Vibration Analysis of Radial Drilling Machine Structure Using Finite Element Method

Abstract:

Manufacturing industries now a days have stringent expectation from the machine tools in terms of productivity as well as quality of products.Vibration plays an important role in determining the quality of product.If the pattern of vibration prevailing in the machine tool during cutting is known,then machine tool structure can be designed in such a way so that natural frequency of machine tool structure can be isolated from the forced frequency.So, this study is focused on finding the natural frequency and mode shapes of radial drilling machine structure.Finite element analysis has been done to find out the natural frequencies and mode shapes of radial drilling machine structure.Assembled mass and stiffness matrices are obtained for each element and solved by using inverse iteration technique.

• Periodical: Advanced Materials Research (Volumes 472-475)
• Pages: 2717-2721
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.472-475.2717
• Online since: February 2012
• Authors: Rajiv Kumar, Mohinder Pal Garg, Rakesh C. Sharma
• Keywords: Drilling Machine, Finite Element Method (FEM), Shaped Structure, Two-Noded Frame Element, Vibration Analysis (VA)

References

[1] R.E. Bellmon,J.Casti: Differential quadrature and long term integration, Journal of Mathematical Analysis and Applications, Vol. 34 (1971), pp.233-238.

DOI: 10.1016/0022-247x(71)90110-7

[2] M.K. Liew, T.M Teo: three dimensional vibration analysis of rectangular plates using differnetial quadrature method, Journal of Sound and vibration (1997) pp.577-599.

DOI: 10.1006/jsvi.1998.1927

[3] G.W. Wei: Vibration analysis by singular convolution, Journal of Sound and Vibration, Sec. 32(1998)pp.459-473.

[4] R.S. Bais A.K. Gupta B.C. Nakra T.K. Kundra: Studies in dynamic design of drilling machine using updated finite element models,Mechanism and Machine Theory39(2004) 1307–1320.

DOI: 10.1016/j.mechmachtheory.2004.05.022

[5] J.S. Saini, M.P. Garg,T. Nanda: Finding the Natural Frequencies and Mode Shapes for Vibration Analysis of Upright Drilling Machine, IE (I) Journal, MC, vol. 86( 2005)pp.164-171.

[6] Matti Rantataloa, Jan-Olov Aidanpa, Bo Go ranssonc, Peter Normand: Milling machine spindle analysis using FEM and non-contact spindle excitation and response measurement, International Journal of Machine Tools & Manufacture 47 (2007) Elsevier Ltd. 1034–1045.

DOI: 10.1016/j.ijmachtools.2006.10.004

[7] Wang Weiwei:Finite Element Analysis of Dynamic Characteristic for the XK717 CNC Milling Machine, International Conference on Measuring Technology and Mechatronics Automation (2009), IEEE.

DOI: 10.1109/icmtma.2009.112

[8] H. Nguyen-Xuan , G.R. Liu, C. Thai-Hoang, T. Nguyen-Thoi:An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates, Comput. Methods Appl. Mech. Engrg. 199 (2010)471–489.

DOI: 10.1016/j.cma.2009.09.001

[9] E.S. Ventsel , V.Naumenko, E.Strelnikova, E.Yeseleva: Free vibrations of shells of revolution filled with a fluid, Engineering Analysis with Boundary Elements 34 (2010) Elsevier Ltd. 856–862 .

DOI: 10.1016/j.enganabound.2010.05.004