Dynamics of mechanical systems with nonlinear nonholonomic constraints – III Analysis of motion
Dynamics of mechanical systems with nonlinear nonholonomic constraints – III Analysis of motion
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DOI：
10.1002/zamm.201200011
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发表时间：
2013-08
期刊：
影响因子：
--
通讯作者：
D. Zeković
中科院分区：
文献类型：
--
作者：
D. Zeković
The paper analyzes the motion of nonholonomic mechanical systems composed of two particles with imposition of various nonlinear limitations to the velocities of the particles – parallelism of velocities, equality of the intensities of velocities and perpendicularity of velocities. The analysis for such systems includes: equations of constraints, reactions of constraints, i.e. the mode of variations of such constraints, trajectories of the points of the systems, linear integrals for generalized velocities, i.e. cyclical coordinates. It is clearly demonstrated on these models that in the case of nonlinear nonholonomic constraints the Hamiltonian effect, in the general case, has no stationary value. Lastly, the equations of brachistochronic motion of described systems are derived and the brachitochrones of specified points are determined.
