摘要
为研究含孔隙功能梯度材料截锥壳的动力稳定性,用改进的混合律计算壳体的有效物性参数。基于经典薄壳理论建立含孔隙功能梯度材料截锥壳在轴向周期荷载作用下的动力稳定方程,并用Galerkin法和Bolotin法计算简支边界下的动力稳定区域。通过参数分析,系统讨论孔隙类型、半锥角和孔隙率对动力稳定的影响。结果显示,临界激励频率和非稳定区域宽度随半锥角、材料组分指数的增大而减小,随材料组分质量分数的增大而增大。与孔隙均匀分布的壳体相比,非均匀分布的壳体动力稳定性对孔隙率的变化更加敏感。另外,面内拉力可显著提高壳体的动力稳定性。
An modified model for the effective material properties of porous functionally graded conical shell was developed to study the dynamic stability of the shell.The dynamic stability equations with the effect of an axial periodic load were derived in the frame of the classical thin shell theory.Galerkin and Bolotin methods were employed to determine the unstable region of the shell with simply supported boundaries.The effects of porosity distributions,semi-vertex angles and porosity coefficients on the dynamic stability were discussed by using parametric analysis.It was shown that the critical excitation frequency and unstable re⁃gion are decreased with the increases of semi-vertex angle and material composition index,and increased with the rise of material quality component.Compared with the dynamic stability of the shell containing evenly distributed pores,that of the shell containing unevenly distributed pores was more sensitive to change porosity coefficient.Moreover,in-plane tensile forces could effectively promote the dynamic stability of the shell.
作者
黄小林
刘思奇
张燕宁
吴迪
HUANG Xiaolin;LIU Siqi;ZHANG Yanning;WU Di(School of Architecture and Transportation Engineering,Guilin University of Electronic Technology,Guilin 541004,Guangxi,China)
出处
《河南理工大学学报（自然科学版）》
CAS
北大核心
2023年第2期153-159,共7页
Journal of Henan Polytechnic University（Natural Science）
基金
国家自然科学基金资助项目(11362004,12162010)
广西自然科学基金资助项目(2021GXNSFAA220087)。
关键词
功能梯度材料
截锥壳
孔隙
动力稳定
functionally graded material
conical shell
porosity
dynamic stability
