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Oscillation of an elastic bar rigidly linked to a kinematically excited pendulum

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Abstract

The oscillation of a mechanical system consisting of an elastic bar rigidly linked at the middle to a kinematically excited pendulum is studied. A system of integro-differential equations with appropriate boundary and initial conditions for the deflections of the bar axis and the rotation angle of the pendulum is derived using the Hamilton-Ostrogradsky principle. Given kinematic excitation conditions, the rotation angle is found as a solution to an inhomogeneous Hill equation in the form of a double power series in the amplitude of kinematic excitation. It is shown that the oscillation of the bar is the linear superposition of three oscillations

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Authors and Affiliations

  1. Lviv Polytechnic National University, Lviv, Ukraine

    Yu. K. Rudavskii & I. A. Vikovich

Authors
  1. Yu. K. Rudavskii
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  2. I. A. Vikovich
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 10, pp. 107–115, October 2006.

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Rudavskii, Y.K., Vikovich, I.A. Oscillation of an elastic bar rigidly linked to a kinematically excited pendulum. Int Appl Mech 42, 1170–1178 (2006). https://doi.org/10.1007/s10778-006-0189-6

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  • DOI: https://doi.org/10.1007/s10778-006-0189-6

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