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.

Statistical Energy Analysis of Wind Noise in High-Speed Train Cab

2012 ◽  
Vol 249-250 ◽  
pp. 307-313 ◽  
Author(s):  
Xiao Yan Yang ◽  
You Gang Xiao ◽  
Yu Shi
Keyword(s):  
High Speed ◽  
Power Flow ◽  
Energy Analysis ◽  
Simulation Method ◽  
Statistical Energy Analysis ◽  
High Speed Train ◽  
Wind Noise ◽  
Modal Density ◽  
Head Surface ◽  
Loss Factors

Statistical energy analysis(SEA) method has many advantages in analysis of high frequency, high modal density and complex dynamic systems. Dividing high-speed train cab into a series of sub-systems, the SEA model of high-speed train cab was established. The factors affecting the cab noise, such as modal density, damping loss factors, coupling loss factors, were gotten by theoretical analysis combined with experiments. Using large eddy simulation method, the fluctuation pressures from train head surface were calculated. Using fluctuation pressure as excitation source, wind noise spectra and power flow of sub-systems in cab were obtained, which provided the basis for the control of high-speed train cab noise.

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.

Statistical Energy Analysis on Vibrational Energy Transmission in Hard Disk Drive Components

2013 ◽  
Author(s):  
Nopdanai Ajavakom ◽  
Pinporn Tanthanasirikul
Keyword(s):  
Energy Analysis ◽  
Vibrational Energy ◽  
Hard Disk Drives ◽  
Hard Disk ◽  
Disk Drive ◽  
Statistical Energy Analysis ◽  
Energy Transmission ◽  
Vibration Tests ◽  
Main Components ◽  
Loss Factors

One of the problems found in the 2.5-inch hard disk drives (HDD) in operation is its vibration. Aiming to find important information to help reduce the vibration transmitted to the outer shell of HDD, the parameters involving vibrational energy transmission among the main components of HDD are identified by the test-based Statistical Energy Analysis (SEA). First, the vibration tests of HDD in the idle mode are performed in order to identify the contribution of the main components; the platters and the top cover, to the overall vibration of HDD. Second, the SEA parameters including the dissipation loss factors of the components and coupling loss factors of the pairs of the components are then experimentally determined in order to calculate the vibration transmission power among the components.

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.

Formulation of SEA parameters using mobility functions

1994 ◽  
Vol 346 (1681) ◽  
pp. 477-488 ◽  
Keyword(s):  
Dynamic Systems ◽  
Energy Analysis ◽  
Statistical Energy Analysis ◽  
Coupling Loss ◽  
Coupled Subsystems ◽  
Power Inputs ◽  
Complex Structural ◽  
General Mobility ◽  
Power And Energy ◽  
Loss Factors

Statistical energy analysis SEA formulates the dynamic response of a system in terms of power and energy variables. The SEA parameters include power inputs; damping loss factors; which control the power dissipated within the system; and coupling loss factors, which control the power transmitted between coupled subsystems. One of the great difficulties in using SEA is the calculation of these parameters. In this paper sea parameters are formulated using general mobility functions. Simplifications that result from averaging the parameters either over frequency or over an ensemble of dynamic systems are presented. These simplifications make it possible to apply SEA to very complex structural-acoustic systems.

scholarly journals Informativity of the Vibration Signal of the Spindle Unit of the Metal Cutting Machine

2021 ◽  
Vol 346 ◽  
pp. 03043
Author(s):  
Alexander Denisenko ◽  
Viktor Mikhailov
Keyword(s):  
Energy Balance ◽  
Power Flow ◽  
Metal Cutting ◽  
Early Stage ◽  
Vibration Signal ◽  
Balance Equations ◽  
Vibration Field ◽  
Spindle Unit ◽  
Urgent Task ◽  
Vibration Power Flow

Monitoring the condition of the spindle units of modern metal-cutting machines by methods of non-selective diagnostics involves the possibility of installing monitoring sensors in places with maximum vibration information. In this regard, the assessment of the informative value of the vibration field of the spindle unit, which can be carried out in advance, taking into account the design features, geometric and dimensional characteristics, is an urgent task. Based on the energy approach, a computational model based on the median planes of the walls is proposed using the example of a universal lathe spindle unit. On the basis of the calculated model, the energy balance equations are drawn up taking into account the conditions for the transmission of vibration power between the walls of the housing. The dependences that allow us to calculate the coefficients that take into account the absorption of vibration energy by the walls of the housing are given. The solution of the energy balance equations made it possible, based on the level of the vibration power flow, to rank the walls of the spindle unit body by information content,. The resulting model of the vibration field can be used to determine the reference values of vibration velocities that are formed from sources in the absence of defects. This will allow for non-selective diagnostics to detect the occurrence of a defect at an early stage, and in the presence of a defect to assess the level of its development.

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