Finite element analysis of rotating beams : physics based interpolation

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 i...

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Bibliographic Details
Main Author: Ganguli, Ranjan, (Author)
Format: eBook
Language: English
Published: Singapore : Springer, [2016]
Series: Foundations of engineering mechanics.
Subjects:
Finite element method.
Rotational motion (Rigid dynamics)
elektronické knihy
electronic books
ISBN: 9789811019029
9789811019012
Physical Description: 1 online resource (xii, 283 pages) : illustrations (some color)

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100 1 |a Ganguli, Ranjan,  |e author. 
245 1 0 |a Finite element analysis of rotating beams :  |b physics based interpolation /  |c Ranjan Ganguli. 
264 1 |a Singapore :  |b Springer,  |c [2016] 
264 4 |c ©2017 
300 |a 1 online resource (xii, 283 pages) :  |b illustrations (some color) 
336 |a text  |b txt  |2 rdacontent 
337 |a počítač  |b c  |2 rdamedia 
338 |a online zdroj  |b cr  |2 rdacarrier 
490 1 |a Foundations of engineering mechanics,  |x 1612-1384 
504 |a Includes bibliographical references. 
505 0 |a Preface; Contents; About the Author; 1 Introduction; 1.1 Introduction; 1.1.1 Elastic Blade; 1.1.2 Horizontal Force Equilibrium; 1.1.3 Boundary Conditions; 1.1.4 Initial Conditions; 1.1.5 Cantilever Beam Vibrations (Non-rotating); 1.1.6 Beam Functions; 1.1.7 Rotating Beam Vibration; 1.2 Galerkin Method; 1.3 Rayleigh -- Ritz Method; 1.4 Finite Element Method; 1.4.1 Element Properties; 1.4.2 Energy Expressions; 1.4.3 Assembly of Elements; 1.4.4 Cantilever; 2 Stiff String Basis Functions; 2.1 Stiff String Equation; 2.2 Stiff String Basis Functions; 2.3 Uniform Rotating Beam. 
505 8 |a 2.4 Tapered Rotating Beam2.5 Hybrid Basis Functions; 2.6 Finite Element; 2.6.1 Uniform Rotating Beam; 2.7 Tapered Rotating Beam; 2.8 Summary; References; 3 Rational Interpolation Functions; 3.1 Governing Differential Equation; 3.2 Hermite Shape Functions; 3.3 New Shape Functions; 3.4 Static Finite Element Analysis; 3.5 Dynamic Finite Element Analysis; 3.5.1 Uniform Beam; 3.5.2 Tapered Rotating Beam; 3.6 Summary; References; 4 Fourier-p Superelement; 4.1 Governing Equation of Rotating Beams; 4.2 Shape Functions; 4.3 Superelement Matrices; 4.4 Numerical Results; 4.4.1 Uniform Rotating Beam. 
505 8 |a 4.4.2 Tapered Rotating Beam4.5 Summary; References; 5 Physics Based Basis Functions; 5.1 Basis Function; 5.2 Finite Element Analysis; 5.3 Numerical Results; 5.3.1 Uniform Beam; 5.3.2 Tapered Beam; 5.3.3 Beams with Hub Offset; 5.4 Summary; References; 6 Collocation Approach; 6.1 Governing Differential Equation; 6.2 Point Collocation Approach; 6.2.1 Collocation Point at a Variable Location Within Beam Element; 6.2.2 Collocation Point Near the Left Node of Beam Element; 6.2.3 Collocation Point at the Midpoint of Beam Element; 6.2.4 Collocation Point Near the Right Node of Beam Element. 
505 8 |a 6.2.5 Two Point Collocation6.2.6 Analysis of Shape Functions; 6.3 Finite Element Formulation; 6.4 Numerical Results; 6.4.1 Uniform Rotating Beam; 6.4.2 Tapered Rotating Beam; 6.5 Summary; References; 7 Rotor Blade Finite Element; 7.1 Energy Expressions; 7.2 Governing Differential Equations; 7.3 Derivation of the Shape Functions; 7.3.1 Shape Functions for Flapwise Bending; 7.3.2 Shape Functions for Lead-Lag Bending; 7.3.3 Shape Functions for Axial Deflection; 7.3.4 Shape Functions for Torsion; 7.4 Finite Element Method; 7.5 Numerical Results; 7.5.1 Analysis of Shape Functions. 
505 8 |a 7.5.2 Validation Study7.6 Convergence Study of New FEM Element and Polynomials; 7.7 Summary; References; 8 Spectral Finite Element Method; 8.1 Governing Differential Equation; 8.2 Spectral Finite Element Formulation; 8.2.1 Interpolating Function for SFER; 8.2.2 Interpolating Function for SFEN; 8.2.3 Dynamic Stiffness Matrix in Frequency Domain; 8.3 Free Vibration Results; 8.3.1 Uniform Beam; 8.3.2 Tapered Beam 1-Linear Mass and Cubic Flexural Stiffness Variation; 8.3.3 Tapered Beam 2-Linear Mass and Flexural Stiffness Variation; 8.4 Wave Propagation Study; 8.4.1 Convergence Study. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a 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. 
590 |a SpringerLink  |b Springer Complete eBooks 
650 0 |a Finite element method. 
650 0 |a Rotational motion (Rigid dynamics) 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
776 0 8 |i Printed edition:  |z 9789811019012 
830 0 |a Foundations of engineering mechanics. 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://link.springer.com/10.1007/978-981-10-1902-9  |y Plný text 
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