Exact expression for dispersion relation of an infinitely long beam with periodical attachments and supports

Tao Lu, Tianyang Shao, Rong Chen, Xiang Liu, Zilong Wei, Peiyi Fang, Ping Wang, MOE Key Laboratory of High-Speed Railway Engineering, Southwest Jiaotong University, SWJTU-Leeds Joint School, Southwest Jiaotong University, School of Civil Engineering, Southwest Jiaotong University, Key Laboratory of Traffic Safety on Track, Ministry of Education, School of Traffic , Transportation Engineering, Central South University, Infrastructure Inspection Research Institute, China Academy of Railway Sciences

Journal of Vibration and Control

Published online on July 01, 2025

Abstract

Journal of Vibration and Control, Ahead of Print.
Periodic beam-type structures have wide applications in engineering practice. The dispersion spectra of periodic structures show the band structure, consisting of stopping bands and passing bands. Various analytical and numerical techniques have been ...