Abstract
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.
Highlights
The simulation of the forced vibration of structural elements exposed to moving pressures is used in the design of rails, tunnels, and pipelines as well as in the design of missiles, aircraft, ships, and chemical pipelines [1,2]
Since the cylindrical pipes originating from carbon nanotube (CNT) on the elastic foundations (EFs) have an infinite length, the strains cannot be infinitely increased with the increase in x
The influences of geometric parameters, material properties of composites reinforced by CNT, and the foundation characteristics of the critical velocity and dynamic coefficients were investigated
Summary
The simulation of the forced vibration of structural elements exposed to moving pressures is used in the design of rails, tunnels, and pipelines as well as in the design of missiles, aircraft, ships, and chemical pipelines [1,2]. Modeling the dynamic responses of homogeneous structural elements under moving pressures and methods for their solution were discussed from various aspects in the studies by Fryba [2]. Carried out a theoretical analysis of an axially symmetric, steady-state reaction of a linearelastic, homogeneous, infinitely long cylindrical shell subjected to an annular moving pressure at a constant speed using the Fourier transform method with a contour integral. Singh et al [5] investigated the dynamic axisymmetric response of buried orthotropic infinite cylindrical shells subjected to a radial line load moving along the shell’s axis within a thin shell theory. Panneton et al [6] developed a theoretical model to evaluate the vibration and sound radiation of a thin cylindrical shell excited by a constant point load continuously traveling along the circumferential direction at a rotational speed. Ruzzene and Baz [7]
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