| 有限形变和粘弹性阻尼对纵向应变孤波的影响 |
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| 引用本文： | 邹凤梧,陈敏.有限形变和粘弹性阻尼对纵向应变孤波的影响[J].华中科技大学学报(自然科学版),1991(2). |
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| 作者姓名： | 邹凤梧 陈敏 |
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| 作者单位： | 华中理工大学物理系
(邹凤梧)，岳阳范师专科学校(陈敏) |
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| 摘 要： | 本文用微扰理论方法,详细地研究了非线性弹性杆中纵向应变孤波在有限形变和线性粘弹性阻尼作用下的演变规律.发现有限形变和线性粘弹性阻尼对纵向应变孤波的主要影响是:a.孤波发生形变;b.孤波的传播速度减小;C.孤波的能量发生耗散;d.孤波后面会生长出一条振荡形状的小尾迹.当忽略有限形变和线性粘弹性阻尼时,应变孤波的能量是一个常数,这种能量的聚集可能导致杆的非线性结构断裂.
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| 关 键 词： | 非线性弹性杆 孤立子 有限形变 粘弹性阻尼 纵向应变 |
The Influence of Finite Deformation and Viscoelastic Damping on Longitudinal Strain Solitary Waves |
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| Zou Fengwu Chen Min.The Influence of Finite Deformation and Viscoelastic Damping on Longitudinal Strain Solitary Waves[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1991(2). |
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| Authors: | Zou Fengwu Chen Min |
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| Institution: | Zou Fengwu Chen Min |
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| Abstract: | By using the perturbation theory, the evolution of the longitudinal strain solitary wave in the presence of finite deformation and under linear viscoelastic damping in a nonlinear elastic rod is studied. It is shown that the main effects of finite deformation and linear viscoelastic damping on a longitudinal strain solitary wave are as follows; a. distortion in wave form; b. slowdown in wave propagation speed; c. dissipation of wave energy; d. formation of an oscillating trail of small amplitude. When finite deformation and linear viscoelastic damping are neglected, the energy of the strain solitary wave is a constant. The accumulation of energy may lead to nonlinear structural fracture of the rod. These effects are investigated in detail by the Korteweg-de Vries equation and the modified Korteweg-de Vries equation with small perturbation. |
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| Keywords: | Nonlinear elastic rod Soliton Finite deformation Viscoel-astic damping Longitudina strain |
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