Analysis of the flexural vibration of a thinplate box using a combination of finite element analysis and analytical impedances
Grice, R.M. and Pinnington, R.J. (2001) Analysis of the flexural vibration of a thinplate box using a combination of finite element analysis and analytical impedances. Journal of Sound and Vibration, 249, (3), 499527. (doi:10.1006/jsvi.2001.3847).
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Description/Abstract
Many practical builtup thinplate structures, e.g., a modern car body, are essentially assemblies of numerous thin plates joined at their edges. The plates are so thin that they invariably support the weight of the structure and machinery using their substantial inplane stiffness. Consequently, vibrational power injected into the structure from sources mounted at these stiff points is controlled by high impedance longwavelength inplane waves in the plates. As the long inplane waves propagate around the structure, they impinge upon the numerous structural joints at which shortwavelength flexural waves are generated in adjoining plates. These flexural waves have much lower impedance than the inplane waves. Hence, the vibration of thinplate structures excited at their stiff points develops into a mixture of long inplane waves and short flexural waves. In a previous paper by the same authors, a numerically efficient finite element analysis which accommodated only the long inplane waves was used to predict the forced response of a sixsided thinplate box at the stiff points. This paper takes that finite element analysis and, drawing on theory developed in two additional papers by the same authors, couples analytical impedances to it in order to represent the short flexural waves generated at the structural joints. The parameters needed to define these analytical impedances are identified. The vibration of the impedances are used to calculate estimates of the meansquare flexural vibration of the box sides which compare modestly with laboratory measurements. The method should have merit in predicting the vibration of builtup thinplate structures in the socalled "midfrequency" region where the modal density of the long waves is too low to allow confident application of statistical energy analysis, yet the modal density of the short flexural waves is too high to allow efficient finite element analysis.
Item Type:  Article  

Digital Object Identifier (DOI):  doi:10.1006/jsvi.2001.3847  
Related URLs:  
Subjects:  Q Science > QC Physics  
Divisions:  University Structure  Pre August 2011 > Institute of Sound and Vibration Research > Dynamics 

ePrint ID:  9996  
Date : 


Date Deposited:  21 Dec 2004  
Last Modified:  31 Mar 2016 11:13  
URI:  http://eprints.soton.ac.uk/id/eprint/9996 
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