000004540 001__ 4540
000004540 005__ 20141118192704.0
000004540 0177_ $$2doi$$a10.3850/978-981-07-2219-7_P260

000004540 0247_ $$210.3850/978-981-07-2219-7_P260
$$adoi
000004540 04107 $$aeng
000004540 046__ $$k2012-05-23
000004540 100__ $$aDahai, Wang
000004540 24500 $$aRecursive Approach of Eigenvalues of Random Structure

000004540 24630 $$n5.$$pProceedings of the 5th Asian-Pacific Symposium on Structural Reliability and its Applications
000004540 260__ $$bResearch Publishing, No:83 Genting Lane, #08-01, Genting Building, 349568 SINGAPORE
000004540 506__ $$arestricted
000004540 520__ $$2eng$$aThis paper focuses on solving eigenvalue problem, one basic and classical problem in stochastic dynamics, of structures with random material variability. The random material properties, such as modulus of elasticity, are represented by Karhunen-Loeve expansion or independent random variables. The isolated eigenvalues of random structures are expressed as non-orthogonal polynomials expansions. With the aid of the traditional perturbation technique, a set of deterministic recursive equations is established in terms of non-orthogonal polynomials bases of the same order. After the coefficients of the non-orthogonal polynomials expansion are determined, the explicit expressions of the random eigenvalues can be built up. Hence, it can be easily conducted to determine the statistics of eigenvalues. In numerical example, a beam problem is investigated to demonstrate the effectiveness of the proposed method, and the second order statistics of random eigenvalues from the suggested method are found in good agreement with the results of the Monte Carlo simulation, such as shown in Figure1.

000004540 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004540 653__ $$aRandom structure, Eigenvalue, Karhunen-loeve expansion, Nonorthogonal polynomial expansion, Perturbation.

000004540 7112_ $$a5th Asian-Pacific Symposium on Structural Reliability and its Applications$$cSingapore (SG)$$d2012-05-23 / 2012-05-25$$gAPSSRA2012
000004540 720__ $$aDahai, Wang$$iBin, Huang
000004540 8560_ $$ffischerc@itam.cas.cz
000004540 8564_ $$s432001$$uhttps://invenio.itam.cas.cz/record/4540/files/P260.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004540 962__ $$r4180
000004540 980__ $$aPAPER