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Sparse Representations and Quadratic Approximations in Path Integral Techniques for Stochastic Response Analysis of Diverse Systems/Structures
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Sparse Representations and Quadratic Approximations in Path Integral Techniques for Stochastic Response Analysis of Diverse Systems/Structures. |
| 개인저자 | Psaros Andriopoulos, Apostolos. |
| 단체저자명 | Columbia University. Civil Engineering and Engineering Mechanics. |
| 발행사항 | [S.l.]: Columbia University., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 148 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781085678926 |
| 학위논문주기 | Thesis (Ph.D.)--Columbia University, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Kougioumtzoglou, Ioannis. |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | 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 |
| 일반주제명 | Civil engineering. Applied mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
