AN APPLICATION OF THE POINCARE MAP TO THE STABILITY OF NON-LINEAR NORMAL-MODES

被引：33

作者：

MONTH, LA ^{[1
]}

RAND, RH ^{[1
]}

机构：

[1] CORNELL UNIV,DEPT THEORET & APPL MECH,ITHACA,NY 14853

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1980年 / 47卷 / 03期

关键词：

Hamiltonians;

D O I：

10.1115/1.3153747

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The stability of periodic motions (nonlinear normal modes) in a nonlinear two-degree-offreedom Hamiltonian system is studied by deriving an approximation for the Poincare map via the Birkhoff-Gustavson canonical transofrmation. This method is presented as an alternative to the usual linearized stability analysis based on Floquet theory. An example is given for which the Floquet theory approach fails to predict stability but for which the Poincare map approach succeeds. © 1980 by ASME.

引用

页码：645 / 651

页数：7

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