Abstract
This study has two aims. The first aim is to describe a number of wonderful phenomena caused by the action of vibration1 on nonlinear mechanical systems along with important applications of these effects in technology. The second aim is to present a general mechanical-mathematical approach to the description and investigation of this class of phenomena. We call the approach to be described herein “Vibrational Mechanics”. While it is a new approach, it is based on the classical idea of averaging in the theory of nonlinear oscillations and in the theory of the stability of motion.
By vibration we mean the mechanical oscillations whose period is much shorter than the characteristic interval in which the motion of the system is considered and whose swing is far smaller than the characteristic size of the system.
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© 2007 CISM, Udine
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Blekhman, I.I. (2007). Vibrational Mechanics - a General Approach to Solving Nonlinear Problems. In: Elishakoff, I. (eds) Mechanical Vibration: Where do we Stand?. International Centre for Mechanical Sciences, vol 488. Springer, Vienna. https://doi.org/10.1007/978-3-211-70963-4_12
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DOI: https://doi.org/10.1007/978-3-211-70963-4_12
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-68586-0
Online ISBN: 978-3-211-70963-4
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