等几何配点法计算输流管道固有频率  

Isogeometric collocation method for calculating natural frequencies of pipe conveying fluid

作　　者：黄正[1] 何锃[1] 张栋梁[1] 江雯[1] 

机构地区：[1]华中科技大学土木工程与力学学院工程结构分析与安全评定湖北省重点实验室,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2016年第4期63-67,73,共6页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11572132,11572137)

摘　　要：为了精确高效地求解不同约束的输流管道固有频率问题,提出应用基于非均匀有理B-样条(NURBS)的等几何配点法.利用NURBS基函数导数的连续性质,直接离散输流管道强形式的控制微分方程,得到与固有频率有关的特征值问题.通过与高阶模态截断的伽辽金法计算结果进行对比,验证了本文数值方法的正确性和有效性;不同边界条件组合下输流管道的固有频率均达到较高的计算精度,表明本方法能够有效地处理输流管道这类实际工程问题.In order to accurately and efficiently solve the natural frequencies of pipe conveying fluid with different constraints,an isogeometric collocation method（IGA-C）using the continuity of the non-uniform rational B-splines basis functions was proposed.The strong form of the governing differential equations of the pipe conveying fluid was discretized via isogeometric collocation,and then the eigenvalue problem associated with the natural frequencies was obtained.The correctness and validity of the present numerical method were verified by comparing with the results obtained from Galerkin method with high order modal truncation.The pipes conveying fluid with different combination of boundary conditions was calculated to show that the method can effectively deal with the problem of practical interest.

关 键 词：输流管道 等几何分析 配点法 非均匀有理B样条 固有频率 

分 类 号：TB123[理学—工程力学] O326[理学—力学]