Abstract
Let us use the Cartesian system of rectilinear orthogonal coordinates \( x = (x_{i} ),i = 1,2,3 \). The equations of three-dimensional body vibrations in the curvilinear coordinate system are given in the Appendix.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Birger I. A., & Mavlyutov, R. R. (1986). Strength of materials (560 pp). Science Publishing House of Physical and Mathematical Literature Fizmatlit, Moscow (in Russian).
Lurie A. I. (2005). Theory of elasticity (1050 pp.). Berlin: Springer.
Timoshenko, S., & Woinowsky-Krieger, S. (1959). Theory of plates and shells (635 pp). New York: McGraw-Hill.
Mikhlin S. G. (1964). Variational methods in mathematical physics (510 pp). Oxford: Pergamon Press.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Fridman, V. (2018). Vibrations of a Three-Dimensional Body, Plate and Ring. In: Theory of Elastic Oscillations. Foundations of Engineering Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-10-4786-2_2
Download citation
DOI: https://doi.org/10.1007/978-981-10-4786-2_2
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-4785-5
Online ISBN: 978-981-10-4786-2
eBook Packages: EngineeringEngineering (R0)