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
收稿日期: 2014-10-20
修回日期: 2015-03-02
网络出版日期: 2015-03-23
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
Received date: 2014-10-20
Revised date: 2015-03-02
Online 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
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 . DOI: 10.7527/S1000-6893.2015.0063
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.
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