非惯性系中单面约束系统的微分变分原理

Differential variational principles of systems with unilateral constraints in non-inertial reference frame

研究非惯性系中单面约束力学系统的微分变分原理.得到了具有单面完整和单面Chetaev型非完整约束的力学系统的D’Alembert原理、Jourdain原理和Gauss原理,给出了非惯性系中单面约束系统带乘子形式的各类运动方程。

To study the differential variational principles of mechanical systems with unilateral constraints. The principle of D'Alembert, the principle of Jourdain and the principle of Gauss of mechanical systems with unilateral holonomic constraints or with unilateral Chetaev non-holonomic constraints are obtained, and the equations of motion with multipliers of systems with unilateral constraints in Non-Inertial Reference Frame are given.