Abstract
Mechanical systems in general consist of structural components which have distributed mass and elasticity. Examples of these structural components are rods, beams, plates, and shells. For the most part, our study of vibration thus far has been limited to discrete systems which have a finite number of degrees of freedom. As has been shown in the preceding chapters, the vibration of mechanical systems with lumped masses and discrete elastic elements is governed by a set of second-order ordinary differential equations. Rods, beams, and other structural components on the other hand are considered as continuous systems which have an infinite number of degrees of freedom, and as a consequence, the vibration of such systems is governed by partial differential equations which involve variables that depend on time as well as the spatial coordinates.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Shabana AA (1997) Vibration of discrete and continuous systems. Springer, New York
Timoshenko S, Young DH, Weaver W (1974) Vibration problems in engineering. Wiley, New York
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Shabana, A.A. (2019). Continuous Systems. In: Theory of Vibration. Mechanical Engineering Series. Springer, Cham. https://doi.org/10.1007/978-3-319-94271-1_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-94271-1_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-94270-4
Online ISBN: 978-3-319-94271-1
eBook Packages: EngineeringEngineering (R0)