Collaborative Research: Design and Reconfiguration of Curved Surfaces for Targeted Wave Propagation

该补助金将资助研究，使声波通过工程或生物结构的自适应转向，应用于结构噪声的控制，振动能量的利用，诊断成像和无线能量转移到植入的医疗设备，从而促进科学的进步，促进国家的繁荣。通过机械特性的复杂空间图案化，材料可以被设计成在期望的方向上引导声波能量通过结构。这种材料可能难以制造，并且如果不是不可能的话，也难以在真实的时间内进行修改。为了解决这些限制，本项目将研究依赖于弯曲的薄弹性结构的几何形状，以实现理想的波导效果，而不需要空间不均匀性，并具有自适应按需可重构性的可能性。理论见解将与设计和制造的新工具相结合，以选择和制造其几何形状赋予它们特定的声波特性的形状。活动旨在实现更广泛的影响，包括研究经验和指导高中和本科生，以及桌面动手演示的发展，为公众宣传和高中教师training.This研究的目的是表征弯曲波传播薄，弯曲壳，并确定如何形状变形壳几何形状可以用来设计可调和实时自适应声波波导。它通过分析和数值计算，物理实验和创新制造技术的发展相结合来实现这些结果。几何透镜的声波在曲面上将分析各向异性的影响，恒定或空间变化的厚度，和本构效应，耦合膜状（面内）和弯曲（面外）运动，特别感兴趣的传播通过消失的正常曲率的曲线。一个模块化的方法来波导设计将被开发，其中可以实现精确的局部高斯曲率图案，以实现复杂的全球行为。最后，可重构性将通过在多个机械稳定形状之间切换来实现，包括通过共振本征振动模式的激发引起的过渡。该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。

This grant will fund research that enables the adaptive steering of acoustic waves through engineered or biological structures, with application to the control of structure borne noise, harnessing of vibrational energy, diagnostic imaging, and wireless energy transfer to implanted medical devices, thereby promoting the progress of science, and advancing the national prosperity. Through complex spatial patterning of mechanical properties, materials may be designed to guide acoustic wave energy in desirable directions through a structure. Such materials may be difficult to fabricate and challenging, if not impossible, to modify in real time. To address these limitations, this project will investigate reliance on the geometric shape of curved, thin elastic structures to achieve desirable waveguiding effects without the need for spatial inhomogeneity and with the possibility of adaptive on-demand reconfigurability. Theoretical insights will be combined with new tools for design and manufacturing to select and fabricate shapes whose geometry endows them with specific acoustic wave properties. Activities aimed at achieving broader impacts include research experiences and mentorship for high school and undergraduate students, as well as the development of table-top hands-on demos for public outreach and high school teacher training.This research aims to characterize flexural wave propagation on thin, curved shells and to determine how shape-morphing shell geometries can be used to design tunable and real-time adaptive acoustic waveguides. It accomplishes these outcomes through a combination of analytical and numerical calculations, physical experiments, and the development of innovative fabrication techniques. Geometric lensing of acoustic waves on curved surfaces will be analyzed in terms of the influence of anisotropy, constant or spatially varying thickness, and constitutive effects that couple membrane-like (in-plane) and flexural (out-of-plane) motion, with particular interest in propagation through curves of vanishing normal curvature. A modular approach to waveguide design will be developed in which precise patterns of localized Gaussian curvature can be realized to achieve complex global behavior. Finally, reconfigurability will be achieved by switching between multiple mechanically stable shapes, including through transitions induced by the excitation of resonant eigenmodes of vibration.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.