Large Amplitude Free Flexural Vibration of Structures

First, a brief history of the development of the analyses of large amplitude vibration is given. Second, nonlinearities exhibited by beams, plates, rings, and shells undergoing large amplitude vibrations are discussed. It is shown that, in case of large amplitude vibrations, the modal equations for multilayered beams and plates are qualitatively the same as the modal equation for shells. © 1987, Sage Publications. All rights reserved.