✦ LIBER ✦

Optimal design of uniform non-homogeneous vibrating beams

✍ Scribed by V.K. Gupta; P.N. Murthy

Publisher: Elsevier Science
Year: 1978
Tongue: English
Weight: 456 KB
Volume: 59
Category: Article
ISSN: 0022-460X
DOI: 10.1016/s0022-460x(78)80132-1

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✦ Synopsis

The problem of optimal design of unifornl non-homogeneous beams undergoing transverse vibrations is investigated. The optimal longitudinal modulus distribution is sought to produce the maximum value of fundamental frequency for a beam of given mass and geometry. Governing equations are obtained by using an optimal control theory approach. Solutions are presented for hinged-hinged, frce-clamped, clamped-clamped and clamped-hinged end-conditions.

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