变形体重力做功的研究

刚体是从实物抽象出的理想模型,其重心相对刚体是不变的,变形体的形状是会发生改变的,其重心相对实际物体的位置是变化的,因此在运动过程中,重力做功的计算比质点及刚体在运动过程中重力做功的计算要复杂得多．本文对变形体重力做功进行了研究,并总结了变形体重力做功的三种计算方法:根据重力做功与重力势能变化的关系计算,根据重力做功的定义计算,用微元法计算．

The Research on Deformable Gravity Acting

The rigid body is the ideal model which abstracts from a real object, and its centre of gravity is invariable in relation to rigid body, while its shape will change and its centre is variable in relation to the real object position; therefore, in the moving process, the gravity acting computation is much more complex than the acting computation of the particle and the rigid body. The thesis researches on deformable gravity acting, and sums up three computations: to compute according to the relations between the gravity acting and its potential energy's change, to compute according to the definition of the gavity acting, and to compute by the infinitesimal method.