Publication Date:
2012-04-18
Description:
Simply supported rectangular Kirchhoff-plates with two-parametric Pasternak-type foundation are studied under the action of a transient temperature moment, which is span-wise constant. In extension to a previous study it can be shown, that an excellent convergence of the series solutions of the static problem can be achieved by means of Kummer's transformation and Cesaro's generalized C 1 -Summation. The convergence improvement of the other types of the solutions can be performed analogously. The dynamic solution for the deflection and shear forces is computed using the derived efficient solution for the quasi-static case with fast convergent Fourier series. Modal expansion is applied for the computation of the vibrations about this quasi-static part. The results of he analytical solution for defined parameters of the foundation are shown for some characteristic points of the plate and compared to the FE computation results . (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
Electronic ISSN:
1617-7061
Topics:
Mathematics
,
Physics
,
Technology
