The principles of Lagrange–d’Alembert and Hamilton applied to a rigid bar subject to nonholonomic constraints
It is well known that the Lagrange–d’Alembert and Hamilton principles, which are widely used to derive the laws of motion for nonholonomic systems, are not equivalent and that, in some cases, the equations of motion derived from them differ. The aim of this paper is to illustrate these differences b...
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| Published in | Acta mechanica Vol. 236; no. 1; pp. 91 - 103 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Wien
Springer Nature B.V
01.01.2025
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| Abstract | It is well known that the Lagrange–d’Alembert and Hamilton principles, which are widely used to derive the laws of motion for nonholonomic systems, are not equivalent and that, in some cases, the equations of motion derived from them differ. The aim of this paper is to illustrate these differences by comparing the solutions of the dynamic equations derived from these principles in a simple nonholonomic system. |
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| AbstractList | It is well known that the Lagrange–d’Alembert and Hamilton principles, which are widely used to derive the laws of motion for nonholonomic systems, are not equivalent and that, in some cases, the equations of motion derived from them differ. The aim of this paper is to illustrate these differences by comparing the solutions of the dynamic equations derived from these principles in a simple nonholonomic system. |
| Author | Tiero, Alessandro |
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| Cites_doi | 10.1016/S0034-4877(98)80011-6 10.1119/1.1973116 10.1007/BF01692422 10.1016/0021-8928(92)90016-2 10.1007/978-3-662-02535-2 10.1093/acprof:oso/9780198567370.001.0001 10.1007/b97376 10.1119/1.1975418 10.1006/jdeq.1999.3727 10.1093/qjmam/7.3.338 10.1119/1.1972703 10.1142/8058 10.1017/CBO9780511626432 10.1119/1.1973007 10.1119/1.1830501 10.1017/9781108896191 |
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| Title | The principles of Lagrange–d’Alembert and Hamilton applied to a rigid bar subject to nonholonomic constraints |
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