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APPROXIMATE DETERMINATION OF THE FUNDAMENTAL FREQUENCY OF A CANTILEVERED BEAM WITH POINT MASSES AND RESTRAINING SPRINGS

✍ Scribed by P.K. Sarkar

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
356 KB
Volume
195
Category
Article
ISSN
0022-460X

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✦ Synopsis

This paper deals with the approximate determination of the fundamental vibration frequency of a uniform cantilever beam with any number of mounted masses and restraining springs at various locations along the length of the beam. Numerical results are obtained by using a finite element technique. The beam has a uniform rectangular cross-section and the constraint is a translational spring. A method known as the equivalent center weight method forms the basis of this investigation. Design charts have been established for equivalent factors for both the mounted masses and springs. These charts are useful for quick determination of the natural frequency of a cantilever beam with masses and springs at any arbitrary locations.

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This paper deals with the derivation of the frequency equation of a special combined dynamic system. It consists of a clamped-free Bernoulli-Euler beam with a tip mass where a spring-mass system is attached to it. The derivation of the frequency equation is essentially carried out by means of the La