Nonlinear Vibrations of Cantilever Beams and Plates Pramod Malatkar Dissertation submitted to the Faculty of the Virginia Polytechnic Institute and State University in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Engineering Mechanics Ali H. Nayfeh, Chair Liviu Librescu Rakesh K. Kapania Romesh C. Batra Scott L. Hendricks July 3, 2003 Blacksburg, Virginia Keywords: Nonlinear structure, modal interactions, energy transfer, system identification. Copyright 2003, Pramod Malatkar