Updating finite element models using measured vibration data

The modelling of mechanical structures using finite element analysis has become an indispensable stage in the design of new components and products. Once the theoretical design has been optimised a prototype may be constructed and tested. What can the engineer do if the measured and theoretically predicted vibration characteristics of the structure are significantly different? This thesis considers the problems of changing the parameters of the finite element model to improve the correlation between a physical structure and its mathematical model. Two new methods are introduced to perform the systematic parameter updating. The first uses the measured modal model to derive the parameter values with the minimum variance. The user must provide estimates for the variance of the theoretical parameter values and the measured data. Previous authors using similar methods have assumed that the estimated parameters and measured modal properties are statistically independent. This will generally be the case during the first iteration but will not be the case subsequently. The second method updates the parameters directly from the frequency response functions. The order of the finite element model of the structure is reduced as a function of the unknown parameters. A method related to a weighted equation error algorithm is used to update the parameters. After each iteration the weighting changes so that on convergence the output error is minimised. The suggested methods are extensively tested using simulated data. An H frame is then used to demonstrate the algorithms on a physical structure.

Tracking and updating academic research in selling and sales management:a decade later

This study examines the state of academic research in selling and sales management (S&SM) from the years 2003-7, ten years after the data collected by Moncrief, Marshall, and Watkins (2000). Sales articles are reviewed that appeared in 19 marketing journals and evidence is provided on the state of the S&SM discipline by comparing the number of authors, authorships, and publications versus a comparable five-year period a decade ago. Of interest are the universities that produce and employ faculty in S&SM and to identify those schools and geographic regions that are publishing the majority of articles. Publication distribution trends across journals are also examined. A dramatic increase in non-U.S. authors and authorships is noted versus the prior study. Overall, the findings indicate that, perhaps contrary to some popular misconceptions, the state of S&SM research is healthy, vibrant, and evolving.

Constructive updating/downdating of oblique projectors:a generalization of the Gram-Schmidt process

A generalization of the Gram-Schmidt procedure is achieved by providing equations for updating and downdating oblique projectors. The work is motivated by the problem of adaptive signal representation outside the orthogonal basis setting. The proposed techniques are shown to be relevant to the problem of discriminating signals produced by different phenomena when the order of the signal model needs to be adjusted. © 2007 IOP Publishing Ltd.