Dynamics and stability analysis of a single-mass oscillatory system with a slider-crank vibration exciter

Traditional slider-crank mechanisms transmit high loads through the mechanical structure, hindering the design of compact machines. The paper considers the dynamic behavior of a single-mass oscillatory system actuated by a slider-crank excitation mechanism. The research methodology involves mathematical modeling and computer simulation to analyze the trajectory and kinematic characteristics of the considered oscillatory system. The dynamic diagram of the single-mass vibratory system is considered, and the mathematical model describing its motion is derived using Euler-Lagrange equations. The obtained results show the time response curves of the oscillating mass plane-parallel motion under different excitation conditions, as well as the amplitude and phase responses as functions of frequency. The primary scientific novelty of this research is determining the influence of specific design parameters of the vibration exciter on the trajectory of the working member motion, as well as defining the stability of the response at different frequencies. The research highlights the possibility of generating circular, elliptical, and rectilinear vibrations of the working member depending on the specific operation, such as conveying, screening, sieving, or compacting. This adaptability is crucial for tailoring the system to different industrial applications and optimizing its performance for specific tasks.