| 正弦荷载作用下浮冰的稳态响应近似解析解 |
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| 引用本文： | 胡明勇,张志宏,顾建农,姚俊.正弦荷载作用下浮冰的稳态响应近似解析解[J].华中科技大学学报(自然科学版),2012,40(2):58-61. |
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| 作者姓名： | 胡明勇 张志宏 顾建农 姚俊 |
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| 作者单位： | 1. 海军工程大学理学院,湖北武汉,430033
2. 沈阳理工大学科技处,辽宁沈阳,110168 |
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| 基金项目： | 科技部基础研究资助项目 |
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| 摘 要： | 为了解决浮冰在正弦荷载作用下的稳态响应问题，把浮冰视作黏弹性的浮板，利用汉克尔变换和拉普拉斯变换求解了浮冰在正弦荷载作用下的动力学方程，得到了其近似解析解以及数值计算结果．分析了正弦荷载频率对仿冰材料浮板稳态响应的影响，揭示了黏弹性浮冰的动力学现象．结果表明：当正弦荷载的频率为某一确定值时，浮冰的振动幅值会达到最大值，正弦荷载的频率对破冰效果影响较大．
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| 关 键 词： | 正弦荷载 浮冰 稳态响应 汉克尔变换 黏弹性 |
Approximate analytical solutions of steady response of floating ice plate under sinusoidal loading |
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| Hu Mingyong,Zhang Zhihong,Gu Jiannong,Yao Jun.Approximate analytical solutions of steady response of floating ice plate under sinusoidal loading[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2012,40(2):58-61. |
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| Authors: | Hu Mingyong Zhang Zhihong Gu Jiannong Yao Jun |
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| Institution: | 1 College of Science,Naval University of Engineering,Wuhan 430033,China; 2 Department of Science and Technology,Shenyang University of Technology,Shenyang 110168,China) |
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| Abstract: | The problem of the steady response of floating ice under sinusoidal loading was addressed.The dynamic equation of viscoelastic floating ice plate under sinusoidal loading was solved through the Hankel transformation and the Laplace transformation.Approximate analytical solutions and numerical calculation results of transient response of viscoelastic floating ice under sinusoidal loading were obtained.The influences of frequencies of sinusoidal loading on the displacement response of floating imitation-ice plate were discussed.Plenty of dynamic properties of viscoelastic floating ice plate were revealed.The results show that the frequency of sinusoidal loading is adjusted to a certain value,then the vibration amplitude of floating plate reaches the maximum value.The frequency of sinusoidal loading has greater effect on breaking ice. |
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| Keywords: | sinusoidal loading floating ice transient response Hankel transformation Laplace transformation~ viscoelastic |
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