| 粘性阻尼作用下粘性杆振动的定解问题 |
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| 引用本文： | 郭艾,叶超.粘性阻尼作用下粘性杆振动的定解问题[J].甘肃科学学报,1999,11(1):19-21. |
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| 作者姓名： | 郭艾 叶超 |
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| 作者单位： | 甘肃工业大学应用数学研究所 |
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| 基金项目： | 甘肃工业大学科研发展基金 |
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| 摘 要： | 讨论了带有粘性阻尼的粘弹性杆的非线性纵振动问题，其数学模型为非线性拟双曲型积分微分方程。用积分方程的理论和Ｇａｌｅｒｋｉｎ方法证明了问题整体强解的存在性。
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| 关 键 词： | 粘性阻尼 非线性纵振动 粘弹性杆 振动 定解问题 |
| 修稿时间： | 1998-10-12 |
INITIAL BOUNDARY VALUE PROBLEMS WHICH DESCRIBE THE VIBRATIONS OF RODS WITH VISCOELASTICITY IN VISCOSE DAMPING |
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| Guo Ai\ \ Ye Chao.INITIAL BOUNDARY VALUE PROBLEMS WHICH DESCRIBE THE VIBRATIONS OF RODS WITH VISCOELASTICITY IN VISCOSE DAMPING[J].Journal of Gansu Sciences,1999,11(1):19-21. |
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| Authors: | Guo Ai\ \ Ye Chao |
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| Abstract: | This paper presents the study of studies the nonlinear vibrations of finite rods with viscoelasticity in viscose damping.The mathematical model is the nonlinear pseudo hyperbolic integro differential equation.By using the theory of integral equations and the Galerkin method we proved the existence of the global strong solution of the problems. |
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| Keywords: | viscose damping nonlinear vibration initial boundary value problems Galerkin method global strong solution |
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