Cakmak, A. S.

Köylüoglu, H. U.

Nielsen, Søren R. K.

English

This paper deals with the lower order statistical moments of the response of structures with random stiffness and random damping properties subject to random excitation. The arising stochastic differential equations (SDE) with random coefficients are solved by two methods, a second order perturbation approach and a Markovian method. The second order perturbation approach is grounded on the total probability theorem and can be compactly written. Moreover, the problem to be solved is independent of the dimension of the random variables involved. The Markovian approach suggests transforming the SDE with random coefficients with deterministic initial conditions to an equivalent nonlinear SDE with deterministic coefficient and random initial conditions. In both methods, the statistical moment equations are used. Hierarchy of statistical moments in the markovian approach is closed by the cumulant neglect closure method applied at the fourth order level

    Aalborg UniversitetSolution Methods for Structures with Random Properties Subject to RandomExcitationKöylüoglu, H. U.; Nielsen, Søren R. K.; Cakmak, A. S.Published in:Proceedings of the 10th Conference on Engineering MechanicsPublication date:1994Document VersionPublisher's PDF, also known as Version of recordLink to publication from Aalborg UniversityCitation for published version (APA):Köylüoglu, H. U., Nielsen, S. R. K., & Cakmak, A. S. (1994). Solution Methods for Structures with RandomProperties Subject to Random Excitation. In Proceedings of the 10th Conference on Engineering Mechanics (pp.1131-1134). Structural Reliability Theory Vol. R9444 No. 136General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright ownersand it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.            ? Users may download and print one copy of any publication from the public portal for the purpose of private study or research.            ? You may not further distribute the material or use it for any profit-making activity or commercial gain            ? You may freely distribute the URL identifying the publication in the public portal ?Take down policyIf you believe that this document breaches copyright please contact us at vbn@aub.aau.dk providing details, and we will remove access tothe work immediately and investigate your claim.

Solution Methods for Structures with Random Properties Subject to Random Excitation

    Aalborg UniversitetSolution Methods for Structures with Random Properties Subject to RandomExcitationKöylüoglu, H. U.; Nielsen, Søren R. K.; Cakmak, A. S.Publication date:1994Document VersionPublisher's PDF, also known as Version of recordLink to publication from Aalborg UniversityCitation for published version (APA):Köylüoglu, H. U., Nielsen, S. R. K., & Cakmak, A. S. (1994). Solution Methods for Structures with RandomProperties Subject to Random Excitation. Dept. of Building Technology and Structural Engineering. StructuralReliability Theory Vol. R9444 No. 136General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright ownersand it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.            ? Users may download and print one copy of any publication from the public portal for the purpose of private study or research.            ? You may not further distribute the material or use it for any profit-making activity or commercial gain            ? You may freely distribute the URL identifying the publication in the public portal ?Take down policyIf you believe that this document breaches copyright please contact us at vbn@aub.aau.dk providing details, and we will remove access tothe work immediately and investigate your claim.Downloaded from vbn.aau.dk on: December 27, 2020

https://vbn.aau.dk/ws/files/34016434/Solution%20Methods%20for%20Structures%20with%20Random%20Properties%20Subject%20to%20Random%20Excitation.pdf

Solution Methods for Structures with Random Properties Subject to Random Excitation

Abstract

Similar works

Full text

Available Versions

VBN

VBN