对非完整系统力学中若干基本原理的质疑

QUERY ON THE VALIDITY OF SOME BASIC PRINCIPLES IN THE THEORY ON MECHANICS OF NONHOLONOMIC SYSTEMS

我们从一则证明得出结论:人们用以得出一阶线性非完整系统广义坐标虚位移满足的关系的 Hlder 原则不是普遍成立的.与此有关,我们作出了几点重要的推论.本文给出了取代 Hlder 原则而获得的一阶线性非完整系统虚位移满足的关系,我们用物理的讲法推荐一种可处理具有任何一阶线性或非线性非完整约束的系统的方法.

We have react зd a conclusion from a proof that HOlder's prirciple with which people obtain the relations that virtual displacaments of generalized coordinates satisfy is not generally valid for first order linear nonholonomic systems.In relation to the respect we wish to draw several important inferences.And this paper intends to provide a substitution for Holder's principle to obtain the relations that virtual displacements satisfy for first order linear nonholonomic systems.We have recommended a method to handle any system with first order linear or nonlinear nonholonomJc constraints in physical terms.