FDM薄板振动特性的理论与实验研究

熔融沉积成型(FDM)是一种能够直接打印出具有复杂几何形状零件的快速成型技术.然而，FDM在振动性能方面很难与传统加工方式相媲美，需要对其进行更为实际的振动特性分析，为此首次提出FDM 3D打印薄板的振动特性理论建模方法.以悬臂边界条件下FDM薄板为研究对象，基于经典层合板理论，采用双向梁函数组合法表示振型函数，并通过Ritz法求解获得了复合薄板的固有特性;搭建了FDM 3D打印薄板的固有特性测试实验台，以获得薄板的模态振型和固有频率;计算与实验结果验证了理论计算方法的正确性和可靠性.

Theoretical and Experimental Study on Vibration Characteristics of FDM Thin Plates

Fused deposition modeling(FDM) is a rapid prototyping technology that can directly print parts with complex geometrical shapes. However， it is hard to compare with the traditional processing methods in terms of vibration property， and a more practical analysis of vibration characteristics is needed. Therefore， a theoretical modeling method of vibration characteristics of the FDM 3D printed was proposed for the first time. The FDM sheet under the cantilever boundary conditions was taken as the research object. Based on the classical laminated plate theory， the vibration mode function was represented by the bidirectional beam function combination method， and the inherent characteristics of the composite thin plate were obtained by the Ritz method.The inherent characteristic test system of the FDM 3D printed plate was built， and the natural frequency and mode shape of the thin plate sample were obtained. The calculation and experimental results verify the correctness and reliability of the theoretical calculation method.