Eigenvalue Sensitivity Analysis for a Combined Beam Structure with Varying Constraints | Zendy

Kwang-Min Won | Zendy; Youn-sik Park | Zendy

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Eigenvalue Sensitivity Analysis for a Combined Beam Structure with Varying Constraints

Author(s) -

Kwang-Min Won,

Youn-sik Park

Publication year - 1997

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/1997/432457

Subject(s) - eigenvalues and eigenvectors , sensitivity (control systems) , lagrange multiplier , mathematics , beam (structure) , vibration , orientation (vector space) , mathematical analysis , geometry , structural engineering , physics , mathematical optimization , engineering , acoustics , electronic engineering , quantum mechanics

An eigenvalue sensitivity formula for a combined beam structure due to the variation of its shape or joint coordinates is proposed based on the Lagrange multiplier technique for a free vibration equation of the structure. The shape variation is decomposed into the length and the orientation variation of each beam to obtain individual effects on the total sensitivity. The sensitivity equations due to the length and the orientation variations are expressed as an energy density form and the cross product of joint forces and displacements respectively. Several numerical examples are also presented to validate the proposed formulation and to show how to implement the idea.

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