Unified Solution on Skew Plate Bending with Four Edges Supported under Arbitrary Load
According to the bending equation and boundary conditions of skew plate in the oblique coordinates system parallel to the edge of the plate, expanding deflection and load into form of Fourier series, the paper derives and obtains unified solution of bending problem for the four-edge-supported skew plate under arbitrary load. Programmed and calculated by mathematica language, the paper also comes with deflections and moments under the condition of any oblique angles, ratios of side length and Poisson ratios. The results of the paper is compared with those by the finite element method in the example, and they’re in good agreement with each other. The paper extends the bending theory of rectangular plate to the skew plate of any angle. The theory being reliable and the result being accurate, the research of the paper can provide reference for engineering design.
Chaohe Chen, Yong Huang and Guangfan Li
L. Cao et al., "Unified Solution on Skew Plate Bending with Four Edges Supported under Arbitrary Load", Advanced Materials Research, Vols. 243-249, pp. 5994-5998, 2011