Uncoupling of dynamic equations for periodic structures

Uncoupling of dynamic equations for periodic structures

This paper is aimed at providing some explanation of the physical meaning and mathematical formulation of the U-transformation method, which has found many applications in obtaining solutions for structures with periodicity properties. The U-transformation was first derived from the mode method for...

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Veröffentlicht in:Journal of sound and vibration 1990-06, Vol.139 (2), p.253-263
Hauptverfasser: Cai, C.W., Cheung, Y.K., Chan, H.C.
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Sprache:eng
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Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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container_title Journal of sound and vibration
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creator Cai, C.W.
Cheung, Y.K.
Chan, H.C.
description This paper is aimed at providing some explanation of the physical meaning and mathematical formulation of the U-transformation method, which has found many applications in obtaining solutions for structures with periodicity properties. The U-transformation was first derived from the mode method for rotational periodic structures. The dynamic equation for cyclic periodic structures can be uncoupled in the domain of single substructure by U-transformation. It is then extended to the double U-transformation method for structures with cyclic periodicity in two directions. However, it should be noted that the method may also be applied to some one-way or two-way linear periodic structures.
doi_str_mv 10.1016/0022-460X(90)90886-5
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subjects Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
title Uncoupling of dynamic equations for periodic structures
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