| 弹性地基上Euler-Bernoulli梁的热屈曲模态跃迁特性 |
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| 引用本文： | 李世荣,刘平.弹性地基上Euler-Bernoulli梁的热屈曲模态跃迁特性[J].应用力学学报,2011,28(1). |
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| 作者姓名： | 李世荣 刘平 |
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| 作者单位： | 扬州大学,225009,扬州 |
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| 基金项目： | 国家自然科学基金，教育部博士点基金 |
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| 摘 要： | 采用解析方法研究了置于线性弹性地基上的Euler-Bernoulli梁在均匀升温载荷作用下的临界屈曲模态跃迁特性;分别在两端不可移简支和夹紧边界条件下,给出了弹性梁屈曲模态跃迁点的地基刚度值以及屈曲载荷值的精确表达式,并分析了模态跃迁特点.结果表明:随着地基刚度参数值的增大临界屈曲模态通过跃迁点从低阶次向高阶次跃迁;两端简支梁的模态跃迁具有突变特性,而两端夹紧梁的模态跃迁则是一个缓慢变化过程,它是通过端截面的弯矩或曲率的正负号改变实现的.
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| 关 键 词： | 弹性地基 Euler-Bernoulli梁 屈曲 模态跃迁 |
Characteristics of thermally buckling mode transition of Euler-Bernoulli beams resting on an elastic foundation |
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| Li Shirong,Liu Ping.Characteristics of thermally buckling mode transition of Euler-Bernoulli beams resting on an elastic foundation[J].Chinese Journal of Applied Mechanics,2011,28(1). |
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| Authors: | Li Shirong Liu Ping |
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| Affiliation: | Li Shirong Liu Ping(School of Civil Science and Engineering,Yangzhou University,225009,Yangzhou,China) |
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| Abstract: | Behaviors of transitions of the buckling mode shapes of Euler-Bernoulli beams resting on a linear elastic foundation and subjected to a uniform temperature rise are investigated by analytical method.For the beams with both of the ends immovably simply supported or clamped,analytical solution for the transition values of the elastic foundation stiffness and the critical buckling loads corresponding to the transition points are obtained and the characteristics of the mode transition are analyzed.The results s... |
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| Keywords: | elastic foundation Euler-Bernoulli beam buckling mode transition |
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