Engineering Transactions, 55, 2, pp. 101–113, 2007
10.24423/engtrans.222.2007

Three-Parameter Optimization of an Axially Loaded Beam on a Foundation

A. S. FORYŚ
Institute of Physics, Cracow University of Technology
Poland

A. FORYŚ
Institute of Physics, Cracow University of Technology
Poland

A beam of circular cross-section, made of viscoelastic material of Kelvin–Voigt type, is considered. The beam is symmetric with respect to its center, the length and volume of the beam are fixed and its ends are simply supported. The radius of the cross-section is a cubic function of co-ordinate. The beam interacts with a foundation of Winkler, Pasternak or Hetényi type and is axially loaded by a non-conservative force P(t) = P0 + P1 cos #t. Only the first instability region is taken into account. The shape of the beam is optimal if the critical value of P1 is maximal. A few numerical examples are presented on graphs.
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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

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DOI: 10.24423/engtrans.222.2007