newton-raphson การใช้

• Newton - raphson method
• The full newton - raphson iterative method with line search is adopted for solution of the obtained discretized equations
• According to newton - raphson ( nr ) method , a new power flow method based on reliable power flow technique is proposed
• When calculation , newton - raphson iteration was applied to solve the set of nonlinear navier - stokes equations in the flow area
• In this thesis , an incremental - iterative solution procedure using the modified newton - raphson iteration is used to solve geometrically nonlinear problems
• Using the newton - raphson iteration method , the node coordinates of elements on the reference configuration or the current configuration , can be obtained efficiently
• During the solving process , the increment form can approximate the differential form and newton - raphson iteration techniques are introduced into the computation
• The final nonlinear algebraic equation set is solved using the step - by - step newton - raphson iteration and the deformed curves for the corresponding state of each load increment can be determined
• A corresponding nonlinear finite element program in fortran is presented and a new stability analysis method about complex slope is proposed , using the newton - raphson method to solve the nonlinear equations
• The calculating results are almost equal whether newton - raphson method or its modified form is used , especially with more times of loading , which indicates that essential of the two methods is same
• We come up with an iterative approach using the newton - raphson method that has good efficiency and accuracy and is free from singularity and non - convergence except in a small region near the center of the earth
• The maximum likelihood parameter estimation is carried out by the improved algorithm of newton - raphson and neld & mead algorithm , which is proved to have better performance of stabilization and convergence
• Furthermore , parameter identification to complex mimo model is presented by means of newton - raphson iteration method . at last , the paper proves that three above methods , which are compared finally , can obtain exact result
• A load flow algorithm including facts devices is presented in this paper . according to the characteristics of the facts devices , establish appropriately the model of load flow , then solves the load flow using the newton - raphson method
• With finite element method and circuit theory , the nonlinear discrete mathematical model of controllable reactor is presented . secondly , since the controllable reactor is nonlinear , newton - raphson method is applied to solve the nonlinear finite element equations
• It is applied in analyzing and calculating static distortion of skylift in virtue of updated lagrange formulation and iterative method with moving coordinates . the solutions are worked out by increment principle and newton - raphson method
• Firstly , based upon analyzing the geometric constraint condition of the nearest points , a method is given to refine the approximated distance between two surfaces through newton - raphson iteration . at the same times , the cases of boundaries are all considered in detail
• In this thesis , ga is initially applied to aeroengine nonlinear mathematical model , the author designs ga ga act as the base of newton - raphson ( mixed algorithm 1 ) and ga alternating with newton - raphson ( mixed algorithm 2 ) three kinds of aeroengine balance equation solution methods . 8 . the theoretical analysis and performance simulation results show that the aeroengine nonlinear mathematical mode not only can maintain the same efficiency with current model , but also can achieve convergence in entire flight scope when balance equation solved in mixed algorithm 2
• We analyze the assembly model and propose a mathematics model and tree - representing model of the assembly who not only has a small data size , but also can be manipulated easily . this thesis not only gives the virtual representing concept the instance representing one , but also defines the concept of assembly constraint such as coupling , being alignment , being coaxial and being equidirectional . based on such concepts , a revised newton - raphson iterative algorithm is proposed , which can deal with the singularity and ill - condition of jacobi matrix
• These geometric nonlinear behaviors such as the sag of inclined cables caused by their own dead weight , the interaction of large bending moment and axial forces in girders and towers , and the large displacement effects are considered during calculation . newton - raphson method and the displacement convergence norm are used to approach the solution iteratively