A New Optimization Approach in the Field of Structural-Acoustics

Freymann, Raymond; Stryczek, Roman

doi:10.4271/2000-01-0729

Cited by 4 publications

(3 citation statements)

References 7 publications

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“…So, the algorithm FFRA is extended to solve the modal frequency response problem of a modified configuration, which has full modal mass and stiffness matrices. The frequency response problem of the modified system in the modal correction approach is represented [27] as…”

Section: Modal Correction Approach For System With M K Not Diagonalimentioning

confidence: 99%

“…by the modal correction approach [27], in which the optimization algorithm is applied to the approximate model until appropriate design improvement is obtained. However, in the modal correction approach, the mass, stiffness and damping matrices of a modified configuration differ from those in Equation (1), which is related to the basic or original configuration.…”

Section: Modal Correction Approach For System With M K Not Diagonalimentioning

confidence: 99%

“…Equation (26) can be represented as (27) in which the coefficient matrix becomes a diagonal matrix plus low rank matrices, and…”

mentioning

confidence: 99%

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Fast frequency response analysis of large‐scale structures with non‐proportional damping

Kim¹,

Bennighof²

2006

Numerical Meth Engineering

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SUMMARYModal frequency response analysis is an economical approach for large and complex structural systems since there is an enormous reduction in dimension from the finite element frequency response problem. However, when non-proportional damping exists, the modal frequency response problem is expensive to solve at many frequencies because modal damping matrices are fully populated. This paper presents a new algorithm to solve the modal frequency response problem for large and complex structural systems with structural and viscous damping. The newly developed algorithm, fast frequency response analysis (FFRA) algorithm, solves the damped modal frequency response problem with O(m 2 ) operations at each frequency. Then the FFRA algorithm is extended for solving a system of equations in optimization application with the modal correction approach, in which the mass, stiffness and damping matrices of a modified configuration differ from the original configuration. Numerical results show that the FFRA algorithm dramatically improves the performance of the modal frequency response analysis compared to conventional methods in industry while obtaining the same accuracy.

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Section: Modal Correction Approach For System With M K Not Diagonalimentioning

confidence: 99%

Section: Modal Correction Approach For System With M K Not Diagonalimentioning

confidence: 99%