Abstract
In this paper, the analysis of the title problem is based on mixed first-order thick-beam one-dimensional plate theory, and on using a small-parameter approach towards its numerical solution. The boundary conditions at the edges of the beam may be quite general, and between these two edges the beam may have varying thickness. Closed-form solutions have been developed for the static response of orthotropic beams with nonlinear thickness variation subjected to uniform loading. The accuracy of the present model is demonstrated by problems for which exact solutions and numerical results are available, and the results are also presented for a variety of problems whose solutions are not available in the literature.
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Zenkour, A. Elastic behaviour of an orthotropic beam/one-dimensional plate of uniform and variable thickness. Journal of Engineering Mathematics 44, 331–344 (2002). https://doi.org/10.1023/A:1021255410184
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DOI: https://doi.org/10.1023/A:1021255410184