带框架肋骨圆柱壳振动特性分析  

Vibration characteristics analysis of cylinder shell with frame rib

作　　者：陈美霞[1] 谢坤[1] 魏建辉[1] 

机构地区：[1]华中科技大学船舶与海洋工程学院,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2014年第3期127-132,共6页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51179071);中央高校基本科研业务费专项资金资助项目(2012QN056)

摘　　要：基于Flügge壳体理论,采用波动法建立带框架肋骨加筋圆柱壳数学模型,对其自由振动特性和频响特性进行研究.相比于传统的采用梁模型或平摊法处理环肋,采用圆环板模型研究任意尺寸的环肋.根据肋骨、激励力位置对圆柱壳离散并将激励力作为边界条件处理,对离散子构件运用不同理论分析后通过连续条件组装所有子构件得到运动方程.与有限元结果对比验证本文方法的正确性,在此基础上分析不同惯性矩的框架肋骨对圆柱壳振动特性影响.结果表明:框架肋骨惯性矩高于普通肋骨2倍便影响圆柱壳振动特性,高于512倍时则与舱壁作用相同.Based on the Fl¨ugge shell theory and wave propagation approach,the mathematical model of ring-stiffened cylinder shell with frame stiffener was established and then free vibration characteristics and frequency response characteristics of the shell were analyzed.Compared with the traditional method,beam model or＂smearing out＂technique was adopted to analyze the stiffening ring,in which the stiffening ring of arbitrary size was treated as annular model.The shell was divided at stiffening rings or driving point and the external force was treated as boundary condition.The final motion function was obtained by using different theories to analyze sub-structures and then all sub-structures were assembled.The accuracy of the present method was validated by comparing results with FEM and the effects of frame rib with different inertia moment on shell were discussed.It is showed that frame rib will affect vibration characteristics of shell when inertia moment of frame rib is 2times than stiffening ring and frame rib can play the same role of bulkhead when the inertia moment of frame rib is 512 times than stiffening ring.

关 键 词：加筋圆柱壳 框架肋骨 波动法 圆环板 振动特性 

分 类 号：O327[理学—一般力学与力学基础]