Finite Element Models and Chladni Figures of Oscillator-driven Square Plates
The Chladni figures(standing wave nodal pattern)formed by the oscillator-driven square plate during steady-state vibration have a wide application in the fields of noise source identification and particle movement control.Experiments and approximate theoretical analysis are used in most of the existing research on the Chladni figures of the square plate.In the present work,a simplified finite element model with appropriate boundary conditions for the oscillator-driven square plate is established based on parametric analysis.Through natural frequency and mode shape analysis,the resonant frequencies and Chladni figures in multiple sets of experiments are almost perfectly predicted and reproduced by the effective mass of the mode shape.For the steady-state vibration of the square plate at any given frequency,the amplitude nodal pattern can be quickly and accurately calculated by the mode shape superposition method,which is almost identical to the Chladni figures at the same frequency in the experiment.The Chladni figures of the oscillator-driven square plate at the resonant frequency can be interpreted as the mode shape corresponding to the natural frequency,and the Chladni figures at the non-resonant frequency can be interpreted as the superposition of multiple mode shapes.The main contribution of this paper is that a clear physical interpretation of the Chladni pattern of the oscillator-driven square plates is given by establishing a finite element model with appropriate boundary conditions.
vibration and waveoscillatorsquare platesChladni figures,finite element modelmode shape
万方数据
维普
