Three-dimensional vibration analysis of a finite cylinder using the generalised differential quadrature method Online publication date: Sat, 30-Aug-2014
by Reza Teymoori Faal; Behnam Ghalamchi
International Journal of Engineering Systems Modelling and Simulation (IJESMS), Vol. 5, No. 4, 2013
Abstract: Using the Navier's equations of the motion in cylindrical coordinate, vibration analysis of a finite cylinder is accomplished. These equations are transformed into the dimensionless forms in terms of non-dimensional displacements and time. The different boundary conditions are considered for this problem which the former analytical and semi-analytical methods could not treat them. Two ends boundary condition namely fixed-fixed and fixed-free are examined. The dimensionless governing equations of the motions in conjunction with the boundary condition are discretised making use of the generalised differential quadrature (GDQ) method. The ensuing system of algebraic equations in terms of displacement components leads to an eigenvalue problem to find the natural frequencies of the problem. The comparison of the results with some earlier works validates the methodology and formulation of the problem.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Engineering Systems Modelling and Simulation (IJESMS):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook