Ganguli, Ranjan.

Finite Element Analysis of Rotating Beams Physics Based Interpolation / [electronic resource] : by Ranjan Ganguli. - 1st ed. 2017. - XII, 283 p. 108 illus., 19 illus. in color. online resource. - Foundations of Engineering Mechanics, 1860-6237 . - Foundations of Engineering Mechanics, .

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.

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.

9789811019029

10.1007/978-981-10-1902-9 doi


Machinery.
Machinery and Machine Elements.

TA213-215

621.8