glise 发表于 2006-6-2 08:08

[分享]Reduced-order models for nonlinear vibrations

Reduced-order models for nonlinear vibrations of cylindrical shells via the proper orthogonal decomposition method

hnayao 发表于 2006-6-20 21:08

谢谢

欧阳中华 发表于 2006-6-21 08:06

本帖最后由 VibInfo 于 2016-4-25 15:12 编辑

　　Journal of Fluids and Structures 18 (2003) 227–250

　　Reduced-order models for nonlinear vibrations of cylindrical

　　shells via the proper orthogonal decomposition method

　　Abstract

　　The nonlinear (large-amplitude) response of perfect and imperfect, simplysupported circular cylindrical shells to harmonic excitation in the spectral neighbourhood of some of their lowest natural frequencies is investigated. The shell is assumed to be completelyfilled with an incompressible and inviscid fluid at rest. Donnell’s nonlinear shallow-shell theoryis used, and the solution is obtained bythe Galerkin method. The proper orthogonal decomposition (POD) method is used to extract proper orthogonal modes that describe the system behaviour from time-series esponse data. These time series have been obtained via the conventional Galerkin approach (using normal modes as a projection basis) with an accurate model involving 16 degrees of freedom, validated in previous studies. The POD method, in conjunction with the Galerkin approach, permits a lower-dimensional model as compared to those obt ainable via the conventional Galerkin pproach. Different proper orthogonal modes computed from time series at different excitation frequencies are used and solutions are compared. Some of these sets of modes are capable of describing the system behaviour over the whole frequencyrange around the fundamental resonance with good accuracy and with only3 degrees of freedom. Theyallow a drastic reduction in the computational effort, as compared to using the 16 degree-offreedom model necessarywhen the conventional Galerkin approach is used. r 2003 Elsevier Ltd. All rights reserved.

　　这样是不是更具体一些....

　　

FSI 发表于 2006-6-23 09:05

POD是基于KL主分量分析方法的,最近几年的文献里面用的不少。

FSI 发表于 2006-6-25 21:24

本帖最后由 VibInfo 于 2016-4-25 15:13 编辑

　　看看这个，POD作流场分析的程序，你一定有兴趣的

　　http://www.csit.fsu.edu/~burkardt/f_src/pod_basis_flow/pod_basis_flow.html

jiong168 发表于 2006-6-26 10:49

学习

tangjikede 发表于 2006-7-21 11:26

xiee

林岛 发表于 2006-7-21 12:32

ding

suesima 发表于 2006-7-21 16:48

多谢，收之
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