Abstract
In this chapter, we enforce satisfaction of the differential equation for the rotating beam at only some points in the domain, an idea which we borrow from the collocation method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chung J, Yoo HH (2002) Dynamic analysis of a rotating cantilever beam by using the finite element method. J Sound Vib 249(1):147–164
Cook RD, Malkus DS, Plesha ME (1989) Concept and Application of Finite Element Analysis, 3rd edn. Wiley, New York
Gunda JB, Gupta RK, Ganguli R (2009) Hybrid stiff-string-polynomial basis functions for vibration analysis of high speed rotating beams. Comput Struct 87(3–4):254–265
Herrera I, Yates R, Rubio E (2007) Collocation methods: more efficient procedures for applying collocation. Adv Eng Softw 38(10):657–667
Hodges DJ, Rutkowsky MJ (1981) Free vibration analysis of rotating beams by a variable order finite element method. AIAA J 19(11):1459–1466
Pratap R (2006) Getting Stated with MATLAB 7, 1st edn. Oxford University Press, New Delhi
Reddy JN (2004) An Introduction to Finite Element Methods, 3rd edn. McGraw-Hill, New York
Wang G, Wereley NM (2004) Free vibration analysis of rotating blades with uniform tapers. AIAA J 42(12):2429–2437
Wolfram S (1999) The Mathematica Book, 4th edn. Cambridge University Press, New York
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer Science+Business Media Singapore
About this chapter
Cite this chapter
Ganguli, R. (2017). Collocation Approach. In: Finite Element Analysis of Rotating Beams. Foundations of Engineering Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-10-1902-9_6
Download citation
DOI: https://doi.org/10.1007/978-981-10-1902-9_6
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-1901-2
Online ISBN: 978-981-10-1902-9
eBook Packages: EngineeringEngineering (R0)