证明了弧长坐标 s在轨道未知的 Appell- Ham el质点运动中不能作为普通坐标或广义坐标 ,但可以作为准坐标 ,指出文献 [1]中引入弧长 s坐标的做法及“Appell- Ham el质点运动的轨迹是一般螺线”的结论是正确的 ,但其Appell- Ham el约束...证明了弧长坐标 s在轨道未知的 Appell- Ham el质点运动中不能作为普通坐标或广义坐标 ,但可以作为准坐标 ,指出文献 [1]中引入弧长 s坐标的做法及“Appell- Ham el质点运动的轨迹是一般螺线”的结论是正确的 ,但其Appell- Ham el约束是完整约束及在该质点运动中 s坐标是广义坐标的观点是错误的 .力学系统约束的力学性质不依赖于坐标和空间的选择 .展开更多
As a counterexample of the Euler condition for nonholonomic constraint problems [H. C. Shen, Acta Phys. Sin. 54, 2468 （2005）], we investigate the Apell-Hamel dynamical system on a horizontally moving plate. The inco...As a counterexample of the Euler condition for nonholonomic constraint problems [H. C. Shen, Acta Phys. Sin. 54, 2468 （2005）], we investigate the Apell-Hamel dynamical system on a horizontally moving plate. The inconsistency of the results with Newton mechanics suggests that the Euler condition is not a universal model for nonlinear nonholonomic systems. This is attributed to the fact that the virtual displacements so obtained are not normal to the constraint forces.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos 10874169 and 10674125)and the National Basic Research Program of China (Grant No 2007CB925200)Li Shu-Min is grateful to DAAD and DFG for financial supportduring his stay in Germany
文摘As a counterexample of the Euler condition for nonholonomic constraint problems [H. C. Shen, Acta Phys. Sin. 54, 2468 （2005）], we investigate the Apell-Hamel dynamical system on a horizontally moving plate. The inconsistency of the results with Newton mechanics suggests that the Euler condition is not a universal model for nonlinear nonholonomic systems. This is attributed to the fact that the virtual displacements so obtained are not normal to the constraint forces.
