High-Order Hamilton's Principle and the Hamilton's Principle of High-Order Lagrangian Function

In this paper, based on the theorem of the high-order velocity energy, integration and variation principle, the high-order Hamilton＇s principle of general holonomic systems is given. Then, three-order Lagrangian equations and four-order Lagrangian equations are obtained from the high-order Hamilton＇s principle. Finally, the Hamilton＇s principle of high-order Lagrangian function is given.

The Design and Implementation of New English Reading Teaching Model Under the Guidance of POA Theory

POA theory is a foreign language classroom teaching theoretical system with the Chinese characteristics,which was constructed by the foreign language education expert who named Wen Qiufang.The method takes output as the motivating target,introduces the teaching concept of"learning-using integrated principle",and adopts a new form of"motivating-enabling-assessing",which has reformed the mode of college foreign language classroom teaching.The traditional English reading teaching pays more attention to vocabulary interpretation,syntax analysis and reading skills,so it has been emerging a kind of"grammatical analysis"drawbacks.In view of this,the paper puts forward the thought of using"the production-oriented approach"to make innovation in the process of teaching design.The paper also discusses the application strategy of"production-oriented approach"in professional English reading teaching from three aspects.It requires designing the integral process of teaching,expanding a cooperative learning model and devising the specific tasks.Additionally,the paper points out that Professional English reading teaching should establish the learning task for students at the stage of"output-input".At the same time,the paper uses the development opportunity of"the Silk Road Economic Belt and the 21st-Century Maritime Silk Road"(B&R)as the starting point,which is combed with"cultural globalization"as the theme of reading teaching example.To activate the students'internal cognition and improve their reading ability,the author wants to explore effective strategies for establishing project in professional English reading teaching.The author has made a preliminary attempt in the guide of the method in the classroom,and has confirmed that it has practical feasibility.The teaching method is also applicable to professional English in military colleges and other languages teaching.It will help to promote the English teaching to realize the cultivation of students’comprehensive ability of using English,thinking ability,selflearning ability and comprehensive quality.

GIBBS-APPELL’S EQUATIONS OF VARIABLE MASS NONLINEAR NONHOLONOMIC MECHANICAL SYSTEMS

In this paper, the Gibbs-Appell's equations of motion are extended to the most general variable mass nonholonomie mechanical systems. Then the Gibbs-Appell's equations of motion in terms of generalized coordinates or quasi-coordinates and an integral variational principle of variable mass nonlinear nonholonomie mechanical systems are obtained. Finally, an example is given.