贴敷压电纤维复合材料固支梁的振动特性分析
Analysis of the Vibration Characteristics of Macro Fiber Composite Materials with Fixed Beam Structures
摘要: 压电纤维复合材料(Macro Fiber Composite, MFC)由NASA兰利研究中心开发，具有尺寸紧凑、柔性良好和优异的压电性能，因而在传感、驱动、能量采集及微机电系统等领域得到广泛关注。作为常用的振动控制作动器，MFC的引入会显著改变结构的动力学特性，因此研究贴敷MFC后梁结构的振动行为十分必要。当前关于MFC-固支梁体系中几何尺寸与贴敷区参数对振动特性影响的研究仍较有限。文章基于哈密顿原理建立了贴敷MFC的固支梁动力学模型，并采用伽辽金法离散得到系统的固有特性。随后探讨了MFC的尺寸、铺设位置等因素对梁结构固有频率的影响规律，并通过仿真和实验验证了模型的准确性。
Abstract: Macro Fiber Composite (MFC), developed by NASA’s Langley Research Center, is a piezoelectric material characterized by its small size, flexibility, and strong electromechanical performance. These features enable its extensive use in sensing, actuation, energy harvesting, and MEMS applications. When employed as an actuator in vibration control, MFC can significantly modify the dynamic behavior of the host structure, making it essential to understand the vibration characteristics of beams with bonded MFC layers. However, studies focusing on how the geometric and placement parameters of MFC influence the natural frequencies of MFC-clamped beam systems remain limited. In this work, the governing equations of a clamped beam with surface-bonded MFC are formulated using Hamilton’s principle and discretized with the Galerkin method to obtain the system’s natural characteristics. The effects of MFC dimensions and bonding location on the vibration response are systematically analyzed, and numerical simulations together with experiments are conducted to validate the proposed theoretical model.
文章引用：郑轩宇. 贴敷压电纤维复合材料固支梁的振动特性分析[J]. 力学研究, 2026, 15(1): 1-10. https://doi.org/10.12677/ijm.2026.151001

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