OBSERVATIONS ON NUMERICAL-METHOD DEPENDENT SOLUTIONS OF A MODIFIED DUFFING OSCILLATOR

被引:7
作者
ADDISON, PS
CHAN, AHC
ERVINE, DA
WILLIAMS, KJ
机构
来源
COMMUNICATIONS IN APPLIED NUMERICAL METHODS | 1992年 / 8卷 / 08期
关键词
D O I
10.1002/cnm.1630080806
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Numerical solutions of a non-linear oscillator have been produced by various methods. Some unexpected discrepancies have been found in the solutions obtained. This behaviour is reported herein, and the implications to the application of numerical methods to non-linear dynamical systems are discussed.
引用
收藏
页码:519 / 528
页数:10
相关论文
共 12 条
[1]  
BERT CW, 1987, 24TH ANN TECHN M SOC
[2]   FAST FOURIER TRANSFORM AND ITS APPLICATIONS [J].
COOLEY, JW ;
LEWIS, PAW ;
WELCH, PD .
IEEE TRANSACTIONS ON EDUCATION, 1969, E 12 (01) :27-&
[3]  
DUFFING G, 1973, NONLINEAR RANDOM VIB, P253
[4]  
GERALD CF, 1984, APPLIED NUMERICAL AN, P15
[5]  
Hughes T.J.R., 1987, FINITE ELEMENT METHO, P490
[6]   A UNIFIED SET OF SINGLE STEP ALGORITHMS .3. THE BETA-M METHOD, A GENERALIZATION OF THE NEWMARK SCHEME [J].
KATONA, MG ;
ZIENKIEWICZ, OC .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1985, 21 (07) :1345-1359
[7]  
LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
[8]  
2
[9]  
LOW BB, 1931, MATHEMATICS
[10]   IMPROVED STIFFLY STABLE METHOD FOR DIRECT INTEGRATION OF NONLINEAR STRUCTURAL DYNAMIC EQUATIONS [J].
PARK, KC .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1975, 42 (02) :464-470