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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Vydáno v:Journal of sound and vibration Ročník 218; číslo 4; s. 573 - 585
Hlavní autor: Tomasiello, S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: London Elsevier Ltd 10.12.1998
Elsevier
Témata:
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
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Popis
Shrnutí: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.
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content type line 23
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.1998.1833