Topology optimization for elastic base under rectangular plate subjected to moving load

• Autorzy: Jilavyan S. H. , Khurshudyan A. Zh.

Identyfikatory

DOI

10.1515/acsc-2015-0019

• Języki publikacji: EN

Abstrakty

EN

Distribution optimization of elastic material under elastic isotropic rectangular thin plate subjected to concentrated moving load is investigated in the present paper. The aim of optimization is to damp its vibrations in finite (fixed) time. Accepting Kirchhoff hypothesis with respect to the plate and Winkler hypothesis with respect to the base, the mathematical model of the problem is constructed as two–dimensional bilinear equation, i.e. linear in state and control function. The maximal quantity of the base material is taken as optimality criterion to be minimized. The Fourier distributional transform and the Bubnov–Galerkin procedures are used to reduce the problem to integral equality type constraints. The explicit solution in terms of two–dimensional Heaviside‘s function is obtained, describing piecewise–continuous distribution of the material. The determination of the switching points is reduced to a problem of nonlinear programming. Data from numerical analysis are presented.

Słowa kluczowe

EN

distributed system; moving load; Kirchhoff plate; Winkler base; topology optimization; problem of moments; L∞-optimal control; distributions; Bubnov–Galerkin procedure

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2015
• Tom: Vol. 25, no. 3
• Strony: 289--305
• Opis fizyczny: Bibliogr. 29 poz., rys., tab., wzory

Twórcy

autor

Jilavyan S. H.

• Faculty of Mathematics and Mechanics, Yerevan State University. 1 Alex Manoogian str., 0025, Armenia

autor

Khurshudyan A. Zh.

• Faculty of Mathematics and Mechanics, Yerevan State University. 1 Alex Manoogian str., 0025, Armenia

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