The conservation law of mechanical energy in variable mass mechanical systems with ideal bilateral holonomic constraints is studied. First, by using the differential equations of the motion of the systems, the equation of energy variation is obtained, and the sufficient and necessary condition under which the conservation law of mechanical energy exists is given. Then, the 27 cases possessing the conservation law are presented.At last, some examples are given to illustrate the application of the result.
吴惠彬,梅凤翔.具有完整约束的变质量系统的机械能守恒律[J].动力学与控制学报,2003,1(1):25~28; Wu Hubin, Mei Fengxiang. Conservation law of mechanical energy in variable mass systems with holonomic constraints[J]. Journal of Dynamics and Control,2003,1(1):25-28.