| 弹性约束杆的参数振动 |
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| 引用本文： | 王海期,王威. 弹性约束杆的参数振动[J]. 华中科技大学学报(自然科学版), 1987, 0(2) |
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| 作者姓名： | 王海期 王威 |
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| 作者单位： | 华中工学院力学系(王海期)，华中工学院力学系(王威) |
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| 摘 要： | 本文应用Bernoulll-Euller梁理论推导出中点受弹性约束的简支杆受纵向简谐激励的运动方程.文中把动力响应从静变形中分离出来,用Галеркин法获得常微分方程.得出了最大振幅的计算公式,讨论了弹性约束两个要素的影响.
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| 关 键 词： | 杆 弹性 约束 参数振动 非线性因素 最大振幅 |
Parametric Vibration of Elastically Restrained Rods |
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| Wang Haiqi Wang Wei. Parametric Vibration of Elastically Restrained Rods[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1987, 0(2) |
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| Authors: | Wang Haiqi Wang Wei |
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| Affiliation: | Wang Haiqi Wang Wei |
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| Abstract: | The governing equation for a simply supported rod with an elastic restraint at the mid-point and harmonically excited in axial direction is derived with Bernoulli-Euler's beam theory. The dynamic response is separated from the static deflection. By Galerkin's method, an ordinary differential equation is obtained as a nonhomo-geneous Mathieu equation with nonlinearity. The maximum amplitude of vibration is investigated and compared with that of the parametric vibration of a rod with initial curvature to show the difference. The effects of deflection on elastic restraint and relative stiffness are discussed. |
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| Keywords: | Rods Elastic Restraint Parametric vibration Nonlinearity Maximum amplitude. |
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