Computational Technology Resources - CCP

Keywords: beams, spring-mass systems, eigenvalues, dynamic stiffness method, free vibration, Wittrick-Williams algorithm.

Summary

Free vibration analysis of beams carrying spring-mass systems is carried out by using the dynamic stiffness method. The eigenvalue problem for the free vibration study is formulated by assembling the dynamic stiffness matrices of beam and spring-mass elements. The Wittrick-Williams algorithm is then applied to yield the required natural frequencies and mode shapes of the combined system. Numerical examples are given for a cantilever beam carrying a spring-mass system at the tip. A parametric study is then carried out by varying the mass and stiffness properties of the spring-mass system and the subsequent effects on the natural frequencies and mode shapes are illustrated. The proposed theory can be applied for other boundary conditions of the beam and can be extended to complex structures carrying spring-mass systems. The results are discussed and validated against published literature.

purchase the full-text of this paper (price £20)

go to the previous paper
go to the next paper
return to the table of contents
return to the book description
purchase this book (price £145 +P&P)

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 93 PROCEEDINGS OF THE TENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 183 Free Vibration of Beams Carrying Spring-Mass Systems: A Dynamic Stiffness Approach J.R. Banerjee School of Engineering and Mathematical Sciences, City University London, United Kingdom doi:10.4203/ccp.93.183 purchase the full-text of this paper Full Bibliographic Reference for this paper J.R. Banerjee, "Free Vibration of Beams Carrying Spring-Mass Systems: A Dynamic Stiffness Approach", in , (Editors), "Proceedings of the Tenth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 183, 2010. doi:10.4203/ccp.93.183 Keywords: beams, spring-mass systems, eigenvalues, dynamic stiffness method, free vibration, Wittrick-Williams algorithm. Summary Free vibration analysis of beams carrying spring-mass systems is carried out by using the dynamic stiffness method. The eigenvalue problem for the free vibration study is formulated by assembling the dynamic stiffness matrices of beam and spring-mass elements. The Wittrick-Williams algorithm is then applied to yield the required natural frequencies and mode shapes of the combined system. Numerical examples are given for a cantilever beam carrying a spring-mass system at the tip. A parametric study is then carried out by varying the mass and stiffness properties of the spring-mass system and the subsequent effects on the natural frequencies and mode shapes are illustrated. The proposed theory can be applied for other boundary conditions of the beam and can be extended to complex structures carrying spring-mass systems. The results are discussed and validated against published literature. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £145 +P&P)
Back to top	©Civil-Comp Limited 2023 - terms & conditions