Abstract: The Fast Muotipole Element Method (FM-BEM) has been applied to large scale engineering problems successfully. The Theorem of the fast multipole method (FMM) expansions of the kernels for 3D elastic FM-BEM are obtained and proved（Theorem 2）, furthermore, the mathematical foundation of the FM-BEM is completed.
Abstract: The purpose is to study the variational method for impact problem of a non-ideal constraint system. Compared to an ideal constraint system, a non-ideal constraint system has more practical engineering background, but it contains unknown non-ideal constraint forces, which usually can be written as the function of ideal constrained forces. The existing analytical method on ideal constraint systems does not contain constraint forces. The non-ideal constraint forces are considered for impact problems in the variational principle, and then by method of Lagrange multipliers, equations for impact motion of a holonomic system and an expression of the kinetic energy variation during the impact motion are obtained.
Abstract: The BP network model is established to predict the Zinc Coating Weight for C608/708 hot-dip galvanizing line. The model develops as the simulation function of jet pressure, nozzle to strip distance, nozzle to zinc bath distance, strip velocity and thickness. Compare the prediction precision of different models when the number of neurons in network is five, ten or fifteen. The models have better effect in use after put into production and can be used for other hot-dip galvanizing lines.
Abstract: The paper deals with numerical considerations of buckling phenomena in steel strip during rolling and leveling of sheet metal. The self-equilibrating stress states due to residual strains caused by the rolling process are calculated by the spline function method. The developed numerical model provides an estimation of buckling critical loads and wave configuration. It is shown how the waves observed on the strip sliding over or lying on a rigid plane, so one can provide information about the distribution of the differences in the plastic strains over the width of the strip which leads to the buckled configuration. The spline function method proposed in this paper is simpler and more convenient than traditional finite element method in the buckling analysis.
Abstract: Aiming at the control of the secondary regulation speed control system, A new-type of fuzzy neural networks is used in the parameters setting of PID controller, which is helpful to overcome the uncertainty, nonlinearity and time-variability of the system. By establishing the mathematic model of the system, Simulation research are carried out. Simulation results indicate that the fuzzy neural networks model improves the dynamic response of the system.
Abstract: In this paper the main factors of impacting the quality in cutting the plate between the Shear blade clearance adjustment and control were analyzed, Focused on further analyzing all relevant factors on adjusting the Shear blade clearance , combined with the accumulated process parameters in production of Thick Steel Plate Plant of He Bei Wen Feng Iron and Steel Co., Ltd. Proposed for the first time the mathematical models of the best adjusting of Shear blade clearance of disk shear in cutting plate.
Abstract: It is difficult to identify distribution types and to estimate parameters of the distribution for small sample censored data when you deal with mechanical equipment reliability analysis. Here, an intelligent distribution identification model was established based on statistical learning theory and the algorithm of multi-element classifier of Support Vector Machine (SVM), and also applied to parameter estimation of small sample censored data, in order to improve the precision of traditional method. Firstly, the algorithm of training based on SVM and the RBF kernel function was selected; secondly, the parameters of the distributions characteristics were drawn; on the basis of these conditions, the distributions identification model and the parameter estimation model were finally constructed. And the model was verified with Monte Carlo simulation method. The results indicate that the new algorithm has more preferable performance in distribution type identification and parameter estimation than the traditional methods.
Abstract: An algorithm is presented for maximum likelihood estimation (MLE) of three-parameter Weibull distribution in this paper, which is not only suitable for uncensored data but also appropriate for various censored data. Firstly, a unified likelihood equation under censored data and uncensored data was built. Here, the second-order convergent Newton-Raphson iteration method was applied to solve the MLE of two-parameter Weibull distribution, which had only scale parameter and shape parameter with a given positional parameter. Then, the steady and rapid Brent search method was applied to solve the optimal solution of the likelihood function just with a single variable of positional parameter. Finally, several examples were given to demonstrate the stability and efficiency of this algorithm.