| 摘要: |
| 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。 |
| 关键词: 多项式函数 梁单元形函数 模型降阶 网格加筋圆柱壳 频率分析 |
| DOI： |
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| 基金项目: |
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| Frequency Analysis of Stiffened Cylinder Based on NovelReduced Order Model |
| LI Yu-wei,WANG Bo,CHENG Geng-dong |
| (State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics,
Dalian University of Technology) |
| Abstract: |
| A novel reduced order model is proposed to determine the natural frequencies of the stiffened cylinder in this study, which is established by using a reduction basis along with the polynomial interpolation function and shape function of beams. The basic idea is to convert the displacements of FEM nodes to the master nodes with a few generalized DOFs. The proposed ROM can gain a significant reduction of computational cost without sacrifice of accuracy. Typical stiffened cylinder are studied and the outcomes are validated by benchmark studies. The results show that the reduced order model has the ability to identify shell lobe-type modes, which can be served as an efficient alternative model during initial design. |
| Key words: Polynomial interpolation function Shape function of beams Model reduction Stiffened cylinder Frequency analysis |