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论文:2014,Vol:32,Issue(5):793-798 |
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引用本文： |
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孟俊苗, 邓子辰, 张凯, 周加喜. 功能型多孔夹层板的等效弹性常数研究[J]. 西北工业大学 |
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Meng Junmiao, Deng Zichen, Zhang Kai, Zhou Jiaxi. Exploring Equivalent Elastic Constants of Functional Prismatic Sandwich Panel[J]. Northwestern polytechnical university |
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| 功能型多孔夹层板的等效弹性常数研究 |
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| 孟俊苗1, 邓子辰1,2, 张凯1, 周加喜3 |
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1.西北工业大学 工程力学系, 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;
3. 湖南大学 机械与运载工程学院, 湖南 长沙 410082 |
| 摘要: |
| 基于应变能等效原理,将功能型多孔夹层板的夹芯层等效为均匀的各向异性材料,并通过考虑夹芯层的面内剪切作用,即将构成代表体单元的基元杆件考虑为Timoshenko梁,建立Timoshenko梁单元的应变和宏观应变之间的关系,得到等效固体代表体单元的应变能密度与宏观应变的关系,从而,给出相应的宏观等效弹性常数。最后,通过有限元方法计算实际正方形蜂窝夹层板和等效夹层板的结构响应和低阶振动频率,验证该方法的有效性,对比分析得知该方法较原方法具有更高的精度,说明考虑面内剪切作用的必要性。 |
| 关键词:
各向异性
弹性常数
均匀化方法
固有频率
蜂窝夹层结构
应变能
代表体单元
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| Exploring Equivalent Elastic Constants of Functional Prismatic Sandwich Panel |
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| Meng Junmiao1, Deng Zichen1,2, Zhang Kai1, Zhou Jiaxi3 |
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1. Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072, China;
2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;
3. College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China |
| Abstract: |
| Under the condition that the strain energy of the periodic representative volume element (RVE) is e-quivalent to the elastic solid RVE,we improve the method for calculating the equivalent elastic constants by consid-ering the in-plane shear effect of a functional prismatic sandwich panel.The prismatic core is equalized to the ani-sotropic and homogenous material with the macroscopically equivalent elastic constants that are derived from the re-lationship between strain and macro-strain of the Timoshenko beam theory.The effectiveness of the method is veri-fied by comparing the structural response and the first five natural frequencies of a square prismatic sandwich panelwith those of an equivalent sandwich panel; the verification results,given in Figs.4,5 and Table 1,and their a-nalysis show preliminarily that our method that considers the in-plane shear effect can caculate more accurately. |
| Key words:
anisotropy
bending (deformation)
deformation
elastic constants
elastic moduli
homogenizationMethod
honeycomb structures
natural frequencies
sandwich structures
shear deformation
strain
strain energy
tensors
vibrations (mechanical);representative volume element
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| 收稿日期: 2014-04-18
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、11372252);国家111引智计划(B07050);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(GZ0802)资助 |
| 通讯作者:
Email： |
| 作者简介: 孟俊苗(1987-),女,西北工业大学博士研究生,主要从事周期性多孔材料的波传播研究。
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