Purpose

The purpose of this study is to set up a dynamic model of material extrusion (ME) additive manufacturing plates for the prediction of their dynamic behavior (i.e. dynamic inherent characteristic, resonant response and damping) and also carry out its experimental validation and sensitivity analysis.

Design/methodology/approach

Based on the classical laminated plate theory, a dynamic model is established using the orthogonal polynomials method, taking into account the effect of lamination and orthogonal anisotropy. The dynamic inherent characteristics of the ME plate are worked out by Ritz method. The frequency-domain dynamic equations are then derived to solve the plates’ resonant responses, with which the damping ratio is figured out according to the half-power bandwidth method. Subsequently, a series of experimental tests are performed on the ME samples to obtain the measured data.

Findings

It is shown that the predictions and measurements in terms of dynamic behavior are in good agreement, validating the accuracy of the developed model. In addition, sensitivity analysis shows that increasing the elastic modulus or Poisson’s ratio will increase the corresponding natural frequency of the ME plate but decrease the resonant response. When the density is increased, both the natural frequency and resonant response will be decreased.

Research limitations/implications

Future research can be focused on using the proposed model to investigate the effect of processing parameters on the ME parts’ dynamic behavior.

Practical implications

This study shows theoretical basis and technical insight into improving the forming quality and reliability of the ME parts.

Originality/value

A novel reliable dynamic model is set up to provide theoretical basis and principle to reveal the physical phenomena and mechanism of ME parts.

中文翻译：

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具有正交各向异性特性的层压材料挤压增材制造板动力学模型

目的

本研究的目的是建立材料挤压 (ME) 增材制造板的动态模型，以预测其动态行为（即动态固有特性、共振响应和阻尼），并进行实验验证和灵敏度分析。

设计/方法/方法

基于经典叠片理论，采用正交多项式方法建立动力学模型，同时考虑叠片和正交各向异性的影响。ME板的动态固有特性是通过Ritz方法计算出来的。然后推导出频域动力学方程来求解板的共振响应，根据半功率带宽法计算阻尼比。随后，对 ME 样品进行一系列实验测试以获得测量数据。

发现

结果表明，动态行为方面的预测和测量结果非常吻合，验证了所开发模型的准确性。此外，敏感性分析表明，增加弹性模量或泊松比会增加相应的 ME 板的固有频率，但会降低共振响应。当密度增加时，固有频率和共振响应都会降低。

研究限制/影响

未来的研究可以集中在使用所提出的模型来研究加工参数对 ME 零件动态行为的影响。

实际影响

本研究展示了提高 ME 零件成型质量和可靠性的理论基础和技术洞察力。

原创性/价值

建立了一种新的可靠动力学模型，为揭示ME零件的物理现象和机理提供了理论依据和原理。