应用数学和力学2025，Vol.46Issue(9)：1147-1157,11.DOI:10.21656/1000-0887.450213
初始几何缺陷对含裂纹的双向功能梯度梁振动特性研究
Study on Natural Vibration Characteristics of Bidirectional Functionally Graded Material Beams With Cracks and Geometric Imperfections
摘要
Abstract
Based on the Timoshenko beam theory,in view of geometric imperfections and cracks,the gover-ning equations for bi-directional functionally graded beams were derived under the Hamiltonian principle.The cracked section was modeled with a massless elastic rotational spring,and the governing equations were solved with the differential quadrature method.The effects of geometric imperfection types,geometric imperfection di-mensionless vibration amplitudes,crack depths,and other factors on the dimensionless frequencies were ex-plored.The results show that,for a certain axial functional gradient index value,the dimensionless fundamen-tal frequency increases with the dimensionless amplitude of the geometric imperfection,and decreases with the of crack depth.Moreover,the influence of the global imperfection on the dimensionless fundamental frequency is greater than the sine imperfection.关键词
双向功能梯度梁/初始几何缺陷/裂纹/无质量扭转弹簧/微分求积法Key words
bi-directional functionally graded beam/geometric imperfection/crack/massless elastic rotational spring/differential quadrature method分类
数理科学引用本文复制引用
史迎辉,唐怀平,赵英治..初始几何缺陷对含裂纹的双向功能梯度梁振动特性研究[J].应用数学和力学,2025,46(9):1147-1157,11.基金项目
国家自然科学基金(51778548) （51778548）
