Study on Optimum Coil Design and Hardening Condition for Gear Induction Hardening

齿轮感应淬火最佳线圈设计及淬火条件研究

基本信息

批准号：
09650165
负责人：
MIYACHIKA Kouitsu
金额：
$ 2.24万
依托单位：
Tottori University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1997
资助国家：
日本
起止时间：
1997 至 1999
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09650165/
关键词：
Gear Heating Coil Induction Hardening Shaft Induced Current Density Residual Stress Hardened Layer FEM

项目摘要

An electromagnetic field analysis, a heat conduction analysis and an elastic-plastic stress analysis during induction heating and water cooling processes of shaft with uniform cross-section and shouldered shaft were carried out by the axisymmetric FEM, considering changes of the magnetic permeability, the resistivity, the thermal expansion coefficient and the yield stress with the temperature. Optimum hardening condition and coil configuration for residual stress and hardened layer were examined. 3D-FEM program for calculations of induced current density, temperature and stress during induction hardening process was developed. Residual stresses and hardened layer of gear due to single and dual frequency induction hardening were calculated by means of the FEM program, and then optimum induction hardening method for residual stress and hardened layer of gear were examined.The main results obtained from this investigation are summarized as follows.1.A chart to determine the optimum heatin … More g condition of electric power P and frequency f for residual stress due to the induction hardening of shaft with uniform cross-section was derived.2.Effective case depth of Hv=550(Hv : Vickers hardness number) due to the induction hardening of shaft with uniform cross-section increase at the middle of shaft and decreases at the end of shaft with decreasing lィイD2cィエD2, P and F (lィイD2cィエD2 : coil length).3.Axial and circumferential residual stresses σィイD2zィエD2ィイD1*ィエD1, σィイD2θィエD2ィイD1*ィエD1 of the shouldered shaft due to the induction hardening using the coil with constant inner diameter become large compressive stresses at the shaft surface only of smaller diameter in the case of lower f and the shaft surface only of larger diameter in the case of higher f.4.Surface σィイD2zィエD2ィイD1*ィエD1, σィイD2θィエD2ィイD1*ィエD1 of the shouldered shaft become large compressive stresses along the length of the shaft by carrying out the dual frequency induction hardening.5.Hardened layer of shouldered shaft occurs along the length of the shaft to certain shoulder height by carrying out the dual frequency induction hardening, and for larger shoulder height the coil must be overhung from the shaft end of smaller diameter.6.The position of maximum temperature at the end of induction heating process of gear becomes the tooth bottom of the end of face width irrespective of P and f in the case of narrower face width b, but becomes the tooth bottom of the middle of face width for lower f and the tooth tip of the middle of face width for higher f in the case of wider b.7.Contour lines of temperature at the end of induction heating process become lines along tooth profile by carrying out the dual frequency induction hardening, and residual stress and hardened layer occur along the tooth profile. Less

电磁场分析，热传导分析和在感应加热和水冷却过程中的弹性塑性应力分析，并通过轴心对称的FEM进行了均匀的横截面和肩部轴，考虑了磁性渗透性，电阻，耐药性，热膨胀系数以及温度的产量应力的变化，并考虑了磁性渗透性的变化。检查了残留应力和硬化层的最佳硬化条件和线圈构型。开发了用于计算诱导电流密度，温度和应力在诱导硬化过程中的3D-FEM程序。通过FEM程序的途径计算了由于单一和双重频率诱导硬化而导致的残余应力和齿轮层硬应力层，然后检查了最佳的诱导强化方法的残留压力和齿轮层的最佳诱导硬化方法。从该投资中获得的主要结果。总结如下。1.a。1.a，图表以确定最佳的速率和频率f的最佳状态。由于轴中间均匀横截面的诱导诱导轴的诱导硬化，HV = 550（HV：Vickers硬度数）在轴中间均匀增加，并在轴结束时减小，而LII D2CIE D2，P和F（LII D2CIE D2：LII D2CIE D2：COIL）。 σD2θD2i D1*i D1 of the shouldered shaft due to the induction hardening using the coil with constant inner diameter become large compressive stresses at the shaft surface only of smaller diameter in the case of lower f and the shaft surface only of larger diameter in the case of higher f.4.Surface σD2zie D2i D1*i D1, σD2θD2i D1*i D1 of the shouldered shaft通过执行双重频率感应硬化5。通过进行双重频率感应硬化，沿着轴的长度沿轴的长度到某些肩部高度发生硬化层，并且对于较大的肩高，必须从较小直径的轴端伸出线圈。6。齿轮诱导加热过程结束时最高温度的位置成为面部末端的牙齿底部的牙齿底部的牙齿底部，而在较窄的面部宽度b的情况下，P和F的位置不管P和F的宽度较窄，但在较低的F和较高的频率中，对于较高的b.7.的频率，在较高的proting proting的情况下，较低的f extulting pros and forthulation the the the the proting在较宽的情况下，在较高的for频率上，在较高的for频率上逐渐变化而变为较高的频率。残留应力和硬化层沿牙齿轮廓发生。较少的