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Impact on Non-holonomic Systems with Nonideal Holonomic Constraints

Wenli Yao

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Abstract

The objective is to study impact on non-holonomic systems with nonideal holonomic constraints.Considering first-order linear non-holonomic systems with redundant generalized coordinates,the Lagrange equations with unknown Lagrange multipliers are obtained.Based on the above equations,the relation between the states for pre-impact and postimpact is established.An example shows the procedure to realize the method.

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What this paper is about

The objective is to study impact on non-holonomic systems with nonideal holonomic constraints.Considering first-order linear non-holonomic systems with redundant generalized coordinates,the Lagrange equations with unknown Lagrange multipliers are obtained.Based on the above equations,the relation between the states for pre-impact and postimpact is established.An example shows the procedure to realize the method.

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Available abstract

The objective is to study impact on non-holonomic systems with nonideal holonomic constraints.Considering first-order linear non-holonomic systems with redundant generalized coordinates,the Lagrange equations with unknown Lagrange multipliers are obtained.Based on the above equations,the relation between the states for pre-impact and postimpact is established.An example shows the procedure to realize the method.

Key concepts: Holonomic, Holonomic constraints, Lagrange multiplier, Mathematics, Relation (database), Applied mathematics, Control theory (sociology), Mathematical optimization

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