Response of a slender structure subject to stochastic ground motion and body force
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Olawale, Lukman, George, Erwin 
ORCID: https://orcid.org/0000-0001-9011-3970, Gao, Tao and Lai, Choi-Hong ORCID: https://orcid.org/0000-0002-7558-6398
(2024)
Response of a slender structure subject to stochastic ground motion and body force.
In: UKACM Proceedings 2024: Proceedings of the 2024 UK Association for Computational Mechanics Conference.
Department of Engineering, Durham University, Durham, pp. 226-229.
(doi:10.62512/conf.ukacm2024.076)
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Abstract
The stochastic analysis of the deflection behaviour of an idealised slender structure subject to stochastic disturbance is studied. In a previous work by the authors, the response of an Euler-Bernoulli beam subject to stochastic disturbance was studied. The current work extends the same techniques to a modified Euler-Bernoulli beam with both flexural beam and shear properties. The beam is subjected to a stochastic ground motion in the form of periodic motion with disturbance in the amplitude of the motion. The disturbance is in the form of Gaussian white noise. This results in a Stochastic Partial Differential Equation (SPDE) version of the modified Euler-Bernoulli beam equation. The stochastic analysis was then conducted by numerical methods using a combination of a finite difference scheme and Monte-Carlo Simulation. Given that the input force is Gaussian, it is also observed that the response of the system is a Gaussian process.
| Item Type: | Conference Proceedings |
|---|---|
| Title of Proceedings: | UKACM Proceedings 2024: Proceedings of the 2024 UK Association for Computational Mechanics Conference |
| Uncontrolled Keywords: | Euler-Bernoulli beam; stochastic PDE; white noise; uncertainty quantification; implicit numerical scheme; Monte carlo method. |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics > QA75 Electronic computers. Computer science T Technology > T Technology (General) |
| Faculty / School / Research Centre / Research Group: | Faculty of Engineering & Science Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS) |
| Related URLs: | |
| Last Modified: | 27 Jun 2024 15:46 |
| URI: | http://gala.gre.ac.uk/id/eprint/47524 |
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