Engineering Transactions, 18, 4, pp. 551-563, 1970

Dynamiczne Linie Wpływu Ugięć Wieloczęściowego Pasma na Sprężystym Podłożu

R. Skarżyński
Politechnika Warszawska
Poland

In this paper are derived the equations of motion of a compound band having an arbitrary number of elements connected with each other by articulated joints or in a continuous manner (on supports), and resting on an elastic base. Along the band a load is displaced in a form of a single force or a system of connected forces.
The solution of the problem is obtained by the method of generalized series of Fourier's eigen-functions. In both structures, the solution is brought to set of linear equations and is illustrated by an example.
The accepted dynamic scheme can be a model for a communication surface.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

S. TIMOSHENKO, Method of analysis of statical and dynamical stresses in rail, Proceeding of the Second International Congress for Applied Mechanics, Zürich 1926.

J. T. KENNEY, Steady-state vibrations of beam on elastic foundation for moving load, J. Appl. Mech. 1, 1954.

В. А. Киселев, Динамические поверхности влияния перемещений и внутренних сил орто тропных пластин на упругом основании с двумя коэффициентами постели, Иссл. теории

coop., 12, Госиздат, Москва 1963.

А. Кричук, Колебания плиты, лежащей на упругом с последствием основании, с учетом массы подвижной нагрузки, Теория оболочек и пластин, Узд. Ак. Наук Армянской ССР, Ереван 1964.