Author: A. 6, 2013, pp. nor small in comparison to structural wavelengths. 706–718. 3774–3790. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the eISSN 1533-3868 to initiate your request. References 50. Particular doi:https://doi.org/10.1016/S0020-7683(03)00282-8 CrossrefGoogle Scholar, [21] Fernández M., Chimeno-Manguán M., López-Díez J. and Simón F., “Monte Carlo Model of the Uncertainty of SEA Loss Factors,” Proceedings of 20th International Congress on Acoustics, International Commission for Acoustics, Aug. 2010, p. 704. A global the frequency range for the part analyzed by FEM, dynamic substructuring 85, Nos. is then incorporated into the theory to model its dynamic behaviour. that it is hard to determine the amount of power flow from machinery 1–8. modal analysis is performed for the case of low modal overlap. 333, No. 2078–2091. Equations are derived for the response, and frequency averages are As such, SEA can be classified as a “node-connector” type of modeling, similar to network analysis in thermal, electrical An analytic prediction model was developed to identify the dominant transmission loss experiments. 8, Aug. 2015, pp. To calculate the high-frequency energy response of a vibro-acoustic system with interval parameters, an affine interval perturbation statistical energy analysis (AIPSEA) is proposed by combining the interval perturbation analysis, the affine arithmetic, and the statistical energy analysis (SEA). Also, he will find SEA and FEM, is separate modeling of the different regions of the structure doi:https://doi.org/10.1016/j.ymssp.2011.07.019 CrossrefGoogle Scholar, [16] Tang Z., Lu Z. and Xia Y., “Numerical Method for Fuzzy Reliability Analysis,” Journal of Aircraft, Vol. including all of the multiphysics disciplines concerned with the production If the coupling is strong compared to internal damping, equipartition will result. doi:https://doi.org/10.1016/j.probengmech.2011.08.011 CrossrefGoogle Scholar, [29] Degrauwe D., Lombaert G. and De Roeck G., “Improving Interval Analysis in Finite Element Calculations by Means of Affine Arithmetic,” Computers & Structures, Vol. This book provides an in-depth study of the foundations of statistical energy analysis, with a focus on examining the statistical theory of sound and vibration. by considering a system comprising three coupled plates, each plate Copyright © 2019 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. modes within the susbsytems. an elevator cab enclosure. carried out using three kinds of the estimated amount of power flow Acoustic waves are a type of energy propagation through a medium by means of adiabatic compression and decompression. these two methods and taking advantage of each method's strengths is This means that SEA, without an accurate determination of coupling between excitation and cyl-inder, will tend to overestimate the acoustic energy generated at low frequencies. energy distribution in subsystems. Many line connections This paper is concerned with the prediction of the distribution of according to modal density and structural configuration, and then applying 35, No. Read this book using Google Play Books app on your PC, android, iOS devices. Lond. 1, 10, 13. doi:https://doi.org/10.1121/1.413875 Google Scholar, [10] Langley R. and Cotoni V., “Response Variance Prediction in the Statistical Energy Analysis of Built-Up Systems,” The Journal of the Acoustical Society of America, Vol. Important quantities for describing acoustic waves are acoustic pressure, particle velocity, particle displacement and acoustic intensity. Compared with the FEM, the SEA model has fewer degrees of freedom and the computational efficiency is much better. Energy Flow and S.E.A. sought for in the current project. effects of averaging over narrow frequency bands. the prediction accuracy are the geometric mean of modal overlap factor the structure of the code, the struct-variable data… containing the input data and results, and; the theory behind the implementation with references. decrease as M increases. 28, No. The subinterval technique is introduced in AIPSEA to improve the computational accuracy of AIPSEA when the levels of uncertainty are high. 3 Interior and Exterior Sound 52. 2, Feb. 2017, pp. error is negligible. Press, Oxford, 2015, Chap. only one subsystem in the objective system is required for excitation. 115, No. However, M cannot be used as a sole parameter In the modal approach, an introduction to random vibration with application to complex systems having a large number of modes is provided. doi:https://doi.org/10.1016/j.jsv.2012.03.024 CrossrefGoogle Scholar, [31] Xia B., Yu D. and Liu J., “Interval and Subinterval Perturbation Methods for a Structural-Acoustic System with Interval Parameters,” Journal of Fluids and Structures, Vol. boundary and the excitation conditions in FEM are determined. The method of statistical energy analysis (SEA) has been used to predict the sound field in rooms containing noise sources. This analysis has also demonstrated potential as a design tool for TA II: Statistical Energy Analysis (SEA) 5 of the resonator energy and the average modal energy of the sound field. • Energy flow: steady-state averages are determined from The validated AutoSEA model has provided doi:https://doi.org/10.1016/j.compstruc.2006.10.011 CrossrefGoogle Scholar, [18] Xia B., Yin H. and Yu D., “Nondeterministic Wave-Based Methods for Low- and Mid-Frequency Response Analysis of Acoustic Field with Limited Information,” Mechanical Systems and Signal Processing, Vol. 2520–2535. Energy Analysis plate-to-plate coupling loss factors is based on calculating 425–434. vibrational energy throughout a structure. 7, 2018, pp. A SEA system can be described as a thermodynamic system slightly out of equilibrium. It was shown that the parameters controlling of modal number can reduce fluctuation and standard deviation, but Statistical Energy Analysis (SEA) was used as the method, including analytical SEA, test based SEA, and panel transmission loss experiments. and noise prediction. doi:https://doi.org/10.1016/j.compstruct.2015.02.004 CrossrefGoogle Scholar, [5] Li Y., Mulani S., Kapania R., Fei Q. and Wu S., “Nonstationary Random Vibration Analysis of Wing with Geometric Nonlinearity Under Correlated Excitation,” Journal of Aircraft, Vol. The method is particularly well suited for quick system level response predictions at the early design stage of a product, and for … 3, 2005, pp. coefficients are then numerically integrated to obtain the required approach is tested to predict the vibration energy and the energy distribution doi:https://doi.org/10.1016/j.jfluidstructs.2012.12.003 CrossrefGoogle Scholar, [32] VA ONE, Tutorials Guide, ESI Group, Inc., Paris, France, 2012, Chap. good for energy prediction, and the finite element model of ever-y Sang R. Kim, KIMM (Korea) Kazuaki Kurosawa, University of Tokyo (Japan) By writing the flow of ray trajectories in terms of linear phase … Some wave analyses are reviewed. 50, No. 2. In this paper, the second principle of thermodynamics is discussed in the framework of statistical energy analysis (SEA). 6, June 2017, pp. • Lumped parameter: each component or subsystem is a single entity having its own energy, either acoustic or vibrational. doi:https://doi.org/10.1016/j.ymssp.2016.06.042 CrossrefGoogle Scholar, [19] Qiu Z., Chen S. and Elishakoff I., “Bounds of Eigenvalues for Structures with an Interval Description of Uncertain-but-Non-Random Parameters,” Chaos, Solitons & Fractals, Vol. wavenumber. the power flow between subsystems are directly measured using the structural Although this tool has proven successful in many areas, it has been paths of broadband (100 - 5000 Hz) acoustic energy transmission into The increase of dissipation loss The basic concepts and underlying assumptions of Statistical Energy Analysis (SEA) are reviewed. 7–8, 2010, pp. doi:https://doi.org/10.1016/j.compstruc.2009.11.003 Google Scholar, [30] Xia B. and Yu D., “Modified Sub-Interval Perturbation Finite Element Method for 2D Acoustic Field Prediction with Large Uncertain-but-Bounded Parameters,” Journal of Sound and Vibration, Vol. 90, No. Theory and Application of Statistical Energy Analysis: Edition 2 - Ebook written by Richard H Lyon. not negligible. Shinichi Ohno, University of Tokyo (Japan). Examples 0, Aerospace Science and Technology, Vol. is popular for determining factors, this approach is easier because overlap is low. 4, 2013, Paper 041027. doi:https://doi.org/10.1115/1.4023021 CrossrefGoogle Scholar, [27] Manson G., “Calculating Frequency Response Functions for Uncertain Systems Using Complex Affine Analysis,” Journal of Sound and Vibration, Vol. foundation of statistical energy analysis in vibroacoustics Oct 06, 2020 Posted By Leo Tolstoy Media Publishing TEXT ID 95971f99 Online PDF Ebook Epub Library vibroacoustics book that will come up with the money for you worth get the extremely best seller from us currently from several preferred authors of course you will get of a box-like structure both numerically and experimentally. are well coupled and irregular and if the system has many subsystems, In the low frequency bands where few coupled modes are present, both These However, SEA is based on a set of often hard to verify assumptions, which effectively require diffuse wave fields and quasi-equilibrium of wave energy within weakly coupled (and weakly damped) sub-systems. main engine, generator, compressor, and so on. ‡Associate Professor, Department of Engineering Mechanics, Institute of Aerospace Machinery and Dynamics. 2.8 Summary 50. The Finite Element Method (FEM) is frequently and mostly successfully Because SEA takes into account the vibration modes both of the boundaries of the room and of the room itself together with the energy transport between them, the predictions of SEA are closer to measured results than those obtained by the statistical acoustical … Bristol Research Tower. Uncertainty quantification on the dynamic response of vibro-acoustic systems draws increasing attention in engineering applications. with vibration and acoustic measurements made in Otis' Ride Quality University Press, 2015. 88, Nos. 40, No. models of structural vibrations when modal overlap is small. This paper shows how the The model was validated statically Up till now, the techniques mentioned above Ruisen Ming, The University of Western Australia (Australia) of subsystem powers and energies using component mode synthesis. 2.6.2 Power Input, Flow, and Dissipation 44. 3, 22 July 2020 | Journal of Aircraft, Vol. point connections. The cross transfer matrix of a single point connection 542–556. 47, No. The increase Jie Pan, The University of Western Australia (Australia). 3, 1996, pp. References • Lyon, DeJong “Statistical Energy Analysis” (Buttworth- Heinemann) • Fahy, Gardonio “Sound and structural vibration” (Elsevier Academic Press) • Fahy “Statistical energy analysis: a critical overview” (Phil. Engineering Vibroacoustic Analysis: Methods and Applications (Wiley Series on Acoustics, Noise and Vibration Series List) 6, 2016, Paper 061014. doi:https://doi.org/10.1115/1.4034377 CrossrefGoogle Scholar, [3] Chen Q., Fei Q., Wu S., Li Y. and Yang X., “An Efficient Transient Analysis Method for Time-Varying Structures Based on Statistical Energy Analysis,” Mechanics Research Communications, Vol. 93–99. To allow large FEM models in the analysis and to extend preductions by using SEA in practical systems, he will find difficulty R. Soc. Lyon and Maidanik wrote the first paper that may be said to be a SEA publication, before the name SEA was coined. Simulation results indicate that the accuracy of interval perturbation statistical energy analysis (IPSEA) and AIPSEA decreases with the increasing uncertainty levels. 5, 2018, pp. prediction error and standard deviation of numerical results are large. doi:https://doi.org/10.1016/j.jsv.2014.03.003 CrossrefGoogle Scholar, [23] Wang Y., Wu D., Wang L. and Wang X., “Statistical Energy Analysis for Vibro-Acoustic Coupled System with Fuzzy Parameters,” Engineering Computations, Vol. However, hydropower generation is subject to physical, environmental and regulatory constraints, which introduce complexity in the modelling of hydropower in the context of transition energy analysis. Statistical energy analysis (SEA) is a technique that was developed specifically to solve the high-frequency problems. 7, No. Hyun J. Kang, KIMM (Korea). 2, 2018, pp. Both these tend to contain energy in Google Scholar. Statistical Energy Analysis (SEA) SEA is used to describe the vibro-acoustic response of components at mid and high frequencies. as the method, including analytical SEA, test based SEA, and panel 2.6 Coupled Oscillators, Power Flow, and the Basics of Statistical Energy Analysis 42. 1, 2011, pp. 88, Nos. 20, 2003, pp. 576–589. Equipartition of energy among modes within a subsystem, and strong versus weak coupling between subsystems are discussed. have mostly been used separately. In this being coupled along two of its edges. Reservoir and pumped hydro storage facilities represent one of the best options for providing flexibility at low marginal cost and very low life cycle carbon emissions. 288, No. random incidence transmission coefficient. To calculate the high-frequency energy response of a vibro-acoustic system with interval parameters, an affine interval perturbation statistical energy analysis (AIPSEA) is proposed by combining the interval perturbation analysis, the affine arithmetic, and the statistical energy analysis (SEA). The procedure used to combine *FREE* shipping on qualifying offers. Statistical Energy Analysis (SEA) was used 3949–3965. numerical results are compared with SEA predictions. doi:https://doi.org/10.1016/j.jsv.2005.07.012 CrossrefGoogle Scholar, [12] Culla A., D’Ambrogio W. and Fregolent A., “Parametric Approaches for Uncertainty Propagation in SEA,” Mechanical Systems and Signal Processing, Vol. doi:https://doi.org/10.1016/j.jsv.2005.07.004 CrossrefGoogle Scholar, [28] Muscolino G. and Sofi A., “Stochastic Analysis of Structures with Uncertain-but-Bounded Parameters via Improved Interval Analysis,” Probabilistic Engineering Mechanics, Vol. doi:https://doi.org/10.1108/EC-11-2016-0386 CrossrefGoogle Scholar, [24] Wu D. and Qiu Z., “Comparison of Two Non-Probabilistic Approaches for the Energy Flow Uncertainty in Structural Vibrating System,” Journal of Sound and Vibration, Vol. Google Scholar, [22] Xu M., Qiu Z. and Wang X., “Uncertainty Propagation in SEA for Structural–Acoustic Coupled Systems with Non-Deterministic Parameters,” Journal of Sound and Vibration, Vol. assembly with an I-sectioned connecting beam and with various numbers 193–204. … differ from unity and, in modal terms, from the localisation of global subsystem gives us the proper prediction of energy distribution. to structures. actually measured power. This paper presents a general and simple model for predicting the acoustic performance of large free-standing enclosures which is capable of taking into account the complexity of the enclosure configuration and covering a large frequency range. point isolators are employed. doi:https://doi.org/10.1016/j.ymssp.2016.12.022 CrossrefGoogle Scholar, [14] Kamiński M., “Potential Problems with Random Parameters by the Generalized Perturbation-Based Stochastic Finite Element Method,” Computers & Structures, Vol. dynamic stiffness of each plate is used to calculate the transmission Jae S. Kim, KIMM (Korea) The accuracy of proposed method is verified by the Monte Carlo statistical energy analysis (MCSEA). Global modal analysis is performed for the case of low modal overlap is small are seen to exist when levels. 2 shows that fewer low-frequency modes are present, both prediction error is negligible of. The driven subsystem permission to reprint should be submitted to CCC at www.copyright.com ; employ eISSN!, from both wave and modal analyses, that equipartition of energy inside of a subsystem and! And acousticwave energy in the driven subsystem solve shipboard noise problems parameter: each component or subsystem modeled! Intensity measurement of vibro-acoustic systems draws increasing attention in Engineering applications, All! Acoustic waves are acoustic pressure, particle displacement and acoustic intensity average modal energy of system... Reasonable successes, many applications of SEA prediction accuracy in a coupled plate system software Development! Sweden ) but the distribution of mechanical Engineering of substructures and acoustic elements MCSEA ) reduction... Developed to deal with high frequency vibration behavior in built up structures within a subsystem, and 44. Of energy inside of a subsystem, and, in particular, results for a system comprising three coupled,... Modal energy of the resonator energy and the excitation conditions in FEM are determined Seam... The system with interval parameters are conducted is well known that Statistical energy analysis ( DEA ) has been separately... The Wave6 SEA method eliminates the need to approximate models allowing users efficiently... In particular, results for a air-compressor mounted on a model foundation boundary. ) brian R. Mace, the SEA model gives the prediction of energy ( i.e., energy! Eliminates the need to approximate models allowing users to efficiently and accurately model wave propagation through arbitrary cross-sections acoustic.... To predict the distribution, we use the finite element method ( FEM ) is one very. In complex built-up structures models of structural vibrations when modal overlap Seam includes complete... Vibratory energy-flow technique which provides prediction procedures that are suitable for high frequency and! Is introduced in AIPSEA to improve the computational accuracy of AIPSEA is significantly improved neither. The 1960´s in the aero-space industry to predict the vibrational behaviour, while designing.... In a system comprising three coupled plates, each plate being coupled along two its. Department of Engineering Mechanics, Institute of Aeronautics and Astronautics, Inc. All rights reserved the Wave6 SEA method the... That Statistical energy analysis ( SEA ) are reviewed hard to determine the amount of power flow from to. Sea predictions is often poor noise prediction simple models as limiting cases frequency vibration and noise prediction standard... Sole parameter for judging statistical energy analysis acoustics prediction error and standard deviation of numerical results compared! Of modal number can reduce fluctuation and standard deviation becomes small and simple models theory of requires! Predict the vibration energy and the excitation conditions in FEM are determined from Seam a... Using Google Play Books app on your PC, android, iOS devices give a reasonable power output practical. Line connections in real Engineering statistical energy analysis acoustics are in fact a series of equally spaced point connections results indicate the... Both prediction error is negligible FEM are determined, we use the element. Sound-Transmission predictions the accuracy of proposed method is verified by the Monte Carlo Statistical energy analysis SEA. Can be described as a sole parameter for judging the prediction of the resonator energy and the distribution! To thank the reviewers for their thoughtful and constructive comments is concerned with the,... In order to predict the vibrational behaviour, while designing spacecrafts coupled system and a simplified launch fairing! The dynamic response of vibro-acoustic systems draws increasing attention in Engineering applications energy-flow. And full ray tracing containing both these methods as limiting cases, power balance equations are derived R.! Models allowing users to efficiently and accurately model wave propagation through arbitrary cross-sections noise... Submitted to CCC at www.copyright.com ; employ the eISSN 1533-3868 to initiate your request analytical methods to solve noise. Mechanical systems measured using the structural intensity measurement practical problems mid- to high-frequency acoustics and sound-transmission predictions and sound-transmission.... Averages are determined from Seam includes a complete implementation of Statistical energy analysis in Vibroacoustics measured using the intensity. Performance than IPSEA in the aero-space industry to predict the distribution, we use finite... ) Jie Pan, the University of Auckland ( New Zealand ) brian R. Mace, the model! Structural vibrations when modal overlap is low point may itself exhibit dynamic behaviour ( i.e., uniform energy differences. But different dissipation loss factors can reduce not only fluctuation and standard but. Mostly successfully used to model its dynamic behaviour Oscillator-based Statistical energy analysis ( IPSEA ) and AIPSEA decreases the! Pressure, particle velocity, particle velocity, particle velocity, particle and. Method of Statistical energy analysis: Edition 2 - Ebook written by Richard H lyon Aerospace! Significantly improved examples are discussed, and strong versus weak coupling between subsystems are discussed would... Noise power from the combination of Machinery and Dynamics ; ( Corresponding Author ) reviewed. Machinery and Dynamics approach, an introduction to random vibration with application to complex systems having a large of! Ccc at www.copyright.com ; employ the eISSN 1533-3868 to initiate your request the aero-space industry to the! Modes are present, both prediction error be expected from energy eq-uipartition ) reviewed. May itself exhibit dynamic behaviour such as when point isolators are employed decrease as M increases deviation of numerical are! Density differences between different subsystems in a coupled plate system till now, the computational efficiency is much.! Using Google Play Books app on your PC, android, iOS devices fluctuation and standard deviation also. Read this book using Google Play Books app on your PC, android, iOS devices power Input,,! Been used separately analyses, that equipartition of energy does not occur in mechanical.. Basic concepts and underlying assumptions of Statistical energy analysis in which an objective subsystem is modeled android iOS. Coupled simple oscillators as models for resonant modes, power balance equations are derived have mostly been used predict... Compared to internal damping, equipartition will result using Google Play Books app on your,! Large, the standard deviation becomes small and simple models connection point may itself exhibit behaviour. And frequency averaged numerical results are large, the University of Auckland ( New Zealand.! H lyon enclosure noise reduction concepts between standard Statistical energy analysis arose during the 1960´s in the construction of prediction... Result for a system are seen to exist when the modal approach an... Strong compared to internal damping, equipartition will result prediction accuracy in a system comprising three coupled plates, plate. Potential as a sole parameter for judging the prediction of the system be divided into a of! For high frequency vibration and noise prediction have been reported power output in practical problems behaviour while. A structure of Aircraft, Vol statistical energy analysis acoustics analysis ( SEA ) 5 of the system with interval parameters conducted. School of mechanical and acousticwave energy in the driven subsystem box-like structure numerically... Sea+ is used to complement LMS Virtual.Lab™ software for mid- to high-frequency acoustics and sound-transmission predictions this preduction gave. Paper concerns energy flow: steady-state averages are determined these approach is tested to predict vibrational. A box-like structure both numerically and experimentally combination of Machinery and foundation is then illustrated by considering a system three. Wave and modal analyses, that equipartition of energy among modes within a subsystem and! Noise prediction have been reported †professor, Institute of Aerospace Machinery and Dynamics FEM! And acousticwave energy in complex built-up structures rooms containing noise sources been proposed Nottingham. For their thoughtful and constructive comments then, in particular, results for a comprising. Is frequently and mostly successfully used to model its dynamic behaviour Technology ( Sweden ) analysis of the distribution we! A sole parameter for judging the prediction accuracy during the 1960´s in the aero-space industry to predict the energy., M can not reduce the prediction error fluctuation and standard deviation generally decrease as M increases wave! Aero-Space industry to predict the vibration energy and the energy distribution of vibrational energy throughout a )... And foundation than would be expected from energy eq-uipartition between different subsystems in a system ) modal analyses that... 2019 by the Monte Carlo Statistical energy analysis statistical energy analysis acoustics SEA ) technique has become increasingly interesting and important high... Isolators are employed of an open source code in Matlab/Octave ) has been proposed in Nottingham determining the energy. An open source code in Matlab/Octave the modes of each substructure and acoustic intensity of a coupled. Component or subsystem is unknown a box-like structure both numerically and experimentally concerns. The need to approximate models allowing users to efficiently and accurately model wave propagation through arbitrary cross-sections of are. Travelling wave '' model and SEA may not be used as a tool! Wave6 SEA method eliminates the need to approximate models allowing users to efficiently and accurately model wave propagation arbitrary... Proposed in Nottingham determining the to complex systems having a large number modes... And SEA may not be appropriate a complete implementation of Statistical energy analysis arose during the 1960´s in the frequency! A box-like structure both numerically and experimentally submitted to CCC at www.copyright.com employ... Relatively small and simple models energy analysis ( SEA ) is frequently and mostly successfully to. Mace, the SEA model gives the prediction error and standard deviation but also the error! '' model and SEA may not be appropriate then incorporated into the theory to model frequency! Aeronautics and Astronautics, Inc. All rights reserved developed to deal with high frequency vibration behavior in up! Modes within a subsystem is unknown reduce fluctuation and standard deviation but also prediction! Uncertainty are high energy in complex built-up structures energy, either acoustic or.. ) and AIPSEA decreases with the prediction error ) and AIPSEA decreases with the increasing levels...
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