scholarly journals Validity Investigation of Random Energy Flow Analysis for Beam Structures

2011 ◽  
Vol 18 (1-2) ◽  
pp. 269-280 ◽  
Author(s):  
Jin You ◽  
Hong-Guang Li ◽  
Guang Meng
Keyword(s):  
Energy Density ◽  
Energy Flow ◽  
Flow Analysis ◽  
Approximate Solutions ◽  
Wide Frequency Range ◽  
Exact Methods ◽  
Beam Structures ◽  
Energy Density Distribution ◽  
Energy Flow Analysis ◽  
Random Energy

The validity of the application of energy flow analysis for beam structures under random excitations is investigated in this paper. The approximate solutions of energy density and intensity in a beam subject to random loadings are obtained by solving the governing equation of random energy flow analysis using Fourier transform technique. The formulations of the exact energy density distribution and intensity in the beam are derived using the classical modal analysis method. For a simply supported beam subject to distributed or concentrated random excitations, the validity of random energy flow analysis is investigated through comparisons between solutions obtained from the approximate and exact methods for energy response as well as intensity. The results indicate that, the mode count of the analysis frequency band, which means the number of modes involved in the band, is the key factor affecting the prediction accuracy of random energy flow analysis, and that if the mode count of the band is sufficiently large, random energy flow analysis can provide rather accurate estimates for both energy density and intensity in a wide frequency range.

scholarly journals Vibrational Energy Flow Model for a High Damping Beam with Constant Axial Force

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Xiaoyan Teng ◽  
Nan Liu ◽  
Jiang Xudong
Keyword(s):  
Energy Density ◽  
Axial Force ◽  
Energy Flow ◽  
Loss Factor ◽  
Vibrational Energy ◽  
Flow Analysis ◽  
Structural Damping ◽  
Energy Density Distribution ◽  
Damping Loss Factor ◽  
The Relationship

The energy flow analysis (EFA) method is developed to predict the energy density of a high damping beam with constant axial force in the high-frequency range. The energy density and intensity of the beam are associated with high structural damping loss factor and axial force and introduced to derive the energy transmission equation. For high damping situation, the energy loss equation is derived by considering the relationship between potential energy and total energy. Then, the energy density governing equation is obtained. Finally, the feasibility of the EFA approach is validated by comparing the EFA results with the modal solutions for various frequencies and structural damping loss factors. The effects of structural damping loss factor and axial force on the energy density distribution are also discussed in detail.

scholarly journals Vibrational Energy Flow Analysis of Corrected Flexural Waves in Timoshenko Beam – Part II: Application to Coupled Timoshenko Beams

2006 ◽  
Vol 13 (3) ◽  
pp. 167-196 ◽  
Author(s):  
Young-Ho Park ◽  
Suk-Yoon Hong
Keyword(s):  
Timoshenko Beam ◽  
Energy Flow ◽  
Vibrational Energy ◽  
Flow Analysis ◽  
Companion Paper ◽  
Wave Transmission ◽  
Classical Solutions ◽  
Flexural Waves ◽  
Beam Structures ◽  
Energy Flow Analysis

This paper presents the methodology for the energy flow analysis of coupled Timoshenko beam structures and various numerical applications to verify the developed methodology. To extend the application of the energy flow model for corrected flexural waves in the Timoshenko beam, which is developed in the other companion paper, to coupled structures, the wave transmission analyses of general coupled Timoshenko beam systems are performed. First, power transmission and reflection coefficients for all kinds of propagating waves in the general, coupled Timoshenko beam structures are derived by the wave transmission approach. In numerical applications, the energy flow solutions using the derived coefficients agree well with the classical solutions for various exciting frequencies, damping loss factors, and coupled Timoshenko beam structures. Additionally, the numerical results for the Timoshenko beam are compared with those for the Euler-Bernoulli beam.

scholarly journals Energy Flow Analysis of One-Dimensional Structures with Random Properties

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Kun Wang ◽  
Yu Fu ◽  
Jiafu Liu ◽  
Qi Zhang
Keyword(s):  
Energy Density ◽  
Numerical Simulations ◽  
Energy Flow ◽  
Vibration Analysis ◽  
Flow Analysis ◽  
New Approach ◽  
One Dimensional ◽  
Random Energy ◽  
Uncertainty Parameters ◽  
Random Responses

In this work, the energy density responses of one-dimensional structures with random properties are investigated analytically. Based on Green kernels, analytical representations of energy density for vibrating rods and beams are proposed using the superposition of energy waves. Considering random properties in rods and beams, formulations of energy density responses are obtained. Then, the mathematical expectations and variances are derived. And response intervals for random responses are developed. Finally, numerical simulations are performed to validate the proposed formulations, and characteristics of the random energy density responses of rods and beams are analysed. The main contribution of this work is that a new approach to energy density responses is proposed which facilitates the vibration analysis of structures with uncertainty parameters.

Energy flow analysis of straw-return agricultural modes in the Central Shaanxi Plain

2013 ◽  
Vol 20 (10) ◽  
pp. 1388-1393
Author(s):  
Bi JIANG ◽  
Fa-Qi WU ◽  
Xi-Hui WU ◽  
Ming LI ◽  
Xiao-Gang TONG
Keyword(s):  
Energy Flow ◽  
Flow Analysis ◽  
Energy Flow Analysis ◽  
Straw Return

Optimization-aided material and energy flow analysis for a low carbon industry

2017 ◽  
Vol 167 ◽  
pp. 1148-1154 ◽  
Author(s):  
Hendrik Lambrecht ◽  
Heidi Hottenroth ◽  
Tobias Schröer ◽  
Frank Schulenburg
Keyword(s):  
Energy Flow ◽  
Flow Analysis ◽  
Low Carbon ◽  
Energy Flow Analysis
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