Random vibration analysis of structures by a time-domain explicit formulation method

2014 ◽  
Vol 52 (2) ◽  
pp. 239-260 ◽  
Author(s):  
Cheng Su ◽  
Rui Xu
2020 ◽  
Vol 8 (12) ◽  
pp. 1001
Author(s):  
Wei Lin ◽  
Cheng Su ◽  
Youhong Tang

This paper is devoted to the random vibration analysis of jacket platforms under wave loads using the explicit time-domain approach. The Morison equation is first used to obtain the nonlinear random wave loads, which are discretized into random loading vectors at a series of time instants. The Newmark-β integration scheme is then employed to construct the explicit expressions for dynamic responses of jacket platforms in terms of the random vectors at different time instants. On this basis, Monte Carlo simulation can further be conducted at high efficiency, which not only provides the statistical moments of the random responses, but also gives the mean peak values of responses. Compared with the traditional power spectrum method, nonlinear wave loads can be readily taken into consideration in the present approach rather than using the equivalent linearized Morison equation. Compared with the traditional Monte Carlo simulation, the response statistics can be obtained through the direct use of the explicit expressions of dynamic responses rather than repeatedly solving the equation of motion. An engineering example is analyzed to illustrate the accuracy and efficiency of the present approach.


ICTE 2015 ◽  
2015 ◽  
Author(s):  
Hanfei Guo ◽  
Xiaoxue Liu ◽  
Wei Tong ◽  
Youwei Zhang ◽  
Yanlei Zhang

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

1985 ◽  
Vol 107 (2) ◽  
pp. 196-202
Author(s):  
M. C. Leu ◽  
M. Jirapongphan

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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