Dhatrak Pankaj, Bhadri Karan, Karnik Niharika, Bora Urvi
School of Mechanical Engineering, Dr. Vishwanath Karad, MIT- World Peace University, Pune, India.
School of Mechanical Engineering, Dr. Vishwanath Karad, MIT- World Peace University, Pune, India.
J Mech Behav Biomed Mater. 2023 Apr;140:105735. doi: 10.1016/j.jmbbm.2023.105735. Epub 2023 Feb 15.
The aim of this paper is to formulate a mathematical model of dental prosthetic using single degree of freedom (SDOF) to assess the micro-displacement under electromagnetic excitation. Using Finite Element Analysis (FEA) and values from literature, stiffness and damping values of the mathematical model were estimated. For ensuring the successful implantation of dental implant system, monitoring of primary stability in terms of micro-displacement is crucial. One of the most popular techniques for the measurement of stability is the Frequency Response Analysis (FRA). This technique assesses the resonant frequency of vibration corresponding to the maximum micro-displacement (micro-mobility) of the implant. Among the different FRA techniques, the most common method is the Electromagnetic FRA. The subsequent displacement of the implant in the bone is estimated by equations of vibration. A comparison has been made to observe the variation in resonance frequency and micro-displacement due to varying input frequency ranges of 1-40 Hz. The micro-displacement and corresponding resonance frequency were plotted using MATLAB and the variation in resonance frequency is found to be negligible. The present mathematical model is a preliminary approach to understand the variation of micro-displacement with reference to electromagnetic excitation force and to obtain the resonance frequency. The present study validated the use of input frequency ranges (1-30 Hz) with negligible variation in micro-displacement and corresponding resonance frequency. However, input frequency ranges beyond 31-40 Hz is not recommended due to large variation in micromotion and corresponding resonance frequency.
本文的目的是建立一个单自由度（SDOF）的牙齿修复数学模型，以评估电磁激励下的微位移。利用有限元分析（FEA）和文献中的数据，估算了该数学模型的刚度和阻尼值。为确保牙种植系统的成功植入，监测微位移方面的初始稳定性至关重要。测量稳定性最常用的技术之一是频率响应分析（FRA）。该技术评估与种植体最大微位移（微移动性）相对应的振动共振频率。在不同的FRA技术中，最常用的方法是电磁FRA。通过振动方程估算种植体在骨中的后续位移。进行了比较，以观察由于1 - 40Hz的输入频率范围变化而导致的共振频率和微位移的变化。使用MATLAB绘制了微位移和相应的共振频率，发现共振频率的变化可以忽略不计。目前的数学模型是一种初步方法，用于了解微位移随电磁激励力的变化，并获得共振频率。本研究验证了输入频率范围（1 - 30Hz）的使用，其微位移和相应共振频率的变化可忽略不计。然而，由于微运动和相应共振频率变化较大，不建议使用超过31 - 40Hz的输入频率范围。
