零泊松比胞状结构的单胞面内等效模量分析及其影响因素

doi:10.7527/S1000-6893.2015.0063

固体力学与飞行器总体设计

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零泊松比胞状结构的单胞面内等效模量分析及其影响因素

李杰锋^1,2, 沈星¹, 陈金金¹

1. 南京航空航天大学机械结构力学及控制国家重点实验室, 南京 210016;
2. 南京航空航天大学无人机研究院, 南京 210016

收稿日期:2014-10-20 修回日期:2015-03-02 出版日期:2015-11-15 发布日期:2015-03-23
通讯作者: 沈星,Tel.:025-84895702,E-mail:shenx@nuaa.edu.cn E-mail:shenx@nuaa.edu.cn
作者简介:李杰锋,男,硕士,副研究员。主要研究方向:智能材料结构及其力学性能。Tel:025-84891497,E-mail:lijief@nuaa.edu.cn;沈星,男,博士,教授,博士生导师。主要研究方向:智能材料结构性能分析测试。Tel:025-84895702,E-mail:shenx@nuaa.edu.cn;陈金金,男,硕士研究生。主要研究方向:智能材料结构性能分析测试。Tel:025-84895702,E-mail:chenjinjin@nuaa.edu.cn
基金资助:
国家自然科学基金(50911140286);江苏省高校优势学科建设工程;2014年度"青蓝工程

Single cells' in-plane equivalent moduli analysis of zero Poisson's ratio cellular structures and their effects factor

LI Jiefeng^1,2, SHEN Xing¹, CHEN Jinjin¹

1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2. Research Institute of Unmanned Aircraft, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2014-10-20 Revised:2015-03-02 Online:2015-11-15 Published:2015-03-23
Supported by:
National Natural Science Foundation of China (50911140286);A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions;2014 "Qinglan" Project

摘要/Abstract

摘要：

为了准确描述零泊松比胞状结构的力学性能,适应不同的变形方式需要。针对3种不同的单胞,基于梁弯曲理论推导出考虑弯曲变形和轴向变形的等效弹性模量,基于虚功原理推导出不同单胞的等效剪切模量;然后将推导出的结果与有限元分析结果进行比较,并研究了几何参数对等效弹性模量和等效剪切模量的影响;最后进行了实验验证。研究结果表明,获得的等效弹性模量和等效剪切模量是正确、合理的,适用于变体机翼的胞状结构;3种单胞具有相同的等效弹性模量,但等效剪切模量不同;单胞的几何参数对等效弹性模量和等效剪切模量的影响规律和程度不同。

关键词: 零泊松比, 胞状结构, 单胞, 等效模量, 几何参数, 影响因素

Abstract:

Mechanical properties of zero Poisson's ratio cellular structures need to be accurately described to adapt to the requirements of different morphing applications. Based on the theory of beam bending, the equivalent elastic moduli of three types of cell structure are analyzed considering both the bending and axial force. The equivalent shear moduli is analyzed based on virtual work principle. Then the obtained expressions of equivalent moduli are compared with the results of finite element analysis. Meanwhile, the effects of geometric parameters of cell on equivalent elastic modulus and equivalent shear modulus are investigated. Finally, some experiments are implemented to verify the expressions of equivalent moduli. The research indicates that the obtained expressions of equivalent moduli are accurate,reasonable and applicable for morphing cellular structures. The three types of cell have the same expression for equivalent elastic modulus, but different expressions for equivalent shear modulus. The trends and magnitudes of variation of equivalent moduli with geometric parameters are different.

Key words: zero Poisson's ratio, cellular structure, cell, equivalent modulus, geometric parameters, effect factor

中图分类号:

V250.3
TB121

李杰锋, 沈星, 陈金金. 零泊松比胞状结构的单胞面内等效模量分析及其影响因素[J]. 航空学报, 2015, 36(11): 3616-3629.

LI Jiefeng, SHEN Xing, CHEN Jinjin. Single cells' in-plane equivalent moduli analysis of zero Poisson's ratio cellular structures and their effects factor[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(11): 3616-3629.

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零泊松比胞状结构的单胞面内等效模量分析及其影响因素

Single cells' in-plane equivalent moduli analysis of zero Poisson's ratio cellular structures and their effects factor

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