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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >A simplified geometrically nonlinear approach to the analysis of the Moonie actuator
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A simplified geometrically nonlinear approach to the analysis of the Moonie actuator

机译：用于简化Moonie执行器的简化几何非线性方法

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摘要

A simplified model for the analysis of ceramic-metal composite actuators has been developed. The model consists of two beams symmetrically arranged about the actuator neutral axis and attached to the actuator at the ends with an offset (Moonie shape). When an electrical field is applied such that the actuator will contract, a compressive force and a moment, due to the beams' eccentricity, are applied to the beams. This loading will produce the desired deformation of the beams. Using the beam-column theory and the appropriate boundary conditions, it is possible to derive a set of equations relating the free induced strain (/spl Lambda/) of the actuator to the midspan displacement of the beams. Nonlinear terms which allow for the interaction of the developed in-plane force with the out-of-plane displacements have been included in the equations. Applying these equations to a particular case, it is found that the offset distance of the beams has a large impact on the behavior of the system. An increase in the offset distance produces both a suitable augmentation of the moment applied to the beams and an undesirable diminution of the midspan displacement for a given free induced strain. From these two positive anti negative effects, an optimum value of the offset distance is found. Additionally, it is found that with a transverse load applied to the beams, the optimum offset distance is further increased. Furthermore, the nonlinear terms in the governing equations are found to have only a small impact on the system in the free induced strain range of typical actuator materials, i.e., /spl Lambda//spl les/1500 /spl mu/strain. Thus, in conclusion, the effect of the offset distance of the beams to the actuator is the primary design criteria when maximum displacement of the actuator is required.
机译：已经开发出用于分析陶瓷-金属复合致动器的简化模型。该模型由围绕执行器中性轴对称排列的两个梁组成，并在两端以偏移量（穆尼形状）连接到执行器。当施加电场使得致动器收缩时，由于梁的偏心率而将压缩力和力矩施加到梁上。该载荷将产生梁的所需变形。使用梁柱理论和适当的边界条件，可以得出一组方程，将致动器的自由感应应变（/ spl Lambda /）与梁的中跨位移相关联。等式中包括了非线性项，这些项允许所发展的平面内力与平面外位移的相互作用。将这些方程式应用到特定情况下，发现光束的偏移距离对系统的性能影响很大。对于给定的自由感应应变，偏移距离的增加既会增加施加在梁上的力矩，又会导致中跨位移的不期望的减小。从这两个积极的消极影响中，可以找到偏移距离的最佳值。另外，发现在施加到梁的横向载荷的情况下，最佳偏移距离进一步增加。此外，发现控制方程中的非线性项在典型致动器材料的自由感应应变范围内，即/ spl Lambda // spl les / 1500 / spl mu / strain仅对系统产生很小的影响。因此，总之，当需要致动器的最大位移时，光束到致动器的偏移距离的影响是主要的设计标准。

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