- 會議論文
Transverse Vibration of a Beam System under the Axial Base Motion by Finite Difference Method
摘要
近來有關超音波馬達的研究受到重視，其中它的主要特性有：高轉矩、低轉速以及能在短時問內達到啓動和靜止的響應性。本文中所要探討的是在壓電陶瓷致動器的驅動下樑的振動模態，由漢彌頓原理推導得到非線性偏微分方程式及其邊界條件，進而提出利用非線性的振動模態去預測受撓性與剛性交互作用運動下實際的振動行爲。最後，由有限差分法得到各組暫態振幅的數值，並比較之。
關鍵字
無資料並列摘要
Ultrasonic piezoelectric motors are distinguished by high torque at low speeds, short start-stop times and inhibiting action in the off state. The dynamic modeling for the transverse vibration of the beam actuated by piezoelectric ceramics are derived in this paper. A set of nonlinear partial differential equations and its nonlinear boundary conditions are obtained via the extended Hamilton's principle. It is found that the proposed nonlinear dynamic models are able to predict the dynamic interactions between flexible and rigid motions. Finally, the transient amplitudes of the beam system under the axial motion of piezoelectric actuator for three models are obtained by the finite difference method.
延伸閱讀
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