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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.