The Enhancing Buckling Capacity Analysis And Stability Design Of Thin-walled Structure Based On Negative Poisson’s Ratio Effect

Thin-walled structures are widely used in aerospace and other industrial areas, the main failure mode of these structures is buckling. therefore, how to improving the stability of thin-walled structure is the key to increase the utilization efficiency of the material and reduce the structural weight. Numerous studies show that the special auxetic behavior of negative Poisson’s ratio material can make the structure exhibits exceptional mechanical and physical properties, such as shock absorption, sound absorption, electromagnetic properties. However, the effect of special auxetic behavior of negative Poisson’s ratio material on stability of thin-walled structure is less studied. The auxetic behavior of negative Poisson’s ratio material has important implications for the stability of thin-walled structures. There is important research value to study the mechanism of auxetic behavior for stability and how to use the affect to improve the structure’s stability. In this paper, the buckling performance’s gain space of stability of uniaxial compressive rectangular plate and annular plate caused by auxetic behavior of negative Poisson’s ratio material was studied by theoretical analysis and finite element method. The enhancing buckling mechanism of auxetic behavior for plate structure was revealed, which is used in stability design of sandwich plate, curved stiffened panels and secondary stiffened panel. Some better designs are got and which may trigger some new thinking for the stability design of thin-walled structure. The details are as follows:(1)The buckling behavior analysis of negative Poisson’s ratio uniaxial compression rectangular plate considering elastic constraint. The enhancing buckling mechanism of auxetic behavior effect on the performance of buckling of thin-walled structure is given. For isotropic uniaxial compression rectangular plate, the buckling analytical expression of rectangular is given using energy method, which considering the elastic constraint of unload edges (including rotation constraint and translation constraint).The expression is verified by finite element method. The effect of translate constraint, Poisson’s ratio and aspect ratio on buckling performance of rectangular plate is discussed in two boundary conditions(simple support and clamped in unload edges). In addition, the proper gain space is given by finite element method in 9 boundary conditions. The studies show that:when the in-plane translation of elastic support is considered, the critical buckling load of plate with negative Poisson’s ratio has greatly improved as compared to the positive Poisson’s ratio plate. And the more negative the Poisson’s ratio, the higher the gain. The gain varies with different boundary conditions, the largest increase of critical buckling factor can up to double.(2)The buckling analysis of axial compression auxetic annular plate in different boundary conditions. The annular plate under axial compression is common in engineering. Therfore, it is necessary to study the impact of negative Poisson’s ratio on the buckling performance of annular plate. The stability criteria of annular plate buckling under axial compression in 8 boundary conditions is given based on the theoretical solution. The criteria is verified and used to analyze the buckling performance of annular plate of different diameter ratio. The results show:Negative Poisson’s ratio could improved the buckling performance of annular plate in CS and CF boundary conditions, but will reduce the buckling performance in SC and FC boundary conditions. Buckling performance has little changes with the Poisson’s ratio in CC and SS boundary conditions. The buckling factor will increase first then decrease with the increase of Poisson’s ratio and the peak is around the zero.(3)The stability design of thin-walled structure based on the negative Poisson’s ratio. Since the negative Poisson’s ratio material may bring great benefits of buckling for uniaxial compression plate, it is needed to introduce auxetic property to the actual structure design. Honeycomb sandwich plate and stiffened plate as a common wall structure is widely used, which are selected to achieve the overall structure of the auxetic property by integrating structural design and materials design using traditional materials, thereby enhancing the stability of the structure. Three structure forms are presented, which are auxetic honeycomb sandwich plate, curved stiffened plate and secondary stiffened plate. The buckling performance of these structure is studied using finite element method. Better structures are got by parameter design but also provides a new way of thinking and method for the stability design of thin-walled structure.