Modal frequencies of fiber-reinforced polymer pipes with wall-thinning using a wavelet-based finite element model

Abstract

Wall-thinning due to chemical reactions, heat, erosion, or a combination of such influences is the most dominant type of internal surface damage in piping systems. In order to examine the effect of wall-thinning on the natural frequencies, the elastodynamic model of the fiber-reinforced polymer pipe is formulated using a wavelet-based finite element method. In this context, a new set of Hermite shape functions is developed. The generalized eigen value problem is solved and the natural frequencies are obtained for an fiber-reinforced polymer pipe with different depths and locations of the wall-thinning. Moreover, the effect of wall-thinning on the modal frequencies of the pipe was verified experimentally. Both the analytical and experimental results demonstrate the potential of using vibration signature to detect internal surface damage in fiber-reinforced polymer pipes.

Heat transfer analysis of fast response sensor for internal combustion engine based on Coiflet wavelet finite element method

“…Zhao analyzed the temperature field of LNG tank under ultralow temperature based on Hermitian wavelet finite element method and proposed the theoretical model of Hermitian wavelet finite element method for analyzing the temperature field of LNG tank under ultralow temperature, and the simulation results showed that Hermitian wavelet finite element method had higher computing precision and efficiency [7]. Khulief et al [8] constructed the elastodynamic model of the fiber-reinforced polymer pipe based on wavelet-based finite element method to analyze the effect of wall-thinning on the natural frequencies and proposed a novel Hermite-shaped function, and the natural frequencies were obtained for an fiber-reinforced polymer pipe. Oke Wasiu and Khulief Yehia [9] proposed a finite element model based on B-spline wavelets on the interval and constructed the finite pipe element in the wavelet space, and the developed wavelet-based finite element discretization scheme used less elements compared to the conventional finite element method for modeling composite pipes, and the accuracy of the new element was verified through numerical analysis.…”

An overview of burst, buckling, durability and corrosion analysis of lightweight FRP composite pipes and their applicability

“…Thermal conductivity and the curing time were observed in the analysis to understand the temperature behaviour. Also, the vibration analysis was performed by Khulief et al [238]. They formulated an elastodynamic model using wavelet-based FE method.…”