基于级数变换法的椭圆柱壳受迫振动分析

发布时间：2018-01-13 13:12

本文关键词：基于级数变换法的椭圆柱壳受迫振动分析　出处：《哈尔滨工程大学学报》2017年04期 　论文类型：期刊论文

【摘要】：由于椭圆柱壳周向曲率的变化,壳体振动方程中状态变量的系数是关于周向曲率的变系数,造成振动方程在周向波数域内不解耦,为求解带来困难。本文基于Flügge壳体理论推导出椭圆柱壳体的受迫振动方程,采用波传播法将椭圆柱壳位移以双Fourier级数形式展开,周向曲率以单Fourier级数形式展开,通过级数变换将变系数的偏微分方程组转换为周向波数相互耦合的有限阶常系数线性方程组,通过求解耦合方程得到椭圆柱壳受迫振动下的位移响应。通过与数值仿真及已有文献结果进行对比,验证了本文方法的准确性,同时具有较高的求解效率。通过对影响壳体振动的主要参数进行分析,得出激励力沿长半轴方向激励的输入功率流较小,沿短半轴方向激励的输入功率流较大;椭圆度对壳体输入功率流的影响主要在低频域;壳厚比减小,椭圆柱壳输入功率流峰值向低频偏移且幅值增大。
[Abstract]:The elliptic cylindrical shell circumferential curvature variation coefficient of the state variables in the vibration equation of shell is a circumferential variable coefficient of curvature, caused by vibration equation in the circumferential wavenumber domain without decoupling, makes it difficult to solve. In this paper Fl GGE shells is derived from the theory of elliptic cylindrical shell of the forced vibration equation based on the wave communication method elliptic cylindrical shell displacement in double Fourier series, Fourier series single circumferential curvature to form, through the transformation of series of variable coefficient differential equations of finite order conversion for circumferential wave numbers of coupling constant coefficient linear equations, by solving the coupled equations of elliptic cylindrical shell by forced displacement vibration the response. By comparing with the numerical simulation and the results, verify the accuracy of the proposed method, the solving efficiency is higher. At the same time are the main parameters of the influence on the vibration of the shell Flow analysis, small input power draw force along the long axis direction of the excitation half, larger input power flow along the short half axis excitation; ellipticity of the input power flow effect is mainly in the low frequency domain; the shell thickness ratio decreases, elliptic cylindrical shell input power flow peak shifted to lower frequency and amplitude increases.

【作者单位】：华中科技大学船舶与海洋工程学院;
【基金】：国家自然科学基金项目(51379083,51479079,51579109) 高等学校博士学科点专项科研基金项目(20120142110051)
【分类号】：O327
【正文快照】： 网络出版地址:http://kns.cnki.net/kcms/detail/23.1390.u.20170320.1107.002.html随着加工技术的进步,椭圆柱壳在潜器、航空航天、管道输送等领域的应用日益增多。相比于圆柱壳结构,椭圆柱壳在潜器、航空器仓容及设备布置上具有更大优势,椭圆形管道相对于方形管道断面湿周面

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