Forced vibrations of a beam elastically restrained against rotation and carrying a spring–mass system |
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| Authors: | D V Bambill C A Rossit |
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| Institution: | Department of Engineering, Universidad Nacional del Sur and CONICET, 8000 Bahía Blanca, Argentina |
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| Abstract: | An exact solution for the title problem is obtained in closed form fashion in the case of a Bernoulli–Euler beam. It is assumed that the exciting force is applied to the mass which is elastically mounted on the beam. The mathematical model constitutes a first order approximation to a motor or engine elastically mounted on a structural element. The operation of the machine generates a transverse, sinusoidally varying force. The problem is of basic interest in mechanical, naval and ocean engineering systems from the point of view of the determination of dynamic displacements and stresses; sound radiation calculations, etc. The present problem arose in connection with the mounting of an engine on a structural beam in a small naval vessel and when excessive vibrational level was noted. This study was undertaken in order to understand the physical problem and to correct the mechanical situation |
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| Keywords: | Bernoulli– Euler beam Elastically mounted mass Mechanical Naval and ocean engineering Dynamic displacements and stresses Sound radiation calculations |
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