A MODIFIED COMPUTATIONAL SCHEME OF THE STOCHASTIC PERTURBATION FINITE ELEMENT METHOD

Authors

  • FENG WU DALIAN UNIVERSITY OF TECHNOLOGY

Keywords:

STOCHASTIC FINITE ELEMENT METHOD, UNCERTAIN STRUCTURES, PERTURBATION, COMPUTATIONAL SCHEME

Abstract

A MODIFIED COMPUTATIONAL SCHEME OF THE STOCHASTIC PERTURBATION FINITE ELEMENT METHOD (SPFEM) IS DEVELOPED FOR STRUCTURES WITH LOW-LEVEL UNCERTAINTIES. THE PROPOSED SCHEME CAN PROVIDE SECOND-ORDER ESTIMATES OF THE MEAN AND VARIANCE WITHOUT DIFFERENTIATING THE SYSTEM MATRICES WITH RESPECT TO THE RANDOM VARIABLES. WHEN THE PROPOSED SCHEME IS USED, IT INVOLVES LIMITED ANALYSES OF DETERMINISTIC SYSTEMS. IN THE CASE OF ONE RANDOM VARIABLE WITH A SYMMETRIC PROBABILITY DENSITY FUNCTION, THE PROPOSED COMPUTATIONAL SCHEME CAN EVEN PROVIDE A RESULT WITH FIFTH-ORDER ACCURACY. COMPARED WITH THE TRADITIONAL COMPUTATIONAL SCHEME OF SPFEM, THE PROPOSED SCHEME IS MORE CONVENIENT FOR IMPLEMENTATION. THREE NUMERICAL EXAMPLES DEMONSTRATE THAT THE PROPOSED SCHEME CAN BE USED IN LINEAR OR NONLINEAR STRUCTURES WITH CORRELATED OR UNCORRELATED RANDOM VARIABLES

Author Biography

FENG WU, DALIAN UNIVERSITY OF TECHNOLOGY

EDUCATION

PH.D. ENGINEERING MECHANICS, DALIAN UNIVERSITY OF TECHNOLOGY

(SEPT. 2010-NOV. 2014)

TITLE OF PHD DISSERTATION:

RESEARCHES ON TIME DOMAIN INTEGRAL METHODS AND SCATTERING ANALYSIS METHODS FOR PERIODIC STRUCTURES

ADVISOR:  PROF. WANXIE ZHONG  AND PROF. QIANG GAO

M.E. STRUCTURAL ENGINEERING, GUANGXI UNIVERSITY

(SEPT. 2007-JUN. 2010)

TITLE OF ME DISSERTATION:

STUDYING THE DYNAMIC ANALYTICAL METHOD OF PLANE STEEL FRAMES WITH SEMI-RIGID CONNECTIONS

ADVISOR:  PROF. XIUMEI LI

B.S. CIVIL ENGINEERING, GUANGXI UNIVERSITY

(SEPT. 2003-JUN. 2007)

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Published

2015-08-25

Issue

Vol. 12 No. 13 (2015)

Section

Articles

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