Dynamic instability analysis of general shells reinforced with polymeric matrix and carbon fibers using a coupled IG-SFSM formulation
Dynamic instability analysis of general shells reinforced with polymeric matrix and carbon fibers using a coupled IG-SFSM formulation
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DOI：
10.1016/j.compstruct.2021.113720
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发表时间：
2021-05
影响因子：
6.3
通讯作者：
M. Shahmohammadi;M. Azhari;M. M. Saadatpour-M.;H. Salehipour;Ö. Civalek
中科院分区：
文献类型：
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作者：
M. Shahmohammadi;M. Azhari;M. M. Saadatpour-M.;H. Salehipour;Ö. Civalek
本文考虑了热环境下壳体在周期性面内和外压力载荷作用下的动力失稳问题。所考虑的壳体是由碳纤维和随机取向的碳纳米管（CNTs）增强聚合物基体的层状复合材料制成的，碳纳米管在每层中都有功能分布。因此，所考虑的材料是由纤维/聚合物/碳纳米管三相制成的。在参数空间的两个正交方向上，采用等几何分析（IGA）和有限元法（FEM）相结合的耦合公式求解了扩展的控制平衡方程和相容方程。由于所提出的IGA-FE耦合方法是以有限条（FS）单元的形式发展起来的，因此被命名为等几何b样条有限条法（ig - smfsm）。为了进行参数化研究，考虑了各种几何和力学性能、边界条件和温度的影响。结果表明，igg - smfsm是一种适用于壳结构动态失稳评估的方法，与FEM和无单元族等流行方法相比，可以减少计算量，也可以减少标准IGA方法的局限性和不足。
In the present article, the dynamic instability of shells subjected to periodic in-plane and external pressure loadings in thermal environment is considered. The considered shells are made of laminated composite of carbon fibers and the reinforced polymeric matrix by randomly oriented carbon-nanotubes (CNTs) which is functionally distributed in each layer. Consequently, the considered material is made of three phases of fiber/polymer/CNT. The extended governing equilibrium and compatibility equations are solved by a coupled formulation which combines the isogeometric analysis (IGA) and finite element method (FEM) in two orthogonal direction of the parametric space. Since the proposed coupled IGA-FE method is developed in form of the finite strip (FS) elements, it is named isogeometric B-spline finite strip method (IG-SFSM). In order to perform the parametric studies, the effects of various geometrical and mechanical properties, boundary conditions and temperatures are considered. The obtained results show that IG-SFSM is an applicable method for dynamic instability assessment of the shells which can reduce the computational efforts comparing to the other prevalent methods such as FEM and element-free family, and also reduce the restrictions and shortcomings of the standard IGA methods.