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Keywords: nonuniform shear deformable axisymmetric orthotropic circular plates, two-parameter elastic foundation, differential quadrature element method, differential quadrature model.

Summary

The differential quadrature element method (DQEM) has been developed for solving various engineering and scientific problems [1]. Generalized DQ methods can also be used for the DQEM analysis [2,3,4,5,6].

The analysis of nonuniform shear deformable axisymmetric orthotropic circular plates resting on a two-parameter foundation is frequently necessary in modern engineering design. Certain numerical methods can be used to solve this Pasternak type structural problem. A rather efficient method that can be used is the DQEM.

The development of the differential quadrature element method (DQEM) of solution for nonuniform shear deformable axisymmetric orthotropic circular plates resting on a two-parameter elastic foundation was carried out. The DQEM uses the DQ model to discretize the governing differential equations defined for each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithms are presented. The convergence of the DQEM analysis models developed is efficient.

References

1: C.N. Chen, "A Differential Quadrature Element Method", Proceedings of the First International Conference on Engineering Computation and Computer Simulation, Changsha, China, 25-34, 1995.
2: C.N. Chen, "The Timoshenko Beam Model of the Differential Quadrature Element Method", Comput. Mech., 24(1), 65-69, 1999. doi:10.1007/s004660050438
3: C.N. Chen, "Discrete Element Analysis Methods of Generic Differential Quadratures", Series of Lecture Notes in Applied Computational Mechanics, 25, Springer, Berlin, Germany, 2006.
4: C.N. Chen, "Generalization of Differential Quadrature Discretization", Num. Alg., 22, 167-182, 1999. doi:10.1023/A:1019158808017
5: C.N. Chen, "Extended Differential Quadrature", Proceedings of the Sixth Pan-American Congress of Applied Mechanics, Rio de Janeiro, Brazil, 6, 389-392, 1998.
6: C.N. Chen, "Differential Quadrature Finite Difference Method for Structural Mechanics Problems", Comm. Num. Meth. Engrg., 17, 423-441, 2001. doi:10.1002/cnm.418

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 93 PROCEEDINGS OF THE TENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 244 Nonuniform Shear Deformable Axisymmetric Orthotropic Circular Plates Resting on a Two-Parameter Elastic Foundation Solved using the DQEM with a DQ Model C.N. Chen Department of Systems and Naval Mechatronic Engineering, National Cheng Kung University, Tainan, Taiwan doi:10.4203/ccp.93.244 purchase the full-text of this paper Full Bibliographic Reference for this paper C.N. Chen, "Nonuniform Shear Deformable Axisymmetric Orthotropic Circular Plates Resting on a Two-Parameter Elastic Foundation Solved using the DQEM with a DQ Model", in , (Editors), "Proceedings of the Tenth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 244, 2010. doi:10.4203/ccp.93.244 Keywords: nonuniform shear deformable axisymmetric orthotropic circular plates, two-parameter elastic foundation, differential quadrature element method, differential quadrature model. Summary The differential quadrature element method (DQEM) has been developed for solving various engineering and scientific problems [1]. Generalized DQ methods can also be used for the DQEM analysis [2,3,4,5,6]. The analysis of nonuniform shear deformable axisymmetric orthotropic circular plates resting on a two-parameter foundation is frequently necessary in modern engineering design. Certain numerical methods can be used to solve this Pasternak type structural problem. A rather efficient method that can be used is the DQEM. The development of the differential quadrature element method (DQEM) of solution for nonuniform shear deformable axisymmetric orthotropic circular plates resting on a two-parameter elastic foundation was carried out. The DQEM uses the DQ model to discretize the governing differential equations defined for each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithms are presented. The convergence of the DQEM analysis models developed is efficient. References 1 C.N. Chen, "A Differential Quadrature Element Method", Proceedings of the First International Conference on Engineering Computation and Computer Simulation, Changsha, China, 25-34, 1995. 2 C.N. Chen, "The Timoshenko Beam Model of the Differential Quadrature Element Method", Comput. Mech., 24(1), 65-69, 1999. doi:10.1007/s004660050438 3 C.N. Chen, "Discrete Element Analysis Methods of Generic Differential Quadratures", Series of Lecture Notes in Applied Computational Mechanics, 25, Springer, Berlin, Germany, 2006. 4 C.N. Chen, "Generalization of Differential Quadrature Discretization", Num. Alg., 22, 167-182, 1999. doi:10.1023/A:1019158808017 5 C.N. Chen, "Extended Differential Quadrature", Proceedings of the Sixth Pan-American Congress of Applied Mechanics, Rio de Janeiro, Brazil, 6, 389-392, 1998. 6 C.N. Chen, "Differential Quadrature Finite Difference Method for Structural Mechanics Problems", Comm. Num. Meth. Engrg., 17, 423-441, 2001. doi:10.1002/cnm.418 purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £145 +P&P)
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