Finite Element Analysis of Rotating Beams: Physics Based Interpolation (Foundations of Engineering Mechanics)

This book addresses the solution of rotating beam free-vibration problems using the finite element method. It provides an introduction to the governing equation of a rotating beam, before outlining the solution procedures using Rayleigh-Ritz, Galerkin and finite element methods. The possibility of improving the convergence of finite element methods through a judicious selection of interpolation functions, which are closer to the problem physics, is also addressed. The book offers a valuable guide for students and researchers working on rotating beam problems important engineering structures used in helicopter rotors, wind turbines, gas turbines, steam turbines and propellers and their applications. It can also be used as a textbook for specialized graduate and professional courses on advanced applications of finite element analysis.