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Keywords: Ritz Method
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Journal Articles

Coupling Ritz Method and Triangular Quadrature Rule for Moving Mass Problem

S. A. Eftekhari, A. A. Jafari
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2012, 79(2): 021018.
https://doi.org/10.1115/1.4005577
Published Online: February 24, 2012
...S. A. Eftekhari; A. A. Jafari In this paper, a mixed method that combines the Ritz method and the triangular quadrature rule (TQR) is presented for solving time-dependent problems. In this study, the Ritz method is first used to discretize the spatial partial derivatives. The TQR is then employed...
View Article titled, Coupling <span class="search-highlight">Ritz</span> <span class="search-highlight">Method</span> and Triangular Quadrature Rule for Moving Mass Problem
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Topics: Algorithms, Pavement live loads, Stress, Vibration, Damping, Errors, Stability, Inertia (Mechanics), Algebra, Approximation
Journal Articles

Three-Dimensional Vibration Analysis of Toroidal Sectors With Solid Circular Cross-Sections

D. Zhou, Y. K. Cheung, S. H. Lo
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. July 2010, 77(4): 041002.
https://doi.org/10.1115/1.4000906
Published Online: March 31, 2010
... Analysis of Solid And Hollow Circular Cylinders via Chebyshev–Ritz Method ,” Comput. Methods Appl. Mech. Eng. 0045-7825 , 192 , pp. 1575 – 1589 . 10.1016/S0045-7825(02)00643-6 Zhou , D. , Au , F. T. K. , Lo , S. H. , and Cheung , Y. K. , 2002 , “ Three-Dimensional Vibration...
View Article titled, Three-Dimensional Vibration Analysis of Toroidal Sectors With Solid Circular Cross-Sections
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Topics: Cross section (Physics), Elasticity, Polynomials, Vibration, Displacement, Vibration analysis, Stress, Free vibrations
Journal Articles

Three-Dimensional Vibration Analysis of Rectangular Plates With Mixed Boundary Conditions

D. Zhou, Y. K. Cheung, S. H. Lo, F. T. K. Au
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Article
J. Appl. Mech. March 2005, 72(2): 227–236.
https://doi.org/10.1115/1.1827250
Published Online: March 15, 2005
... Mixed Boundary Conditions R-Function Ritz Method Thick Rectangular Plate Three-Dimensional Vibration Both the classical thin plate theory and moderately thick plate theory are approximate theories by imposing some assumptions on the deformation of a plate, especially on the strain...
View Article titled, Three-Dimensional Vibration Analysis of Rectangular Plates With Mixed Boundary Conditions
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Topics: Boundary-value problems, Corners (Structural elements), Plates (structures), Vibration, Elasticity, Polynomials, Vibration analysis