论文部分内容阅读
针对网格加筋圆柱壳频率分析计算量大的问题,提出一种基于多项式及梁单元形函数的模型降阶方法,即运用多项式及梁单元形函数将复杂结构有限元的节点位移转化为主节点位移,实现模型降阶。并通过控制多项式阶数及梁单元个数来调整降阶模型的分析精度,而降阶模型的计算效率较精细模型有显著提高。以网格加筋圆柱壳为例,对比本文提出的模型降阶方法与3-D实体模型及其他模型降阶方法的频率分析结果,结果表明,提出的模型降阶方法不仅能捕捉到结构的整体模态,还能反映出结构部分局部模态,适用范围广,能够为工程结构设计提供简单有效的计算模型。
Aiming at the problem of large computational load of frequency analysis of stiffened cylindrical shell, a model reduction method based on polynomial and beam element shape functions is proposed. That is, polynomial and beam element shape functions are used to convert the displacement of finite element nodes Node displacement, to achieve model reduction. The analytical accuracy of the reduced order model is adjusted by controlling the order of the polynomial and the number of beam elements. However, the computational efficiency of the reduced order model is significantly higher than that of the refined model. Taking the grid-stiffened cylindrical shell as an example, the frequency analysis results of the model reduction method, the 3-D solid model and the other model reduction methods proposed in this paper are compared. The results show that the proposed model reduction method can not only capture the structure The overall mode, but also reflects the structure part of the local modalities, a wide range of applications, can provide a simple and effective computational model for engineering structure design.