Abstract
An approximate method of solution is constructed for the Robin problem in a finite domain, for the system governing the bending of elastic plates with transverse shear deformation. The structure of this generalized Fourier series technique is inspired by the form of the integral representation formula for the solution. A numerical example is also shown, which illustrates the accuracy and efficiency of the procedure.
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References
Constanda, C. and Doty, D.: Bending of Elastic Plates: Generalized Fourier Series Method, in Integral Methods in Science and Engineering. Vol.1: Theoretical Techniques, Birkhäuser, New York (2017), pp. 71–81. https://doi.org/10.1007/978-3-319-59384-5_7.
Constanda, C. and Doty, D.: Bending of Elastic Plates with Transverse Shear Deformation: The Neumann Problem, Mathematical Methods in the Applied Sciences, 2017, https://doi.org/10.1002/mma.4704.
Constanda, C.: Mathematical Methods for Elastic Plates, Springer, London (2014).
Trefethen, L.N.: Householder triangularization of a quasimatrix, IMA Journal of Numerical Analysis 30 (2010), 887–897.
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Constanda, C., Doty, D. (2019). Bending of Elastic Plates: Generalized Fourier Series Method for the Robin Problem. In: Constanda, C., Harris, P. (eds) Integral Methods in Science and Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-16077-7_8
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DOI: https://doi.org/10.1007/978-3-030-16077-7_8
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Publisher Name: Birkhäuser, Cham
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