Statistical Energy Analysis of Vibrating Systems

1967 ◽  
Vol 89 (4) ◽  
pp. 626-632 ◽  
Author(s):  
Eric E. Ungar
Keyword(s):  
Complex Systems ◽  
Energy Analysis ◽  
Energy Approach ◽  
Analysis Approach ◽  
Statistical Energy Analysis ◽  
Random Vibrations ◽  
Vibration Problems ◽  
Energy Balances ◽  
Vibrating Systems

The “statistical energy analysis” approach provides a relatively simple means for understanding and estimating the significant properties of multimodal random vibrations of complex systems, since this approach permits one to treat complex vibration problems in terms of much simpler energy balances. This paper delineates the concepts and relations which form the basis for the statistical energy approach, indicates its range of validity, and illustrates some of its applications.

Power Flow and Energy Sharing between an Oscillator and a Continuous Receiver Structure

2011 ◽  
Vol 189-193 ◽  
pp. 1914-1917
Author(s):  
Lin Ji
Keyword(s):  
High Frequency ◽  
Power Flow ◽  
Energy Analysis ◽  
Statistical Energy Analysis ◽  
Coupled Subsystems ◽  
Modal Density ◽  
Vibration Problems ◽  
Energy Sharing ◽  
High Modal Density ◽  
Vibration Modeling

A key assumption of conventional Statistical Energy Analysis (SEA) theory is that, for two coupled subsystems, the transmitted power from one to another is proportional to the energy differences between the mode pairs of the two subsystems. Previous research has shown that such an assumption remains valid if each individual subsystem is of high modal density. This thus limits the successful applications of SEA theory mostly to the regime of high frequency vibration modeling. This paper argues that, under certain coupling conditions, conventional SEA can be extended to solve the mid-frequency vibration problems where systems may consist of both mode-dense and mode-spare subsystems, e.g. ribbed-plates.

Different Definitions of Entropy for Statistical Energy Analysis

2018 ◽  
Author(s):  
Zahra Sotoudeh
Keyword(s):  
Statistical Mechanics ◽  
Energy Analysis ◽  
Statistical Treatment ◽  
Statistical Energy Analysis ◽  
Vibrating Structures ◽  
Thermodynamic Framework ◽  
Vibrating Systems

This paper explores several definitions of entropy that stem from the fields of statistical mechanics and thermodynamics for vibrating structures. This paper shows that these definitions are equivalent in the context of mechanically vibrating systems. However, one is more suitable for statistical energy analysis. This work is motivated by the usefulness of the entropy concept towards developing a framework for the statistical treatment of vibroacoustic systems. Specifically, entropy provides a thermodynamic framework to justify the methodology of statistical energy analysis.

scholarly journals An approach to the statistical energy analysis of complex systems

1983 ◽  
Vol 74 (S1) ◽  
pp. S68-S69
Author(s):  
Richard G. DeJong
Keyword(s):  
Complex Systems ◽  
Energy Analysis ◽  
Statistical Energy Analysis

scholarly journals A hybrid finite element – statistical energy analysis approach to robust sound transmission modeling

2014 ◽  
Vol 333 (19) ◽  
pp. 4621-4636 ◽  
Author(s):  
Edwin Reynders ◽  
Robin S. Langley ◽  
Arne Dijckmans ◽  
Gerrit Vermeir
Keyword(s):  
Finite Element ◽  
Energy Analysis ◽  
Sound Transmission ◽  
Analysis Approach ◽  
Statistical Energy Analysis ◽  
Hybrid Finite Element ◽  
Transmission Modeling

A modal impedance-based statistical energy analysis for vibro-acoustic analysis of complex systems having structural uncertainty

2018 ◽  
Vol 233 (6) ◽  
pp. 1972-1989
Author(s):  
Abdullah Seçgin ◽  
Murat Kara ◽  
Altay Ozankan
Keyword(s):  
Complex Systems ◽  
High Frequency ◽  
Energy Analysis ◽  
Acoustic Analysis ◽  
Composite Plates ◽  
Structural Uncertainty ◽  
Statistical Energy Analysis ◽  
Complex Structural ◽  
Point Line ◽  
Dimension Reducing

A modal impedance-based statistical energy analysis for point, line, and area connected complex structural-acoustic systems is introduced. The proposed methodology is applied to perform mid- and high-frequency vibro-acoustic analysis of a cabinet model. The cabinet is composed of several composite plates with local mass variability simulating structural uncertainty, isotropic beams, and an acoustic enclosure. The method uses point mobilities, which are determined using modal parameters obtained by finite element method, to define line and area mobilities via dimension reducing principle. The methodology presented here is successfully verified by several numerical and experimental Monte Carlo computations. With this study, conventional statistical energy analysis is improved for mid-frequency vibro-acoustic analysis of complex systems.

Variance of energy and energy density in statistical energy analysis of complex systems

2004 ◽  
Vol 116 (4) ◽  
pp. 2519-2519 ◽  
Author(s):  
Vincent Cotoni ◽  
Robin Langley
Keyword(s):  
Energy Density ◽  
Complex Systems ◽  
Energy Analysis ◽  
Statistical Energy Analysis

The Feasibility of Statistical Energy Analysis in the Modeling of Stringed Musical Instruments

2010 ◽  
Author(s):  
Hossein Mansour
Keyword(s):  
Finite Element ◽  
Structural Modification ◽  
Energy Analysis ◽  
Element Model ◽  
Musical Instruments ◽  
Statistical Energy Analysis ◽  
Reliable Model ◽  
Challenging Tasks ◽  
High Degree ◽  
Vibrating Systems

Stringed musical instruments are complex vibrating systems both from structural and fluid-structure coupling perspectives; hence, their modeling is one of the most challenging tasks in the area of vibration and acoustics. Making a reliable model not only broadens our knowledge of the physics of these instruments, but also it simplifies the procedure of structural modification and optimization on them. In this regard, a Finite Element Model has been previously made from Setar and is verified with the experimental results. Although that model could precisely simulate the instrument in lower frequencies (i.e. below 2.5 KHz), its results showed a weak correlation with reality in higher frequencies. In fact, unreliable results and high computational demand are common drawbacks of finite element method in higher frequencies. To avoid these problems, in this study Setar is modeled with Statistical Energy Analysis (SEA) approach. This method is more efficient in dealing with high degree of uncertainty in the system. SEA does this by averaging the response over the frequency and location to gain a more general and reliable result. Application of SEA in higher frequencies is, in fact, compatible with the nature of musical instruments where in higher frequencies we are mostly interested in the trend of the response rather than the location of each individual peak.

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