Unimodal and bimodal optimal design of extensible arches with respect to buckling and vibrations | Zendy

Blachut Jan | Zendy; Gajewski Antoni | Zendy

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Unimodal and bimodal optimal design of extensible arches with respect to buckling and vibrations

Author(s) -

Blachut Jan,

Gajewski Antoni

Publication year - 1981

Publication title -

optimal control applications and methods

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.458

H-Index - 44

eISSN - 1099-1514

pISSN - 0143-2087

DOI - 10.1002/oca.4660020406

Subject(s) - arch , buckling , vibration , structural engineering , optimal design , pontryagin's minimum principle , volume (thermodynamics) , extensibility , mathematics , computer science , mathematical optimization , engineering , physics , optimal control , acoustics , statistics , quantum mechanics , operating system

The problem of determining the optimal cross‐sectional area function along an extensible arch so as to minimize the total volume under given external pressure, fixed frequency, and geometrical constraints is investigated by use of the Pontryagin maximum principle. The optimal design of a clamped‐clamped arch is presented in detail. Optimization with respect to buckling load is also considered.

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