Deniz Ali, Avey Mahmure, Fantuzzi Nicholas, Sofiyev Abdullah, Esencan Turkaslan Banu, Yuce Salim, Schnack Eckart
Department of Mathematics, Faculty of Arts and Sciences, Usak University, Usak 64000, Turkey.
Division of Mathematics, Graduate Education Institute, Usak University, Usak 64000, Turkey.
Nanomaterials (Basel). 2021 Nov 15;11(11):3075. doi: 10.3390/nano11113075.
Composite materials are frequently used in the construction of rail, tunnels, and pipelines as well as in the construction of aircraft, ships, and chemical pipelines. When such structural elements are formed from new-generation composites, such as CNT-reinforced composites, and their interaction with the ground, there is a need to renew the dynamic response calculations under moving pressures and to create new mathematical solution methods during their design. The aim of this study was to analyze the influences of elastic foundations (EFs) and material gradient on the dynamic response of infinitely long carbon nanotube (CNT)-based polymer pipes under combined static and moving pressures. The CNT-based polymer pipes resting on the EFs were exposed to the axial and moving pressures. The uniform and heterogeneous reinforcement distributions of CNTs, which varied linearly throughout the thickness of polymer pipes, were considered. After setting the problem, the fundamental equations derived to find new analytical expressions for dynamic coefficients and critical velocity, which are dynamic characteristics of cylindrical pipes reinforced by the uniform and linear distributions of CNTs, were solved in the framework of the vibration theory. Finally, numerical computations were performed to examine the effects of EFs on the critical parameters depending on the characteristics of the pipes, the speed of moving pressures, the shape of the distribution of CNTs, and the change in volume fractions.
复合材料常用于铁路、隧道和管道建设，以及飞机、船舶和化学管道的建造。当这些结构元件由新一代复合材料（如碳纳米管增强复合材料）制成，且它们与地面相互作用时，在移动压力下需要更新动态响应计算，并在设计过程中创建新的数学求解方法。本研究的目的是分析弹性地基（EFs）和材料梯度对无限长碳纳米管（CNT）基聚合物管道在静态和移动压力联合作用下动态响应的影响。置于弹性地基上的碳纳米管基聚合物管道承受轴向压力和移动压力。考虑了碳纳米管在聚合物管道整个厚度上线性变化的均匀和非均匀增强分布。设定问题后，在振动理论框架内求解了为找到动态系数和临界速度的新解析表达式而推导的基本方程，动态系数和临界速度是由碳纳米管均匀和线性分布增强的圆柱形管道的动态特性。最后，进行了数值计算，以研究弹性地基对临界参数的影响，这些影响取决于管道特性、移动压力速度、碳纳米管分布形状和体积分数变化。
