非均匀加筋圆柱薄壳圆截面内振动的径向模态机械阻抗分析  

RADIAL MODAL MECHANICAL IMPEDANCE OF NON-UINIFORMLY RING STIFFENED CIRCULAR CYLINDRICAL SHELLS IN CIRCURLAR CROSS-SECTION MOTION

作　　者：艾海峰[1] 陈志坚[1] 

机构地区：[1]海军工程大学船舶与动力学院,湖北武汉430033

出　　处：《工程力学》2012年第6期332-337,345,共7页Engineering Mechanics

摘　　要：提出圆柱薄壳的圆截面内运动假设,从声学角度将环肋对壳体的作用等效为径向作用力,根据Hamilton原理建立了简支非均匀加筋圆柱壳的振动控制方程,利用驻波形式解对其径向模态机械阻抗进行了研究。分析表明:对于加筋圆柱壳,环肋与圆柱薄壳的径向模态机械阻抗具有串联连接方式,通过调整环肋的几何参数增大环肋自身的径向模态机械阻抗,可以达到壳体减振降噪的目的,并指出了利用环肋的反共振特性进行加筋圆柱壳结构减振的设计方向。The assumption of circular cross-section motion is presented for circular cylindrical shell, and the effect of rings is reduced to line forces from the acoustic viewpoint, and then the theoretical governing equation of non-uniformly ring stiffened and simple supported circular cylindrical shells is derived using Hamilton Principle. The radial modal mechanical impedance is studied by assuming a solution of standing wave form for the vibration system. The analysis shows that the radial modal mechanical impedance of ring and shell is combined in manner of series connection for the stiffened cylindrical shell, and the vibration reduction can be implemented by adjusting the geometry parameters to increase the radial modal mechanical impedance of rings. A new design method utilizing the anti-resonance of rings is also proposed for vibration reduction of ring stiffened cylindrical shell.

关 键 词：非均匀环肋 圆柱薄壳 圆截面内运动:模态机械阻抗 减振 

分 类 号：O326[理学—一般力学与力学基础] U661.44[理学—力学]