Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (12): 1319-1323.
张年梅, 杨桂通
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RSS收稿日期:1998-09-15
修回日期:1999-09-05
出版日期:1999-12-18
发布日期:1999-12-18
基金资助:Zhang Nianmei, Yang Guitong
Received:1998-09-15
Revised:1999-09-05
Online:1999-12-18
Published:1999-12-18
Supported by:摘要： In this paper,the dynamics response of beams subjected to transverse harmonic excitation is studied.The nonlinearity of constitutive relations of the beam material is considered.When the buckled beams compressed by axial forces are subjected to transverse period perturbation,the harmonic bifurcates into subharmonic and ultra-subharmonic sequences.The critical conditions for subharmonic and ultra-subharmonic orbits are determined by use of Melnikov method.
中图分类号:
张年梅;杨桂通. SUBHARMONIC AND ULTRA-SUBHARMONIC RESPONSE OF NONLINEAR ELASTIC BEAMS SUBJECTED TO HARMONIC EXCITATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(12): 1319-1323.
Zhang Nianmei;Yang Guitong. SUBHARMONIC AND ULTRA-SUBHARMONIC RESPONSE OF NONLINEAR ELASTIC BEAMS SUBJECTED TO HARMONIC EXCITATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(12): 1319-1323.
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