沈阳航空航天大学学报2026，Vol.43Issue(2)：1-9,9.DOI:10.3969/j.issn.2095-1248.2026.02.001
夹层功能梯度材料板的颤振特性分析
Analysis of the flutter characteristics of sandwich functionally graded material panels
摘要
Abstract
To address the delamination failure issue in composite laminates caused by interlaminar stress concentration during supersonic flight,a novel sandwich functionally graded material(FGM)panel structure was proposed.First,the nonlinear geometric relationship of the sandwich FGM panel was formulated based on the Kirchhoff thin panel theory and the von Kármán large deformation theory.The nonlinear aerodynamic forces acting on the sandwich FGM panel were simulated using the third-order piston theory.The Hamilton principle was employed to derive the differential equations of motion for the sandwich FGM panel during supersonic flight.Subsequently,the Galerkin method was introduced to discretize these differential equations of motion spatially in both the streamwise and spanwise directions,yielding the corresponding system of ordinary differential equations.Finally,the dynamic response of the sandwich FGM panel was obtained by solving the derived ordinary differential equations using the Runge-Kutta method.The results indicate that,for a constant thickness of the sandwich core,a smaller gradient index n of the core material leads to a higher flutter critical dynamic pressure;When the gradient index n of the sandwich core is less than 1.0,the flutter critical dynamic pressure exhibits a monotonic increase as the thickness ratio of the sandwich core rises;Furthermore,as dimensionless dynamic pressure increases,the motion of the sandwich FGM panel transitions progressively from static stability to limit cycle oscillation.关键词
夹层功能梯度材料板/颤振特性/Hamilton原理/Galerkin法/Runge-Kutta法Key words
sandwich functionally graded material panel/flutter characteristics/Hamilton principle/Galerkin method/Runge-Kutta method分类
航空航天引用本文复制引用
祁武超,陈德明,田素梅,赵维涛..夹层功能梯度材料板的颤振特性分析[J].沈阳航空航天大学学报,2026,43(2):1-9,9.基金项目
辽宁省教育厅面上项目(项目编号:JYTMS20230253). （项目编号:JYTMS20230253）
