Abstract: A method for the analysis of the free vibrations of an arbitrary structure in terms of component modes is presented based upon the use of the normal, free-free modes of the components in a ...

Abstract: A method for the analysis of the free vibrations of a linear structure supported in an arbitrary way is presented based upon the use of the normal modes of the unsupported or unconstrained ...

Abstract: Recently the author had occasion to investigate inter alia the asymptotic character of the mode shapes of uniform beams. These results do not seem to have been presented before in the literature ...

Abstract: Time histories, phase plane portraits, power spectra, and Poincare maps are used as descriptors to observe the evolution of chaos in an autonomous system. Although the motions of such a system ...

Abstract: The dynamics of a buckled beam are studied for both the initial value problem and forced external excitation. The principal focus is on chaotic oscillations due to forced excitation. In ...