Three-dimensional elasticity solutions for free vibrations of circular plates: A polynomials-Ritz analysis
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Publication:1971274
DOI10.1016/S0045-7825(98)00368-5zbMath0962.74079MaRDI QIDQ1971274
Publication date: 14 June 2001
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
convergencefree vibrationscylindrical coordinatesRitz methodcircular platesorthogonal polynomial serieslinear frequency equationperturbations of frequency responses
Plates (74K20) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)
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Cites Work
- Analytical, three-dimensional elasticity solutions to some plate problems, and some observations on Mindlin's plate theory
- Flexural vibration of shear deformable circular and annular plates on ring supports
- Research on thick plate vibration: a literature survey
- Natural frequencies of simply supported circular plates
- Natural Frequencies of Mindlin Circular Plates
- Axisymmetric Flexural Vibrations of a Thick Free Circular Plate
- Free Vibration Studies on Stress-Free Three-Dimensional Elastic Solids
- Vibration of Stress-Free Hollow Cylinders of Arbitrary Cross Section
- Analysis of Heterogeneous Anisotropic Plates
- An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates
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