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New Methods of Stochastic Finite Element Based on Random Characteristic Analysis for Thin-Walled Box Girders

Author: LiuPing
Tutor: YangLvFeng
School: Guangxi University
Course: Structural Engineering
Keywords: With the airport Karhunen-Loève series KLSMCFEM Law Reduction based stochastic finite element method Thin-walled box girder Shear Lag Effect
CLC: U441
Type: Master's thesis
Year: 2008
Downloads: 118
Quote: 0
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Abstract


The randomness inherent characteristics of engineering structures , and therefore consider the randomness of the actual project , stochastic analysis has important practical significance of the project . This thesis based finite element method (KLSMCFEM) Monte Carlo random field Karhunen-Loève series , as well as reduction based stochastic finite element method (RBSFEM); and the above-mentioned method , the theory is applied to a thin-walled box beam shear lag effect and bending problems . First local average method of random fields and Karhunen-Loève series expansion method . And for the special form of covariance function of the random field , given the analytical expressions of the eigenvalues ??of the characteristic function ; Galerkin numerical solution of the eigenvalue problem for ordinary random field covariance function further discussion . Based and with airport Karhunen-Loève orthogonal series expansion theory , combined with Monte Carlo finite element method (MCFEM) to study the establishment of a series based on random field Karhunen-Loève Monte Carlo finite element method ( KLSMCFEM ) . Random basis vectors of the Krylov subspace orthogonal expansion in the random field Karhunen-Loève series based on the theory of pretreatment , the structure displacement response process commenced random abbreviated base vector expansion study established the abbreviated based stochastic finite element method (RBSFEM), derived the formula for calculating the amount of statistical characteristics of the structural response value . And for the analysis of random parameter variation problems . In view of the thin-walled box girder bridge project is usually in the form of a structure , shear lag effect in box girder bending loads the bridge occurred damage or even destroy one of the reasons , this paper studied the box girder shear lag effect random deflection , combined with one-dimensional discrete finite element method , proposed new stochastic finite element method for stochastic analysis of thin-walled box beam considering shear lag effect , including the random nature of the thin-walled box girder the analysis of KLSMCFEM Act and RBSFEM of law .

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CLC: > Transportation > Road transport > Bridges and Culverts > Structural principles, structural mechanics
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