For designing the thick equal-cross-section ultrasonic flexural vibration rod, the Timoshenko Theory works satisfactorily. For the vari-cross-section ultrasonic flexural vibration rod, however, there has not been an a...For designing the thick equal-cross-section ultrasonic flexural vibration rod, the Timoshenko Theory works satisfactorily. For the vari-cross-section ultrasonic flexural vibration rod, however, there has not been an accurate and convenient design theory to date. That is, no frequency equation is available. In the present study, we extend the Timoshenko Theory to the vari-cross-section rod. For equal-thickness vari-cross-section exponent-mode rods, the frequency equation was derived. Experiments were carried out to verify the equation. The theoretical calculation shows good agreement with the experi-展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘For designing the thick equal-cross-section ultrasonic flexural vibration rod, the Timoshenko Theory works satisfactorily. For the vari-cross-section ultrasonic flexural vibration rod, however, there has not been an accurate and convenient design theory to date. That is, no frequency equation is available. In the present study, we extend the Timoshenko Theory to the vari-cross-section rod. For equal-thickness vari-cross-section exponent-mode rods, the frequency equation was derived. Experiments were carried out to verify the equation. The theoretical calculation shows good agreement with the experi-
