Abstract
Validation of finite element models using experimental data with unknown boundary conditions proves to be a significant obstacle. For this reason, the boundary conditions of an experiment are often limited to simple approximations such as free or mass loaded. This restriction means that vibration testing and modal analysis testing have typically required separate tests since vibration testing is often conducted on a shaker table with unknown boundary conditions. If modal parameters can be estimated while the test object is attached to a shaker table, it could eliminate the need for a separate modal test and result in a significant time and cost savings. This research focuses on a method to extract fixed base modal parameters for model validation from driven base experimental data. The feasibility of this method was studied on an Unholtz-Dickie T4000 shaker and slip table using a mock payload and compared with results from traditional modal analysis testing methods.
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Abbreviations
- \( a \) :
-
Acceleration
- \( f \) :
-
Force
- \( H \) :
-
Frequency response function
- \( q \) :
-
Principal coordinates associated with \( \it \Psi \)
- \( p \) :
-
Principal coordinates associated with \( \it \Upsilon \)
- \( x \) :
-
Displacement
- \( \phi \) :
-
Modal matrix
- \( F \) :
-
Modal force
- \( \it \Psi \) :
-
Mass normalized mode shape
- \( R \) :
-
Reduction matrix
- \( \it \Upsilon \) :
-
Constraint mode shapes
- Superscripts:
-
 
- \( + \) :
-
Pseudo-inverse
- \( {\hbox{T}} \) :
-
Transpose
- Subscripts:
-
 
- \( f \) :
-
Degree of freedom at free location
- \( c \) :
-
Degree of freedom at constraint location
- \( fs \) :
-
Full system
- \( diag \) :
-
Diagonal matrix
References
Mayes RL, Allen MS (2011) Converting a driven base vibration test to a fixed base modal analysis. In: International modal analysis conference, Jacksonville
Allen MS, Gindin HM, Mayes RL (2010) Experimental modal substructuring to extract fixed-base modes from a substructure attached to a flexible fixture. In: International modal analysis conference, Orlando
Crowley JR, Klosterman AL, Rocklin GT, Vold H (1984) Direct structural modification using frequency response functions. In: International modal analysis conference, Orlando, pp 58–65
Mayes RL, Bridgers LD (2009) Extracting fixed base modal models from vibration tests on flexible tables. In: International modal analysis conference, Orlando
Hensley DP, Mayes RL (2006) Extending SMAC to multiple references. In: International modal analysis conference, St. Louis, pp 220–230
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Appendices
Appendix 1 Unconstrained Mode Shapes on Seismic Mass
Appendix 2 Unconstrained Mode Shapes on Shaker Table
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© 2012 The Society for Experimental Mechanics, Inc. 2012
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Zwink, B.R., Mayes, R.L., Kelton, D.W., Heister, J.D., Hunter, P.S., Gomez, A.J. (2012). Converting a Slip Table Random Vibration Test to a Fixed Base Modal Analysis. In: Allemang, R., De Clerck, J., Niezrecki, C., Blough, J. (eds) Topics in Modal Analysis I, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2425-3_31
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DOI: https://doi.org/10.1007/978-1-4614-2425-3_31
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Print ISBN: 978-1-4614-2424-6
Online ISBN: 978-1-4614-2425-3
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