The shape of strip is calculated by iterative method which combines strip plastic deformation model with rolls elastic deformation model through their calculation results, which can be called results coupling method. ...The shape of strip is calculated by iterative method which combines strip plastic deformation model with rolls elastic deformation model through their calculation results, which can be called results coupling method. Be- cause the shape and rolling force distribution are very sensitive to strip thickness transverse distribution% variation, the iterative course is rather unstable and sometimes convergence cannot be achieved. In addition, the calculating speed of results coupling method is low, which restricts its usable range. To solve the problem, a new model cou- pling method is developed, which takes the force distribution between rolls, rolling force distribution and strip＇s exit transverse displacement distribution as basic unknowns, and integrates strip plastic deformation model and rolls elas- tic deformation model as a unified linear equations through their internal relation, so the iterative calculation between the strip plastic deformation model and rolls elastic deformation model can be avoided. To prove the effectiveness of the model coupling method, two examples are calculated by results coupling method and model coupling method re- spectively. The results of front tension stress, back tension stress, strip^s exit gauge, the force between rolls and rolling force distribution calculated by model coupling method coincide very well with results coupling method. How- ever the calculation course of model coupling method is more steady than results coupling method, and its calculating speed is about ten times as much as the maximal speed of results coupling method, which validates its practicability and reliability.展开更多
The elimination method is a general method to solve equations. The resultant method is an important tool in elimination theory. In the analysis of robot pose, equations are solved according to its graph. Resultants ca...The elimination method is a general method to solve equations. The resultant method is an important tool in elimination theory. In the analysis of robot pose, equations are solved according to its graph. Resultants can simplify to solve system equation.展开更多
In this paper, we study the existence result for degenerate elliptic equations with singular potential and critical cone sobolev exponents on singular manifolds. With the help of the variational method and the theory ...In this paper, we study the existence result for degenerate elliptic equations with singular potential and critical cone sobolev exponents on singular manifolds. With the help of the variational method and the theory of genus, we obtain several results under different conditions.展开更多
Generalized robust systems-based theoretical kinematic inverse/regular wedge cam procedures which produce self-centering motion applicable to three-point clamping device design about cylindrical workpieces that vary w...Generalized robust systems-based theoretical kinematic inverse/regular wedge cam procedures which produce self-centering motion applicable to three-point clamping device design about cylindrical workpieces that vary within a prescribed size range are presented.Within such presentment,various parametric(trigonometric,combined loop closure with vector projection/resolution,transformation)and rectangular form(Taylor series approximation,trigonometric substitution&transformation(TS&T),nonlinear ODE)equation methods along with related statics and dynamics are explored.In connection,a simulated unified resultant amplitude method(URAM)is applied for generalization purposes.Moreover,the theoretical framework is validated within the context of a computer-generated model of a mechanism design which demon-strates self-centering over the prescribed design range with negligible to zero error.Furthermore,the static and dynamic analyses are verified through com-puter-aided engineering simulation in conjunction with equilibrium equations and a consideration of various calculus principles.Consequently,the self-centering theoretical formulation coupled with static and dynamic analyses provide for an accurate and generalized quantitative model couched within a holistic systems engineering framework which can be useful for providing state-of-the-art engineering and design optimization of various parameters for developing new and/or improved self-centering gripping devices of the inverse/regular wedge cam type.展开更多
O-F culture medium remains to be important for the detection of nonfermentative bacteria. Currently the widely used O-F culture medium adopts the Hugh-Leifson formula. The authors made a comparative study of the 4 kin...O-F culture medium remains to be important for the detection of nonfermentative bacteria. Currently the widely used O-F culture medium adopts the Hugh-Leifson formula. The authors made a comparative study of the 4 kinds of O F methods and concluded that: the Hugh-Leifson is still a reliable formula, although sometimes展开更多
This paper improves the discrete vortex method for modeling Kelvin-Helmholtz instability and Rayleigh-Tay- lor instability by proper choice of velocity weighted average coefficients, redistribution of markers and succ...This paper improves the discrete vortex method for modeling Kelvin-Helmholtz instability and Rayleigh-Tay- lor instability by proper choice of velocity weighted average coefficients, redistribution of markers and successive adding of computational points with the increase of interfacial deformation and gives the numerical results of Rayleigh-Taylor instability. The numerical results show that the first two techniques greatly enhance the ability of the discrete vortex method for modeling large interracial deformations and the last technique greatly reduces the computational amounts of the numerical modeling at large deformation stage. The numerical modeling of Rayleigh- Taylor instability not only reproduces some phenomena such as the roll up at the end part of the spike observed in experiments but also finds some new phenomena such as the splashes at the roll up parts which needs to be tested by experiment.展开更多
The purpose of this paper is to use a very recent three critical points theorem due to Bonanno and Marano to establish the existence of at least three solutions for the quasilinear second order differential equation o...The purpose of this paper is to use a very recent three critical points theorem due to Bonanno and Marano to establish the existence of at least three solutions for the quasilinear second order differential equation on a compact interval[a,b] R{-u＇＇=（λf（x,u）＋g（u））h（u＇）,in（a,b）,u（a）=u（b）=0under ppropriate hypotheses.We exhibit the existence of at least three（weak）solutions and,and the results are illustrated by examples.展开更多
基金Sponsored by National Science and Technology Support Plan of China (2009AA04Z143)Science and Technology Support Plan of Hebei Province of China (10212101D)Important Natural Science Foundation of Hebei Province of China (E2006001038)
文摘The shape of strip is calculated by iterative method which combines strip plastic deformation model with rolls elastic deformation model through their calculation results, which can be called results coupling method. Be- cause the shape and rolling force distribution are very sensitive to strip thickness transverse distribution% variation, the iterative course is rather unstable and sometimes convergence cannot be achieved. In addition, the calculating speed of results coupling method is low, which restricts its usable range. To solve the problem, a new model cou- pling method is developed, which takes the force distribution between rolls, rolling force distribution and strip＇s exit transverse displacement distribution as basic unknowns, and integrates strip plastic deformation model and rolls elas- tic deformation model as a unified linear equations through their internal relation, so the iterative calculation between the strip plastic deformation model and rolls elastic deformation model can be avoided. To prove the effectiveness of the model coupling method, two examples are calculated by results coupling method and model coupling method re- spectively. The results of front tension stress, back tension stress, strip^s exit gauge, the force between rolls and rolling force distribution calculated by model coupling method coincide very well with results coupling method. How- ever the calculation course of model coupling method is more steady than results coupling method, and its calculating speed is about ten times as much as the maximal speed of results coupling method, which validates its practicability and reliability.
文摘The elimination method is a general method to solve equations. The resultant method is an important tool in elimination theory. In the analysis of robot pose, equations are solved according to its graph. Resultants can simplify to solve system equation.
文摘In this paper, we study the existence result for degenerate elliptic equations with singular potential and critical cone sobolev exponents on singular manifolds. With the help of the variational method and the theory of genus, we obtain several results under different conditions.
文摘Generalized robust systems-based theoretical kinematic inverse/regular wedge cam procedures which produce self-centering motion applicable to three-point clamping device design about cylindrical workpieces that vary within a prescribed size range are presented.Within such presentment,various parametric(trigonometric,combined loop closure with vector projection/resolution,transformation)and rectangular form(Taylor series approximation,trigonometric substitution&transformation(TS&T),nonlinear ODE)equation methods along with related statics and dynamics are explored.In connection,a simulated unified resultant amplitude method(URAM)is applied for generalization purposes.Moreover,the theoretical framework is validated within the context of a computer-generated model of a mechanism design which demon-strates self-centering over the prescribed design range with negligible to zero error.Furthermore,the static and dynamic analyses are verified through com-puter-aided engineering simulation in conjunction with equilibrium equations and a consideration of various calculus principles.Consequently,the self-centering theoretical formulation coupled with static and dynamic analyses provide for an accurate and generalized quantitative model couched within a holistic systems engineering framework which can be useful for providing state-of-the-art engineering and design optimization of various parameters for developing new and/or improved self-centering gripping devices of the inverse/regular wedge cam type.
文摘O-F culture medium remains to be important for the detection of nonfermentative bacteria. Currently the widely used O-F culture medium adopts the Hugh-Leifson formula. The authors made a comparative study of the 4 kinds of O F methods and concluded that: the Hugh-Leifson is still a reliable formula, although sometimes
文摘This paper improves the discrete vortex method for modeling Kelvin-Helmholtz instability and Rayleigh-Tay- lor instability by proper choice of velocity weighted average coefficients, redistribution of markers and successive adding of computational points with the increase of interfacial deformation and gives the numerical results of Rayleigh-Taylor instability. The numerical results show that the first two techniques greatly enhance the ability of the discrete vortex method for modeling large interracial deformations and the last technique greatly reduces the computational amounts of the numerical modeling at large deformation stage. The numerical modeling of Rayleigh- Taylor instability not only reproduces some phenomena such as the roll up at the end part of the spike observed in experiments but also finds some new phenomena such as the splashes at the roll up parts which needs to be tested by experiment.
基金supported in part by grant from IPM(No.89350020)
文摘The purpose of this paper is to use a very recent three critical points theorem due to Bonanno and Marano to establish the existence of at least three solutions for the quasilinear second order differential equation on a compact interval[a,b] R{-u＇＇=（λf（x,u）＋g（u））h（u＇）,in（a,b）,u（a）=u（b）=0under ppropriate hypotheses.We exhibit the existence of at least three（weak）solutions and,and the results are illustrated by examples.
