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Summer internship @ IISc Bangalore
- 1. SUMMER INTERNSHIP Sreyas Sriram, M2D2 Laboratory, IISC Bangalore, May 23rd, 2016 to July 20th, 2016. Guide: Prof G.K Ananthasuresh
- 2. GOALS Studying the Compliant Mechanisms Kit , modelling the failure of the existing CM kit and discovering possible intervention points for further development. Devise an analytical Model for beam bending of beams with Fillet radii.
- 3. THE COMPLIANT MECHANISMS KIT Rigid Connectors Flexural Beams
- 5. ABAQUS: MESH CONVERGENCE STUDY Quad mesh and Non linear geometry were incorporated in the analysis Inferences: The values of deflection converged whereas the values of the maximum Von Mises Stress did not converge on mesh refinement
- 6. Stress and Deflection plots for the 3 cm beam
- 7. Stress and Deflection plots for the 5 cm beam
- 8. STRESS CONCENTRATION AT NODAL POINTS
- 10. CUBOIDAL SLAB
- 11. THE PRINCIPLE OF SUPERPOSITION !
- 12. T MODEL
- 13. PLOTS 1.39E-02 1.39E-02 1.39E-02 1.39E-02 1.39E-02 1.39E-02 1.39E-02 1.40E-02 1.40E-02 1.40E-02 1.40E-02 0 50000 100000 150000 200000 250000 300000 Deflection vs Node Size (3cm) Deflection vs Node Size (3cm) 0.00E+00 5.00E+06 1.00E+07 1.50E+07 2.00E+07 2.50E+07 3.00E+07 3.50E+07 4.00E+07 4.50E+07 5.00E+07 0 50000 100000 150000 200000 250000 300000 Von Mises Stress Vs Node size (3cm) Von Mises Stress Vs Node size (3cm)
- 14. PLOTS (CONTD) 3.60E-02 3.60E-02 3.60E-02 3.61E-02 3.61E-02 3.61E-02 3.61E-02 3.61E-02 0 50000 100000 150000 200000 250000 300000 350000 400000 Deflection Vs Node Size (5cm) Deflection Vs Node Size (5cm) 3.70E+07 3.80E+07 3.90E+07 4.00E+07 4.10E+07 4.20E+07 4.30E+07 4.40E+07 4.50E+07 4.60E+07 0 50000 100000 150000 200000 250000 300000 350000 400000 Von Mises Stress Vs Node Size (5cm) Von Mises Stress Vs Node Size (5cm) Von Mises Stress did not Converge for the 5 cm beam
- 15. VALIDATION Validated the Deflection value from FEA with the deflection values with modified Sivanagendra’s Code for beam bending. Sivanagendra’s code does not work with T shaped beams Modified the code to handle T beams
- 16. PLOTS FROM SIVANAGENDRA’S CODE
- 17. FEA VS SIVANAGENDRA’S CODE Deflection (FEA/ABAQUS) (m) Deflection( Code) (m) Deviation (%) 0.01397 0.01658 15.741 % 0.03612 0.03844 6.035 %
- 18. DMA
- 19. BEAM WITH FILLET RADIUS (FEA)
- 20. PLOTS y = -0.245x + 0.014 R² = 0.9161 1.28E-02 1.30E-02 1.32E-02 1.34E-02 1.36E-02 1.38E-02 1.40E-02 1.42E-02 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 0.0035 0.004 0.0045 Deflection Fillet radius Average Deflection Vs Fillet Radius 34mm
- 21. CONTD y = -2E+09x + 4E+07 R² = 0.8607 y = -2E+09x + 4E+07 0.00E+00 5.00E+06 1.00E+07 1.50E+07 2.00E+07 2.50E+07 3.00E+07 3.50E+07 4.00E+07 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 0.0035 0.004 0.0045 Average StressVsFillet_Radius_34mm
- 22. CONTD 3.46E-02 3.48E-02 3.50E-02 3.52E-02 3.54E-02 3.56E-02 3.58E-02 3.60E-02 3.62E-02 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 0.0035 0.004 0.0045 Average Deflection vs Fillet Radius 54mm Average Deflection vs Fillet Radius Linear (Average Deflection vs Fillet Radius)
- 23. CONTD y = -2E+09x + 5E+07 R² = 0.9789 0.00E+00 5.00E+06 1.00E+07 1.50E+07 2.00E+07 2.50E+07 3.00E+07 3.50E+07 4.00E+07 4.50E+07 5.00E+07 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 0.0035 0.004 0.0045 Stress Vs fillet Radius 54mm Stress Vs fillet Radius 54mm Linear (Stress Vs fillet Radius 54mm)
- 24. ANALYTICAL MODEL : MODEL1
- 25. ASSUMPTIONS The Material is in the Linear-Elastic region of the Stress-Strain Curve Small Displacements
- 26. THE DEFLECTION EQUATION (MAX DEFLECTION)
- 27. MODEL 2 : REFINEMENT
- 29. DOES IT WORK? 0.016838225 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.00E+00 1.00E-03 2.00E-03 3.00E-03 4.00E-03 5.00E-03 6.00E-03 Deflectioninmetre Fillet radius in metre (log scale) Deflection Vs Fillet Radius (linear scale) F=0.25 N F=0.3 N F=0.3674 N
- 30. WAIT ,ISN’T THAT SUPPOSED TO HAVE A NEGATIVE SLOPE?? Inferences: Stiffness decreases with increase in fillet radius. What could possibly cause this ? Geometric linearity Coordinate System
- 31. RESULTS 0.00E+00 5.00E-03 1.00E-02 1.50E-02 2.00E-02 2.50E-02 3.00E-02 3.50E-02 4.00E-02 4.50E-02 0 0.001 0.002 0.003 0.004 0.005 0.006 Average Deflection Vs Fillet Radius 34mm Deflection Vs Filet radius Deflection vs Fillet radius (Model 1) Deflection vs Fillet Radius (Model 2) FEM with Geometric Linearity Geometric Linearity is not responsible for the decreasing stiffness of the beam
- 32. EUREKA!
- 34. CORRECTED PLOT 0.00E+00 5.00E-03 1.00E-02 1.50E-02 2.00E-02 2.50E-02 3.00E-02 3.50E-02 4.00E-02 4.50E-02 0 0.001 0.002 0.003 0.004 0.005 0.006 Average Deflection Vs Fillet Radius 34mm (Corrected) Deflection Vs Filet radius Deflection vs Fillet Radius (Model 2) Deflection vs Fillet radius (corrected)
- 35. USER ANALYSIS…
- 36. SCOPE FOR FURTHER RESEARCH User research : Conducting a large scale survey to better understand the product and to identify improvement directions Development of a beam bending equation( beam with fillets) for Non Linear Geometry Development of a deflection equation for a general n-line circular segment interpolation. Attempt to understand the pre-stressed nature of the beams ( Studying the existing Manufacturing process)
- 37. WHAT I LEARNT FROM THE INTERNSHIP I was introduced to FEA FEA in ABAQUS Basics of MATLAB and Maple Learnt to operate the DMA Machine Research is iterative in nature and requires a great investment of time and a systematic approach. I got a feel of how research is carried out in Academia
- 38. ACKNOWLEDGEMENTS I would really like to thank Professor Ananthasuresh for giving me an opportunity to be a part of versatile and diverse research community. Nitish and Hari for helping me both in and beyond the confines of the project, their suggestions were very valuable. Navneet for helping me modify Sivanagendra’s code and for helping me with the Mesh convergence plots. Ramesh for helping me with DMA machine and with understanding the nitty-gritties of ABAQUS.
- 39. ACKNOWLEDGEMENTS Niharika and Akshay for helping me realise the Analytical equations. Vineet and Mayank for helping me get acquainted with the lab. Santosh for ever complying to my demand for new beams. Sivanagendra for his program on the bending of Cantilever beams. The entire M2D2 and Biomechanics Lab groups for participating in the survey.