基于谱元法的加肋圆柱壳振动特性分析  

Vibration Characteristics Analysis of Stiffened Cylindrical Shells Based on Spectral Element Method

作　　者：吴江海[1] 严斌[1,2] 吴文伟 孙玉东[1] WU Jianghai;YAN Bin;WU Wenwei;SUN Yudong(National Key Laboratory on Ship Vibration&Noise,China Ship Scientific Research Center,Wuxi 214082,China;College of Aerospace and Civil Engineering,Harbin Engineering University,Harbin 150001.China)

机构地区：[1]中国船舶科学研究中心船舶振动噪声重点实验室,无锡214082 [2]哈尔滨工程大学航天与建筑学院,哈尔滨150001

出　　处：《中国造船》2024年第6期43-53,共11页Shipbuilding of China

基　　金：国家自然科学基金面上项目(12374447);无锡市科协软科学研究项目(23KH-KX-23-B010);江苏省高校基础科学面上项目(24KJB130006);船舶振动噪声重点实验室基金项目(JCKY2023207CI02);工信部高技术船舶科研专项(CBG4N21-1-3)。

摘　　要：基于谱元法建立了加肋圆柱壳振动的精确解析模型,采用圆环板模拟环肋,利用肋骨与圆柱壳拼接处位移连续与力平衡条件,在全局坐标系中将环肋与圆柱壳动刚度矩阵组装,建立加肋圆柱壳动力学模型,并采用FEM对加肋圆柱壳固有频率和谐振响应计算方法进行验证。分析了内、外肋骨加肋形式和弹性边界刚度对加肋圆柱壳振动特性的影响。研究发现,内、外肋骨加肋圆柱壳振动位移响应在低频段一致,随着频率升高,外肋骨圆柱壳的振动位移响应低于内肋骨圆柱壳;两端弹性边界约束刚度越大,加肋圆柱壳固有频率越高。研究结果可为加肋圆柱壳的声学设计提供分析方法。This article establishes an accurate analytical model for the vibration of a stiffened cylindrical shell based on the spectral element method.The ring rib is simulated using a circular annular plate,and the dynamic stiffness matrix of the ring rib and the cylindrical shell is assembled in the global coordinate system under conditions of continuous displacement and force balance at the joint of the rib and the cylindrical shell.Verification of the calculation method for the natural frequency and harmonic response of ribbed cylindrical shells was carried out by using FEM.Further analysis was conducted on the influence of inner and outer ribs and elastic boundary stiffness on the vibration characteristics of stiffened cylindrical shells.It was found that the vibration displacement response of inner and outer ribbed cylindrical shells is consistent in the low-frequency range,and the vibration displacement response of outer ribbed cylindrical shells is lower than that of inner ribbed cylindrical shells;the greater the stiffness of the elastic boundary constraint,the higher the natural frequency of the ribbed cylindrical shell.The research results of this article can provide analytical means for the acoustic design of stiffened cylindrical shells.

关 键 词：加肋圆柱壳 谱元法 圆环板 振动特性 

分 类 号：TU311.3[建筑科学—结构工程] TU352.1