Iterative solution for random vibration problems involving structure‐fluid interaction

1975 ◽  
Vol 58 (S1) ◽  
pp. S42-S42
Author(s):  
Y. K. Lin
Keyword(s):  
Random Vibration ◽  
Iterative Solution ◽  
Vibration Problems ◽  
Fluid Interaction

Numerical Solution of Some Three-State Random Vibration Problems

1995 ◽  
Author(s):  
S. F. Wojtkiewicz ◽  
L. A. Bergman ◽  
B. F. Spencer
Keyword(s):  
Finite Element ◽  
Random Vibration ◽  
Gaussian White Noise ◽  
Three Dimensional ◽  
Planck Equation ◽  
Iterative Solution ◽  
Response Characteristics ◽  
Solution Strategies ◽  
Gaussian White Noise Process ◽  
Vibration Problems

Abstract This paper reports some of the recent efforts by the authors to examine the random vibration of mechanical systems of large dimension. A finite element solution method for the stationary three-dimensional Fokker-Planck equation, employing sparse storage and iterative solution strategies, is outlined and then applied to several representative systems. The first of these is a linear oscillator subjected to a first order linearly filtered Gaussian white noise process. This problem is used to verify and assess the accuracy of the method. After verification, two Duffing systems are analyzed, one exhibiting unimodal and the other bimodal response characteristics. Finally, some comparisons of the finite element results with those from Monte Carlo simulation are made for the two nonlinear systems.

Non-Linear Response Analysis of Moored Structures

2002 ◽  
Author(s):  
A. P. Shashikala
Keyword(s):  
Random Vibration ◽  
Hermite Polynomial ◽  
Response Spectrum ◽  
Single Point ◽  
Response Analysis ◽  
Efficient Tool ◽  
Mooring Lines ◽  
Offshore Engineering ◽  
Non Linear ◽  
Vibration Problems

The paper presents the application of spectral method to non-linear random vibration problems in offshore engineering. In the case of structures like single point mooring systems, the non-linearity comes from the non-linear restoring coefficient of mooring lines. The response spectrum for the non-linear dynamic response of the structure is studied by introducing the Hermite polynomial. The method provides an efficient tool for analysing moored structures.

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