Main Article Content
Abstract
Many mechanical structures are composed of substructures connected together by joints such as bolts, welds, rivets etc. The added flexibility introduced by the joint to the structure has significant effect on the static and dynamic behavior of the structure and must be accurately modeled. This fact clearly indicates that the analyses will not properly model the dynamic behavior of the structure if the joints cannot be accurately identified. This has prompted the researchers to include the effect of joint stiffness in the structural model and to estimate the stiffness parameters using inverse dynamics. In the present work, single lap joint has been modeled as a pair of translational and rotational springs and frequency equation of the overall system has been developed using sub-structure synthesis. The validity of the proposed method is demonstrated; only first few natural frequencies of the composite system is required to estimate unknown joint stiffness parameters.
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References
- Hamid Ahmadian and Hassan Jalali., "Generic Element Formulation for Modelling Bolted Lap Joints", Mechanical Systems and Signal Processing, Vol.21, pp.2318-2334, 2007.
- Matthew Oldfield., Hualiang Ouyang and John E.Mottershead., "Simplified Models of bolted joints Under Harmonic Loading", Computers and Structures, Vol.84, pp.25-33, 2005.
- Doo-Ho Lee and Woo-Seok Hwang., "An Identification Method for Joint Structural Parameters Using an FRF-based Substructuring Method and an Optimization Technique", Journal of Mech. Science and Technology, Vol.21, pp.2011-2022, 2007.
- Tsai, J.S. and Chou, Y.F., "The Identification of Dynamic Characteristics of a Single Bolt Joint", Journal of Sound and Vibration, Vol.125, No.3, pp.487-502, 1988.
- Hamid Ahmadian and Hassan Jalali., "Identification of Bolted Lap Joints Parameters in Assembled Structures", Mechanical Systems and Signal Processing, Vol.21, No.2, pp.1041-1050, 2007.
- Liu, W. and Ewins, D.J., "Substructure Synthesis Via Elastic Media", Journal of Sound and Vibration, Vol.257, No.2, pp.361-379, 2002.
- Tachung Yang., shuo-hao Fan and Chorng-Shyan Lin., "Joint Stiffness Identification Using FRF Measurements", Computers and Structures, Vol.81, pp.2549-2556, 2003.
- Hartwigsen, C.J., Song, Y. and Vakakis, A.F., "Experimental Study of Non-linear Effects in a Typical Shear Lap Joint Configuration", Journal of Sound and Vibration, Vol.277, pp.327-351, 2004.
- Ma, X., Bergman, L. and Vakakis, A., "Identification of Bolted Joints Through Laser Vibrometry", Journal of Sound and Vibration, Vol.246, No.3, pp.441-460, 2001.
- Ratcliffe, M.J. and Lieven, N.A.J., "A Generic Element Based Method for Joint Stiffness Identification", Mechanical Systems and Signal Processing, Vol.14, No.1, pp.3-28, 2000.
- Damijan Celic and Miha Boltezar., "Identification of the Dynamic Properties of Joints Using Frequency Response Functions", Journal of Sound and Vibration, Vol.317, pp.158-174, 2008.
- Ahmadian, H., Mottershed, J.E. and Friswell, M.I., "Boundary Condition Identification by Solving Characteristic Equations", Journal of Sound and Vibration, Vol.247, No.5, pp.755-763, 2001.
- Li, W.L., "A New Method for Structural Model Updating and Joint Stiffness Identification", Mechanical Systems and Signal Processing, Vol.16, No.1, pp.155-167, 2002.
- Sanjay B. Ingole and Animesh Chatterjee., "Joint Stiffness Identification: A Three Parameter Joint Model of Cantilever Beam", International Journal of Acoustics and Vibration, Vol.22, No.1, pp.3-13, 2017.
- Sanjay B. Ingole and Animesh Chatterjee., "Structural Joint Modeling and Identification: Numerical and Experimental Investigation", Structural Engineering and Mechanics, Vol.53, No.2, pp.373-392, 2015.
- Bishop, R.E.D. and Johnson, D.C., "The Mechanics of Vibration", Cambridge University Press, New York, 1960.
- Norman R. Draper and Harry Smith., "Applied Regression Analysis", John Willey and Sons, Singapore, 1998.
References
Hamid Ahmadian and Hassan Jalali., "Generic Element Formulation for Modelling Bolted Lap Joints", Mechanical Systems and Signal Processing, Vol.21, pp.2318-2334, 2007.
Matthew Oldfield., Hualiang Ouyang and John E.Mottershead., "Simplified Models of bolted joints Under Harmonic Loading", Computers and Structures, Vol.84, pp.25-33, 2005.
Doo-Ho Lee and Woo-Seok Hwang., "An Identification Method for Joint Structural Parameters Using an FRF-based Substructuring Method and an Optimization Technique", Journal of Mech. Science and Technology, Vol.21, pp.2011-2022, 2007.
Tsai, J.S. and Chou, Y.F., "The Identification of Dynamic Characteristics of a Single Bolt Joint", Journal of Sound and Vibration, Vol.125, No.3, pp.487-502, 1988.
Hamid Ahmadian and Hassan Jalali., "Identification of Bolted Lap Joints Parameters in Assembled Structures", Mechanical Systems and Signal Processing, Vol.21, No.2, pp.1041-1050, 2007.
Liu, W. and Ewins, D.J., "Substructure Synthesis Via Elastic Media", Journal of Sound and Vibration, Vol.257, No.2, pp.361-379, 2002.
Tachung Yang., shuo-hao Fan and Chorng-Shyan Lin., "Joint Stiffness Identification Using FRF Measurements", Computers and Structures, Vol.81, pp.2549-2556, 2003.
Hartwigsen, C.J., Song, Y. and Vakakis, A.F., "Experimental Study of Non-linear Effects in a Typical Shear Lap Joint Configuration", Journal of Sound and Vibration, Vol.277, pp.327-351, 2004.
Ma, X., Bergman, L. and Vakakis, A., "Identification of Bolted Joints Through Laser Vibrometry", Journal of Sound and Vibration, Vol.246, No.3, pp.441-460, 2001.
Ratcliffe, M.J. and Lieven, N.A.J., "A Generic Element Based Method for Joint Stiffness Identification", Mechanical Systems and Signal Processing, Vol.14, No.1, pp.3-28, 2000.
Damijan Celic and Miha Boltezar., "Identification of the Dynamic Properties of Joints Using Frequency Response Functions", Journal of Sound and Vibration, Vol.317, pp.158-174, 2008.
Ahmadian, H., Mottershed, J.E. and Friswell, M.I., "Boundary Condition Identification by Solving Characteristic Equations", Journal of Sound and Vibration, Vol.247, No.5, pp.755-763, 2001.
Li, W.L., "A New Method for Structural Model Updating and Joint Stiffness Identification", Mechanical Systems and Signal Processing, Vol.16, No.1, pp.155-167, 2002.
Sanjay B. Ingole and Animesh Chatterjee., "Joint Stiffness Identification: A Three Parameter Joint Model of Cantilever Beam", International Journal of Acoustics and Vibration, Vol.22, No.1, pp.3-13, 2017.
Sanjay B. Ingole and Animesh Chatterjee., "Structural Joint Modeling and Identification: Numerical and Experimental Investigation", Structural Engineering and Mechanics, Vol.53, No.2, pp.373-392, 2015.
Bishop, R.E.D. and Johnson, D.C., "The Mechanics of Vibration", Cambridge University Press, New York, 1960.
Norman R. Draper and Harry Smith., "Applied Regression Analysis", John Willey and Sons, Singapore, 1998.