| 变截面粘弹性直杆固有纵振渐近解及分析 |
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| 引用本文： | 禹金云.变截面粘弹性直杆固有纵振渐近解及分析[J].振动与冲击,2001,20(3):65-67. |
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| 作者姓名： | 禹金云 |
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| 作者单位： | 湘潭工学院湘潭 411201 |
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| 摘 要： | 建立了适合于各种粘弹性模型变截面弹性杆固有纵振的普遍动力学方程，采用含有大参数二阶线性齐次方程的渐近解研究了变截面粘弹性直杆的固有纵振，通过实例计算验证了该渐近解的精度很高，并讨论分析了粘性系数对变截面弹性直杆固有纵振频率的影响。
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| 关 键 词： | 变截面粘弹性直杆 固有纵振 渐近解 粘性系数 频率 动力学方程 二阶线性齐次方程 |
| 修稿时间： | 2001年2月5日 |
Asymptotic Solution and Analysis of the Longitudinal Natural Vibration of Viscoelastic Straight Rods with Variable Sections |
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| Yu Jinyun.Asymptotic Solution and Analysis of the Longitudinal Natural Vibration of Viscoelastic Straight Rods with Variable Sections[J].Journal of Vibration and Shock,2001,20(3):65-67. |
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| Authors: | Yu Jinyun |
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| Abstract: | The general dynamic equation for the longitudial natural vibration of various viscoelastic straight rods with variable sections is developed.The asymptotic solution for second_order,linear,homogeneous equation with large parametes is used and the longitudinal natural vibrations of viscoelastic straight rods with variable sections are analyzed.An example of numerical computation proves that the precision of the asymptotic solution is high enough,and the influence of viscid parameters on the longitudinal natural frequency is discussed. |
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| Keywords: | variable sections viscoelastic straight rod longitudinal natural vibration asymptotic solution viscid parameter |
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