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等截面梁纯弯曲振动时产生混沌的参数条件研究 被引量：3

Parametric condition for chaos occurrence of a beam under bending vibration
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摘要 建立了等截面梁纯弯曲振动时的非线性动力学方程;根据非线性动力学理论,对等截面梁系统的奇点分布和稳定性进行了研究;利用混沌动力学理论,得到了等截面梁纯弯曲振动时产生混沌的参数条件;依据该条件,对匀质等截面简支梁纯弯曲振动时产生混沌的参数条件进行了研究和分析,得出了产生混沌的参数分界线。 The nonlinear dynamic equation of a beam with unique cross-section under pure bending vibration was developed.According to theory of nonlinear dynamics,the singular point and stability of the system was studied.Using theory of chaos,the parametric condition of the beam for chaos occurence under pure bending vibration was explored.According to the parametric condition,the parametric condition of a simply supported beam with unique cross-section for chaos occurence under pure bending vibration was studied the parameter boundary for chaos occurence were obtained.
作者 唐果 陈安华 郭源君
机构地区 湖南科技大学数学与计算科学学院 机械设备健康维护湖南省重点实验室
出处 《振动与冲击》 EI CSCD 北大核心 2011年第4期194-197,210,共5页 Journal of Vibration and Shock
基金 国家自然科学基金资助项目(50775071) 湖南省自然科学基金项目(10JJ6008) 湖南省教育厅重点项目(06A018)
关键词 等截面梁 简支 混沌 参数条件 beam with unique cross-section chaos simply supported parametric condition
分类号 O322 [理学—一般力学与力学基础]
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参考文献13

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共引文献55

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振动与冲击
2011年 第4期

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