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TWO-PARAMETER OPTIMIZATION OF AN AXIALLY LOADED BEAM ON A FOUNDATION

✍ Scribed by A.S. Foryś

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
553 KB
Volume
199
Category
Article
ISSN
0022-460X

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✦ Synopsis

A beam of circular cross-section, made of viscoelastic material of Kelvin-Voigt type, is considered. The beam interacts with a foundation of Winkler, Pasternak or Hete´nyi type. Damping of the foundation is taken into account. The length and volume of the beam are fixed. The beam is symmetric with respect to its center and the radius of the beam is a quadratic function of the co-ordinate. The beam is axially loaded by a non-conservative force P(t) = P0 + P1 cos qt. The ends of the beam are simply supported. Only the first region of instability is considered. The shape of the beam is optimal if the critical value of the amplitude of the oscillating component of the loading is maximal. Numerical examples are presented on graphs and the results are compared with the results obtained for a linearly tapered beam.

📜 SIMILAR VOLUMES

Unbonded beams on a two-parameter founda
Unbonded beams on a two-parameter foundation
✍ Edward C. Ting 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 749 KB

Unbended beams supported by a foundation are studied. The foundation is assumed that tensile stresses cannot be transmitted across the interface between beams and their supporting subgrade. The subgrade is characterized by a two-parameter model proposed by Vlasov and Leont'ev, Pasternak and Pilonenk