Flexural vibration reduction of hinged periodic beam–foundation systems

• Three periodic beam–foundation systems with hinged connection are proposed.
• Low, wide and strong attenuated band gaps are found in the hinged cases.
• Super wide band gap is obtained by combining different periodically hinged systems.

The hinged connection and periodic structure are introduced to the classic beam–foundation systems, so called as hinged periodic beam–foundation systems, to reduce the flexural vibrations. The cell-hinged, segment-hinged and identically hinged periodic beam–foundation systems are proposed. The frequency dispersion relation and frequency response of these systems with soil foundation are calculated and analyzed. The study shows that, the existence of hinges helps greatly to obtain lower and wider band gaps (BGs) with stronger attenuation. Finally, a combination beam–foundation system composed by the cell-hinged and identically hinged periodic structures is proposed to obtain super wide BG.