Bolted Joint Analysis
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EXPERIMENTAL AND FINITE ELEMENT ANALYSIS OF A SIMPLIFIED AIRCRAFT WHEEL BOLTED JOINT MODEL A Thesis Presented in Partial Fulfillment of the Requirements for the Degree Masters of Mechanical Engineering in the Graduate School of The Ohio State University By Kathryn J. Belisle ***** The Ohio State University 2009 Thesis Defense Committee: Approved by Dr. Anthony Luscher, Adviser _____________________________ Dr. Mark Walter Adviser Graduate Program in Mechanical Engineering Copyright © by Kathryn J. Belisle 2009 ABSTRACT The goal of this thesis is to establish a correlation between experimental and finite element strains in key areas of an aircraft wheel bolted joint. The critical location in fatigue is the rounded interface between the bolt-hole and mating face of the joint, called the mating face radius. A previous study considered this area of a bolted joint but only under the influence of bolt preload. The study presented here considered both preload and an external bending moment. This study used a more complete single bolted joint model incorporating the wheel rim flange and the two main loads seen at the bolted joints; bolt preload and the external load created by tire pressure on the wheel rim. A 2x3 full factorial DOE was used to establish the joint’s response to various potential load combinations assuming two levels of preload and three levels of external load. The model was analyzed both experimentally and in finite element form. The strain results around the mating face radius were compared between the two analyses. Several parameters were identified that could affect the correlation between the results. The finite element model was modified to incorporate each of these factors and the new results were compared against the original finite element results and the experimental data. The best correlation was found ii when the finite element model preload was adjusted such that the mating face radius strains under only preload matched those of the experimental results. iii This thesis is dedicated to my parents for always encouraging me, for listening when I was frustrated, for picking me up when I was down, for helping me however they could, and for taking pride in my triumphs. iv ACKNOWLEDGMENTS I would like to thank Goodrich Aircraft Wheels and Brakes for allowing me the use of their resources. I would particularly like to acknowledge Bud Runner of Goodrich who was a constant source of expertise, advice, and support. I would like to thank all the faculty and staff of the Ohio State University who helped me throughout the course of my research. I would also like to recognize my fellow graduate students for their support and help. Finally, I would like to acknowledge my family and friends for being constant sources of support and encouragement. v TABLE OF CONTENTS Abstract ............................................................................................................................... ii Acknowledgments............................................................................................................... v List of Tables ................................................................................................................... viii List of Figures .................................................................................................................... ix CHAPTER 1: Introduction ................................................................................................ 1 CHAPTER 2: Background and Literature Review ............................................................ 5 2.1 Bolted Joint Models ................................................................................................ 5 2.2 Experimental Setup ................................................................................................. 7 2.3 Finite Element Modeling ........................................................................................ 8 2.4 Comparison of Experimental and Finite Element Results .................................... 10 2.5 Sensitivity Analysis Summary .............................................................................. 11 2.6 Torque Free Preload Experiment .......................................................................... 12 2.7 Literature Review.................................................................................................. 14 CHAPTER 3: Experimental Analysis .............................................................................. 16 3.1 Experimental Model Development ....................................................................... 16 3.2 Experimental Measurement and Data Acquisition System .................................. 21 3.3 Design of Experiment ........................................................................................... 28 3.4 Test Setup and Procedure ...................................................................................... 29 CHAPTER 4: Experimental Results ................................................................................ 34 4.1 Statistical Analysis of Experimental Results ........................................................ 35 4.2 Design of Experiment Results .............................................................................. 38 4.3 Preload Variability Study ...................................................................................... 42 vi 4.4 Bolt Bending Results ............................................................................................ 44 4.5 Experimental Data for Finite Element Comparison.............................................. 45 CHAPTER 5: Finite Element Modeling .......................................................................... 47 5.1 Preliminary Model Setup ...................................................................................... 48 5.2 Preliminary Finite Element Analysis .................................................................... 53 5.3 Final Finite Element Model Setup ........................................................................ 56 CHAPTER 6: Finite Element Results .............................................................................. 63 6.1 Finite Element Results Acquisition ...................................................................... 63 6.2 Finite Element Convergence ................................................................................. 64 6.3 General Finite Element Results ............................................................................ 67 CHAPTER 7: Finite Element and Experimental Comparison ......................................... 69 CHAPTER 8: Summary and Conclusions ....................................................................... 91 List of references ............................................................................................................... 98 APPENDICES .................................................................................................................. 99 APPENDIX A: Labview Block Diagrams and Setup .............................................. 100 APPENDIX B: Bolt Bending Calculations.............................................................. 105 APPENDIX C: Raw Experimental Data.................................................................. 108 APPENDIX D: Statistical Results of the DOE ........................................................ 112 APPENDIX E: Finite Element Data ........................................................................ 118 vii LIST OF TABLES Table 3.1: Strain Gage Location Descriptions (*MFR = Mating Face Radius) .............. 22 Table 3.2: Bolt Preload and External Load Values .......................................................... 29 Table 3.3: Loading Conditions ........................................................................................ 33 Table 4.1: Bolt Bending and Tensile Results................................................................... 45 Table 4.2: Results at Mating Face Radius Locations for Preload Only (microstrain) ..... 46 Table 4.3: Results at Mating Face Radius Locations (microstrain) ................................. 46 Table 5.1: Material Properties .......................................................................................... 50 Table 5.2: Material Property Combinations ..................................................................... 60 Table 5.3: Adjusted External Loads ................................................................................. 61 Table 5.4: Adjusted Bolt Preloads ................................................................................... 61 Table B.1: Bolt Bending Calculation Spreadsheet ........................................................ 106 Table C.1: Experimental Principal Strains for 12:00 MF Radius Gages ....................... 109 Table C.2: Experimental Principal Strains for 3:00 MF Radius Gages ......................... 110 Table C.3: Experimental Principal Strains for 6:00 MF Radius Gages ......................... 111 Table D.1: Experimental Principal Strains for 6:00 MF Radius Gages ......................... 113 Table E.1: Descriptions of Models ................................................................................ 119 Table E.2: Finite Element Mating Face Radius Data .................................................... 120 Table E.3: Finite Element Mating Face Radius Data for Preload Only ......................... 121 viii LIST OF FIGURES Figure 1.1: Aircraft Wheel Assembly ...............................................................................