The generalized differential quadrature rule for fourth-order differential equations
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Publication:2712693
DOI10.1002/nme.102zbMath0999.74120OpenAlexW2079279334MaRDI QIDQ2712693
No author found.
Publication date: 20 August 2001
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.102
error analysisrectangular platesfourth-order differential equationsBernoulli-Euler beamsgeneralized differential quadrature rule
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)
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Cites Work
- Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods
- Harmonic differential quadrature method and applications to analysis of structural components
- Differential quadrature and longterm integration
- THE GENERALIZED DIFFERENTIAL QUADRATURE RULE FOR INITIAL-VALUE DIFFERENTIAL EQUATIONS
- FREE VIBRATION OF PLATES BY THE HIGH ACCURACY QUADRATURE ELEMENT METHOD
- Application of differential quadrature to static analysis of structural components
- Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
- Static and free vibrational analysis of rectangular plates by the differential quadrature element method
- A NEW APPROACH TO THE DIFFERENTIAL QUADRATURE METHOD FOR FOURTH-ORDER EQUATIONS
- The free vibration of rectangular plates
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