国防科技大学学报2025，Vol.47Issue(3)：194-202,9.DOI:10.11887/j.cn.202503020
热环境中黏弹性基体上FG-CNTRC Kirchhoff板的自由振动特性分析
Free vibration characteristics analysis of FG-CNTRC Kirchhoff plates on viscoelastic substrates in thermal environment
摘要
Abstract
FG-CNTRC demonstrate significant engineering value in advanced equipment manufacturing due to their exceptional mechanical properties and designable characteristics.The critical problem of nano-reinforcement scale effects on mechanical response mechanisms was addressed through integration of nonlocal theory with the Eshelby-Mori-Tanaka method,resulting in the development of a nano-to-macro multiscale constitutive model.Based on mathematical characterization of spatially gradient-distributed CNTs(carbon nanotubes),the thermo-mechanical coupling effects from environmental temperature and visco-Pasternak substrates were incorporated.Vibration governing equations for nanocomposite structures were established through Kirchhoff plate theory and energy variational principles,with characteristic frequencies of simply-supported plates subsequently solved.The influence mechanisms of CNTs' characteristic parameters and thermo-mechanical coupling effects on the natural frequency of structural systems was analyzed.Results demonstrate that the constitutive model effectively characterizes the stiffness-weakening effect induced by CNTs' scale effects.This effect simultaneously suppresses the stiffness enhancement from substrate elastic parameters while significantly increasing sensitivity to temperature variations.Moreover,the critical volume fraction for structural reciprocating vibration shows positive correlation with substrate damping parameters.关键词
非局部理论/Eshelby-Mori-Tanaka细观方法/碳纳米管增强复合材料/功能梯度板/visco-Pasternak基体Key words
nonlocal theory/Eshelby-Mori-Tanaka micromechanics method/carbon nanotubes reinforced composites/functionally graded plate/visco-Pasternak substrate分类
力学引用本文复制引用
吴栋,张大鹏,于宝石,雷勇军..热环境中黏弹性基体上FG-CNTRC Kirchhoff板的自由振动特性分析[J].国防科技大学学报,2025,47(3):194-202,9.基金项目
国家自然科学基金资助项目(11872372) （11872372）
国防科技大学科研计划资助项目(ZK20-27) （ZK20-27）
国防科技大学自主创新科学基金资助项目(22-ZZCX-077) （22-ZZCX-077）
