具脱层轴对称层合圆柱壳的振动模态分析  

Modal Analysis of Axisymmetrical Laminated Cylindrical Shell with Delamination

作　　者：杨金花[1] 傅衣铭[1] 

机构地区：[1]湖南大学

出　　处：《应用力学学报》2007年第4期509-513,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(10272042)资助

摘　　要：对具环向贯穿脱层的轴对称层合圆柱壳进行振动模态分析。首先,采用Heaviside阶梯函数,构造了一种适合于脱层壳的位移模式。通过对脱层壳的能量分析,应用瑞利-里兹法后,得到用时间函数表示的系统振动控制方程,然后对其求解,得到脱层壳模态分析的特征方程式。算例中,讨论了不同的脱层位置、脱层大小和脱层深度对脱层壳振动模态的影响。The vibrating modal analysis of axisymmetrical laminated cylindrical shells with throughout circumference delamination is investigated. Adopting the Heaviside step functions, the displacement components suitable for delaminated cylindrical shell are constructed, and the total potential energy of delamina-ted shell is analyzed to deduce the system vibration governing equations with Rayleigh-Ritz method. The eigen-equations of modal analysis for the delaminated shell are then determined. The effects of various positions, sizes and depths of the delamination on the vibrating modal of delaminated cylindrical shell are discussed in the numerical examples.

关 键 词：脱层 层合圆柱壳 模态分析 瑞利-里兹法 

分 类 号：O343[理学—固体力学]