Singular integral operators method for anisotropic elastic stress analysis

Ladopoulos, E. G.

doi:10.1016/0045-7949(93)90431-c

Cited by 11 publications

(3 citation statements)

References 24 publications

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“…A weighting function f * is introduced, so that it has continuous first derivatives. Then, the function f * produces the following weighted residual statement [29][30][31][32][33][34][35][36][37][38]:…”

Section: Potential Flow Analysis By the Singular Integral Operators Mmentioning

confidence: 99%

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Unsteady Spillway Flows by Singular Integral Operators Method

Ladopoulos¹

2012

ENG

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The Singular Integral Operators Method (S.I.O.M.) is applied to the determination of the free-surface profile of an un-steady flow over a spillway, which defines a classical hydraulics problem in open channel flow. Thus, with a known flow rate Q, then the velocities and the elevations are computed on the free surface of the spillway flow. For the numerical evaluation of the singular integral equations both constant and linear elements are used. An application is finally given to the determination of the free-surface profile of a special spillway and comparing the numerical results with corresponding results by the Boundary Integral Equation Method (B.I.E.M.) and by using experiments

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Section: Potential Flow Analysis By the Singular Integral Operators Mmentioning

confidence: 99%

“…Thus, the Singular Integral Operators Method (S.I.O.M.) [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] is applied to the determination of the free-surface profile of a spillway. For the numerical evaluation of the singular integral equations both constant and linear elements are used.…”

Section: Introductionmentioning

confidence: 99%

Unsteady Spillway Flows by Singular Integral Operators Method

Ladopoulos¹

2012

ENG

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“…Over the last years, E.G. Ladopoulos introduced and studied several linear (Ladopoulos, 1988a, b, 1991a, b, 1993, 2000) and non‐linear singular integro‐differential equations methods (Ladopoulos, 1991c, 1994, 1995, 1997) for the solution of many important problems of structural analysis and fluid mechanics. On the other hand, an ordinary differential equations analysis is proposed by the present investigation, for the solution of some generalized dynamic analysis problems for non‐linear (non‐symmetrical) structures.…”

Section: Introductionmentioning

confidence: 99%

Non‐linear dynamic analysis by three‐dimensional ordinary differential equations

Ladopoulos¹

2005

Engineering Computations

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PurposeAims to propose a new dynamic model for the solution of the three‐dimensional structural analysis problem of a non‐linear (non‐symmetrical) structure which is subjected under seismic forces.Design/methodology/approachThis problem is reduced to the solution of a system of ordinary differential equations of the second kind and such a system is numerically solved by using a special kind of finite elements and by solving the corresponding eigenvalues‐eigenvectors problem.FindingsThe proposed finite element method is much smaller in degree of freedom size than commercial software, as classical linear stiffness matrices of three‐dimensional beam element have six degrees of freedom per node.Research limitations/implicationsFuture research should concentrate on the application of the new dynamic model to solve more complicated forms of non‐symmetrical structures.Practical implicationsPractical implications are given to structural analysis problems to the determination of the eigenvalues‐eigenvectors. As an example, an application is given to the determination of the eigenvalues and eigenvectors of a 15‐floor building consisting of reinforced concrete and subjected to an horizontal seismic vibration.Originality/valueThe new dynamic model which is proposed is addressed to researchers of dynamic analysis and civil engineers.

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Introduction

Ladopoulos¹

2000

Singular Integral Equations

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Singular integral operators method for anisotropic elastic stress analysis

Cited by 11 publications

References 24 publications

Unsteady Spillway Flows by Singular Integral Operators Method

Unsteady Spillway Flows by Singular Integral Operators Method

Non‐linear dynamic analysis by three‐dimensional ordinary differential equations

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