RESPONSE OF UNCERTAIN NONLINEAR VIBRATION SYSTEMS WITH 2D MATRIX FUNCTIONS

Authors
WEN BC ZHANG YM LIU QL
Citation
Bc. Wen et al., RESPONSE OF UNCERTAIN NONLINEAR VIBRATION SYSTEMS WITH 2D MATRIX FUNCTIONS, Nonlinear dynamics, 15(2), 1998, pp. 179-190
Citations number
15
Categorie Soggetti
Mechanics,"Engineering, Mechanical
Journal title
Nonlinear dynamics → ACNP
ISSN journal
0924090X
Volume
15
Issue
2
Year of publication
1998
Pages
179 - 190
Database
ISI
SICI code
0924-090X(1998)15:2<179:ROUNVS>2.0.ZU;2-B
Abstract
This paper extends the response of uncertain nonlinear vibration syste ms to vector-valued and matrix-valued functions. Random variables and system derivatives are conveniently arranged into 2D matrices. The met hod is based on a second order expansion of the governing equations an d matrix calculus, Kronecker algebra are used in the mathematical deve lopment. The results derived are easily amenable to computational proc edures.