广西科技大学学报2025，Vol.36Issue(5)：17-25,9.DOI:10.16375/j.cnki.cn45-1395/t.2025.05.003
基于ANCF的两种边界条件下旋转压电层合梁振动特性研究
Vibration characteristics of rotating piezoelectric laminated beams with two different boundary conditions based on ANCF
摘要
Abstract
In this paper,dynamics characteristics of rotating piezoelectric laminated beams with two different boundary conditions rotating in the plane were analyzed based on the absolute nodal coordinate formulation(ANCF)and Euler-Bernoulli theory.Tensile and bending strains were calculated by using Green-Lagrangian strain tensor and the exact expression of the beam curvature.Enthalpy,kinetic and elastic energies of the system were derived based on the piezoelectric constitutive equation.Thus,the dynamics equations of the rotating piezoelectric laminated beams can be developed by using the Lagrange's equations of second kind.The results of the model in this paper were also compared with the literature to verify the correctness of the present model.The results show that simple-support beams are more prone to frequency loci veer and mode shape shift compared to clamp-free beams.In addition,the voltage amplitude of piezoelectric beams depends on the bend mode shape of the beams.Frequency loci veer also can have effects on voltage amplitude.关键词
绝对节点坐标法(ANCF)/旋转压电层合梁/频率转向/振型交换Key words
absolute nodal coordinate formulation(ANCF)/rotating piezoelectric laminated beam/frequency loci veer/mode shape shift分类
机械工程引用本文复制引用
刘昊成,陈渊钊,李健..基于ANCF的两种边界条件下旋转压电层合梁振动特性研究[J].广西科技大学学报,2025,36(5):17-25,9.基金项目
国家自然科学基金青年科学基金项目(12202110) （12202110）
广西自然科学基金项目(2020GXNSFBA297010) （2020GXNSFBA297010）
广西科技大学硕士研究生创新项目(GKYC202306)资助 （GKYC202306）
