Mathematical analysis and numerical solution of models with dynamic Preisach hysteresis
نویسندگان
چکیده
منابع مشابه
Preisach Hysteresis Modeling and Applications
Preisach modeling, long known in the area of magnetics, has introduced mathematical abstraction to the modeling of the highly nonlinear and complex phenomenon of hysteresis. The 2D Preisach-type models presented here, departing slightly from the classical formulation, waive some of its limitations while maintaining the major advantages of simplicity and speed in calculations. Results on differe...
متن کاملSymplectic and symmetric methods for the numerical solution of some mathematical models of celestial objects
In the last years, the theory of numerical methods for system of non-stiff and stiff ordinary differential equations has reached a certain maturity. So, there are many excellent codes which are based on Runge–Kutta methods, linear multistep methods, Obreshkov methods, hybrid methods or general linear methods. Although these methods have good accuracy and desirable stability properties such as A...
متن کاملMathematical Models of Hysteresis
1.1 Hysteresis Operators 3 1.2 The Duhem Model 13 1.3 Rheological Models of Elasto-plasticity 17 1.4 Discontinuous Hysteresis 35 1.5 Micromagnetism 45 1.6 Models of Hysteresis with Internal Variables 56 1.7 Genesis of Hysteresis and Coupling with PDEs 62 1.8 A Transport Equation with Hysteresis 69 1.9 A Quasilinear Parabolic PDE with Hysteresis 78 1.10 A Quasilinear Hyperbolic PDE with Hysteres...
متن کاملvalidation of a revised logical-mathematical intelligence scale and exploring its relationship with english language proficiency
نظریه هوش چندگانه قسمتهای متفاوت هوش بشری را مورد بررسی قرار می دهد که با شناخت آن شخص به درک بهتری از توانایی های خود میرسد و در نتیجه سعی در استفاده از آن جهت یادگیری بهتر میکند. همچنین با شناخت استعداد دانش آموزان، فرایند یادگیری بهتر میشود. هدف از انجام دادن این تحقیق بررسی رابطه بین هوش ریاضی و استعداد یادگیری زبان انگلیسی میباشد. برای انجام این تحقیق از پرسشنامه هوش ریاضی که توسط شیرر در ...
Numerical integration of ODEs with Preisach nonlinearity
In this article we discuss applications of the numerical integration methods to the ordinary differential equations with the Preisach nonlinearity. We use a canonical model of the iron pendulum in the magnetic field as an example of the technique. In particular we use guaranteed estimates of the integration error to rigorously prove the chaotic behaviour of the system considered. MSC 2000: Prim...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2020
ISSN: 0377-0427
DOI: 10.1016/j.cam.2019.112452