Results 251 to 260 of about 2,472,040 (292)

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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Eigenfunction Solution for Beam on Elastic Foundation

Journal of Applied Mechanics, 1969
A 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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Random Deflections of a String on an Elastic Foundation

SIAM Journal on Applied Mathematics, 1972
The paper is concerned with the problem of a taut string on a random elastic foundation subjected to random loads. The boundary value problem is transformed into an initial value problem by the method of invariant imbedding. Fokker–Planck equations for the random initial value problem are formulated and solved in some special cases.
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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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Vibrations of a beam on elastic foundation II

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1959
AbstractIn an earlier paper, the equations describing the vibrations of a beam on elastic foundation under the action of an alternating force whose point of application moves along the beam was solved by the author, neglecting damping. The effect of damping is taken into account in the present work, and explicit solutions, valid for all frequencies and
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Structures on elastic foundation

2022
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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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A theory of elastic foundations

Archive for Rational Mechanics and Analysis, 1980
Bharatha, S., Levinson, M.
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Elastic Foundation Induced Wide Bandgaps for Actively-tuned Topologically Protected Wave Propagation in Phononic Crystal Beams

International Journal of Mechanical Sciences, 2021
Zhenyu Chen, Weijian Zhou, Guifeng Wang
exaly  

The strut on an elastic foundation

1999
A R Champneys, G W Hunt, J M T Thompson
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