Material and physical properties of a frequency-dependent visco-elastic sandwich beam are modeled as a set of spatial random fields and represented by means of the Karhunen–Loève expansion. Variability analysis of frequency and loss factor are performed. An efficient approach based on modal stability procedure (MSP) is used, the so-called Monte Carlo simulation (MCS)–MSP method. The latter provides very reliable results and allows to analyze the impact of the input variability of a high number of random spatial quantities on the output response. The effect of independent and correlated couples of spatial random fields is investigated. It is shown that the output variability is generally more important for damping than for natural frequencies. Moreover, it is demonstrated that the input variability in geometrical properties are the most impacting for damping and frequency. The influence of input coefficient of variation on output variability is also studied. It is shown that a negative correlation between the face and core thicknesses result in high levels of output variability, when one parameter increases as the other decreases.
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December 2017
Research-Article
Variability Analysis of Modal Characteristics of Frequency-Dependent Visco-Elastic Three-Layered Sandwich Beams With Spatial Random Geometrical and Material Properties
Frédéric Druesne,
Frédéric Druesne
Laboratoire Roberval UMR CNRS 7337,
Centre de Recherche de Royallieu,
Université de Technologie de Compiègne,
CS 60319,
Compiègne Cedex 60203, France
e-mail: frederic.druesne@utc.fr
Centre de Recherche de Royallieu,
Université de Technologie de Compiègne,
CS 60319,
Compiègne Cedex 60203, France
e-mail: frederic.druesne@utc.fr
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Mohamed Hamdaoui,
Mohamed Hamdaoui
LEM3 UMR 7239,
Université de Lorraine,
Ile du Saulcy,
Metz Cedex 01 57045, France
Université de Lorraine,
Ile du Saulcy,
Metz Cedex 01 57045, France
Search for other works by this author on:
Qi Yin,
Qi Yin
Laboratoire Roberval UMR CNRS 7337,
Centre de Recherche de Royallieu,
Université de Technologie de Compiègne,
CS 60319,
Compiègne Cedex 60203, France
Centre de Recherche de Royallieu,
Université de Technologie de Compiègne,
CS 60319,
Compiègne Cedex 60203, France
Search for other works by this author on:
El Mostafa Daya
El Mostafa Daya
LEM3 UMR 7239,
Université de Lorraine,
Ile du Saulcy,
Metz Cedex 01 57045, France
Université de Lorraine,
Ile du Saulcy,
Metz Cedex 01 57045, France
Search for other works by this author on:
Frédéric Druesne
Laboratoire Roberval UMR CNRS 7337,
Centre de Recherche de Royallieu,
Université de Technologie de Compiègne,
CS 60319,
Compiègne Cedex 60203, France
e-mail: frederic.druesne@utc.fr
Centre de Recherche de Royallieu,
Université de Technologie de Compiègne,
CS 60319,
Compiègne Cedex 60203, France
e-mail: frederic.druesne@utc.fr
Mohamed Hamdaoui
LEM3 UMR 7239,
Université de Lorraine,
Ile du Saulcy,
Metz Cedex 01 57045, France
Université de Lorraine,
Ile du Saulcy,
Metz Cedex 01 57045, France
Qi Yin
Laboratoire Roberval UMR CNRS 7337,
Centre de Recherche de Royallieu,
Université de Technologie de Compiègne,
CS 60319,
Compiègne Cedex 60203, France
Centre de Recherche de Royallieu,
Université de Technologie de Compiègne,
CS 60319,
Compiègne Cedex 60203, France
El Mostafa Daya
LEM3 UMR 7239,
Université de Lorraine,
Ile du Saulcy,
Metz Cedex 01 57045, France
Université de Lorraine,
Ile du Saulcy,
Metz Cedex 01 57045, France
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received February 8, 2017; final manuscript received May 17, 2017; published online August 1, 2017. Assoc. Editor: Mohammed Daqaq.
J. Vib. Acoust. Dec 2017, 139(6): 061007 (10 pages)
Published Online: August 1, 2017
Article history
Received:
February 8, 2017
Revised:
May 17, 2017
Citation
Druesne, F., Hamdaoui, M., Yin, Q., and Daya, E. M. (August 1, 2017). "Variability Analysis of Modal Characteristics of Frequency-Dependent Visco-Elastic Three-Layered Sandwich Beams With Spatial Random Geometrical and Material Properties." ASME. J. Vib. Acoust. December 2017; 139(6): 061007. https://doi.org/10.1115/1.4036930
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