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Variational Method for Percussion Motion of a Non-Ideal Constraint System

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Abstract:

The purpose is to study the variational method for impact problem of a non-ideal constraint system. Compared to an ideal constraint system, a non-ideal constraint system has more practical engineering background, but it contains unknown non-ideal constraint forces, which usually can be written as the function of ideal constrained forces. The existing analytical method on ideal constraint systems does not contain constraint forces. The non-ideal constraint forces are considered for impact problems in the variational principle, and then by method of Lagrange multipliers, equations for impact motion of a holonomic system and an expression of the kinetic energy variation during the impact motion are obtained.

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Periodical:

Advanced Materials Research (Volume 145)

Pages:

5-9

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.145.5

Citation:

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Online since:

October 2010

Authors:

Wen Li Yao, Lu Lu Gao

Keywords:

Analytical Mechanics, Non-Ideal, Percussion Motion, Variational Principle

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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