<p>In this paper, a tunable multi-band graphene-based terahertz absorber is proposed. The proposed absorber is a sandwich structure which is comprised of a gold ground layer, a SiO₂ dielectric interlayer, and a periodic patterned graphene as the surface. In the design of graphene patterns, catenary curves are introduced. Simulation results show that four distinct absorption peaks at frequencies of 4.19 THz, 5.78 THz, 7.60 THz, and 9.95 THz and a very low absorption at 8.77 THz for TE mode have been achieved, respectively. The absorption rates corresponding to most peaks exceed 92%. The physical mechanisms are analyzed through impedance matching theory and surface electromagnetic field distributions. The influences of the geometry parameters on the absorption properties are discussed. Additionally, the simulation results show that the absorption band can be actively controlled by adjusting the Fermi level of graphene. The absorber is sensitive to polarization and can be kept for large incident angle up to 50°. Graphene multi-band absorbers generally adopt complex planar pattern designs or stack multi-layer structures. The simple design based on single-layer patterns proposed in this paper is more convenient for processing and manufacturing. Meanwhile, due to its high efficiency, adjustability, and wide-angle incidence capability, the absorber we designed has potential application value in terahertz absorption, non-destructive testing, sensing, and imaging.</p>