双参数弹性基功能梯度圆柱管自由振动的高阶梁理论解

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国家科技期刊平台
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中文摘要：基于高阶剪切变形梁理论,推导了Winkler-Pasternak弹性基径向功能梯度空心圆柱管自由振动行为的控制方程.该方法无须引入剪切修正系数,自动满足空心圆柱管内外表面剪应力自由边界条件.通过引入辅助函数,将关于挠度和转角的耦合控制方程化为单一高阶微分控制方程.给出了典型边界条件下功能梯度空心圆柱管的频率和振型.将计算结果与已有文献结果对比,验证了所提理论的精度.可以为工程中常见的Winkler-Pasternak弹性基梁结构提供更高精度的一维弹性理论解,研究结果表明,功能梯度材料的梯度参数和弹性地基刚度系数对固有频率值影响显著.与高阶固有频率相比,刚度系数对低阶固有频率的影响更加明显.

外文标题：Free vibration of cylindrical functionally graded tubes on bi-parameter foundation based on a higher-order beam theory

外文摘要：Based on the theory of high-order shear deformation beam,the governing equations for the free vibration behavior of Winkler-Pasternak elastic foundation radial function gradient hollow cylindrical pipe were derived.This method does not require the introduction of shear correction coefficient and automatically satisfies the free boundary condition of shear stress on the inner and outer surfaces of the hollow cylindrical pipe.By introducing auxiliary functions,the coupled equations for deflection and angle were transformed into a single high-order differential equation.The frequency and mode shapes of the function gradient hollow cylindrical pipe under typical boundary conditions were given.The calculation results were compared with the results in the existing literature to verify the accuracy of the proposed theory.It can provide higher precision one-dimensional elastic theoretical solutions for the common Winkler-Pasternak elastic beam structures in engineering.Research results show that the gradient parameter and elastic foundation stiffness coefficient of the function gradient material have a significant impact on the natural frequency value.Compared with the high-order natural frequency,the stiffness coefficient has a more significant impact on the low-order natural frequency.

外文关键词：

free vibrationfunctionally graded materialhollow cylindrical tubeWinkler-Pasternak elastic foundationhigher-order shear deformation beam theory

作者：

马维力、崔辉如、申柳雷、王诗琦、彭帆、李显方

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作者单位：

长安大学理学院,陕西西安 710064

陆军工程大学国防工程学院,江苏南京 210007

国防科技大学军政基础教育学院,湖南长沙 410072

中南大学土木工程学院,湖南长沙 410075

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关键词：

自由振动功能梯度材料空心圆柱管 Winkler-Pasternak弹性基高阶剪切变形梁理论

基金：

国家自然科学基金面上资助项目陕西省自然科学基础研究计划资助项目

项目编号：

120723742023-JC-QN-0010

出版年：

2024

DOI：

10.11887/j.cn.202404009

国防科技大学学报

国防科学技术大学

国防科技大学学报

CSTPCD北大核心

影响因子：0.517

ISSN：1001-2486

年,卷(期)：2024.46(4)