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Optimum design of structures with both natural frequency and frequency response constraints
Author(s) -
Chen TingYu
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620330910
Subject(s) - eigenvalues and eigenvectors , natural frequency , sensitivity (control systems) , frequency response , mathematics , process (computing) , mathematical optimization , computer science , algorithm , vibration , engineering , acoustics , physics , electronic engineering , electrical engineering , quantum mechanics , operating system
An efficient method is developed to compute the sensitivities of eigenvalues, eigenvectors and frequency responses in a reduced approximate rnodel. The reanalyses of a modified structure for those dynamic responses are also derived in the approximate model. An optimization process utilizing the efficiently calculated sensitivities and reanalyses of the modified structure is formed. The difficulties of finding eigenvector sensitivities for repeated modes have also been addressed and averted in the approximate model. Two numerical examples show satisfactory outcomes by using this proposed approach.