MATHEMATICAL-MODELS FOR HYSTERESIS

被引:375
作者
MACKI, JW [1 ]
NISTRI, P [1 ]
ZECCA, P [1 ]
机构
[1] UNIV FLORENCE,FAC INGN,DIPARTIMENTO SISTEMI & INFORMAT,I-50139 FLORENCE,ITALY
关键词
HYSTERESIS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; DIFFERENTIAL INCLUSIONS; PERIODIC SOLUTIONS;
D O I
10.1137/1035005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The various existing classical models for hysteresis, Preisach, Ishlinskii, Duhem-Madelung, are surveyed, as well a more modern treatments by contemporary workers. The emphasis is on a clear mathematical description of the formulation and properties of each model. In addition the authors try to make the reader aware of the many open questions in the study of hysteresis.
引用
收藏
页码:94 / 123
页数:30
相关论文
共 63 条
[1]   A NEW APPROACH TO PREISACH DIAGRAMS [J].
ATHERTON, DL ;
SZPUNAR, B ;
SZPUNAR, JA .
IEEE TRANSACTIONS ON MAGNETICS, 1987, 23 (03) :1856-1865
[2]  
Babucka I., 1959, APL MATER, V4, P303
[3]   MAGNETIC HYSTERESIS AND MINOR LOOPS - MODELS AND EXPERIMENTS [J].
BARKER, JA ;
SCHREIBER, DE ;
HUTH, BG ;
EVERETT, DH .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1983, 386 (1791) :251-261
[4]   ERROR-BOUNDS FOR GENERAL DESCRIBING FUNCTION PROBLEMS [J].
BERGEN, AR ;
CHUA, LO ;
MEES, AI ;
SZETO, EW .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1982, 29 (06) :345-354
[5]   JUSTIFICATION OF DESCRIBING FUNCTION METHOD [J].
BERGEN, AR ;
FRANKS, RL .
SIAM JOURNAL ON CONTROL, 1971, 9 (04) :568-&
[6]   ANALYTICAL THEORY OF THE BEHAVIOUR OF FERROMAGNETIC MATERIALS [J].
BIORCI, G ;
PESCETTI, D .
NUOVO CIMENTO, 1958, 7 (06) :829-842
[7]   SOME REMARKS ON HYSTERESIS [J].
BIORCI, G ;
PESCETTI, D .
JOURNAL OF APPLIED PHYSICS, 1966, 37 (01) :425-&
[8]  
BOUC R, 1971, ACUSTICA, V24, P16
[9]  
BOUC R, 1966, CR ACAD SCI A MATH, V263, P497
[10]  
BRAVERMAN EM, 1976, AUTOMAT REM CONTR+, V37, P1640