| 基于平板振动精确化方程求解动应力集中问题 |
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| 引用本文： | 胡超,周传平,Fai Ma,刘殿魁.基于平板振动精确化方程求解动应力集中问题[J].力学学报,2012,44(5):938-942. |
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| 作者姓名： | 胡超 周传平 Fai Ma 刘殿魁 |
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| 作者单位： | 1. 同济大学航空航天与力学学院, 上海 200092;
2. 扬州大学建筑科学与工程学院, 扬州 225127;
3. 加州大学伯克利分校工程学院, 美国伯克利 94720;
4. 哈尔滨工程大学航天与建筑学院, 哈尔滨 150001 |
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| 基金项目： | 国家自然科学基金，航天创新科学研究基金 |
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| 摘 要： | 基于文献8]给出的平板弯曲振动精确化方程,对含圆孔平板中弹性波散射与动应力集中问题进行了研究.文中给出了分别基于Mindlin板与精确化板方程在不同参数下圆孔动弯矩集中系数的数值结果,并对结果进行了对比分析和讨论.结果表明:在较低频率和薄板情况下,基于文献8]的方程与基于Mindlin板理论得到的动弯矩结果是基本一致的;在较高频率和厚板情况下,基于文献8]的方程与基于Mindlin板理论的动弯矩结果相差较大,最大值超出可达16%.由于文献8]给出的平板振动精确化方程是在没有任何工程假设条件下得到的,因此其分析计算结果更精确一些.
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| 关 键 词： | 平板弯曲振动精确化方程 Mindlin板理论 弹性波散射与动应力集中 厚板结构动力学 |
| 收稿时间： | 2012-03-01 |
| 修稿时间： | 2012-03-21 |
DYNAMIC STRESS CONCENTRATIONS BY USING REFINED EQUATIONS OF PLATE BENDING |
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| Hu Chao,Zhou Chuanping Fai Ma Liu Diankui.DYNAMIC STRESS CONCENTRATIONS BY USING REFINED EQUATIONS OF PLATE BENDING[J].chinese journal of theoretical and applied mechanics,2012,44(5):938-942. |
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| Authors: | Hu Chao Zhou Chuanping Fai Ma Liu Diankui |
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| Institution: | 1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China;
2. College of Civil Science and Engineering, Yangzhou University, Yangzhou 225127, China;
3. College of Engineering, University of California, Berkeley 94720, USA;
4. College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, China |
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| Abstract: | In this paper,based on the refined dynamic equation of plate bending,elastic wave scattering and dynamic stress concentrations in plates with a circular cutout were studied.Numerical results of dynamic moment concentration factors at the edge of cutouts in plates were obtained at given parameters by the Mindlin theory and the refined equation of plates,respectively.The comparison of the numerical results was made and discussed.It is shown that at a higher frequency,the numerical results,which are from the Mindlin theory and the refined theory,respectively,are different.Especially,as the cutout radius ratio to the thickness a/h is smaller 0.10,using the refined equation,the dynamic moment factor may approach to the maximum value,which is over 16% compared to that from Mindlin theory.The results are more accurate because the refined equation is derivative without using any engineering hypotheses. |
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| Keywords: | refined vibration equation of plate bending Mindlin theory of plates elastic wave scattering anddynamic stress concentrations dynamics of thick plates |
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