摘要
基于改进傅里叶级数对任意边界条件下的矩形薄板振动特性进行分析,通过傅立叶正弦级数的引入,修正了边界条件上的不连续性;此外,通过改变横向位移约束弹簧刚度值k和旋转约束弹簧刚度值K来模拟任意边界下矩形薄板的振动情形,克服了以往只能求解某些特定简化边界条件下振动问题的缺陷。通过与文献及有限元软件计算结果的对比,验证了此方法的有效性;研究表明,矩形薄板不同边界条件下固有频率值差异较大,但均随长宽比增大而减小。
Based on the theory of the improved Fourier series method,the vibration characteristics of rectangular thin plates with arbitrary boundary conditions are studied.Sinusoidal function terms are introduced to modify the discontinuity of the boundary condition.Through changing the values of the lateral restraint stiffness k and the rotational restraint stiffness K,the vibration situation of the rectangular thin plates can be simulated under arbitrary boundary conditions.Therefore,the defect of the ordinary method,which can only deal with the structural vibration of the plates under some simplified boundary conditions,has been overcome.The effectiveness of this method is verified by comparing the results of this method with the results of some Literatures and simulations by using FEM software.Based on large amount of calculation,it is found that the natural frequencies of the plate under different conditions are quite different.Besides,all the natural frequencies of the rectangular thin plate decrease with the growth of the length-to-width ratio.
作者
陈林
肖伟
刘见华
杜圆
CHEN Lin;XIAO Wei;LIU Jianhua;DU Yuan(Marine Design and Research Institute of China,Shanghai 200011,China;China Ship Development and Design Center,Wuhan 430064,China;College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China)
出处
《噪声与振动控制》
CSCD
2018年第5期21-26,共6页
Noise and Vibration Control
基金
国家重点研发计划课题资助项目(2016YFC0303406)
总装预研基金资助项目(6140210020105)
工信部高技术船舶重大创新专项课题
工信部高技术船舶资助项目
国家自然科学基金资助项目(51209052)
中央高校基本科研业务费资助项目(HEUCFD1515)
中国博士后基金资助项目(2014M552661)
关键词
振动与波
改进傅里叶级数
矩形薄板
振动特性
任意边界条件
vibration and wave
improved Fourier series method
rectangular thin plates
vibration characteristics
arbitrary boundary condition
作者简介
陈林(1987-),男,硕士研究生,主要从事船体结构设计和全频域噪声分析方面的研究。Email:chldysh@163.com。
