国防科技大学学报2024，Vol.46Issue(4)：86-95,10.DOI:10.11887/j.cn.202404009
双参数弹性基功能梯度圆柱管自由振动的高阶梁理论解
Free vibration of cylindrical functionally graded tubes on bi-parameter foundation based on a higher-order beam theory
摘要
Abstract
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.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Key words
free vibration/functionally graded material/hollow cylindrical tube/Winkler-Pasternak elastic foundation/higher-order shear deformation beam theory分类
数理科学引用本文复制引用
马维力,崔辉如,申柳雷,王诗琦,彭帆,李显方..双参数弹性基功能梯度圆柱管自由振动的高阶梁理论解[J].国防科技大学学报,2024,46(4):86-95,10.基金项目
国家自然科学基金面上资助项目(12072374) （12072374）
陕西省自然科学基础研究计划资助项目(2023-JC-QN-0010) （2023-JC-QN-0010）
