路径宽度对FDM薄板固有特性的影响机理研究

Investigation on the Effect of Road Width on the Inherent Characteristics of FDM Plates

熔融沉积成型(Fused deposition modeling, FDM)是当今迅速发展起来的一种快速成型技术(也称3D打印技术),其在一定时间内能够直接打印出具有复杂几何形状的模型或零件。然而,FDM产品在振动性能方面很难与传统加工方式生产的零件相媲美,成为制约该技术发展的重要因素之一。随着FDM产品的应用越来越广泛,需要对其进行更为实际的振动特性分析。文中研究了不同路径宽度对FDM薄板固有特性的影响规律及其相应机理,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FDM薄板的固有特性,进而提出了理论计算FDM薄板固有特性的具体流程;与此同时,搭建了FDM薄板的固有特性测试系统,获得了薄板样件的固有频率和模态振型;最后,将理论计算结果与实验结果相对比,以验证理论分析方法的正确性和可靠性。此外,论文还将为提高FDM产品动力学性能方面的研究提供一定的理论基础和技术支持。

Fused deposition modeling(FDM) is a fast growing rapid prototyping technology due to its ability to build functional parts having complex geometrical shapes in reasonable build time. However, the built parts are hardly comparable to those produced by the traditional means in vibration property, which is one of the most obvious defects that hinder the development of rapid prototyping technology. With the increasingly wide application of FDM products, a more practical analysis of vibration characteristics is needed urgently. The effect of road width on the inherent characteristics of FDM 3D printing plates is studied, and the mechanism is revealed. Based on the classical laminated plate theory, the FDM plates with cantilever boundary conditions are taken into account, and the mode shapes are represented by the combination method of bi-directional beam function. The results are solved through the Ritz method. The specific process for predicting the inherent characteristics of the FDM plate by the theoretical method is thus provided. At the same time, the corresponding testing system is set up, measuring the natural frequency and mode shapes of the FDM plate. Finally, the predictions of the inherent characteristics are compared with the measurements, validating the reliability of the proposed theoretical model. In addition, the theoretical basis and technical support for further research on improving the dynamic performance of FDM products are provided.