Three-dimensional (3D) Weyl and Dirac semimetals garner considerable attention in condensed matter physics due to the exploration of entirely new topological phases and related unconventional surface states. Nodal line and ring semimetals, on the other hand, can facilitate 3D band crossings characterized by nontrivial links such as coupled chains and knots that are protected by the underlying crystal symmetry. Experimental complexities and detrimental effects of the spin-orbit interaction, among others, pose great challenges for the advancement that can be overcome with other systems such as bosonic lattices. Here we demonstrate that a 3D mechanical metamaterial made of granular beads hosts multiple intersecting nodal rings in the ultrasonic regime. By unveiling these yet unseen classical topological phases, we discuss the resilience of the associated novel surface states that appear entirely unaffected to the type of crystal termination, making them a promising platform in ultrasonic devices for non-destructive testing and material characterization.

三维（3D）Weyl和Dirac半金属由于探索全新的拓扑相和相关的非常规表面状态而在凝聚态物理中引起了广泛关注。另一方面，节点线和环半金属可以促进3D波段穿越，其特征在于非平凡的链接，例如受基础晶体对称性保护的耦合链和结。自旋轨道相互作用的实验复杂性和有害影响，尤其对前进​​的过程提出了巨大挑战，而其他系统（例如，玻色子晶格）则可以克服这一挑战。在这里，我们证明了由颗粒状小珠制成的3D机械超材料在超声状态下具有多个相交的节环。通过揭示这些尚未见过的古典拓扑阶段，