| 二次和一般三次非线性弹性系统1/2阶亚谐共振之比较 |
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| 引用本文： | 高奇华,吴立人.二次和一般三次非线性弹性系统1/2阶亚谐共振之比较[J].哈尔滨工程大学学报,1993(3). |
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| 作者姓名： | 高奇华 吴立人 |
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| 作者单位： | 哈尔滨船舶工程学院
(高奇华)，镇江船舶学院(吴立人) |
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| 基金项目： | 国家自然科学基金资助课题 |
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| 摘 要： | 具有二次非线性弹性振动系统1/2阶亚谐共振在两个分叉频率之间有一不稳定域.研究表明,加入三次非线性弹性可以抑制不稳定性,而在一定频率范围出现跳跃现象,且两种系统发生1/2阶亚谐共振的条件在一阶近似下相同.
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| 关 键 词： | 二次非线性 亚谐共振 稳定性 |
Comparison Between 1 / 2-Order Subharmonic Resonances of Elastic Systems with Quadratic and General Cubic Nonlinearities |
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| Gao Qihua, Wu Liren.Comparison Between 1 / 2-Order Subharmonic Resonances of Elastic Systems with Quadratic and General Cubic Nonlinearities[J].Journal of Harbin Engineering University,1993(3). |
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| Authors: | Gao Qihua Wu Liren |
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| Affiliation: | Gao Qihua; Wu Liren
(Harbin Shipbuilding Engineering Institute) (Zhenjiang Shipbuilding Institute) |
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| Abstract: | There is an unstable domain between two bifurcate frequencies in 1/2-order subharmonic resonance of elastic system with quatratic nonlinearity.Investigation presented in this paper shows that the unstability could be suppressed by adding cubic nonlinear elasticity.However, jump phenomena would occur when the exciting frequency falls into certain domain.It is also shown that the conditions of appearing of 1/2-order subharmonic resonance are the same for these two systems in the sense of the first-order approximation. |
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| Keywords: | quadratic nonlinearity subharmonic resonance stability |
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