Explicit Poincaré equations of motion for general constrained systems. Part I. Analytical results
2007 ◽
Vol 463
(2082)
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pp. 1421-1434
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Keyword(s):
This paper gives the general constrained Poincaré equations of motion for mechanical systems subjected to holonomic and/or nonholonomic constraints that may or may not satisfy d'Alembert's principle at each instant of time. It also extends Gauss's principle of least constraint to include quasi-accelerations when the constraints are ideal, thereby expanding the compass of this principle considerably. The new equations provide deeper insights into the dynamics of multi-body systems and point to new ways for controlling them.
A geometric approach to the transpositional relations in dynamics of nonholonomic mechanical systems
2018 ◽
Vol 15
(07)
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pp. 1850112
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2011 ◽
Vol 91
(11)
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pp. 899-922
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Keyword(s):
Keyword(s):
2014 ◽
Vol 11
(03)
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pp. 1450017