sliding regimes and anisotropy in optimal design of vibrating axisymmetric plates
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TLDR
In this paper, the optimal design of axisymmetric plates performing free, transverse vibrations has been studied, where the plate thickness distribution is determined from the condition that the plate volume is minimized for a given value of the fundamental natural frequency, or for a higher order natural frequency that corresponds to a vibration mode with a prescribed number of nodal diameters.About:
This article is published in International Journal of Solids and Structures.The article was published on 1981-01-01. It has received 61 citations till now. The article focuses on the topics: Bending of plates & Optimal design.read more
Citations
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Optimal shape design as a material distribution problem
TL;DR: In this article, various ways of removing this discrete nature of the problem by the introduction of a density function that is a continuous design variable are described. But none of these methods can be used for shape optimization in a general setting.
Journal ArticleDOI
The COC algorithm, Part II: Topological, geometrical and generalized shape optimization
Ming Zhou,George I. N. Rozvany +1 more
TL;DR: In this paper, the COC algorithm is applied to the simultaneous optimization of the topology and geometry of trusses with many thousand potential members, and numerical results obtained are shown to be in close agreement with analytical results.
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Topology optimization of continuum structures: A review*
Hans A. Eschenauer,Niels Olhoff +1 more
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An investigation concerning optimal design of solid elastic plates
Keng-Tung Cheng,Niels Olhoff +1 more
TL;DR: In this article, the problem of maximizing the integral stiffness of solid elastic plates described by thin plate theory is considered and an efficient and quite general numerical algorithm by means of which a number of stationary solutions for rectangular and axisymmetric annular plates with various boundary conditions are obtained.
Journal ArticleDOI
Design sensitivity analysis: Overview and review
TL;DR: In this article, the state of the art in sensitivity analysis for linear elliptic systems is reviewed and a simple two-degree-of-freedom spring system is employed to exemplify the sensitivity analyses.
References
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Journal ArticleDOI
An investigation concerning optimal design of solid elastic plates
Keng-Tung Cheng,Niels Olhoff +1 more
TL;DR: In this article, the problem of maximizing the integral stiffness of solid elastic plates described by thin plate theory is considered and an efficient and quite general numerical algorithm by means of which a number of stationary solutions for rectangular and axisymmetric annular plates with various boundary conditions are obtained.
Journal ArticleDOI
Optimal design of vibrating circular plates
TL;DR: In this paper, the shape of a rotationally symmetric plate is determined so that its first natural frequency of transverse vibrations becomes optimal, and the corresponding mathematical problem is shown to be an ordinary, fourth order, nonlinear and singular, but homogeneous eigenvalue problem.
Journal ArticleDOI
Optimal design of vibrating rectangular plates
TL;DR: In this article, the authors derived the deflection function corresponding to the optimal plate thickness function from a non-linear, fourth order partial differential eigenvalue problem, derived by variational analysis.
Journal ArticleDOI
On non-smoothness in optimal design of solid, elastic plates
TL;DR: In this paper, the authors proposed a new plate model, where a uniform plate is equipped with an infinite number of infinitely thin integral stiffeners, and numerical and analytical investigations of a new formulation of the minimum compliance design problem for thin, solid, elastic plates are carried out.
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