NDLI: Collision with friction; Part B: Poisson’s and Stornge’s hypotheses

Content Provider	Springer Nature Link
Author	Djerassi, Shlomo
Copyright Year	2008
Abstract	In Part B of this paper, planar collision theories, counterparts of the theory associated with Newton’s hypotheses described in Part A, are developed in connection with Poisson’s and Stronge’s hypotheses. First, expressions for the normal and tangential impulses, the normal and tangential velocities of separation, and the change of the system mechanical energy are written for five types of collision. These together with Routh’s semigraphical method and Coulomb’s coefficient of friction are used to show that the algebraic signs of the four parameters introduced in Part A span the same five cases of system configuration of Part A. For each, α determines the type of collision which once found allows the evaluation of the normal and tangential impulses and ultimately the changes in the motion variables. The analysis of the indicated cases shows that for Poisson’s hypothesis, a solution always exists which is unique, coherent and energy-consistent. The same applies to Stronge’s hypothesis, however, for a narrower range of application. It is thus concluded that Poisson’s hypothesis is superior as compared with Newton’s and Stronge’s hypotheses.
Starting Page	55
Ending Page	70
Page Count	16
File Format	PDF
ISSN	13845640
Journal	Multibody System Dynamics
Volume Number	21
Issue Number	1
e-ISSN	1573272X
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-09-19
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Collision Collision with friction Poison’s hypothesis Stronge’s hypothesis Routh’s graph Coulombs’ coefficient of friction Automotive Engineering Mechanical Engineering Electrical Engineering Optimization Vibration, Dynamical Systems, Control
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Mechanical Engineering Aerospace Engineering Modeling and Simulation Computer Science Applications

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