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2015 | OriginalPaper | Chapter

4. Transient Rectilinear Motion of Mechanical Systems

Authors : Matthew A. Davies, Tony L. Schmitz

Published in: System Dynamics for Mechanical Engineers

Publisher: Springer New York

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Abstract

You are already familiar with many types of mechanical systems that may undergo oscillations, or back and forth repetitive motions. They can occur in many mechanical systems including:

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previous chapter Elements of Lumped Parameter Models
next chapter Transient Rotational Motion of Mechanical Systems
Appendix
Available only for authorised users
Footnotes
1
The units of momentum are the product of the units of mass and velocity.
 
2
We can think of the exponential terms as the “damping envelope” since it drives the vibration magnitude toward zero as time gets large.
 
3
We can think of a stable system as one that tends to return to its equilibrium position when disturbed from that position and an unstable system as one that tends to move away from its equilibrium position and not return. A mental picture for stability is provided by a ball placed inside a bowl (against the concave inner surface), while a picture of instability is provided by a ball placed on top of an inverted bowl (against the outer convex surface).
 
4
Equations (4.48) and (4.49) are coupled because they both contain x 1 and x 2.
 
Metadata
Title
Transient Rectilinear Motion of Mechanical Systems
Authors
Matthew A. Davies
Tony L. Schmitz
Copyright Year
2015
Publisher
Springer New York
Book
System Dynamics for Mechanical Engineers

Print ISBN: 978-1-4614-9292-4

Electronic ISBN: 978-1-4614-9293-1

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-1-4614-9293-1_4

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