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

Ganguli, Ranjan

Springer Verlag, Singapore（2018/06発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 283 p.
• 言語 ENG
• 商品コード 9789811094729
• DDC分類 003.3

Full Description

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.

Contents

Introduction.- Stiff String Basis Functions.- Rational Interpolation Functions.- Fourier-p Superelement.- Physics Based Basis Functions.- Collocation Approach.- Rotor Blade Finite Element.- Spectral Finite Element Method.- Violin String Shape Functions.- Appendix A: Stiffness Matrix.- Appendix B: MATLAB Code.- Appendix C: Governing Equation for Rotating Timoshenko Beam.