SUBHARMONIC AND ULTRA_SUBHARMONIC RESPONSE OF NONLINEAR ELASTIC BEAMSSUBJECTED TO HARMONIC EXCITATION  

作　　者：张年梅 杨桂通 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1999年第12期1319-1323,共5页应用数学和力学（英文版）

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.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.

关 键 词：NONLINEAR dynamic system BIFURCATION 

分 类 号：O342[理学—固体力学]