Abstract: This paper is a continuation of a previous one. We still emphasize the discussionon the relation between the dynamics on the base space of a rector bundle and that oneach associated bundle of frames.
Abstract: It is more satisfactory for fluid materials between viscous and elastic to introducethe fractional calculus approach into the constitutive relationship. This paper employsthe fractional calculus approach to study second fluid flow in a paper. First, we derivethe analytical solution which the derivate order is half and then with the analytical solution we verify the reliability of Laplace numerical inversion based on Crumpalgouithm for the problem, and finally we analyze the characteristics of second order fluid flow in a pipe by using Crump method. The results indicate that the more obviousthe viscoelastic properties of fluid is, the more sensitive the dependence of velocity andstress on fractional derivative order is.
Abstract: In this paper,the Kane's equations for the Routh's form of variable massnonholonomic systems are established.and the Kane's equations for percussion motionof variable mass holonomic and nonholonomic systems are deduced from them. Secondly,the equivalence to Lagrange's equations for percussion motion and Kane'sequations is obtained,and the application of the new equation is illustrated by an example.
Abstract: By the improvement of Riks' and Crisfield's arc-length method,the adaptive parameter incremental method is preasted for predicting the snapping response of structures. Its justification is fulfilled. Finally,the effectiveness of this method is demonstrated by solving the snapping response of spherical caps subjected to centrally distributed pressures.
Abstract: Because of the extensive applications of nonlinear ordinary differential equation in physics,mechanics and cybernetics,there have been many papers on the exact solution to differential equation in some major publications both at home and abroad in recent years Based on these papers and in virtue of Leibniz formula,and transformation set technique,this paper puts forth the solution to nonlinear ordinary differential equation set of higher-orders, moveover,its integrability is proven.The results obtained are the generalization of those in the references.
Abstract: We present a new method to calculate the focal value of ordinary differential equation by applying the theorem defined the relationship between the normal form and focal value,with the help of a symbolic computation language MATHE-MATICA,and extending the matrix representation method.This method can be used to calculate the focal value of any high order terms.This method has been verified by an example.The advantage of this method is simple and more readily applicable.the result is directly obtained by substitution.
Abstract: In ref.,the wave solutions of nonlinear heat conduction equation are studied. In it, the similar variable ξ is wave variable and it is assumed that the heat conduction coefficient is only the function of the similar variable ξ.In this paper the author forsakes the above-mentioned restraints and studies the similar solutions of the nonlinear conduction equation from the more general angles.