Research on dynamic response of multi-layer beam system considering random interlayer parameters

Abstract

To study the influence of interlayer stiffness and interlayer damping on the dynamic response of multi-layer beams under moving loads, a method for calculating the dynamic response of a multi-layer beam system considering random interlayer stiffness or random interlayer damping under successive moving loads based on the Karhunen–Loéve expansion and point estimation method is proposed. The accuracy of the proposed method was verified by using several numerical examples. The influence of interlayer stiffness, interlayer damping, standard deviation of interlayer stiffness, and standard deviation of interlayer damping on the dynamic response of a girder-rail system was analyzed by using the proposed calculation method. The results show that when the moving load velocity is high, the number of critical velocity of the rail significantly increases with decreasing interlayer stiffness. In addition, dynamic responses of the rail and girder increase with decreasing interlayer damping and the dynamic response of rail at the midspan significantly increases as the standard deviation of interlayer stiffness increases. Neglecting interlayer damping can lead to significant fluctuation in the dynamic response of rail, a significant increase in the number of critical velocity of rail, and increases in the dynamic responses of rail and girder. Changing interlayer stiffness, interlayer damping, standard deviation of interlayer stiffness, or standard deviation of interlayer damping will have no obvious influence on the dynamic response of girder.

The exact spectral element modeling and vibration analysis of the acoustic black hole double-beam system

“…The double-beam structure, usually connected by translational and rotational springs, is a commonly used composite structure in various engineering fields (Liu and Yang, 2019; Zhao et al, 2022). Compared with the single beam, the system composed of two or multiple beam elements can be more functional and applicable due to its intrinsic advantages, such as richer vibration modes, higher strength-to-weight ratio, and so on (Li et al, 2023; Rezaiee-Pajand and Hozhabrossadati, 2014; Zhou et al, 2022). Based on these dynamic properties, many applications of double-beam have been conducted for vibration suppression, energy harvesting, and multifunctional design (Peng et al, 2022).…”