Nonlinear vibration of graphene platelets reinforced metal foams pipe conveying fluid under combined resonance

The pulsating fluid transported inside the pipe conveying fluid and external forced excitation can significantly affect its vibration behavior. Currently, research on pipe conveying fluid is mostly focused on forced resonance and parametric resonance, and there is no research on the combined resonance of graphene platelets reinforced metal foams (GPLRMF) pipe. To make up for this deficiency, this paper delves into the issue of combination resonance in GPLRMF fluid conveying pipe under multiple sources of excitation. Based on Euler-Bernoulli beam theory, the control equation of the system is derived and then discretized. Subsequently, the oscillation response is solved using the method of variable amplitude (MVA). The accuracy of this research is confirmed by comparing it with existing literature. The results indicate that the response curve under combination resonance exhibits a complex mechanism. Depending on various influencing factors such as damping, phase angle and outside incentive, the response curve of the pipe displays stable/unstable solutions, jumps, hysteresis and other phenomena. Additionally, temperature load, fluctuating velocity and material properties can also exert diverse impacts on the bifurcation curve.