Indexed by:
期刊论文
First Author:
Zhang, You-Wei
Correspondence Author:
Zhang, YW (reprint author), Dalian Univ Technol, Fac Vehicle Engn & Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116023, Peoples R China.
Co-author:
Zhao, Yan,Lin, Jia-Hao,Howson, W. P.,Williams, F. W.
Date of Publication:
2012-01-01
Journal:
LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES
Included Journals:
SCIE、Scopus
Document Type:
J
Volume:
9
Issue:
5
Page Number:
569-579
ISSN No.:
1679-7817
Key Words:
Infinitely periodic structure; Symplectic mathematics; Variable
separation; Pseudo-excitation method; Random vibration
Abstract:
A general symplectic method for the random response analysis of infinitely periodic structures subjected to stationary/non-stationary random excitations is developed using symplectic mathematics in conjunction with variable separation and the pseudo-excitation method (PEM). Starting from the equation of motion for a single loaded sub-structure, symplectic analysis is firstly used to eliminate the dependent degrees of the freedom through condensation. A Fourier expansion of the condensed equation of motion is then applied to separate the variables of time and wave number, thus enabling the necessary recurrence scheme to be developed. The random response is finally determined by implementing PEM. The proposed method is justified by comparison with results available in the literature and is then applied to a more complicated time-dependent coupled system.
Translation or Not:
no
