Abstract
The study of vibrations in beams has been largely addressed by authors and researchers. However, relatively few researchers have considered the case of unknown boundary conditions, as usually it is reasonable to assume the classical cases such as simply supported, clamped or free. Indeed, there are a wide variety of boundary-condition configurations, each one representing a whole different problem with its own modal characteristics. A method for updating experimental beam models to specifically address the issue of unknown boundary conditions is proposed; this methodology takes advantage of vector comparison techniques such as the modal assurance criterion based on the Cauchy-Schwartz inequality to determine the degree of linear relationship between two mode shapes systematically and iteratively until an acceptable parametric match is found. This paper includes the phases of numerical study and experimental validation. A brief introduction with some relevant previous publications is presented, before explaining the methodology derivations and considerations in the numerical study section. A section devoted to demonstrate the methodology with an experimental example is presented in the Experimental validation section, and finally some conclusions and future work.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Allemang RJ (2003) The modal assurance criterion–20 years of use and abuse. Sound Vib 37(8):14–23
Lieven N, Ewins D (1988) Spatial correlation of mode shapes, the coordinate modal assurance criterion (COMAC). In: Proceedings of the 4th international modal analysis conference, vol 1, pp 690–695
Heylen W, Lammens S (1996) FRAC: a consistent way of comparing frequency response functions. In: Proceedings of conference on identification in engineering systems, pp 48–57
Fotsch D, Ewins D (2000) Application of MAC in the frequency domain. Rolls Royce PLC-Report-PNR
Heylen W, Janter T (1990) Extensions of the modal assurance criterion. J Vib Acoust 112(4):468–472
Brechlin E, Bendel K, Keiper W (1999) A new scaled modal assurance criterion for eigenmodes containing rotational degrees of freedom. In: Proceedings of the International Seminar on Modal Analysis, vol 3, pp 1175–1182
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Silva, C.E., Dyke, S.J. (2015). Numerical Study and Experimental Validation of a Method for Model Updating of Boundary Conditions in Beams. In: Caicedo, J., Pakzad, S. (eds) Dynamics of Civil Structures, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-15248-6_29
Download citation
DOI: https://doi.org/10.1007/978-3-319-15248-6_29
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15247-9
Online ISBN: 978-3-319-15248-6
eBook Packages: EngineeringEngineering (R0)