Purpose <p>Fluid-conveying pipeline systems, widely used in ocean engineering, aerospace, oil and gas energy transmission, and nuclear steam supply systems, transport fluids to transfer energy, momentum, and mass. However, these systems are prone to uncontrolled vibrations and dynamic instability due to various excitations. Reducing low-frequency broadband vibrations in pipeline systems remains a challenging work for common vibration control techniques.</p> Methods <p>The bandgap characteristics of emerging phononic crystals (PCs) and acoustic metamaterials (AMs) in the field of condensed matter physics can effectively manipulate the propagation of elastic and sound waves in fluid-conveying pipelines, providing new methods for the low-frequency vibration reduction design of fluid-conveying pipeline systems.</p> Results <p>This paper provides an overview of traditional vibration reduction methods for pipeline systems, including passive, active, and semi-active control techniques. Based on the bandgap characteristics of PCs and AMs, combined with material and structural optimization , nonlinear effects, and active control methods, a systematic classification and summary were conducted. With a focus on the application of these technologies in low-frequency broadband vibration reduction of pipelines.</p> Conclusion <p>This paper provides a comprehensive literature review of the development and application of PCs and AMs in pipeline vibration control systems. Analyzed the challenges currently faced in development and provided prospects for future research directions in this area.</p>