Bending analysis of circular thin plates resting on elastic foundations using two modified Vlasov models
type: Item
instance of: scholarly article
title: Bending analysis of circular thin plates resting on elastic foundations using two modified Vlasov models
zbMATH Open document ID: 1459.74115
DOI: 10.1155/2020/2345347
author: Feng Yue
author: Senqing Jia
author: Ziyan Wu
author: Zhen Wang
author: Fu-Sheng Wang
published in: Mathematical Problems in Engineering
publication date: 2020-07-23T00:00:00Z
review text: Summary: The influence of soil heterogeneity is studied on the bending of circular thin plates using two modified Vlasov foundation models. The model parameters are determined reasonably using an iterative technique. According to the principle of minimum potential energy and considering transversely isotropic soils and Gibson soils, the governing differential equations and boundary conditions for circular thin plates on two modified Vlasov foundations are derived using a variational approach, respectively. The determination of attenuation parameters is a difficult problem, which has hindered the further application of the Vlasov foundation model. The equation that must be satisfied by the attenuation parameter is determined, and an iterative method is used to solve the problem. A comparative analysis is conducted between two modified Vlasov models and the traditional Vlasov model. The results show that the governing equations and boundary conditions for circular thin plates resting on two modified foundations are consistent with those for a circular thin plate on traditional two-parameter foundation after degradation. The accuracy and reliability of the proposed solutions are demonstrated by comparing the obtained results with those reported in the literature. The heterogeneity of soils, including the transversely isotropic soils and Gibson soils, has a certain effect on characteristic parameters of the foundation models as well as the deformations and internal forces of circular thin plates. The present study could be employed as a reference for future engineering designs.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74L10
zbMATH DE Number: 7224347
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/2345347
OpenAlex ID: W3040416769
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description: scientific article; zbMATH DE number 7224347