DIFFERENTIAL QUADRATURE METHOD: APPLICATION TO INITIAL- BOUNDARY-VALUE PROBLEMS

Two non-linear dynamical systems have been considered. In both cases, the governing equation of motion is reduced to two second-order non-linear non-autonomous ordinary differential equations using the differential quadrature method with a careful distribution of sampling points. To check the numeri...

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Bibliographic Details
Published in:Journal of sound and vibration Vol. 218; no. 4; pp. 573 - 585
Main Author: Tomasiello, S.
Format: Journal Article
Language:English
Published: London Elsevier Ltd 10.12.1998
Elsevier
Subjects:
analysis
BEAMS (SUPPORTS)
BOUNDARY VALUE PROBLEMS
CLAMPED STRUCTURES
DYNAMICAL SYSTEMS
EQUATIONS OF MOTION
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
INTERPOLATION
Mathematical methods in physics
NONLINEAR SYSTEMS
Numerical approximation and analysis
Ordinary and partial differential equations, boundary value problems
Physics
QUADRATURES
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
Quadrature
Boundary value problem
Vibration
Initial value problem
Numerical method
Differential method
Elastic foundations
Beam(mechanics)
Structural analysis
ISSN:0022-460X, 1095-8568
Online Access:Get full text
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Summary:Two non-linear dynamical systems have been considered. In both cases, the governing equation of motion is reduced to two second-order non-linear non-autonomous ordinary differential equations using the differential quadrature method with a careful distribution of sampling points. To check the numerical results, a comparison with those obtained using the Galerkin approach is proposed.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.1998.1833