Chapter Two - Rayleigh–Ritz method

Abstract

This chapter deals with the numerical procedure of the Rayleigh–Ritz method. First of all, the origin and scope of this computational technique are reported, followed by the emerging trends developed by different researchers on static and dynamic characteristics of structural members. This book particularly adopts this method in solving a variety of static and dynamic problems (reported in their respective chapters), whereas the computational algorithms related to vibration of functionally graded (FG) beams are subsequently incorporated in the present discussion.