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Infinite plate on elastic foundation
1972In 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, 2000The 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
1972The 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, 1971In 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, 1962The 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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Eigenfunction Solution for Beam on Elastic Foundation
Journal of Applied Mechanics, 1969A solution for the end problem of a rectangular beam resting on a simple elastic foundation is obtained as a series expansion in the eigenfunctions of the system. For a beam aligned with the ξ-axis, the eigenfunctions are of the form eγξf(y), where γ is one of the complex eigenvalues. The eigenvalue equation is determined by requiring continuity of the
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Elastic Behavior of Composite Materials: Theoretical Foundations
1981Publisher Summary This chapter presents theoretical foundations about elastic behavior of composite materials. A composite material is a heterogeneous solid continuum that bonds together a number of discrete homogeneous continua, each of which has a well-defined sharp boundary.
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