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性能是本工作的重点。这种新兴的智能结构将弹性体的适应性和被动阻尼特性与压电陶瓷的主动能力相结合，创造出具有被动和主动振动抑制能力的智能结构。开发预测本构模型和有效的复合材料控制算法是本研究项目的两个主要目标。在二自由度振动系统中测试了一个原型复合材料作为测试用例。根据复合材料力学和橡胶弹性的原则，采用一种新的应变能方法对压电陶瓷复合材料进行建模，该方法结合了变形依赖状态、复合材料几何形状和各向异性、弹性体的超弹性力学响应和压电元件的机电行为。对复合材料对正弦载荷的响应进行实验研究，以开发传递函数，从而实现更鲁棒的控制算法。实验和理论相结合，产生分析控制算法，遵循从复合材料的本构模型，但允许模型动态不确定性。在该项目完成后，将制作出一类新型智能结构的本构模型、用作减震器的控制算法以及减震器的工作原型。复合材料的适应性允许创建高功能的表面安装，在线或模塑组件。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支架，防震CD播放机、望远镜或旋转机械等组件的特定部件的隔振，以及其他传统技术无法应用的情况。

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.