Error characterization in modal analysis and model updating. An overview of tools and procedures using the Structural Dynamics Toolbox.
will be presented by Etienne Balmès at the SURVISHNO conference in Lyon on July 8, 2019. This tutorial will mix theoretical considerations and applications using SDT.
Experimental modal analysis seeks to extract shape and
resonance properties from test data. While identification algorithms have been
well documented for a long time, at least under the assumption linear behavior,
significant differences continue to exist in the implementation details. In
particular, non-linear optimization of poles and work by sub-bands is an often
overlooked necessity to avoid bias. Once modal data available, the next step is
to obtain test/analysis correlation. This requires topology correlation which
brings its share of errors, which despite being usually small should be
addressed. Global correlation criteria, such as the MAC, are introduced next
but for efficient use should be complemented by a set of procedures to localize
measurement, topology and correlation errors. While the simple evaluation of
correlation is often an industrial objective, the best exploitation of test
results is achieved using hybrid approaches combining test with a model, which
does not need to be exact to usefully complement the measurements. In
particular, expansion methods estimating the full Finite Element responses from
data measured at sensors are particularly useful. Energy based criteria on the
model side (Minimum Dynamic Residual Expansion or the various variants of Error
in Constitutive Relation) have been long known to provide excellent solutions
but deployment has been scarce due to an important numerical cost. Simple model
reduction strategies are shown to give excellent results for industrial models
and open the way for model error localization and updating.
The tutorial is illustrated using standard procedures
implemented in the Structural Dynamics Toolbox which provides experimental
modal analysis, finite element modeling, model reduction and correlation tools
in the MATLAB environment. A main brake squeal application serves a red line
and is complemented by illustrations from other industries.
SDT 7.1 is the only version fully compatible with MATLAB 9.4 (2018b) to 9.6 (2019a) mostly due to changes in the representation of complex numbers in MATLAB. Key changes of this release are
- A continued effort in making the experimental modal analysis part of SDT section 2.2 fully accessible without any script is nearly complete. Functions however obviously remain accessible from the command line to users will to learn how to use them. The associated docks Id (for experimental modal analysis see section 2.2), CoTopo (topology correlation see section 3.1) and CoShape (test/FEM correlation see section 3.2) have been extended and tutorials have been introduced.
- A major effort was put on the documentation. The new structuration of demos into tutorials helps training. You can for example see tutorials in various files with d_mesh(‘tuto’), gartid(‘tuto’), d_cor(‘tuto’), d_cms(‘tuto’), …. Equations are now shown as SVG files which improves readability, but may pose problems on some older versions of MATLAB where the help browser does not support SVG.
- We are still working with the MathWorks on improving reliability of the help browser. To bypass some bugs, you may have to change default location where the help is shown using sdtdef(‘browser-SetPref’,‘-helpbrowser’) or sdtdef(‘browser-SetPref’,‘-webbrowser’). For clickable areas of SVG figures, use Ctrl-Click to open in a new window or right-click and select Open in a new tab.
Outside improved robustness of the GUI, key changes for FEMLink are
- ans2sdt extended BDF reading in particular for orthotropic materials and substructure export (to ease superelement import). Job submission integration is now supported as a consulting project feature.
- nasread compatibility with NX Nastran BGSET and BSURFS cards. Documentation of superelement (see d_cms(‘TutoNasCb’)). Performance of MAT9 and set reading.
- abaqus significant .inp reading improvements *distribution,*hyperelastic, set handling, … Performance of large .fil reading. Robustness and performance enhancements of resolve commands. Introduction of a .dat reading framework for customer use, with complex modes output reading support.
You can download SDT 7.1 from www.sdtools.com/faq/Release.html
SDT 7.0 is now released.
SDT 7.0 is the only version compatible with MATLAB 9.2 (2017a), 9.3 (2017b) and 9.4 (2018b) mostly due to ongoing improvements of MATLAB graphics. Key changes of this release are
- A full rewrite and major extension of modal analysis graphical interfaces and documentation detailed in section 2.2. Step-by-step tutorials, such as section 2.2.1, include buttons of the form Run which you can use to execute a step. LSCF and stabilization diagrams are now supported.
- The new notion of docks corresponds to MATLAB docks where multiple figures are combined for a typical use. Currently supported docks are
- Id : for experimental modal analysis see section 2.2
- TestFEM : topology correlation see section 3.1
- MAC : test/FEM correlation see ii_mac.
- A major update of SDT GUI with most existing tabs ported to Java mode and necessary in docks. You can set the default tab to Java mode using sdtdef(‘JavaUI’,1) or turn it off with sdtdef(‘JavaUI’,0). User documentation of tabs can be found in section 8.2. Developer level documentation of GUI functions is now included in section 8.
- Use sdtweb(‘feplot’,‘webbrowser’) to bypass the not yet fixed MATLAB bug where the links within pages are not called appropriately.
Key changes for FEMLink are
- ans2sdt improved import of .cdb and support of contacts.
- nasread Direct import of EXTESOUT output to SDT superelement format. Continued enhancements of bulk and op2 reading. Initial support of .op2 format writing of responses.
- abaqus continued enhancements of .INP reading in particular for composites and superelements, contact, … Significant writing enhancements.
- GUI import of models is supported with the FEMLink tab, section 8.2.2.
You can download SDT 7.0 from www.sdtools.com/faq/Release.html