Design of Elastomeric-Piezoceramic Smart Structures for Use as Tunable Resonators

研究和分析压电陶瓷-弹性体复合材料的力学行为是本文的重点。这类新兴的智能结构将弹性体的自适应性和被动阻尼特性与压电陶瓷的主动性能相结合，从而形成具有被动和主动振动抑制能力的智能结构，其预测本构模型和有效的控制算法的发展是本研究项目的两个主要目标。 以一个在两自由度振动系统中进行试验的原型复合材料为例，采用一种新的应变能方法对压电陶瓷复合材料进行了建模，该方法遵循复合材料力学和橡胶弹性的规则，综合考虑了变形依赖性、复合材料的几何形状和各向异性、弹性体的超弹性力学响应以及压电元件的机电行为。实验研究的复合材料的正弦负载的响应进行开发的传递函数，从而更强大的控制算法。 实验和理论相结合，以产生分析控制算法，从本构模型的复合材料，但允许模型动态的不确定性。在完成本项目，本构模型的行为的一类新的智能结构，控制算法，其用作振动吸收器，这些吸收器的工作原型。 复合材料的适应性允许创建高功能的表面安装，在线或模制组件。这项工作将影响该领域的各种应用，包括但不限于，主动汽车安装，振动隔离的特定组件在组装，如防震CD播放器，望远镜，或旋转机械，并在其他情况下，传统技术不能应用。

The investigation and analysis of the behavior of piezoceramic-elastomer composites is the focus of this work. This newly emerging class of smart-structures combines the adaptability and passive damping characteristics of elastomers with the active capabilities of piezoceramics to create smart-structures with both passive and active vibration suppression capabilities.The development of predictive constitutive models and effective control algorithms for the composites are the two primary objectives of this research project. A prototype composite, tested in a two degree of freedom vibratory system, is used as a test case.The piezoelectric-ceramic composite is modeled using a novel strain energy approach, following the rubrics of composite mechanics and rubber elasticity, that incorporates state of deformation dependence, composite geometry and anisotropy, the hyperelastic mechanical response of the elastomer and the piezoelectric component's electro-mechanical behavior. Experimental investigation of the composite's response to sinusoidal loadings is performed to develop a transfer function and thereby more robust control algorithms. Experiment and theory are combined to generate analytical control algorithms that follows from the constitutive model of the composite, but allow for model dynamic uncertainty.In completion of this project, constitutive models for the behavior of a new class of smart-structures, control algorithms for their use as vibration absorbers, and working prototypes of these absorbers are produced. The adaptability of the composites allows for the creation of highly functional surface mounted, in-line, or molded components. This work will impact the field in a variety of applications, including but not limited to, active automotive mounts, vibratory isolation of specific components in assembly such as shock-proof CD players, telescopes, or rotating machinery, and in other situations where conventional techniques can not be applied.