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Finite Element Analysis of Rotating Beams [electronic resource] : Physics Based Interpolation / by Ranjan Ganguli.

By: Ganguli, Ranjan [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Foundations of Engineering Mechanics: Publisher: Singapore : Springer Nature Singapore : Imprint: Springer, 2017Edition: 1st ed. 2017.Description: XII, 283 p. 108 illus., 19 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789811019029.Subject(s): Machinery | Machinery and Machine ElementsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 621.8 Online resources: Click here to access online
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.
In: Springer Nature eBookSummary: 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.
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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.

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