Abstract
Free vibrations of uniform and non-uniform beams with elastically restrained edges and carrying concentrated masses are analyzed in detail. For uniform beam cases, the Laplace transform is used to formulate the characteristic equations for a beam carrying intermediate concentrated masses. The eigenfrequency parameters are then obtained by the method of false position with an acceptable error. For beams of non-uniform cross-section, the Rayleigh-Ritz method is used to calculate the eigenfrequencies. The numerical results for both uniform and non-uniform beams with one, two or three intermediate masses are compared with some limited known data, and the agreement is excellent.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
