In-plane wave propagation analysis of fluid-filled L-Shape pipe with multiple supports by using impedance synthesis method

Nonlinear analysis of L-shaped pipe conveying fluid with the aid of absolute nodal coordinate formulation

“…The first validation example is to reproduce the natural frequencies of an empty cantilevered L-shaped pipe, which have been reported in researches of Jong [46] and Wu et al [43]. For the convenience of comparison, the system parameters utilized in this example are selected to be the same as those applied in Refs.…”

Nonlinear Analysis of L-shaped Pipe Conveying Fluid with the Aid of Absolute Nodal Coordinate Formulation

“…The first validation example is to reproduce the natural frequencies of an empty cantilevered L-shaped pipe, which have been reported in researches of Jong [46] and Wu et al [43]. For the convenience of comparison, the system parameters utilized in this example are selected to be the same as those applied in Refs.…”

“…For the convenience of comparison, the system parameters utilized in this example are selected to be the same as those applied in Refs. [46] and [43]: the length of the straight pipe segments is L1=L2=0.9m, the radius of curvature of the curved pipe segment is R=0.127m, Young's modulus is E=210Gpa, mass density of the pipe is ρp=7800kg/m 3 , outer diameter of the pipe cross section is ro=0.1m, inner diameter of the pipe cross section is ri=0.09m. Based on the present ANCF model and with these parameters, the first four natural frequencies of the empty L-shaped pipe are obtained, which are summarized in Table 1.…”

“…Thus, it is worth to explore the dynamics of the straight-curved combination fluid-conveying pipe. Indeed, a few researchers have studied this kind of pipe [34][35][36][37][38][39][40][41][42][43]. In 1990, a linear analytical model that include the Poisson coupling was proposed by Lesmez et al [34] to perform the modal analysis of vibrations in liquid-filled piping system.…”

“…The corresponding results demonstrated that the elastic support could effectively reduce the vibration amplitude and was also relatively safe. More recently, the vibration and in-plane wave propagation analysis of a L-shaped fluid-conveying pipe with multiple supports was performed in the study of Wu et al [43] with the help of impedance synthesis method. This method had been proved by the corresponding experiments.…”