Kane's equations for percussion motion of variable mass nonholonomic mechanical systems

1995 ◽  
Vol 16 (9) ◽  
pp. 839-850 ◽  
Author(s):  
Zhang Yueliang ◽  
Qiao Yongfen
Keyword(s):  
Variable Mass ◽  
Mechanical Systems ◽  
Nonholonomic Mechanical Systems ◽  
Kane’S Equations ◽  
Kane's Equations

Extended Kane’s Equations for Nonholonomic Variable Mass System

1982 ◽  
Vol 49 (2) ◽  
pp. 429-431 ◽  
Author(s):  
Z.-M. Ge ◽  
Y.-H. Cheng
Keyword(s):  
Equations Of Motion ◽  
Variable Mass ◽  
Mass System ◽  
Variable Mass System ◽  
Kane’S Equations ◽  
Kane's Equations ◽  
Variable Mass Systems

An extension of Kane’s equations of motion for nonholonomic variable mass systems is presented. As an illustrative example, equations of motion are formulated for a rocket car.

Unified symmetry of nonholonomic mechanical systems with variable mass

2006 ◽  
Vol 15 (5) ◽  
pp. 903-906 ◽  
Author(s):  
Xia Li-Li ◽  
Li Yuan-Cheng ◽  
Hou Qi-Bao ◽  
Wang Jing
Keyword(s):  
Variable Mass ◽  
Mechanical Systems ◽  
Nonholonomic Mechanical Systems

An Energy Theorem for Developing Testing Functions for Numerical Simulations of Dynamic Systems

1995 ◽  
Vol 117 (2) ◽  
pp. 193-198 ◽  
Author(s):  
C. Q. Liu ◽  
R. L. Huston
Keyword(s):  
Kinetic Energy ◽  
Numerical Simulations ◽  
Dynamic Systems ◽  
Mechanical Systems ◽  
Nonholonomic Systems ◽  
Conservation Principle ◽  
Kane’S Equations ◽  
Kane's Equations

This paper presents a kinetic energy theorem, applicable with simple nonholonomic systems. The theorem provides a basis for developing testing functions for measuring the accuracy of numerical simulations—even where no classical conservation principle is applicable. The theorem is established using Kane’s equations for general mechanical systems. A set of general testing functions are then developed. Several examples are presented.

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