The various uses to which receptances may be put in linear vibration theory are well known. For some purposes it would be useful to have the direct receptance at a co-ordinate expressed in terms of parameters of that modified system which is defined when the co-ordinate concerned is locked. The problem has been solved elsewhere (1) in general terms, for an undamped system with n degrees of freedom. The particular case of a simply supported beam is examined here, both for lumped and for continuously distributed parameters.
Get full access to this article
View all access options for this article.
References
1.
BishopR. E. D.MahalingamS. ‘The response of an oscillatory system to excitation by a transient displacement’, Proc. R. Soc.1971A324, 63.
2.
BishopR. E. D.JohnsonD. C.The mechanics of vibration1960 (Cambridge University Press).
3.
MindlinR. D.GoodmanL. E. ‘Beam vibrations with time dependent boundary conditions’, J. appl. Mech.195017 (No. 4), 377.
