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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| Published in: | Journal of sound and vibration Vol. 218; no. 4; pp. 573 - 585 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
London
Elsevier Ltd
10.12.1998
Elsevier |
| Subjects: | |
| ISSN: | 0022-460X, 1095-8568 |
| Online Access: | Get full text |
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| Abstract | 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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| AbstractList | 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. |
| Author | Tomasiello, S. |
| Author_xml | – sequence: 1 givenname: S. surname: Tomasiello fullname: Tomasiello, S. organization: DiSGG, Faculty of Engineering, University of Basilicata, Via della Tecnica 3, 85100 Potenza, Italy |
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| Keywords | Quadrature Boundary value problem Vibration Initial value problem Numerical method Differential method Elastic foundations Beam(mechanics) Structural analysis |
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| Snippet | 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... |
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| SubjectTerms | 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 |
| Title | DIFFERENTIAL QUADRATURE METHOD: APPLICATION TO INITIAL- BOUNDARY-VALUE PROBLEMS |
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