Laboratory for Dynamics of Machines and Structures 
Spatial-mode-shape identification using a continuous wavelet transform
 M. Česnik, J. Slavič and M. Boltežar
Journal of Mechanical Engineering, Volume 55, 5, May 2009, Pages 277-285

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Abstract
This paper presents an experimental modal analysis of a damped multi-degree-of-freedom mechanical system using a continuous wavelet transform. An approximation of the wavelet transform of the impulse response function is deduced, which serves as a basis for the extraction of the natural frequencies, the damping ratios and the mode shapes. Due to an approximation with a finite Taylor series a computational error in the identified oscillatory amplitude occurs, which is observed for the simulated system response. The presented approach of modal identification is applied to real mechanical systems, such as a steel beam and the horizontal tail of an ultralight aircraft. Using the proposed measurement methodology, it is possible to reconstruct the spatial mode shapes of any dynamic linear system with an arbitrary geometry.
Authors

Researcher

Martin Česnik, PhD

  Ladisk, Faculty of Mechanical Engineering, University of Ljubljana
  martin.cesnik@fs.uni-lj.si
  +386 1 4771 227
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Associate Professor

Janko Slavič, PhD

  Ladisk, Faculty of Mechanical Engineering, University of Ljubljana
  janko.slavic@fs.uni-lj.si
  +386 1 4771 226
jankoslavic     jankoslavic    
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Professor

Miha Boltežar, PhD

  Ladisk, Faculty of Mechanical Engineering, University of Ljubljana
  miha.boltezar@fs.uni-lj.si
  +386 1 4771 608
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