转点频段旋转薄壳体的强迫振动和特殊效应  

Forced Vibration and Special Effects of Revolution Shells in Turning-Point Range

作　　者：张志良[1] 程昌钧[1] 

机构地区：[1]上海市应用数学和力学所

出　　处：《应用数学和力学》2007年第7期769-779,共11页Applied Mathematics and Mechanics

基　　金：上海市力学重点学科资助项目(Y0103);浙江省自然科学基金资助项目(100039)

摘　　要：利用转点频段的一致有效解研究了截顶旋转薄壳受边缘薄膜力和弯矩驱动的强迫振动·薄壳强迫振动呈现出薄膜解和弯曲解的耦合特点:无论由薄膜力还是由弯矩激发,振动均俱含薄膜和弯曲运动·揭示了转点频段薄壳强迫振动的3种特殊效应:无弯曲效应、内部静止效应和内部薄膜运动外部弯曲运动效应·这些效应具有潜在的应用价值·The forced vibration in the turning point frequency range of a truncated revolution shell subject to a membrane drive or a bending drive at its small end or large end was studied by applying the uniformly valid solutions obtained in a previous paper. The vibration in the turning-point range shows a strong coupling between the membrane and bending solutions： either the membrane drive or the bending drive causes motions of both the membrane type and bending type. Three interesting effects characteristic of the forced vibration in the turning point range emerge from the coupling nature： the non-bending effect, the inner-quiescent effect and the inner-membrane-motion-and-outer-bendingmotion effect. These effects may have potential applications in engineering.

关 键 词：强迫振动 特殊效应 转点频段 旋转薄壳 

分 类 号：O326[理学—一般力学与力学基础]