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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   +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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Beams on Elastic Foundation

1995
In this chapter a numerical method for the solution of the problem of a beam on an elastic foundation is presented. Special care will be taken that the program can be used for beams consisting of sections of unequal length, as the program is to be used as a basis for a sheet pile wall program, and for a program for a laterally loaded pile in a layered ...
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Beam Columns on Elastic Foundations

Journal of the Engineering Mechanics Division, 1971
A buckling analysis, bearing out the prominent differences in buckling loads of a pin-ended rod embedded in a Winkler and Wieghardt-type foundation, is given by T. E. Smith. Herein it is shown that existing results in the case of beams resting on a Winkler-type foundation and subjected to simultaneous action of axial loads, compressive or tensile and ...
Sridhara D.N. Murthy   +1 more
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Foundations of elastic postbuckling theory

2005
In this paper we present the elastic postbuckling theory, but we introduce two modifications with respect to its classical statement. First, we account for the influence of symmetries. Second, the singularities will be classified according to their robustness, what was introduced by Catastrophe Theory.
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Infinite plate on elastic foundation

1972
In many instances, the plate considered may be idealized by an infinite plate on elastic foundation whose mass is approximately neglected. The problem has been dealt with by B. G. Korenev [133] and P. Ferrari [60].
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Composite Beams on Elastic Foundations

Journal of Thermoplastic Composite Materials, 2000
The behavior of deep composite beams on elastic foundation under transverse concentrated load has been evaluated using higher order shear deformation theory. A trigonometric term is utilized to accurately describe shear deformation. The deformation and the induced stress state as a function of beam mechanical properties have been investigated.
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Infinite beam on elastic foundation

1972
The problem of a force moving along an infinite beam on an elastic foundation is of great theoretical and practical significance. It was first solved by S. P. Timoshenko [217], and for the case of a constant force theoretically refined by J. Dorr [54] as to the transient phenomenon, and by J. T. Kenney [122].
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Series Solutions for Beams on Elastic Foundations

Journal of Applied Mechanics, 1971
In this paper series solutions are derived for beams on elastic foundation, subjected to a variety of end and loading conditions. These series solutions have the following advantages over the “formal” solutions of the differential equations of the corresponding problems: 1.
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Shear Deformation in Beams on Elastic Foundations

Journal of Applied Mechanics, 1962
The importance of the effect of transverse shear deformation in the flexure of an elastic beam of symmetric cross section, constrained by a Winkler-type elastic foundation, is found to depend upon both the elastic properties of the beam and the foundation and the geometry of the beam cross section.
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