| 非线性材料柱在轴向激励下的1/2亚谐共振特性 |
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| 引用本文： | 陈红文.非线性材料柱在轴向激励下的1/2亚谐共振特性[J].湖南文理学院学报(自然科学版),2009,21(4):27-29. |
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| 作者姓名： | 陈红文 |
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| 作者单位： | 常德市穿紫河建设开发有限公司,湖南,常德,415000 |
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| 摘 要： | 在考虑材料的非线性本构关系基础上,建立了非线性材料柱在轴向激励下纵向振动的非线性动力方程,采用谐波平衡方法求得了非线性材料柱在轴向激励下的1/2亚谐共振的近似解,并讨论分析了非线性材料柱在轴向激励下的1/2亚谐共振周期解的稳定性,给出了其动力不稳定的条件. 经讨论分析可知:随着轴向激励力振幅的增大,非线性材料柱1/2亚谐共振的振幅、共振区域、不稳定区域也增大;随着非线性材料柱的横截面积的增大,非线性材料柱1/2亚谐共振的振幅、不稳定区域将减小,共振区域则增大.
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| 关 键 词： | 非线性 柱 轴向激励 亚谐共振 |
1/2 subharmonic resonance characteristics of nonlinear material column under axial excitation |
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| CHEN Hong-wen.1/2 subharmonic resonance characteristics of nonlinear material column under axial excitation[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2009,21(4):27-29. |
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| Authors: | CHEN Hong-wen |
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| Institution: | CHEN Hong-wen (Changde Chuanzi Construction , Development Co.Ltd,Changde,Hunan,415000) |
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| Abstract: | The nonlinear dynamic equation was found for longitudinal vibration of nonlinear material column under axial excitation on the base of considering the nonlinear constitutive relation for the materials,approximate solution for 1/2 subharmonic resonance of nonlinear material column under axial excitation was obtained by harmonic balance method,and the stability was discussed for periodic solution by 1/2 subharmonic resonance of nonlinear material column under axial excitation,then the dynamic instability cond... |
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| Keywords: | nonlinearity column axial excitation subharmonic resonance |
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