Journal of Theoretical
and Applied Mechanics

27, 2, pp. 347-361, Warsaw 1989

Swobodne drgania poprzeczne układu dwóch belek z masami skupionymi, podporami sprężystymi i sztywnymi

Zbigniew Oniszczuk

This paper presents an analysis of free transverse vibrations of the system of two beams with concentrated masses, elastic and rigid supports. Parallel prismatic beams are coupled by means of a massless linear elastic element. The differential equations of motion of the system are solved by application of the method of Laplace-Carson integral transformations. The solutions may be used to find vibrations of multi-span (continuous) and non-uniform beams. A numerical example is given.