Nonlinear vibration characteristics and reliability analysis of dynamic model of linear motion platform supported by double rolling linear guide rails

Abstract

This paper proposes a 5DOF nonlinear dynamic modeling method for a linear guide platform supported by four carriages, systematically integrating the coupling effects of translational and angular displacements, internal preload, and time-varying excitation into a unified framework. A nonlinear restoring force function is constructed to reveal the complex dynamic behavior induced by contact nonlinearity, including multistability in frequency response, bifurcation phenomena, and the stability regulation of periodic motion. Numerical simulations deeply analyze the effects of excitation frequency and amplitude, preload levels, and platform weight on the system’s dynamic performance, clarifying the significant inhibitory effect of higher preload on aperiodic motion. Larger excitation amplitudes expand the frequency region associated with unstable motion and increase the number of jumping frequency points. Experimental verification confirms the accuracy and broad applicability of the model under complex dynamic conditions. Furthermore, by combining an active learning Kriging model with Monte Carlo simulation, the study quantitatively evaluates the influence of key carriage parameters on platform vibration and reliability, offering a novel strategy for optimizing the design of high-precision linear guide platforms. This research not only addresses gaps in modeling complex coupling effects but also establishes a robust theoretical and engineering foundation for predicting dynamic characteristics and optimizing the design of high-precision mechanical systems.