Stick-slip analysis in vibrating two-layer beams with frictional interface

Abstract

This paper attempts to present a new analysis for dynamical behavior of two-layer beams with frictional interface which held together in a pressurized environment, including stick-slip nonlinear phenomenon. To achieve a proper outlook of two-layer beam structures behavior, it is essential to realize the mechanisms of motion precisely. Coupled equation of transversal and longitudinal vibration of two-layers in the presence of dry friction is derived and nondimensionalized. Furthermore, free and forced vibration of the mentioned system is investigated and the system dynamics is monitored via Poincare maps and Lyapunov exponent analysis. A comparative study with ANSYS is developed to show the accuracy of the proposed approach.

Theoretical Investigation on Stiffness and Vibration Characteristics of Laminated Beams with Uniformly Vertical Displacement

“…In the last decades, the stress distribution, bearing capacity et al mechanical properties of laminated beams has been extensive researched (Gao and Wu, 2007;Sun, 2004;Li, 2002;Liu et al, 2021;Sedighi et al, 2013;Huang, 2015;Li and Liu, 2021). Based on the free-laminated beams, the calculation method of bending moment when each layer beam is compacted was proposed by Jie (Jie, 1995).…”

Dynamic properties of unbonded, multi-strand beams subjected to flexural loading

“…For example, Chen and Deng [7] found that a FE model was able to replicate the slip damping observed in the classical models of Goodman and Klumpp [1] and of Metherell and Diller [8]. FEs have also been used to study the frictional damping behaviour of unbonded multi-layer beams [9,10]. This has included a direct comparison of the hysteresis behaviour obtained both numerically and by physical experiment which showed that the static spring rate gave good agreement [11].…”