The University of Southampton
University of Southampton Institutional Repository

Application of the homotopy analysis method to determine the analytical limit state functions and reliability index for large deflection of a cantilever beam subjected to static co-planar loading

Application of the homotopy analysis method to determine the analytical limit state functions and reliability index for large deflection of a cantilever beam subjected to static co-planar loading
Application of the homotopy analysis method to determine the analytical limit state functions and reliability index for large deflection of a cantilever beam subjected to static co-planar loading
In this paper, the Homotopy Analysis Method (HAM) is applied to obtain the limit state function, probability of failure and reliability index based on all stochastic and deterministic variables for a cantilever beam subjected to co-planar loading for the first time. First, it is established that a few iterations in the series expansion are sufficient to obtain highly accurate results and a substantial convergence region. After showing the effectiveness of HAM, two limit state functions are introduced as the maximum deflection in the y direction and maximum allowable stress, respectively. Then the first order reliability method (FORM) is employed to obtain reliability index, and omission sensitivity factor analytically. It is shown that HAM is a promising tool to obtain limit state function, probability of failure and reliability index analytically for nonlinear problems. Finally, a sensitivity analysis is done to show that which parameters could be considered deterministic or stochastic variables.
reliability index, omission sensitivity factor, failure function, homotopy analysis method, geometrical nonlinearity
0898-1221
4646-4655
Kimiaeifar, A.
2296dad1-aa53-4141-86cd-5d77527a8d13
Lund, E.
c663d217-9333-4b98-b59c-06c93cf4ba81
Thomsen, O.T.
f3e60b22-a09f-4d58-90da-d58e37d68047
Sørensen, J.D.
3244fbfe-8d88-4213-bf2c-2d5dc604e816
Kimiaeifar, A.
2296dad1-aa53-4141-86cd-5d77527a8d13
Lund, E.
c663d217-9333-4b98-b59c-06c93cf4ba81
Thomsen, O.T.
f3e60b22-a09f-4d58-90da-d58e37d68047
Sørensen, J.D.
3244fbfe-8d88-4213-bf2c-2d5dc604e816

Kimiaeifar, A., Lund, E., Thomsen, O.T. and Sørensen, J.D. (2011) Application of the homotopy analysis method to determine the analytical limit state functions and reliability index for large deflection of a cantilever beam subjected to static co-planar loading. Computers & Mathematics with Applications, 62 (12), 4646-4655. (doi:10.1016/j.camwa.2011.10.050).

Record type: Article

Abstract

In this paper, the Homotopy Analysis Method (HAM) is applied to obtain the limit state function, probability of failure and reliability index based on all stochastic and deterministic variables for a cantilever beam subjected to co-planar loading for the first time. First, it is established that a few iterations in the series expansion are sufficient to obtain highly accurate results and a substantial convergence region. After showing the effectiveness of HAM, two limit state functions are introduced as the maximum deflection in the y direction and maximum allowable stress, respectively. Then the first order reliability method (FORM) is employed to obtain reliability index, and omission sensitivity factor analytically. It is shown that HAM is a promising tool to obtain limit state function, probability of failure and reliability index analytically for nonlinear problems. Finally, a sensitivity analysis is done to show that which parameters could be considered deterministic or stochastic variables.

This record has no associated files available for download.

More information

Published date: December 2011
Keywords: reliability index, omission sensitivity factor, failure function, homotopy analysis method, geometrical nonlinearity
Organisations: Engineering Mats & Surface Engineerg Gp

Identifiers

Local EPrints ID: 339108
URI: http://eprints.soton.ac.uk/id/eprint/339108
ISSN: 0898-1221
PURE UUID: 90504d3c-3b55-4ef4-9361-9ea54f262a16

Catalogue record

Date deposited: 23 May 2012 12:08
Last modified: 14 Mar 2024 11:09

Export record

Altmetrics

Contributors

Author: A. Kimiaeifar
Author: E. Lund
Author: O.T. Thomsen
Author: J.D. Sørensen

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×