摘要
正交加筋薄板在船舶结构中应用十分广泛。从简化加筋板模型的角度出发,基于李兹法能量泛函变分原理推导加筋板的能量求解;并针对双向加筋板基于正交异性板理论和相当板厚理论提出2种简化方法,对3种模型模拟的加筋板推导其固有频率的解析公式。计算表明:3种正交加筋板模型在求取低阶固有频率时均具有良好的精度。在此基础上研究了基于3种模型的加筋板在空气中和水中的声辐射特性,为加筋板组合结构的振动和低频声辐射问题提出了新的简化思路。
The orthogonal stiffened plate is widely used in the field of marine engineering. Taking a simplified model of stiffened plates as the research target, and based on the Ritz method and the energy functional variation principle, the energy formulations of stiffened plates are deduced in this paper. For the orthogonal stiffened plate, two kinds of simplified methods (the orthotropic plate theory and the equivalent thickness method) are proposed. The analytical formulations of natural frequency of three stiffened plate models are discussed. It is observed that the analytical natural frequencies agree well with those from FEM results. Finally, the acoustic radiation characteristics of three stiffened plate models in the water, as well as in the air, are calculated. Overall, the proposed simplified method presents a new perspective for the vibration and low frequency acoustic radiation problem of orthogonal stiffened plates.
作者
高双
朱翔
李天匀
王迪
GAO Shuang;ZHU Xiang;LI Tianyun;WANG Di(School of Naval Architecture and Ocean Engineering ,Huazhong University of Science and Technology,Wuhan 430074,China)
出处
《中国舰船研究》
CSCD
北大核心
2016年第4期72-78,共7页
Chinese Journal of Ship Research
基金
国家自然科学基金资助项目(51479079)
船舶预研支撑技术基金资助项目(13J1.3.2)
关键词
正交加筋板
李兹法
正交异性板理论
相当板厚理论
声振特性
orthogonal stiffened plate
Ritz method
orthotropic plate theory
equivalent thickness method
vibration and acoustic radiation
作者简介
高双，男，1990年生，硕士生。研究方向：结构振动与噪声控制。E-mail：gaoshuang2010@hust.edu.cn;朱翔（通信作者），男，1980年生，博士，副教授。研究方向：结构振动与噪声控制。E-mail：zhuxiang@hust.edu.cn
