热弹耦合运动斜板振动特性研究

郭旭侠; 薛晓飞

doi:10.13433/j.cnki.1003-8728.20190064

热弹耦合运动斜板振动特性研究

doi: 10.13433/j.cnki.1003-8728.20190064

宝鸡文理学院机械工程学院, 陕西宝鸡 721016

基金项目:

宝鸡文理学院重点项目 ZK11067

陕西省自然基金项目 2013JQ1013

国家青年基金项目 11302003

详细信息

作者简介:
郭旭侠(1976-), 副教授, 硕士生导师, 研究方向为机械结构动力学, 674952653@qq.com

中图分类号: O326
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- 文章访问数: 396
- HTML全文浏览量: 234
- PDF下载量: 32
- 被引次数: 0
出版历程
- 收稿日期: 2018-12-17
- 刊出日期: 2019-12-05

Study on Vibration Characteristics of Thermoelastic Coupled Moving Skew Plate

College of Mechanical Engineering, Baoji University of Arts and Sciences, Shaanxi Baoji 721016, China

摘要

摘要: 分析无量纲运动速度、边长比、斜角，无量纲热弹耦合因子等参数对热弹耦合运动斜薄板振动特性的影响。以运动热弹耦合运动斜薄板为研究对象，基于弹性薄板小挠度弯曲理论，建立运动微分方程，采用微分求积法进行离散建立热弹耦合运动斜板的特征方程。得到了热弹耦合运动斜板前3阶模态的无量纲复频率与运动速度之间的关系曲线。结果表明，相同条件下，第1阶模态发散失稳的临界速度随着斜板角度的增加而减小，第1阶模态的发散失稳临界速度随着无量纲热弹耦合因子的增大而增大。
- 热弹耦合 /
- 运动斜板 /
- 微分求积法 /
- 振动特性 /
- /
Abstract: The effects of dimensionless velocity, aspect ratio, skew angle and dimensionless thermoelastic coupling factor on the vibration characteristics of a thermoelastic coupled moving skew plate is analyzed. Taking the moving thermoelastic coupled skew plate as the research object, based on the theory of small deflection bending, the differential equation of motion for elastic thin plate is established, the differential quadrature method is used to establish the characteristic equation of thermoelastic coupled skew plate. The relationship between the dimensionless complex frequencies of the first three modes of a thermoelastic coupled moving skew plate and its velocity is obtained. The results show that the critical velocity of the first mode divergence and instability decreases with the increase of the skew plate angle, and the critical velocity of the first mode divergence and instability increases with the increase of the dimensionless thermoelastic coupling factor under the same conditions.
- thermoelastic coupled /
- moving skew thin plate /
- differential quadrature method /
- vibration characteristics /
- frequency /
- divergence and instability

HTML全文

图 1 热弹耦合运动斜薄板模型

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图 2 θ=π/4, λ=0.2, r₀=1时板的无量纲复频率与运动速度关系

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图 3 θ=π/3, λ=0.2, r₀=1时板的无量纲复频率与运动速度关系

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图 4 θ= 5π/12, λ=0.2, r₀=1时板的无量纲复频率与运动速度关系

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图 5 θ=π/4, λ=0.2, r₀=0.8时板的无量纲复频率与运动速度关系

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图 6 θ=π/3, λ=0.2, r₀=0.8时板的无量纲复频率与运动速度关系

下载: 全尺寸图片幻灯片

图 7 θ=π/3, λ=0, 0.1, 0.3, r₀=0.8时板的无量纲复频率与运动速度关系

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表 1 弹性方板的前3阶固有频率与文献[17]中解的对比

边界条件模态	对边简支-对边固支
边界条件模态	1	2	3
本文解	28.956 0	54.758 9	70.055 9
文献[17]解	28.95	54.74	69.33

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参考文献(17)

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