Oscillation of an elastic bar rigidly linked to a kinematically excited pendulum |
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Authors: | Yu. K. Rudavskii I. A. Vikovich |
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Affiliation: | (1) Lviv Polytechnic National University, Lviv, Ukraine |
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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 __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 10, pp. 107–115, October 2006. |
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Keywords: | bar-pendulum system kinematic excitation double power series in amplitude of kinematic excitation linear superposition of three oscillations |
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