An interface force measurements-based substructure identification and an analysis of the uncertainty propagation

Abstract Substructure-decoupling techniques are used to identify a substructure as a stand-alone system while it is coupled to a complex structure. These techniques can be used for various applications, e.g., when the substructure cannot be measured separately from the complex structure, when modal testing methods are not appropriate due to the limits of the measurement equipment and for vibration-control techniques. The complex structure consists of the unknown substructure and the remaining structure. A drawback of the available substructure-decoupling techniques is that they require a model of the remaining substructure. However, when the model cannot be calculated or (experimentally) identified, the substructure-decoupling techniques cannot be used. In this paper a new approach is presented that does not require a model of the remaining substructure, but is based on an experimental identification of the interface forces. The sensitivity of the approach to experimental errors was researched. Numerical and experimental test cases are researched.

[1]  J. Miller.  Numerical Analysis , 1966, Nature.

[2]  Thomas Abrahamsson,et al.  Substructure system identification from coupled system test data , 2008 .

[3]  T. Leung,et al.  THEORETICAL AND EXPERIMENTAL STUDY OF MODAL STRAIN ANALYSIS , 1996 .

[4]  Daniel Rixen,et al.  A Dual Approach to Substructure Decoupling Techniques , 2011 .

[5]  D. Rixen,et al.  General Framework for Dynamic Substructuring: History, Review and Classification of Techniques , 2008 .

[6]  J. J. Dosch.  Piezoelectric strain sensor , 1999 .

[7]  Semyon G. Rabinovich,et al.  Evaluating Measurement Accuracy , 2010 .

[8]  Daniel Rixen,et al.  A family of substructure decoupling techniques based on a dual assembly approach , 2012 .

[9]  P. Guillaume.  MODAL ANALYSIS , 2022 .

[10]  Zhang,et al.  Book Review ＂William R. Spillers and Keith M. MacBain. Structural Optimization, Springer Dordrecht Heidelberg London New York, 2009＂ , 2010 .

[11]  J. Slavič,et al.  The mass normalization of the displacement and strain mode shapes in a strain experimental modal analysis using the mass-change strategy , 2013 .

[12]  K. Washizu.  Variational Methods in Elasticity and Plasticity , 1982 .

[13]  Miha Boltežar,et al.  The influence of the coordinate reduction on the identification of the joint dynamic properties , 2009 .

[14]  Nuno M. M. Maia,et al.  Theoretical and Experimental Modal Analysis , 1997 .

[15]  Janko Slavič,et al.  A comparison of strain and classic experimental modal analysis , 2016 .

[16]  Paul Sas,et al.  Modal Analysis Theory and Testing , 2005 .

[17]  Annalisa Fregolent,et al.  Direct decoupling of substructures using primal and dual formulation , 2011 .

[18]  S. N. Voormeeren,et al.  Uncertainty quantification in experimental frequency based substructuring , 2010 .

[19]  A. P,et al.  Mechanical Vibrations , 1948, Nature.

[20]  S. N. Voormeeren,et al.  Substructure Decoupling Techniques { a Review and Uncertainty Propagation Analysis , 2009 .

[21]  Myer Kutz,et al.  Mechanical engineers' handbook , 2014 .

[22]  Hugh W. Coleman,et al.  Experimentation, Validation, and Uncertainty Analysis for Engineers , 2009 .

[23]  Peter Avitabile,et al.  Investigation on the Use of Various Decoupling Approaches , 2011 .

[24]  J. Douglas Faires,et al.  Numerical Analysis , 1981 .

[25]  D. J. Ewins,et al.  Modal Testing: Theory and Practice , 1984 .