Abstract
Receptance functions for multi-supported finite beams have been derived in terms of the end receptances of individual beam elements. Receptances of some multi-supported beams have been studied as they vary with frequency over the range fully covering the lowest group of natural frequencies. Effect of variation of support spacing on the receptances and natural frequencies of the beam has also been studied. The results have been compared to a beam on equally spaced (periodic) simple supports. The receptances of undamped systems, as considered in this paper are real functions, and the frequencies at which they can be spring-like or mass-like, have been discussed. The receptances of finite beams have been found to be very useful in determining the resonance frequencies of finite systems having ideal or any other end conditions.
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