ANALYSIS OF NON-LINEAR AUTONOMOUS CONSERVATIVE OSCILLATORS BY A TIME TRANSFORMATION METHOD

被引:30
作者
BURTON, TD
HAMDAN, MN
机构
关键词
D O I
10.1016/0022-460X(83)90505-9
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
引用
收藏
页码:543 / 554
页数:12
相关论文
共 18 条
[1]   APPROXIMATE ANALYSIS OF NONLINEAR, NON-CONSERVATIVE SYSTEMS USING ORTHOGONAL POLYNOMIALS [J].
ANDERSON, GL .
JOURNAL OF SOUND AND VIBRATION, 1973, 29 (04) :463-474
[2]  
ATKINSON CP, 1962, 4TH ASME P NAT C APP, P57
[4]  
Cap F. F., 1974, International Journal of Non-Linear Mechanics, V9, P441, DOI 10.1016/0020-7462(74)90010-9
[5]   APPLICATION OF ULTRASPHERICAL POLYNOMIALS TO NON-LINEAR OSCILLATIONS .2. FREE OSCILLATIONS [J].
DENMAN, HH ;
LIU, YK .
QUARTERLY OF APPLIED MATHEMATICS, 1965, 22 (04) :273-&
[6]   CONVERGENCE OF AN ITERATIVE METHOD FOR STUDYING NONLINEAR OSCILLATIONS WITHOUT DAMPING [J].
EINAUDI, F .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1975, 29 (01) :1-11
[7]   CONVERGENT NONLINEAR PERTURBATION-THEORY WITHOUT SMALL DENOMINATORS OR SECULAR TERMS [J].
EMINHIZER, CR ;
HELLEMAN, RHG ;
MONTROLL, EW .
JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (01) :121-140
[8]   ASSESSMENT OF THE POINCARE SCHEME FOR NONLINEAR OSCILLATORS AND AN IMPROVEMENT OF ITS RANGE OF VALIDITY [J].
ENGIN, H ;
ASKAR, A ;
CAKMAK, AS .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1979, 14 (5-6) :305-314
[9]  
Gelb A., 1968, MULTIPLE INPUT DESCR
[10]   NONLINEAR PERTURBATION-THEORY WITHOUT SECULAR TERMS .1. CLASSICAL COUPLED ANHARMONIC OSCILLATORS [J].
HELLEMAN, RH ;
MONTROLL, EW .
PHYSICA, 1974, 74 (01) :22-74