Papers by Keyword: Non-Linear Equations

Abstract: An improved differential evolution algorithm for solving nonlinear equations of electrical motor system is explored. The algorithm is to convert equations into an optimization problem and, by keeping consideration of the evolution process and adopting dynamic parameters adjusting mechanism, the algorithm can improve searching efficiency and implement real-time surveillance for population overlapping. The Chaos searching strategy is used for overlapping individual to further improve the ability of global optimization. Analysis results of induction motor motion parameters show that the improved differential evolution algorithm proposed in this paper has high efficiency and powerful global optimization searching ability.

Abstract: A new Multi-degree of freedom motor and its establishing of teeth layer parameters have been introduced in the paper, also including application method of database, namely using Quasi-Newton methods to solve the non-linear equations of the new motors magnetic circuit net, formed a refined method for designing and analyzing of motor. The establishment of 3d tooth layer parameters database, is provided for the calculation in the design of the new type motor conveniently.

Abstract: Aiming at the problem of solving the constraint multibody system dynamic equation, a new method is proposed. This method takes the function of general coordinates to replace the second derivative of the general coordinates in the dynamic equation according to Taylor formula, and considers the converted dynamic equation and system constraint equation as a system of non-linear equations to find the solution by Newton method. Experimental results show that the proposed method is efficient and accurate for solving the constraint multibody system dynamic equation.

Abstract: Microseismic will produce when rock mass break. The occurrence of microseismic monitoring has close relationship to the energy release and crack's evolution in the rock mass. Therefore the microseismic monitoring can be used to predict the future rupture of the rock mass. MS location is the base of this prediction. The method of solving locating equation and the stability of answer are the key matter of microseismic monitoring applications in engineering fields. This paper uses Gauss-Newton iterative method to solve locating equation in order to advancing the precision and stability of answer and reducing the calculation workload. Based on the optimization toolbox of Matlab, the non-linear locating equations are solved and the visible locating results of microseismic are achieved.

Abstract: Aimed at the problem that the deformation resistance can’t be measured in the cold rolling processing and it influence the precision of rolling force directly , propose the secant method to calculate the non-linear equation of deformation resistance. Solve the high-level non-linear equation with the iteration calculation, in which the deformation resistance is the independent variable, to improve the calculation precision of the deformation resistance and rolling force. It is proved that the secant method has less iterations, simpler calculation and smaller relative error, which has a vital meaning in improving the accuracy of rolling force.

Abstract: The debonding of a rigid particle embedded in an infinite non-linear viscoelastic material is investigated in this paper. Under sphere-symmetric deformation, a non-linear equilibrium equation expressed by velocity of a particle in the viscoelastic matrix material is derived. The strain rate is obtained by solving non-linear equation in terms of iterative method. According to the energy criterion, the critical instant of the interfacial debongding is calculated. Numerical results show that the influence of non-linear viscosity on the interfacial debonding is significant.