Projection Methods for Stochastic Structural Dynamics

Pryse, S.E., Adhikari, S. and Kundu, A. (2018) Projection Methods for Stochastic Structural Dynamics. In: The 14th International Conference on Vibration Engineering and Technology of Machinery (VETOMAC XIV), Lisbon, Portugal., 10-13 Sept 2018, (doi: 10.1051/matecconf/201821101003)

Abstract

A set of novel hybrid projection approaches are proposed for approximating the response of stochastic partial differential equations which describe structural dynamic systems. An optimal basis for the response of a stochastic system has been computed from the eigen modes of the parametrized structural dynamic system. The hybrid projection methods are obtained by applying appropriate approximations and by reducing the modal basis. These methods have been further improved by an implementation of a sample based Galerkin error minimization approach. In total four methods are presented and compared for numerical accuracy and efficiency by analysing the bending of a Euler-Bernoulli cantilever beam.

• Item Type: Conference Proceedings
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Adhikari, Professor Sondipon
• Authors: Pryse, S.E., Adhikari, S., and Kundu, A.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: MATEC Web of Conferences
• Copyright Holders: Copyright © 2018 The Authors
• First Published: First published in MATEC Web of Conferences 211, 01003 (2018) VETOMAC XIV
• Publisher Policy: Reproduced under a Creative Commons licence

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