Analysis of Rear-End Crash on Thai Highway: Decision Tree Approach
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Author list: Champahom T., Jomnonkwao S., Chatpattananan V., Karoonsoontawong A., Ratanavaraha V.
Publisher: Elsevier
Publication year: 2019
Journal: International Journal of Mechanical Sciences (0020-7403)
Volume number: 2019
ISSN: 0020-7403
eISSN: 1879-2162
Languages: English-Great Britain (EN-GB)
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Abstract
Attributable to their complexity the problems of a beam resting on a multi-layered foundation (BMF) have not gain sufficient attention from researchers compared to those of a beam placing on a single-layered foundation (BSF). Although they are as significantly important in engineering disciplines, few scientific articles regarding BMF were published so far. Thus, this paper is aimed to establish an effective analytical approach to study a Timoshenko beam on a multi-layered elastic foundation. Comprehensive types of beam/foundation as well as a variety of load conditions are presented. The mathematical model of BMF is developed based on a symplectic dual equation, which is derived from the Hamiltonian principle associated with the Legendre transformation. The vertical deformations of the multi-layered foundation are assumed as the linear combination of the products of the vertical deformation at layer interface and the corresponding transverse distribution function. Variational method and iterative technique are utilized to formulate and solve for the distribution functions. Discretizing each layer in the foundation into sublayers is proposed to obtain more accurate deformation and stress responses. Compared to the finite element method, this article provides a highly reliable and effective analytical approach to investigate BMF problems. ฉ 2019 Elsevier Ltd
Keywords
Beam on elastic foundation, Eigenexpansion, Multi-layered foundation, Symplectic elasticity, Timoshenko beam
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