Uncertainty quantification in stochastic mechanics: the Wiener path integral treatment

• Grant number: 12/14738-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: November 11, 2012
• End date: December 01, 2012
• Field of knowledge: Engineering - Civil Engineering - Structural Engineering
• Principal Investigator: André Teófilo Beck
• Grantee: André Teófilo Beck
• Visiting researcher: Ioannis Kougioumtzoglou
• Visiting researcher institution: University of Liverpool, England
• Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

A novel uncertainty quantification framework based on the concept of the Wiener Path Integral (WPI) will be developed and applied for studying and predicting the complex stochastic behavior of linear/nonlinear systems/structures of engineering interest. In this regard, WPI based response determination and reliability assessment methodologies will be developed. It is expected that the developed WPI framework will offer a unique new tool for addressing complex problems for the first time and facing current and future challenges in the field of engineering mechanics. By means of a short course, the visiting scholar will train the research group at the host institution in the application of WPI to uncertainty quantification, as well as in the solution of linear and non-linear stochastic dynamics problems. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BECK, ANDRE T.; KOUGIOUMTZOGLOU, IOANNIS A.; DOS SANTOS, KETSON R. M.. Optimal performance-based design of non-linear stochastic dynamical RC structures subject to stationary wind excitation. ENGINEERING STRUCTURES, v. 78, p. 145-153, NOV 1 2014. (12/14738-9)