Tuning of topological interface modes in an elastic beam array system with inerters

• Multiple interface modes exist in a beam array system with inerters. In simple mass-spring-inerter chain are shifted to lower frequencies. Inteface not affected by the existence of defect mass system. Inerters can be used tune multiple states Topological phononic crystals mechanical setup became topic great interest owing their applicability various engineering systems such as waveguides or vibration isolation devices. If composed elastic structures , they usually characterized bulk-edge correspondence where geometrical and material properties play important role stable surface boundary modes. This work investigates band transition topological system, two sub-lattices vertically aligned, parallel, elastically coupled beams connected at center. To illustrate understand behavior, corresponding eigenvalue problem is solved frequency response function sought for finite number unit cells. Localization demonstrated based on steady-state responses harmonic excitation . The effects introduced masses inerters studied separately. It revealed that introduction small form concentrated attached some does affect within observed range. On other side, produce shifts towards values, which even case values inerter parameter causes vanish appear inside another gap. obtained results give an insight into influence devices amplification effect complex periodic systems. also possibility without significantly affecting main structure