摘要
The incorrectness of the solutions to nonholonomic problems provided by the Chetaev model is indicated. Such solutions demand a kind of "nonholonomic" force which is neither external nor constraint. Using a method of constraint analysis, the present paper gives correct solutions to these problems and to a whole additional class of nonholonomic problems. Each solution consists of two parts. The principal part (the so-called kernel solution) describes the global behavior of the system and the supplementary part has a local character.
The incorrectness of the solutions to nonholonomic problems provided by the Chetaev model is indicated. Such solutions demand a kind of 'nonholonomic' force which is neither external nor constraint. Using a method of constraint analysis, the present paper gives correct solutions to these problems and to a whole additional class of nonholonomic problems. Each solution consists of two parts. The principal part (the so-called kernel solution) describes the global behavior of the system and the supplementary part has a local character.
基金
Project supported by the Doctoral Program Foundation of Institution of Higher Education
the National Natural Science Foundation of China
