Dimensional and Geometrical Tolerance Analysis of Two Flexible Curved Sheet Metal Parts Assembly

الموضوعات :

Parisa Omidvar ¹ (Department of Mechanical Engineering, AmirKabir University of Technology, Iran)
Maryam Saryazdi ² (Technology Institute of Mechanical Engineering (TIME), AmirKabir University of Technology, Iran)

تاريخ الإرسال : 18 الإثنين , ذو القعدة, 1442 تاريخ التأكيد : 05 الأربعاء , ربيع الثاني, 1443 تاريخ الإصدار : 28 الثلاثاء , رجب, 1443

الکلمات المفتاحية: Sheet Metal Assembly, Assembly Spring-back, Interactive Worst Case Method, Compliant Assembly, Method of Influence Coefficients, Tolerance Analysis,

ملخص المقالة :

Sheet metal assemblies are widely used in the automobile, aerospace, and shipbuilding industries. Sheet metals deform during the manufacturing and assembly process due to their high flexibility. Traditional tolerance analysis approaches were developed for rigid assemblies; however, new approaches of tolerance analysis and variation simulations have been proposed for flexible (compliant) assemblies using FEM. In this paper, a new method called Interactive Worst Case (IWC) is introduced for tolerance analysis of flexible assemblies, which demands a few FEM simulations and is based on traditional Worst Case (WC) method. IWC method guarantees that all the parts will assemble accurately and have proper function. The case study of this paper is two flexible sheets in the form of quarter cylinders, joined together by six spot welding to form a half-cylinder assembly. The accuracy of IWC is verified by comparing the results to uniform MIC. The results of MIC are also compared to the results of the Monte-Carlo simulation (MCS).

المصادر:

• Drake, P. J, Dimensioning and Tolerancing Handbook, 1st ed, McGraw-Hill Education, New York, USA, Chapter 9, 1999.


• Fischer, B. R., Mechanical Tolerance Stackup and Analysis, 2nd ed, CRC Press, Boca Raton, USA, Vol. 418, 2011, pp 1-6, 57.


• Merkley, K., Chase, K., and Perry, E., An Introduction to Tolerance Analysis of Flexible Assemblies, Proceedings of the 1996 MSC World Users Conference, Jun, 1996,


• Merkley, K. G., Tolerance Analysis of Compliant Assemblies, Ph.D. Dissertation, Brigham Young Univ., Provo, Utah, US, 1998.


• Liu, S. C., Lee, H. W., and Hu, S. J., Variation Simulation for Deformable Sheet Metal Assemblies Using Mechanistic Models, Transactions-North American Manufacturing Research Institution of SME, 1995, pp. 235-240.


• Liu, S., Hu, S., and Woo, T., Tolerance Analysis for Sheet Metal Assemblies, Journal of Mechanical Design, Vol. 118, No. 1, 1996, pp. 62-67, https://doi.org/10.1115/1.2826857.


• Liu, S. C., Hu, S. J., Variation Simulation for Deformable Sheet Metal Assemblies Using Finite Element Methods, Journal of Manufacturing Science and Engineering, Vol. 119, No. 3, 1997, pp. 368-374, https://doi.org/10.1115/1.2831115.


• Camelio, J., Hu, S. J., and Ceglarek, D., Modeling Variation Propagation of Multi-Station Assembly Systems with Compliant Parts, Journal of Mechanical Design, Vol. 125, No. 4, 2003, pp. 673-681, https://doi.org/10.1115/1.1631574.


• Dahlström, S., Lindkvist, L., Variation Simulation of Sheet Metal Assemblies Using the Method of Influence Coefficients with Contact Modeling, Journal of manufacturing science and engineering, Vol. 129, No. 3, 2007, pp. 615-622, https://doi.org/10.1115/1.2714570.


• Liao, X., Wang, G. G., Non-Linear Dimensional Variation Analysis for Sheet Metal Assemblies by Contact Modeling, Finite Elements in Analysis and Design, Vol. 44, No. 1-2, 2007, pp. 34-44, https://doi.org/10.1016/j.finel.2007.08.009.


• Xie, K., Wells, L., Camelio, J. A., and Youn, B. D., Variation Propagation Analysis On Compliant Assemblies Considering Contact Interaction, Journal of Manufacturing Science and Engineering, Vol. 129, No. 5, 2007, pp. 934-942, https://doi.org/10.1115/1.2752829.


• Choi, W., Chung, H., Variation Simulation of Compliant Metal Plate Assemblies Considering Welding Distortion, Journal of Manufacturing Science and Engineering, Vol. 137, No. 3, 2015, pp. 031008, https://doi.org/10.1115/1.4029755.


• Liu, T., Li, Z. M., Jin, S., and Chen, W., Compliant Assembly Analysis Including Initial Deviations and Geometric Nonlinearity—Part I: Beam Structure, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 233, No. 12, 2018, pp. 4233-4246, https://doi.org/10.1177/0954406218813392.


• Liu, T., Li, Z. M., Jin, S., and Chen, W., Compliant Assembly Analysis Including Initial Deviations and Geometric Nonlinearity, Part II: Plate Structure, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 233, No. 11, 2019, pp. 3717-3732, https://doi.org/10.1177/0954406218806930.


• Dahlström, S., Camelio, J. A., Fixture Design Methodology for Sheet Metal Assembly Using Computer Simulations, ASME International Mechanical Engineering Congress and Exposition, Vol. 37203, 2003, pp. 321-328, https://doi.org/10.1115/IMECE2003-41370.