考虑接触变形的颗粒物-QCM传感器的耦合振动研究

在石英晶体微天平（Quartz Crystal Microbalance，QCM）的实际应用当中，颗粒物是最常见的吸附物质与检测对象。颗粒物与QCM共同构成了一个复合谐振器系统。常见的耦合振动模型都是将颗粒视为质点或刚球，将界面相互作用视为弹簧与阻尼。少数模型虽然考虑了颗粒的弹性振动，但没有考虑接触变形对振动的影响。毫无疑问，颗粒物在QCM表面产生的接触变形会改变颗粒的结构形状与振动边界条件，从而影响其振动模态。本项目拟建立考虑接触变形的颗粒物-QCM的耦合动力学模型，揭示颗粒的接触变形与振动模态的共同作用对QCM复合谐振器系统的影响机理。此项研究对于准确表征颗粒的物性参数有着重要意义，研究成果有望为QCM生化传感器的设计与应用提供理论指导和参考依据。

In the practical application of quartz crystal microbalance (QCM), particles is the most common adsorbent and the object of detection. Particles and QCM together form a composite resonator system. Most coupled vibration models treat the particle as a point mass or rigid sphere and treat the interface interactions as a spring and a dashpot. Although few models consider the elastic vibration of particles, they do not consider the influence of contact deformation on vibration. Undoubtedly, the contact deformation caused by the particles on the surface of the QCM will change the configuration and vibration boundary conditions of the particles, thereby affecting the vibrational modes. In this project, a coupled dynamic model of particles-QCM considering contact deformation is proposed to reveal the influence mechanism of contact deformation and vibration mode on the QCM composite resonator system. This research is of great significance for accurately characterizing the size and physical properties of particles. The research results are expected to provide theoretical guidance and reference for the design and application of QCM biosensors.