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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2015, Vol. 36 ›› Issue (11): 3616-3629.doi: 10.7527/S1000-6893.2015.0063

• Solid Mechanics and Vehicle Conceptual Design • Previous Articles     Next Articles

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

LI Jiefeng1,2, SHEN Xing1, CHEN Jinjin1   

  1. 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

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

CLC Number: