The dental implantation in clinical operations often encounters difficulties and challenges of failure in osseointegration, bone formulation, and remodeling. The resonance frequency (RF) can effectively describe the stability of the implant in physical experiments or numerical simulations. However, the exact relationship between the design variables of dental implants and RF of the system is correlated, complicated, and dependent. In this study, an appropriate mathematical model is proposed to evaluate and predict the implant stability and performance. The model has merits not only in the prediction reliability and accuracy but also in the compatibility and flexibility, in both experimental data and numerical simulation results. The Kriging surrogate model is proposed to present the numerical relationship between RF and material parameters of dental implants. The Latin Hypercube (LH) sampling method as a competent and sophisticated method is applied and combined with the finite element method (FEM). The methods developed in this paper provide helpful guidance for designers and researchers in the implantation design and surgical plans.

中文翻译：

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基于拉丁超立方体的有限元方法的Kriging替代模型用于种植体共振频率分析。

临床操作中的牙齿植入通常在骨整合，骨配方和重塑方面遇到困难和失败的挑战。共振频率（RF）可以有效地描述物理实验或数值模拟中植入物的稳定性。但是，牙科植入物的设计变量与系统RF之间的确切关系是相关，复杂和依赖的。在这项研究中，提出了合适的数学模型来评估和预测植入物的稳定性和性能。该模型不仅在预测的可靠性和准确性上，而且在实验数据和数值模拟结果上都具有兼容性和灵活性。提出了克里格代理模型，以提出射频和牙科植入物的材料参数之间的数值关系。拉丁超立方体（LH）采样方法作为一种功能强大且复杂的方法被应用，并与有限元方法（FEM）相结合。本文开发的方法可为设计人员和研究人员在植入设计和手术计划方面提供有益的指导。