Finite Element Analysis of Rotating Beams
Physics Based Interpolation
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Beschreibung
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.
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.
Includes solved examples of the calculation of natural frequencies of rotating beams Provides new methods for creating interpolation functions for the rotating beam finite element method Includes Matlab code for finding the frequencies of a rotating beam Covers new interpolation functions for low-order models useful in control problems Shows how finite element methods can be improved by selecting interpolation functions Includes supplementary material: sn.pub/extras
Autor*in
Ranjan Ganguli
Themen in »Finite Element Analysis of Rotating Beams«
Finite element method Rotating beam Computational method Low order model Numerical method
Stimmen zu »Finite Element Analysis of Rotating Beams«
“This book provides an introduction to finite elements for rotating beam problems. … This book can be useful to engineers, graduate students and researchers working on rotating beam problems.” (V. Leontiev, zbMATH 1369.74001, 2017)
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