轴向运动层合圆柱壳体的振动特性

研究了轴向运动层合圆柱壳体的振动特性．基于Donnell壳体理论，建立了轴向运动层合圆柱壳体的横向振动方程，使用Galerkin方法求解该振动方程，得到其固有频率，通过与有限元结果对比说明方法的有效性．分析了轴向速度、纤维方向角、长径比和厚径比对壳体振动特性的影响．研究表明：当纤维方向角为 (15?/-15?)s时，轴向运动柱壳前3阶固有频率达到最大值．

Vibration Characteristics of Axially Moving Laminated Cylindrical Shells

Vibration characteristics of axially moving laminated cylindrical shells were studied. Based on the Donnell’s shell theory, the transverse vibration equation of axially moving laminated cylindrical shells was established. The equation was then solved by Galerkin method, and the natural frequencies of shells were obtained. Effectiveness of this method was testified via comparison with the finite element results. The effects of axially moving velocity, fiber orientation angle, length-to-radius radio and thickness-to-radius radio on the shell vibration characteristics were investigated. It was shown that the first three natural frequencies of axially moving laminated cylindrical shells reach their maximum when the fiber orientation angle is (15?/-15?)s.