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2010•Chinese Physics LettersOpen access

A Field Integration Method for a Weakly Nonholonomic System

Mei Feng-Xiang, Cui Jin-Chao, Chang Peng

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Abstract

A field integration method for a weakly nonholonomic system is studied. The differential equations of motion of the system are established. The approximate solution of the holonomic system corresponding to the weakly nonholonomic system is obtained by using the field method. The restriction of nonholonomic constraint to initial conditions is added and the approximate solution of the weakly nonholonomic system is obtained. An example is given to demonstrate the application of the result.

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A field integration method for a weakly nonholonomic system is studied. The differential equations of motion of the system are established. The approximate solution of the holonomic system corresponding to the weakly nonholonomic system is obtained by using the field method. The restriction of nonholonomic constraint to initial conditions is added and the approximate solution of the weakly nonholonomic system is obtained. An example is given to demonstrate the application of the result.

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Available abstract

A field integration method for a weakly nonholonomic system is studied. The differential equations of motion of the system are established. The approximate solution of the holonomic system corresponding to the weakly nonholonomic system is obtained by using the field method. The restriction of nonholonomic constraint to initial conditions is added and the approximate solution of the weakly nonholonomic system is obtained. An example is given to demonstrate the application of the result.

Key concepts: Nonholonomic system, Holonomic, Constraint (computer-aided design), Equations of motion, Field (mathematics), Holonomic constraints, Physics, Classical mechanics

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