Purpose <p>This study aims to address broadband, multi-mode resonance suppression in fluid-conveying pipes under multiple bracket constraints. This issue is critical to the safety of systems such as nuclear power pipes. It investigates the performance and mechanism of Nonlinear Energy Sink (NES) cell arrays as a flexible, passive solution for suppressing multiple constraint-induced resonant peaks.</p> Methods <p>A coupled dynamics model is established for a fixed-fixed fluid-conveying pipe, integrating multi-bracket elastic constraints and NES cell arrays. Governing equations are discretized using the Galerkin truncation method and solved via the Harmonic Balance Method (validated by the Runge-Kutta Method). Systematic parametric analyses assess the effects of NES cell number, installation location, bracket stiffness, and bracket location on multi-mode resonance suppression efficiency.</p> Results <p>NES cell arrays exhibit superior flexibility and scalable suppression efficiency compared to a single equivalent NES, adjusting the parallel cell number adapts their performance. Suppression efficiency depends strongly on location. Bracket constraints suppress resonance by shifting natural frequencies, while NES cells achieve broadband energy dissipation. A synergistic, amplitude-dependent coupling exists, enabling co-optimization for enhanced multi-mode control.</p> Conclusion <p>The proposed NES cell array provides an effective, tunable strategy for multi-mode resonance suppression in multi-constrained pipes. The revealed synergistic mechanism offers a foundational basis for the integrated optimal design, advancing vibration control in critical engineering applications.</p>