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A statistical characterization method for damping material properties and its application to structural-acoustic system design
Byung C. Jung, Dooho Lee*, Byeng D. Youn** and Soobum Lee
The Journal of Mechanical Science and Technology, vol. 25, no. 8, pp.1893-1904, 2011
Abstract : The performance of surface damping treatments may vary once the surface is exposed to a wide range of temperatures, because the
performance of viscoelastic damping material is highly dependent on operational temperature. In addition, experimental data for dynamic
responses of viscoelastic material are inherently random, which makes it difficult to design a robust damping layout. In this paper a statistical
modeling procedure with a statistical calibration method is suggested for the variability characterization of viscoelastic damping
material in constrained-layer damping structures. First, the viscoelastic material property is decomposed into two sources: (i) a random
complex modulus due to operational temperature variability, and (ii) experimental/model errors in the complex modulus. Next, the variability
in the damping material property is obtained using the statistical calibration method by solving an unconstrained optimization
problem with a likelihood function metric. Two case studies are considered to show the influence of the material variability on the acoustic
performances in the structural-acoustic systems. It is shown that the variability of the damping material is propagated to that of the
acoustic performances in the systems. Finally, robust and reliable damping layout designs of the two case studies are obtained through the
reliability-based design optimization (RBDO) amidst severe variability in operational temperature and the damping material.
Keyword : Constrained-layer damping layout; Statistical modeling of viscoelastic material; Statistical calibration method; Structural-acoustic system; Reliability-based design optimization |
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