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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