基于MITC单元的加筋板动力稳定性分析  

Dynamic Stability Analysis of Stiffened Plate Based on MITC Element

作　　者：李念 裴志勇[2] 吴卫国[2] LI Nian;PEI Zhiyong;WU Weiguo(School of Transportation, Wuhan University of Technology, Wuhan 430063, China;Green & Smart River-sea-going Ship, Cruise Ship and Yacht Research Center, Wuhan University of Technology, Wuhan 430063, China)

机构地区：[1]武汉理工大学交通学院,武汉430063 [2]武汉理工大学绿色智能江海直达船舶与邮轮游艇研究中心,武汉430063

出　　处：《武汉理工大学学报（交通科学与工程版）》2021年第1期64-69,共6页Journal of Wuhan University of Technology（Transportation Science & Engineering）

基　　金：装备预研教育部联合基金项目资助(6141A02022118)。

摘　　要：Mathieu-Hill型方程法是求解结构动力稳定的主要研究方法,加筋板结构由于加强筋的存在使得结构具有不连续性和各向异性,难以得到解析解,通常需要借助数值方法进行近似求解.文中基于MITC4壳单元理论,利用Matlab平台开发了相应的数值计算程序,对加筋板进行了屈曲载荷、固有振动模态,以及周期动载荷作用下的动力稳定分析,并讨论了载荷参数和加筋板截面参数对动力失稳区的影响.Mathieu-Hill equation method is the main research method for solving structural dynamic stability.Because of the discontinuity and anisotropy of stiffened plate structure,it is difficult to obtain analytical solution,so it is usually necessary to approximate the solution by numerical method.In this paper,based on MITC4 shell element theory,the corresponding numerical calculation program was developed by Matlab platform,and the dynamic stability of stiffened plate under buckling load,natural vibration mode and periodic dynamic load was analyzed.The influence of load parameters and stiffened plate section parameters on dynamic instability zone was discussed,which provides technical support and design reference for improving the dynamic stability of stiffened plate structure.

关 键 词：动力稳定性 MITC4壳单元 MATHIEU方程 有限元法 加筋板 周期载荷 

分 类 号：U662.3[交通运输工程—船舶及航道工程]