受匀速转动约束的变质量非完整力学系统的Appell方程

本文建立受匀速转动约束的变质量非完整力学系统l...     

受匀速转动约束的变质量完整力学系统的运动微分方程

本文建立受匀速转动约束的变质量完整力学系统的运动微分方程,包括Lagrange形式的方程,Nielsen形式的方程和Appell形式的方程,并举例说明这些新型方程的应用。     

变质量高阶非完整力学系统的运动微分方程

本文建立变质量力学系统的万有D'Alembert原理,由此导出变质量高阶非完整力学系统各种形式的运动微分方程,最后举例说明这些新型方程的应用.     

DIFFERENTIAL EQUATIONS OF MOTION FOR A VARIABLE-MASS HOLONOMIC SYSTEM WITH A UNIFORMLY ROTATING CONSTRAINT

In this paper,the differential equations of motion will be established for variable-massholonomic mechanical systems constrained to the uniform rotation.including the equationsin Lagrange form,Nielsen form and Appell form.The application of these new equations isillustrated with an example.     

变质量高阶非完整系统分析力学中的Nielsen算子和Euler算子

本文提出与研究变质量高阶非完整系统分析力学中Nielsen算子和Euler算子的定义,建立两类算子之间关系的若干定理。应用这些定理得到变质量高阶非完整系统的若干新型运动微分方程。     

Differential equations of motion for a variable-mass holonomic system with a uniformly rotating constraint

In this paper, the differential equations of motion will be established for variable-mass holonomic mechanical systems constrained to the uniform rotation, including the equations in Lagrange form. Nielsen form and Appell form. The application of these new equations is illustrated with an example.     

EQUATIONS OF MOTION OF VARIABLE MASS IN HIGH-ORDER NON-HOLONOMIC MECHANICAL SYSTEM

The paper establishes the universal D’Alembert’s principle in variable massmechanical system.Then derives the different kinds of the differential equations of variablemass in high-order non-holonomic mechanical system.Finally,the applications for example are illustrated by these mew equations.