Approximate Nonstationary Random Vibration Analysis for MDOF Systems

1988 ◽  
Vol 55 (1) ◽  
pp. 197-200 ◽  
Author(s):  
C. G. Bucher
Keyword(s):  
Exact Solutions ◽  
Approximate Method ◽  
Vibration Analysis ◽  
Random Vibration ◽  
Computer Time ◽  
Additional Benefit ◽  
Mdof Systems ◽  
Order Of Magnitude ◽  
Random Vibration Analysis ◽  
Good Agreement

An approximate method for nonstationary random vibration analysis is presented. This method utilizes properties of the stationary solution for simplifying the analysis. This approach has previously been applied by the author to linear and nonlinearly damped SDOF systems. In the present paper the concept is extended to linear MDOF systems and applied to nonstationary earthquake-type loading. Comparisons with available exact solutions show very good agreement in numerical results with the additional benefit of reducing computer time by more than one order of magnitude.

Exact Solutions of Fully Nonstationary Random Vibration for Rectangular Kirchhoff Plates Using Discrete Analytical Method

2017 ◽  
Vol 17 (10) ◽  
pp. 1750126 ◽  
Author(s):  
Dixiong Yang ◽  
Guohai Chen ◽  
Jilei Zhou
Keyword(s):  
Exact Solutions ◽  
Analytical Method ◽  
Vibration Analysis ◽  
Random Vibration ◽  
High Efficiency ◽  
Noise Model ◽  
Thin Plates ◽  
Precise Integration ◽  
Kirchhoff Plates ◽  
Random Vibration Analysis

This paper proposes the discrete analytical method (DAM) to determine exactly and efficiently the fully nonstationary random responses of rectangular Kirchhoff plates under temporally and spectrally nonstationary acceleration excitation of earthquake ground motions. First, the fully nonstationary power spectral density (PSD) model is suggested by replacing the filtered frequency and damping of Gaussian filtered white-noise model with the time-variant ones. The exact solutions of free vibration of thin plates with two opposite edges simply supported boundary conditions are introduced. Then, the full analytical procedure for random vibration analysis of the plate is established by using a pseudo excitation method (PEM) that can consider all modal auto-correlation and cross-correlation terms. Owing to involving a series of Duhamel time integrals of single degree of freedom systems, it is difficult to fully analytically evaluate the PSD of time-variant responses such as the transverse deflection, velocity, acceleration and stress components. Thus, DAM that combines the PEM with precise integration technique is developed to enhance the computational efficiency. Finally, comparison of the results by the DAM with Monte Carlo simulations and the analytical stationary random vibration analysis demonstrates the high efficiency and accuracy of DAM. Moreover, the fully nonstationary excitation imposes a remarkable effect on the response PSD of rectangular Kirchhoff plates.

Random Vibration Analysis of the Underframe Structure on a High-Speed Train

ICTE 2015 ◽  
2015 ◽  
Author(s):  
Hanfei Guo ◽  
Xiaoxue Liu ◽  
Wei Tong ◽  
Youwei Zhang ◽  
Yanlei Zhang
Keyword(s):  
Vibration Analysis ◽  
High Speed ◽  
Random Vibration ◽  
High Speed Train ◽  
Random Vibration Analysis

Non-stationary random vibration analysis of structures under multiple correlated normal random excitations

2017 ◽  
Vol 400 ◽  
pp. 481-507 ◽  
Author(s):  
Yanbin Li ◽  
Sameer B. Mulani ◽  
Rakesh K. Kapania ◽  
Qingguo Fei ◽  
Shaoqing Wu
Keyword(s):  
Vibration Analysis ◽  
Random Vibration ◽  
Random Vibration Analysis

Modeling and Analysis of Flow-Induced Vibrations in Circular Saws

1985 ◽  
Vol 107 (2) ◽  
pp. 196-202
Author(s):  
M. C. Leu ◽  
M. Jirapongphan
Keyword(s):  
Vibration Analysis ◽  
Random Vibration ◽  
Pressure Fluctuations ◽  
Time Function ◽  
Resonant Vibration ◽  
Modeling And Analysis ◽  
Flow Induced Vibrations ◽  
Flow Pressure ◽  
Circular Saws ◽  
Random Vibration Analysis

Two types of flow-induced vibrations in idling circular saws, random vibration and resonant vibration, were modeled and analyzed. The excitation source, which is the flow pressure fluctuations, was modeled as discrete forces acting at the saw teeth. The response was assumed to be uncoupled from the excitation in the random vibration analysis but coupled with the excitation in the resonant vibration analysis. The random vibration was solved in terms of statistical rms amplitudes and the resonant vibration as a time function. The analytical results captured many characteristics of vibration phenomena observed in idling saw experiments.

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