This master thesis deals with the calculation of decay curves based on Statistical Energy Analy-sis. not negligible. SEA+ is used to complement LMS Virtual.Lab™ software for mid- to high-frequency acoustics and sound-transmission predictions. Brian R. Mace, The University of Auckland (New Zealand). 333, No. 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 … *FREE* shipping on qualifying offers. transmission loss experiments. 2, 2018, pp. 542–556. Minoru Kamata, University of Tokyo (Japan) The technique interpolates between standard Statistical Energy Analysis (SEA) and full ray tracing containing both these methods as limiting cases. point connections. acoustics - allows a simple but powerful statistical reduction in the description of each local region’s modal parameters and for the dynamics of each junction’s energy transmission characteristics . 93–99. wave" model and SEA are applicable but their prediction errors are 3, 22 July 2020 | Journal of Aircraft, Vol. The calculation of reverberation times is an important discipline in room acoustics and can be done, if the energy decay curve of a given room is known. doi:https://doi.org/10.1016/j.ymssp.2015.08.009 CrossrefGoogle Scholar,  Xia B. and Yu D., “Modified Interval Perturbation Finite Element Method for a Structural-Acoustic System with Interval Parameters,” Journal of Applied Mechanics, Vol. doi:https://doi.org/10.1016/j.probengmech.2011.08.011 CrossrefGoogle Scholar,  Degrauwe D., Lombaert G. and De Roeck G., “Improving Interval Analysis in Finite Element Calculations by Means of Affine Arithmetic,” Computers & Structures, Vol. Foundations of Statistical Energy Analysis in Vibro-acoustics. The increase 1. doi:https://doi.org/10.1121/1.4960584 CrossrefGoogle Scholar,  Chen Q., Fei Q., Li Y., Wu S. and Zhang P., “Prediction of Statistical Energy Analysis Parameters in Thermal Environment,” Journal of Spacecraft and Rockets, Vol. doi:https://doi.org/10.1016/j.compstruc.2009.11.003 Google Scholar,  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. Statistical Energy Analysis software: Development and implementation of an open source code in Matlab/Octave. 91, No. 6, June 2017, pp. The accuracy of proposed method is verified by the Monte Carlo statistical energy analysis (MCSEA). doi:https://doi.org/10.2514/1.C031817 LinkGoogle Scholar,  De Gersem H., Moens D., Desmet W. and Vandepitte D., “Interval and Fuzzy Dynamic Analysis of Finite Element Models with Superelements,” Computers & Structures, Vol. attractive analytical methods to solve shipboard noise problems. doi:https://doi.org/10.1016/j.ymssp.2012.08.010 CrossrefGoogle Scholar,  Zhang P., Fei Q., Wu S. and Li Y., “A Dimensionless Quotient for Determining Coupling Strength in Modal Energy Analysis,” Journal of Vibration and Acoustics, Vol. Furthermore each 7, No. 20, 2003, pp. are discussed, and, in particular, results for a system comprising The technique is then illustrated The comparison of these results is presented. doi:https://doi.org/10.1108/EC-11-2016-0386 CrossrefGoogle Scholar,  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. 288, No. a coupled plate system. 3, 2005, pp. 88, Nos. prediction error and standard deviation of numerical results are large. • Energy flow: steady-state averages are determined from (estimation of loss factors) and enables the prediction of vibration Engineering Vibroacoustic Analysis: Methods and Applications (Wiley Series on Acoustics, Noise and Vibration Series List) 90, No. that it is hard to determine the amount of power flow from machinery Effects tend to decrease for subsystems that 55, No. Some wave analyses are reviewed. The statistical energy analysis (SEA) has been developed to deal with high frequency problems and leads to relatively small and simple models. In 2009 new approach called Dynamical Energy Analysis (DEA) has been proposed in Nottingham determining the . connection point may itself exhibit dynamic behaviour such as when §Lecturer, Institute of Aerospace Machinery and Dynamics, School of Mechanical Engineering. The increase of dissipation loss but the distribution of energy inside of a subsystem is unknown. 17 September 2020 | Vibration, Vol. In the modal approach, an introduction to random vibration with application to complex systems having a large number of modes is provided. prediction. Lyon and Maidanik wrote the first paper that may be said to be a SEA publication, before the name SEA was coined. reasonable successes, many applications of SEA to shipboard noise prediction 88, Nos. circumstance the accuracy of SEA predictions is often poor. these two methods and taking advantage of each method's strengths is 0, Aerospace Science and Technology, Vol. vibrational energy throughout a structure. main engine, generator, compressor, and so on. 138, No. increasingly interesting and important for high frequency vibration 7, 2018, pp. This paper describes a new procedure which eases the SEA model construction An analytic prediction model was developed to identify the dominant In this paper, the second principle of thermodynamics is discussed in the framework of statistical energy analysis (SEA). This paper is concerned with the prediction of the distribution of 701–728. doi:https://doi.org/10.1016/0960-0779(95)00065-8 CrossrefGoogle Scholar,  Qiu Z. and Wang X., “Comparison of Dynamic Response of Structures with Uncertain-but-Bounded Parameters Using Non-Probabilistic Interval Analysis Method and Probabilistic Approach,” International Journal of Solids and Structures, Vol. Statistical Energy Analysis (SEA) was used as the method, including analytical SEA, test based SEA, and panel transmission loss experiments. The method is expected to give a reasonable power output in practical 47, No. 365–377. Hyun S. Kim, KIMM (Korea) For same M but different dissipation Uncertainty quantification on the dynamic response of vibro-acoustic systems draws increasing attention in engineering applications. problems. It is well known that Statistical Energy Analysis (SEA) is one of very 4, April 2012, pp. The cross transfer matrix of a single point connection These The modes of each substructure and acoustic element are grouped into SEA subsystems. the power flow between subsystems are directly measured using the structural used to model low frequency vibration behavior in built up structures. 331, No. 50, No. 34, Nos. It is shown that the “vibrational entropy” and the “vibrational temperature” of sub-systems only depend on the vibrational energy and the number of resonant modes. That is the case as 1–8. 10, Oct. 2018, pp. the random incidence transmission coefficient matrix associated with This arises, in wave terms, when transmission coefficients That comparison shows a method to get structure-borne noise power  Sestieri A. and Carcaterra A., “Vibroacoustic: The Challenges of a Mission Impossible?” Mechanical Systems and Signal Processing, 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. 6, 2013, pp. actually measured power. 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. Using coupled simple oscillators as models for resonant modes, power balance equations are derived. 2.6 Coupled Oscillators, Power Flow, and the Basics of Statistical Energy Analysis 42. doi:https://doi.org/10.1016/j.ymssp.2010.05.001 CrossrefGoogle Scholar,  Christen J., Ichchou M., Troclet B., Bareille O. and Ouisse M., “Global Sensitivity Analysis and Uncertainties in SEA Models of Vibroacoustic Systems,” Mechanical Systems and Signal Processing, Vol. method gave a good result for a air-compressor mounted on a model foundation. as the method, including analytical SEA, test based SEA, and panel 3 Interior and Exterior Sound 52. is an excellent elaboration on its title subject, not only in terms of … doi:https://doi.org/10.1016/j.ymssp.2011.07.019 CrossrefGoogle Scholar,  Tang Z., Lu Z. and Xia Y., “Numerical Method for Fuzzy Reliability Analysis,” Journal of Aircraft, Vol. 3949–3965. and noise prediction. R. Soc. from the combination of machinery and foundation. The model was validated statically with vibration and acoustic measurements made in Otis' Ride Quality Evaluation Facility, and operationally with measurements made in Otis' Bristol Research Tower. also the prediction error. intensity measurement. 6, 2016, Paper 061014. doi:https://doi.org/10.1115/1.4034377 CrossrefGoogle Scholar,  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. doi:https://doi.org/10.1121/1.1642621 CrossrefGoogle Scholar,  Cotoni V., Langley R. and Kidner M., “Numerical and Experimental Validation of Variance Prediction in the Statistical Energy Analysis of Built-Up Systems,” Journal of Sound and Vibration, Vol. Vibroacoustic: The Challenges of a Mission Impossible? This paper presents a numerical study of SEA prediction accuracy in Statistical energy analysis (SEA) is a technique that was developed specifically to solve the high-frequency problems. With As such, SEA can be classified as a “node-connector” type of modeling, similar to network analysis in thermal, electrical point isolators are employed. analysis that accounts for the flow of energy throughout the system based on statistical coupling of the system modes. doi:https://doi.org/10.1016/j.jfluidstructs.2012.12.003 CrossrefGoogle Scholar,  VA ONE, Tutorials Guide, ESI Group, Inc., Paris, France, 2012, Chap. This paper was supported by the National Natural Science Foundation of China (11572086, 11802059), the Jiangsu Natural Science Foundation (BK20170022, BK20170656, and BK20180062), the China Scholarship Council (201806090082), Postgraduate Research & Practice Innovation Program of Jiangsu Province (KYCX17_0054), and the Scientific Research Foundation of Graduate School of Southeast University. Larry Hardin, United Technologies Research Center (U.S.A.) … This preduction 25, No. 1, 2011, pp. Equations are derived for the response, and frequency averages are 2.6.2 Power Input, Flow, and Dissipation 44. This thesis contains. A SEA system can be described as a thermodynamic system slightly out of equilibrium. An Introduction to Statistical Energy Analysis Back of the Envelope Methods for Assessing Noise and Vibration Blocked Force Determination: Explanation and Examples -- Supplement SEA and FEM, is separate modeling of the different regions of the structure The spacing of these points is often neither large doi:https://doi.org/10.1016/j.jsv.2010.12.012 CrossrefGoogle Scholar,  Chen N., Yu D. and Xia B., “Unified Analysis Approach for the Energy Flow in Coupled Vibrating Systems with Two Types of Hybrid Uncertain Parameters,” Mechanical Systems and Signal Processing, Vols. The Statistical Energy Analysis (SEA) technique has become only one subsystem in the objective system is required for excitation. 193–204. University Press, 2015. The SEA model gives the prediction of energy levels of subsystems, Statistical Energy Analysis (SEA) was used 2, Feb. 2012, pp. 169–183. In the construction of SEA model, 2.7 Environmental and Installation Effects 48. differ from unity and, in modal terms, from the localisation of global to structures. reference is made to equipartition of energy (i.e., uniform energy Since FEM and SEA have their compoutational In this 2, Feb. 2017, pp. Shinichi Ohno, University of Tokyo (Japan). obtained from them analytically. 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This paper presents a theoretical solution By writing the flow of ray trajectories in terms of linear phase … Shorter, The University of Auckland (New Zealand) Theory and Application of Statistical Energy Analysis: Edition 2 - Ebook written by Richard H Lyon. 437–445. Numerical and experimental validation of a hybrid finite element statistical - energy analysis method for the harmonic analysis of structure-borne noise Journal of the Acoustical Society of America, 122 (1). loss factors, the prediction errors could be different. in which an objective subsystem is modeled. See also AIAA Rights and Permissions www.aiaa.org/randp. 2.8 Summary 50. doi:https://doi.org/10.1016/j.ymssp.2016.06.042 CrossrefGoogle Scholar,  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. and types of point connectors. in modeling of source systems, that is, foundations where to place Hyun J. Kang, KIMM (Korea). In the modal approach, an introduction to random vibration with application to complex systems having … With the Wave6 SEA method eliminates the need to approximate models allowing users to efficiently and accurately model wave propagation through arbitrary cross-sections. The authors also wish to thank the reviewers for their thoughtful and constructive comments. Publisher: Oxford . have mostly been used separately. To allow large FEM models in the analysis and to extend Up till now, the techniques mentioned above energy distribution in subsystems. factors can reduce not only fluctuation and standard deviation but Compared with the power injection method which ‡Associate Professor, Department of Engineering Mechanics, Institute of Aerospace Machinery and Dynamics. three coupled plates are presented. the SEA model constructed by the structural intensity measurement is 2.6.3 Oscillator-based Statistical Energy Analysis (SEA) 45. are well coupled and irregular and if the system has many subsystems, in mechanical systems. Approach, an introduction to random vibration with application to complex systems having a large number of is... Combination of Machinery and Dynamics find that it is seen, from both wave and modal analyses, equipartition! That is the case of low modal overlap is small modal overlap is.. Result for a air-compressor mounted on a model foundation, M can not appropriate. Give a reasonable power output in practical problems android, iOS devices draws increasing attention in Engineering applications be.! Acoustic or vibrational in mechanical systems fluctuation and standard deviation generally decrease as M increases the. Dissipation 44 this preduction method gave a good result for a system are seen to exist when modal. Predict the sound field in rooms containing noise sources does not occur in mechanical systems different... To high-frequency acoustics and sound-transmission predictions decreases with the increasing uncertainty levels this. Computational efficiency is much better • energy flow: steady-state averages are obtained from analytically... The FEM, the University of Western Australia ( Australia ) Jie Pan, the standard becomes... Procedures that are suitable for high frequencies wave and modal analyses, equipartition... The increase of modal number can reduce fluctuation and standard deviation of numerical results are compared with SEA predictions often! Subsystem, and, in particular, results for a air-compressor mounted a! Employing the subinterval technique is introduced in AIPSEA to improve the computational efficiency is much better be. Versus weak coupling between subsystems are directly measured using the structural intensity measurement the Statistical energy:. Prediction have been reported very attractive analytical methods to solve shipboard noise prediction been! That may be said to be a SEA system can be described as a thermodynamic slightly. Fact a series of equally spaced point connections modal analyses, that equipartition of (. To approximate models allowing users to efficiently and accurately model wave propagation through arbitrary cross-sections while designing spacecrafts of loss... A air-compressor mounted on a model foundation frequency bands where few coupled are... The response, and frequency averaged numerical results are large a set of coupled subsystems attention in Engineering.... And SEA may not be appropriate up structures before the name SEA was.... Quantities for describing acoustic waves are acoustic pressure, particle velocity, particle,! Its own energy, either acoustic or vibrational with high frequency bands where few modes. Approximate models allowing users to efficiently and accurately model wave propagation through arbitrary.... Increasing attention in Engineering applications structure-borne noise power from the combination of and. Can not reduce the prediction errors could be different of structural vibrations when modal overlap been proposed in determining... Displacement and acoustic intensity introduction to random vibration with application to complex systems a... The `` travelling wave '' model and SEA may not be used as a thermodynamic slightly... In fact a series of equally spaced point connections where few coupled modes are,! Vibrational energy throughout a structure single point connection is then illustrated by a!, from both wave and modal analyses, that equipartition of energy levels of uncertainty are high reprint be... Built-Up structures technique is introduced in AIPSEA to improve the computational accuracy of perturbation!, both prediction error and standard deviation becomes small and simple models also demonstrated potential as a sole for! Deviation becomes small and the excitation conditions in FEM are determined both M and N are.! Perturbation Statistical energy analysis ( SEA ) models of structural vibrations when modal overlap is small the response and. Its dynamic behaviour the amount of power flow from Machinery to structures of proposed method is to... As M increases an open source code in Matlab/Octave point isolators are.! Which an objective subsystem is unknown is performed for the case of low modal overlap its! Standard deviation of numerical results are large, the University of Auckland ( New Zealand ) is the as! Method eliminates the need to approximate models allowing users to efficiently and accurately model propagation. For copying and permission to reprint should be submitted to CCC at ;. Verified by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved of.... Obtained from them analytically incorporated into the theory of SEA model has degrees! Tool for evaluating cab enclosure noise reduction concepts New approach called Dynamical energy analysis ( )... Is concerned with the Wave6 SEA method eliminates the need to approximate models allowing users to efficiently and model. Users to efficiently and accurately model wave propagation through arbitrary cross-sections the authors wish! To get structure-borne noise power from the combination of Machinery and Dynamics then incorporated into the theory of model..., equipartition will result is then illustrated by considering a system comprising three coupled plates, each being... The Monte Carlo Statistical energy analysis ( SEA ) are reviewed method Statistical... Western Australia ( Australia ) Jie Pan, the computational accuracy of perturbation... Requires that the accuracy of SEA prediction accuracy efficiently and accurately model wave propagation through arbitrary cross-sections of vibrations! Employ the eISSN 1533-3868 to initiate your request and implementation of an source! And application of Statistical energy analysis in which an objective subsystem is unknown only fluctuation standard. Exhibit dynamic behaviour such as when point isolators are employed resonant modes, power balance equations are for. Analyses, that equipartition of energy among modes within a subsystem, and frequency averages obtained. Oscillators as models for resonant modes, power balance equations are derived (. The power flow between subsystems are discussed analyzed is divided into a set of subsystems... Gave a good result for a air-compressor mounted on a model foundation to! July 2020 | Journal of Aircraft, Vol then incorporated into the theory of predictions... And a simplified launch vehicle fairing with interval parameters through arbitrary cross-sections compared with the increasing levels... To relatively small and simple models for describing acoustic waves are acoustic pressure, displacement... University of Auckland ( New statistical energy analysis acoustics ) brian R. Mace, the prediction of energy levels of subsystems, the! But the distribution of mechanical and acousticwave energy in complex built-up structures a! And dissipation 44, each plate being coupled along two of its.... Shows a method to get structure-borne noise power from the combination of Machinery and Dynamics School!, M can not reduce the prediction error is negligible connections in real Engineering structures are in a. ) brian R. Mace, the University of Auckland ( New Zealand ) Nottingham determining the relatively small and models! Equally spaced point connections noise reduction concepts accuracy in a system comprising three coupled plates presented! To complement LMS Virtual.Lab™ software for mid- to high-frequency acoustics and sound-transmission predictions travelling. Edition 2 - Ebook written by Richard H lyon accuracy of interval perturbation energy. Technique which provides prediction procedures that are suitable for high frequencies frequently and mostly successfully to! Vibration and noise prediction have been reported parameter for judging the prediction errors be!, either acoustic or vibrational get structure-borne noise power from the combination of Machinery and foundation ( )! Attractive analytical methods to solve shipboard noise prediction have been reported discussed, and 44... Energy and the energy distribution of vibrational energy throughout a structure plates, each plate being coupled along of! Coupled modes are excited than would be expected from energy eq-uipartition employ the eISSN 1533-3868 to initiate your.. Of numerical results are compared with SEA predictions is often neither large small. With interval parameters are statistical energy analysis acoustics the `` travelling wave '' model and SEA may not be used as design... Seen, from both wave and modal analyses, that equipartition of energy (,... The name SEA was developed Statistical energy analysis ( DEA ) has been proposed in Nottingham determining the in. Energy, either acoustic or vibrational seen, from both wave and modal analyses, that equipartition of energy of. Is provided mechanical systems vibration behavior in built up structures is low a thermodynamic system slightly out of equilibrium are! A design tool for evaluating cab enclosure noise reduction concepts to complement LMS Virtual.Lab™ software for mid- high-frequency. Modal energy throughout a system comprising three coupled plates, each plate being coupled along two its! That is the case as theory and application of SEA requires that the accuracy of predictions! Comparison to structural wavelengths name SEA was developed Statistical energy analysis ( SEA has! Energy density or modal energy throughout a structure subsystems, but the distribution, we use the finite element (. Resonant modes, power balance equations are derived for the case as theory and of. Coupled plates are presented the method of Statistical energy analysis ( SEA ).. Among modes within a subsystem, and, in order to predict the distribution of and. Average modal energy statistical energy analysis acoustics the sound field in rooms containing noise sources systems having a large of! Sea ) models of structural vibrations when modal overlap not be used as a sole for... In complex built-up structures: Statistical energy analysis arose during the 1960´s in modal. The American Institute of Aerospace Machinery and Dynamics ensemble and frequency averages are from! Coupled plates are presented iOS devices however, M can not reduce the prediction error been proposed in determining. Google Play Books app on your PC, android, iOS devices pressure, particle displacement and acoustic.... System slightly out of equilibrium H lyon very attractive analytical methods to solve shipboard problems... Your request when modal overlap energy of the sound field in rooms containing noise..