Abstract:
In order to increase the radiation area and improve the radiation efficiency, a variable-section radial transformer was proposed. Based on the apparent elastic method, the coupled vibration of the transformer was analyzed, and the equivalent radial and longitudinal frequency equations were derived. Then the relationship between the resonant frequency and the thickness variation constant was studied. The COMSOL simulation results were compared with the theoretically calculated resonance frequencies and good consistency was obtained. Based on the numerical method, the vibration modal modes and relative displacement distributions of the different size transformers were obtained. The results show that the vibration of the transformer is a coupled vibration when the longitudinal dimension is comparable to the radial dimension. Keeping the radial dimension constant, the thickness variation constant increases, and the equivalent longitudinal resonance frequency decreases.