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Exact analysis of simply supported rhombic plates under uniform pressure

  • K. Rajaiah (a1) and Akella Kameswara Rao (a1)

The simply supported rhombic plate under transverse load has received extensive attention from elasticians, applied mathematicians and engineers. All known solutions are based on approximate procedures. Now, an exact solution in a fast converging explicit series form is derived for this problem, by applying Stevenson's tentative approach with complex variables. Numerical values for the central deflexion and moments are obtained for various corner angles. The present solution provides a basis for assessing the accuracy of approximate methods for analysing problems of skew plates or domains.

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(1) B. D. Aggarwala Bending of rhombic plates. Quart. J. Mech. Appl. Math. 19 (1966), 7982.

(12) K. Rajaiah and A. K. Rao Effect of boundary condition description on convergence of solution in a boundary value problem. J. Computational Phys. 3 (1968), 190201.

(16) A. C. Stevenson The boundary couples in thin plates. Philos. May. 34 (1943), 105114.

(17) W. E. Warren Bending of rhombic plates. AIAA J. 2 (1964), 166167.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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