A modal impedance technique for mid and high frequency analysis of an uncertain stiffened composite plate

Abstract A modal impedance technique is introduced for mid frequency vibration analyses. The approach is mainly based on statistical energy analysis (SEA), however loss factors are determined by not only driving but also contributed by transfer mobilities. The mobilities are computed by finite element modal analysis. The technique takes geometrical complexity and boundary condition into account to handle their mid-frequency effects. It is applied to a stiffened composite plate having randomized mass, i.e., uncertain plate. For the verification, several numerical and experimental tests are performed. Internal damping of subsystems is evaluated using power injection and is then fed to finite element software to perform numerical analyses. Monte Carlo simulation is employed for the uncertainty analyses. To imitate plate mass heterogeneity, many small masses are used in both numerical and experimental analysis. It is shown that the proposed technique can reliably be used for vibration analyses of uncertain complex structures from mid to high frequency regions.

[1]  Hui Yin,et al.  Hybrid finite element/statistical energy method for mid-frequency analysis of structure−acoustic systems with interval parameters , 2015 .

[2]  Laurent Maxit,et al.  Estimation of Sea Coupling Loss Factors Using a Dual Formulation and FEM Modal Information, Part i: Theory , 2001 .

[3]  Vincent Cotoni,et al.  Numerical and experimental validation of a hybrid finite element-statistical energy analysis method. , 2007, The Journal of the Acoustical Society of America.

[4]  R. Langley,et al.  Elastic wave transmission through plate/beam junctions , 1990 .

[5]  P. Nash,et al.  Measurement of coupling loss factors by matrix fitting: An investigation of numerical procedures , 1987 .

[6]  Elmer E Lewis,et al.  Monte Carlo simulation of Markov unreliability models , 1984 .

[7]  D. A. Bies,et al.  In situ determination of loss and coupling loss factors by the power injection method , 1980 .

[8]  R. Langley,et al.  Vibro-acoustic analysis of complex systems , 2005 .

[9]  Jerome E. Manning.  Formulation of SEA parameters using mobility functions , 1994, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[10]  R. Lyon,et al.  Theory and Application of Statistical Energy Analysis , 2014 .

[11]  Nickolas Vlahopoulos,et al.  An investigation of power flow in the mid-frequency range for systems of co-linear beams based on a hybrid finite element formulation , 2001 .

[12]  M. Hohenbichler,et al.  Improvement Of Second‐Order Reliability Estimates by Importance Sampling , 1988 .

[13]  C. R. Fredö.  A sea-like approach for the derivation of energy flow coefficients with a finite element model , 1997 .

[14]  Brian R. Mace,et al.  Statistical energy analysis, energy distribution models and system modes , 2003 .

[15]  Andy C. C. Tan,et al.  Vibration of L-shaped plates under a deterministic force or moment excitation: a case of statistical energy analysis application , 2011 .

[16]  Abdullah Seçgin,et al.  Numerical determination of statistical energy analysis parameters of directly coupled composite plates using a modal-based approach , 2013 .

[17]  Frank Fahy,et al.  DETERMINATION OF STATISTICAL ENERGY ANALYSIS LOSS FACTORS BY MEANS OF AN INPUT POWER MODULATION TECHNIQUE , 1997 .

[18]  José Roberto de França Arruda,et al.  Estimation of the SEA Coupling Loss Factors by Means of Spectral Element , 2003 .

[19]  Robert J.M. Craik,et al.  Statistical Energy Analysis Of Structure-borne Sound Transmission By Finite Element Methods , 1994 .

[20]  Tim B. Swartz,et al.  Approximating Integrals Via Monte Carlo and Deterministic Methods , 2000 .

[21]  B. Mace,et al.  A mode-based approach for the mid-frequency vibration analysis of coupled long- and short-wavelength structures , 2006 .

[22]  Dhanesh N. Manik.  A NEW METHOD FOR DETERMINING COUPLING LOSS FACTORS FOR SEA , 1998 .

[23]  David Kennedy,et al.  A hybrid wave propagation and statistical energy analysis on the mid-frequency vibration of built-up plate systems , 2015 .

[24]  S. Rosa,et al.  On the use of the asymptotic scaled modal analysis for time-harmonic structural analysis and for the prediction of coupling loss factors for similar systems , 2010 .

[25]  Wim Desmet,et al.  An efficient wave based prediction technique for plate bending vibrations , 2007 .

[26]  Robert J. Bernhard,et al.  Definition of a high-frequency threshold for plates and acoustical spaces , 2004 .

[27]  Jean-Louis Guyader,et al.  SEA Coupling Loss Factors of Complex Vibro-Acoustic Systems , 2009 .

[28]  Ruisen Ming.  An experimental comparison of the sea power injection method and the power coefficient method , 2005 .

[29]  R. Langley,et al.  A hybrid method for the vibration analysis of complex structural-acoustic systems , 1999 .