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020 ▼a 9781085678926
035 ▼a (MiAaPQ)AAI13901385
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 519
1001 ▼a Psaros Andriopoulos, Apostolos.
24510 ▼a Sparse Representations and Quadratic Approximations in Path Integral Techniques for Stochastic Response Analysis of Diverse Systems/Structures.
260 ▼a [S.l.]: ▼b Columbia University., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 148 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
500 ▼a Advisor: Kougioumtzoglou, Ioannis.
5021 ▼a Thesis (Ph.D.)--Columbia University, 2019.
506 ▼a This item must not be sold to any third party vendors.
520 ▼a Uncertainty propagation in engineering mechanics and dynamics is a highly challenging problem that requires development of analytical/numerical techniques for determining the stochastic response of complex engineering systems. In this regard, although Monte Carlo simulation (MCS) has been the most versatile technique for addressing the above problem, it can become computationally daunting when faced with high-dimensional systems or with computing very low probability events. Thus, there is a demand for pursuing more computationally efficient methodologies.Recently, a Wiener path integral (WPI) technique, whose origins can be found in theoretical physics, has been developed in the field of engineering dynamics for determining the response transition probability density function (PDF) of nonlinear oscillators subject to non-white, non-Gaussian and non-stationary excitation processes. In the present work, the Wiener path integral technique is enhanced, extended and generalized with respect to three main aspects
590 ▼a School code: 0054.
650 4 ▼a Civil engineering.
650 4 ▼a Applied mathematics.
690 ▼a 0543
690 ▼a 0364
71020 ▼a Columbia University. ▼b Civil Engineering and Engineering Mechanics.
7730 ▼t Dissertations Abstracts International ▼g 81-04B.
773 ▼t Dissertation Abstract International
790 ▼a 0054
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15492290 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1008102
991 ▼a E-BOOK