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论文:2013,Vol:31,Issue(4):624-628 |
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引用本文： |
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张凯, 邓子辰, 王博. 基于高阶位移场理论的多孔金属圆柱壳结构响应研究[J]. 西北工业大学 |
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Zhang Kai, Deng Zichen, Wang Bo. Research on Structural Response of Metallic Lattice Tube Based on Higher-Order Field Displacement (HOFD) Theory[J]. Northwestern polytechnical university |
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| 基于高阶位移场理论的多孔金属圆柱壳结构响应研究 |
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| 张凯1, 邓子辰1,2, 王博1 |
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1. 西北工业大学 力学与土木建筑学院, 陕西 西安 710072;
2. 大连理工大学 工业装备结构分析国家重点实验室, 辽宁 大连 116024 |
| 摘要: |
| 基于高阶位移场理论研究了简支条件棱镜型圆柱壳体在内压力作用下的结构响应。首先,建立承受内压圆柱壳体的平衡方程,计算在该载荷作用下的各项同性材料的响应,与弹性力学理论解进行对比,验证所得平衡方程的正确性。采用均匀化方法,将正方形,三角形和Kagome 3种多孔金属圆柱壳体等效为正交各向异性的材料,计算了在内压下的结构响应,并与有限元计算结果进行对比,结果表明文中方法所得结果与有限元的结果非常接近,计算得到的径向位移和轴向应变与有限元的计算基本相同,径向应力,环向应力和径向应变等结构响应时误差也较小。3种构型的计算结果与有限元计算结果的比值变化趋势基本相同,其中三角形和Kagome构型的计算结果较正方形构型的计算结果较为准确。通过对所得结果进行分析,可以发现该高阶位移场理论在计算圆柱壳体结构响应时有效、准确,可以作为预测该类结构响应的计算方法。 |
| 关键词:
高阶位移场
正交各向异性
圆柱壳
多孔金属材料
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| Research on Structural Response of Metallic Lattice Tube Based on Higher-Order Field Displacement (HOFD) Theory |
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| Zhang Kai1, Deng Zichen1,2, Wang Bo1 |
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1. Department of Engineering Mechanics, Northwestern Polythechnical University, Xi'an 710072, China;
2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China |
| Abstract: |
| A metallic cylindrical lattice tube under internal pressure was analyzed by using the HODF theory.The response of the structure was obtained and compared with that obtained by using the FEM analysis.By using the homogenization method, three cylindrical lattice tubs, whose lattice types were Triangle, Square, and Kagome re-spectively, under internal pressure were homogenized to be orthotropic material and calculated by HODF theory. The HODF theoretical results and the FEM results were respectively obtained and their comparisons show that the differences are very small.The radial displacement and axial displacement obtained with HODF theory are nearly the same as the respective displacements obtained with FEM.The errors in radial stress, hoop stress and radial strain are relatively small.The ratios of the displacements obtained respectively with HODF theory and FEM are calculated and the patterns of these respective ratios are nearly the same.The results of Triangle and Kagome are better than the results of Square.The comparison and analysis of calculated results confirm preliminarily that the higher-order displacement theory can be used to calculate the correct responses of the metallic cylindrical lattice tube under internal pressure. |
| Key words:
errors
finite element method
homogenization method
matrix algebra
schematic diagrams
strain
strain energy
variational techniques
cylindrical tube
higher-order displacement field(HODF) theory
lattice structure
orthotropic material
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| 收稿日期: 2012-10-10
修回日期:
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| DOI: |
| 基金项目: 国家基础研究计划973项目(2011CB610300);国家自然科学基金(11172239);高校博士点基金(20126102110023);大连理工大学工业装备结构分析国家重点实验室开放基金;“111”引智计划项目(B07050)资助 |
| 通讯作者:
Email： |
| 作者简介: 张凯(1983-),西北工业大学博士研究生,主要从事多孔材料结构设计与优化研究。
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| 作者相关文章 |
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| 张凯 在本刊中的所有文章 |
| 邓子辰 在本刊中的所有文章 |
| 王博 在本刊中的所有文章 |
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