Explicit Equations of Motion for Mechanical Systems With Nonideal Constraints
نویسندگان
چکیده
منابع مشابه
Explicit Equations of Motion for Mechanical Systems With Nonideal Constraints
Since its inception about 200 years ago, Lagrangian mechanics has been based upon the Principle of D’Alembert. There are, however, many physical situations where this confining principle is not suitable, and the constraint forces do work. To date, such situations are excluded from general Lagrangian formulations. This paper releases Lagrangian mechanics from this confinement, by generalizing D’...
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When constraints are applied to mechanical systems, additional forces of constraint are produced that guarantee their satisfaction. The development of the equations of motion for constrained mechanical systems has been pursued by numerous scientists and mathematicians, like Appell @1#, Beghin @2#, Chetaev @3#, Dirac @4#, Gauss @5#, Gibbs @6#, and Hamel @7#. All these investigators have used as ...
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Since its inception more than 200 years ago, analytical mechanics has been continually drawn to the determination of the equations of motion for constrained mechanical systems. Following the fundamental work of Lagrange @1# who bequeathed to us the so-called Lagrange multipliers in the process of determining these equations, numerous scientists and mathematicians have attempted this central pro...
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ژورنال
عنوان ژورنال: Journal of Applied Mechanics
سال: 2000
ISSN: 0021-8936,1528-9036
DOI: 10.1115/1.1364492