Free vibrations of a beam-mass system with elastically restrained ends |
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| Authors: | RP Goel |
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| Institution: | Department of Mechanical Engineering, North Carolina Agricultural and Technical State University, Greensboro, North Carolina 27411, U.S.A. |
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| Abstract: | The vibration problem of a beam with an arbitrarily placed concentrated mass and elastically restrained against rotation at either end is solved by using Laplace transforms. The effects on eigenfrequencies of the system produced by varying the ratios of the concentrated mass to the mass of the beam, stiffness of the end spring to the stiffness of the beam and position of the mass to the total length of the beam are presented. The effect of neglecting the mass of the beam is considered. |
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