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OPTIMIZATION OF PARAMETRICALLY EXCITED MECHANICAL SYSTEMS AGAINST LOSS OF DYNAMIC STABILITY

✍ Scribed by A. FORYŚ

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
218 KB
Volume
226
Category
Article
ISSN
0022-460X

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✦ Synopsis

In this paper a variational formulation of optimization problems for mechanical elements like bars or plates, subjected to a parametric excitation force, periodic in time is given. Objective functions characterizing the parametric resonance are introduced. The paper deals with the problem of "nding the control function*function of the shape (the area of cross-section of the beam or the thickness of the plate) which maximizes or minimizes one of the objective functions under the constraint of constant volume. In some cases the optimization problems under conditions of parametric resonance resolve into optimization problems with respect to natural frequency. The examples of variational optimization against loss of stability are solved and analyzed in the state of parametric periodic resonance.

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