Results 141 to 150 of about 117,906 (198)

Elastic and Viscoelastic Foundation Models

Journal of Applied Mechanics, 1964
The present paper contains a critical study of a number of foundation models as well as a further development of some of the ideas involved. Among others it is shown that the Pasternak foundation is a mechanical model for the so-called “generalized” foundation.
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Beams on bilinear elastic foundations

International Journal of Mechanical Sciences, 1972
Abstract A perturbation solution to the dynamical problem of an Euler-Bernoulli beam on a piecewise linear elastic foundation is presented. The response of the foundation is assumed to be different in compression and in tension. Property difference of the foundation is symbolized by the perturbation parameter (foundation parameter) used in the ...
Farshad, M., Shaninpoor, M.
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Beam on Tensionless Elastic Foundation

Journal of Engineering Mechanics, 1987
An infinitely long elastic beam rests under gravity on a tensionless elastic foundation and is acted upon by a pair of moving loads. This action results in the creation of lift‐off regions between the beam and the foundation that effect the character of the response.
Li Lin, G. G. Adams
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Elastic Foundation Beam Theory

2019
The elastic foundation beam is a beam placed on a certain elastic foundation and each point of the beam closely linked to the foundation, such as railway sleepers, reinforced concrete strip foundation beams, etc.
Zhen-Dong Cui, Zhong-Liang Zhang, Li Yuan, Zhi-Xiang Zhan, Wan-Kai Zhang   +4 more
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Finite Beams on Elastic Foundation

Journal of the Structural Division, 1966
The differential equation of beams of finite length, resting on a Winkler foundation is solved in terms of the initial conditions, i.e., the conditions at one of the ends of the beam. With the solution in this form, which contains the initial conditions as the constants of integration, it is then possible to write merely by inspection the equation of ...
Constancio Miranda, Keshavan Nair
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Elastic Foundation Representation of Continuum

Journal of the Engineering Mechanics Division, 1971
The representation of an elastic continuum as an elastic foundation for beams is considered. Relationships between the elastic foundation parameters and the elastic constants of the material are developed. One- (Winkler model), two-, and three-parameter foundation models are considered for the cases of infinite, semi-infinite, and finite length beams ...
David Q. Fletcher, Leonard R. Hermann
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Circular Beam on Elastic Foundation

Journal of the Engineering Mechanics Division, 1979
In this investigation an analytical treatment for the linear static analysis of a circular beam on an elastic foundation, in the most general case of response and loading, is presented. Following an appropriate analytical methodology, the differential equations describing the equilibrium of the foregoing beam have been decoupled and a closed form ...
Dimitrios E. Panayotounakos, Pericles S. Theocaris   +1 more
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Beams on nonlinear elastic foundation

AIP Conference Proceedings, 2014
In order to determination vertical deflections and rail bending moments the Winkler model (1867) is often used. This linear model neglects several conditions. For example, by using experimental results, it has been observed that there is a substantial increase in the maximum rail deflection and rail bending moment when considering the nonlinearity of ...
Dag Lukkassen, Annette Meidell
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Prestressed Strip on Elastic Foundation

Journal of the Engineering Mechanics Division, 1976
Papkovich has developed a bi-orthogonality condition for the eigenfunctions satisfying homogenous boundary conditions in the domain of biharmonic equation. The idea of Papkovich can be extended to a class of partial differential equations. As an application of this theory, in this paper the validity of the orthogonality condition is generalized in ...
George J. Tsamasfyros, Pericles S. Theocaris   +1 more
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Beams on Elastic Foundations

2010
Many engineering applications involve a relatively rigid structure supported by a more flexible distributed ‘foundation’. An important class of examples arises in civil engineering, where buildings or other structures are supported on a soil base. Other less obvious examples include steel components supported on extended rubber bushings, floating ...
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