The method of convolution-type point collocation to calculate the beam with arbitrary boundary conditions was presented by using series function in time domain and the mode shape function of the beam in space domain. And this method is applied to solve dynamic problems of beam with arbitray boundary condition. The calculation example showed this method was very simple, highly accurate and effective.
Due to the electric commodity has universal service obligation, the existence of cross subsidy is reasonable. But as the resident demand increasing highly, the range of cross subsidy is expanding which result in unfairness between different residents. In order to encourage residents using electricity reasonably, frugally, fairly and environment-friendly, appropriate method should be implemented as a guide. The paper discusses the necessity of the stepped increasing electricity price and suggests a new idea that retain the peak-valley price while implement the step price. According to analysis, the model can not only recover the distribution company costs but also effectively play the electricity price adjustment demand leverage, which greatly promote the energy conservation, environmental protection and social harmony.
Dynamic analysis of elastic body for plate and shell is important and difficult to solute. The convolution-type weighted residuals method is a new method, which is applied to solve dynamic problems. And the method of convolution-type point collocation is applied to solve dynamic problems of thin shell. An effective approach to structural dynamic analysis of thin shell is provided.
The city transportation status is directly related to the taxi supply arrangements during evening rush hours. The operation times, operation nature, operation requirements, vehicle resource types and quantities will have big influence on taxi drivers’ dispatchments, it is comparatively difficult to dispatch reasonably. This paper uses Lagrange Relaxation to solve the problem of taxi supply and demand during evening rush hours. NP-Hardness is the difficult point of dispatchments, thus Lagrange method is used to result an optimal solution on taxi dispatchments within reasonable calculating time, while the bottom limits of the approximate optimal solution and the approximate solution are resulted as well. This method can effectively solve the problem of the balance of taxi supply and demand during evening rush hours. Based on this, the dual problem is solved by using incremental subgradient method, while an improved strategy is proposed to rise the convergence rate.
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