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Nonlinear Self-Adjointness for some Generalized KdV Equations Read chapter Read first chapter

2014 | OriginalPaper | Chapter

18. Analytical Dynamics of a Mass–Damper–Spring Constrained System

Authors : Albert C. J. Luo, Richard George

Published in: Discontinuity and Complexity in Nonlinear Physical Systems

Publisher: Springer International Publishing

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Abstract

This chapter discusses the dynamics of a mass–damper–spring system with two rigid constraints and impact interactions. Impacting chatter and stuck phenomena are investigated for the mass with constraints and the corresponding conditions for such phenomena are determined. Analytical predictions are presented for the system to give a more precise and complete demonstration of the phenomena in the system. Finally, an analytical parameter map is given to show how the system changes for varying parameters. From these conditions, numerical simulations are performed to demonstrate these phenomena in the system.

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previous chapter Basins of Attraction in a Simple Harvesting System with a Stopper
next chapter Formations of Transitional Zones in Shock Wave with Saddle-Node Bifurcations
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Metadata
Title
Analytical Dynamics of a Mass–Damper–Spring Constrained System
Authors
Albert C. J. Luo
Richard George
Copyright Year
2014
Book
Discontinuity and Complexity in Nonlinear Physical Systems

Print ISBN: 978-3-319-01410-4

Electronic ISBN: 978-3-319-01411-1

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-01411-1_18

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