Vibration dynamics of a grate bar mounted on elastic supports at both ends: mathematical model and transfer function
Keywords:
grate bar, elastic support, vibration system, transfer function, stiffness coefficient, damping, natural frequency, MATLABAbstract
The paper examines the vibration system of a grate bar of a cotton large-trash cleaner, mounted on elastic supports at both ends. To describe the dynamic behaviour of the system in a unified analytical form, a single-degree-of-freedom linear vibration model is developed, and the corresponding transfer function is derived. The model parameters — the mass of the grate bar and the stiffness and damping coefficients of the supports — are justified on the basis of the authors' earlier theoretical and experimental findings. Using the obtained transfer function, the natural frequency, transient response and frequency response of the system are analysed in MATLAB and compared with the operating speed range of the saw cylinder. The results allow resonance conditions to be predicted at the design stage of the grate-bar assembly and provide a basis for selecting rational support parameters
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