Mechanical Power Flow Between Stiffened Plates and Viscoelastic Discrete Systems

1986 ◽  
Vol 108 (2) ◽  
pp. 155-164 ◽  
Author(s):  
E. Goldfracht ◽  
G. Rosenhouse
Keyword(s):  
Power Flow ◽  
Energy Analysis ◽  
Power Transmission ◽  
Discrete Systems ◽  
Vibration Energy ◽  
Stiffened Plates ◽  
Statistical Energy Analysis ◽  
Frequency Range ◽  
Lower Frequency Range ◽  
Fundamental Theorems

In this paper we primarily discuss a theory of power transmission and vibration energy distribution of dynamically loaded structures. The loads are random and the system comprises linked elements, which consist of machine-supported stiffened plates. Fundamentally, the theory is deterministic, but in addition it uses some features of the SEA. In fact, the analysis is intended to verify fundamental theorems of the Statistical Energy Analysis in the lower frequency range.

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.

Vibration energy propagation analysis of shamisen by experiment statistical energy analysis

2017 ◽  
Vol 2017 (0) ◽  
pp. 403
Author(s):  
Yuta SUZUKI ◽  
Masaya MATSUNAGA ◽  
Hiroki NAKAMURA ◽  
Yoshiaki ITOH ◽  
Toshimitsu TANAKA ◽  
...  
Keyword(s):  
Energy Analysis ◽  
Vibration Energy ◽  
Statistical Energy Analysis ◽  
Energy Propagation ◽  
Propagation Analysis

Prediction on Coincidence Effect of Sound Insulation of a Wall

2011 ◽  
Vol 99-100 ◽  
pp. 354-357
Author(s):  
Xian Feng Huang ◽  
Jun Liu ◽  
Yan Yang
Keyword(s):  
Building Materials ◽  
Energy Analysis ◽  
Sound Insulation ◽  
Light Weight ◽  
Statistical Energy Analysis ◽  
Frequency Range ◽  
Single Leaf ◽  
Comparison Results ◽  
Coincidence Effect ◽  
Sound Environment

Coincidence effect which occurs in a certain frequency range will impairs the sound insulation of walls. For the purpose to predict the phenomenon of coincidence effect that is unlikely predicted theoretically by the mass law, the Statistical Energy Analysis (SEA) theory are adopted in studying coincidence effect of sound insulation of the light weight single-leaf wall. The comparison among predicted by SEA, by mass law and measured was performed. Therefore, the comparison results show that sound insulation prediction by SEA is more precise and agrees with the measured date. Moreover, the coincidence effect and its effect on sound insulation were predicted by SEA. Eventually, it is likely to select appropriate building materials and configuration to achieve a better sound environment theoretically.

Statistical Energy Analysis for the Time-Integrated Transient Response of Vibrating Systems

1990 ◽  
Vol 112 (2) ◽  
pp. 206-213 ◽  
Author(s):  
M. L. Lai ◽  
A. Soom
Keyword(s):  
Steady State ◽  
Energy Balance ◽  
Transient Response ◽  
Power Flow ◽  
Energy Analysis ◽  
Statistical Energy Analysis ◽  
Balance Equations ◽  
Integrated Response ◽  
Energy Relations ◽  
Loss Factors

For more than twenty years, statistical energy analysis (SEA) has been used for the analysis of steady-state response distributions in complex coupled structures and sound-structure systems. However, the steady-state SEA formalism is not directly applicable to the analysis of transient vibrations. In this paper, energy relations, analogous to steady-state SEA power flow relations, are derived for the time-integrated transient response of each oscillator. These energy flow relations can be combined using statistical concepts, to obtain a set of energy balance equations for N coupled multimodal subsystems. It is shown that the time-integrated response of each subsystem can be described in terms of transient input energies and conventional SEA parameters, i.e., modal densities, loss factors and coupling loss factors. By solving the energy balance equations, the time-integrated response of each subsystem can be obtained. The results of experiments, conducted on a coupled structure consisting of two welded plates, are presented to illustrate the applicability of these relations.

scholarly journals Study of vibration propagation in periodic rib-stiffened plates using advanced statistical energy analysis

2015 ◽  
Vol 64 (13) ◽  
pp. 134301
Author(s):  
Yin Jian-Fei ◽  
Wen Ji-Hong ◽  
Xiao Yong ◽  
Wen Xi-Sen
Keyword(s):  
Energy Analysis ◽  
Stiffened Plates ◽  
Statistical Energy Analysis

Effect of junction type on the vibroacoustic response of a system of plates

2021 ◽  
Vol 263 (2) ◽  
pp. 3953-3962
Author(s):  
Marcell Treszkai ◽  
Daniel Feszty
Keyword(s):  
Experimental Data ◽  
Energy Analysis ◽  
Steel Plates ◽  
Statistical Energy Analysis ◽  
Coupling Loss ◽  
Frequency Range ◽  
Reference Case ◽  
Power Injection ◽  
Challenging Tasks ◽  
Junction Type

Modelling of junctions is one of the most challenging tasks in vibroacoustics, especially for Statistical Energy Analysis (SEA), where the results heavily depend on the damping (DLF) and coupling loss factors (CLF). Also, it is an interesting question to determine that to what extent does the DLF or CLF contribute to the overall vibroacoustic characteristics of a structure? The aim of this paper is to investigate via measurements and SEA simulations the effect of the ratio of DLF and CLF on the response of a system for various junctions, such as riveting, bolting, line and point welding, between two steel plates. Loss matrices are determined experimentally by the Power Injection Method in the 200-1600 Hz frequency range. The simulation was performed in the ESI VA One software by using its analytical CLF formulations and compared to experimental data. For the reference case, a bended plate structure was considered, representing an ideal junction between two subsystems. This was equipped with damping foils to ensure the same weight and then compared to the results from other joints. Results showed that increasing the CLF could be more effective than focusing on increasing the DLF.

Prediction of insertion loss of lagging in rectangular duct using statistical energy analysis

2019 ◽  
Vol 67 (6) ◽  
pp. 438-446
Author(s):  
M. Yoganandh ◽  
Jade Nagaraja ◽  
B. Venkatesham
Keyword(s):  
Insertion Loss ◽  
Power Flow ◽  
Energy Analysis ◽  
Transmission Loss ◽  
Flow Analysis ◽  
Computational Cost ◽  
Statistical Energy Analysis ◽  
Rectangular Duct ◽  
Modal Density ◽  
Element Method

In this article, statistical energy analysis (SEA) is used to predict insertion loss from a lagged rectangular HVAC duct. For a lagged duct, all duct walls are treated from outside with acoustic material. Although deterministic methods like the finite element method (FEM), boundary element method (BEM), and wave based methods can predict the breakout noise, these methods have limitations in handling systems with high modal density due to higher computational cost. In this study, a rectangular duct is divided into six subsystems, which are four duct walls (each wall considered as a subsystem), internal air cavity and external airspace. Power flow analysis is performed on all subsystems to calculate transverse transmission loss of an unlined duct and insertion loss for a lagged duct. Predicted transverse transmission loss values are validated with ASHRAE data and Insertion loss values with literature. The results obtained are in good agreement.

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