紐に吊された2振子の連成振動のラプラス変換法による解法と工学教育への応用

概要

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Synopsis　It is well known that the pendulums coupled by a string show the interesting situation of the motion such as the exchanging amplitudes and the periodisities by selecting the initial conditions. The problems of vibration on the dynarmcal system with the finite degree of freedom and on the non-stationary vibration can not be solved by assuming the usual harmonic oscillation. They are successfully performed by the application of Laplace transformation to the equation of motion.　The investigation is performed about a simple model with equivalent two pendulums taking the displacements of fulcra and the transversal swings of them into accounts. The time dependence of mass positions of swinging pendulums can be represented in terms of the relative length of pendulums.　Theoretical curves in this method agree reasonably with the experimental results. It is remarked that one can handle precisely the vibration of coupled pendulums without regarding to numbers in the system. It is touched in the discussions that the investigation plays an important role at undergraduate course in the engineering education.
1978-02-20