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Your search keyword '"Gimena, Lazaro"' showing total 9 results
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9 results on '"Gimena, Lazaro"'

4. Structural analysis of parabolic arches defined in Global Coodinates

Author

GIMENA, Lazaro, GONZAGA, Pedro, and GIMENA, Faustino N.

Subjects
Curved beam, Global coordinates, Structural analysis, Differential system, Transfer matrix, Paraboilc arches, Frenet frame
Abstract

This paper deals with curved beams, particularly, parabolic arches defined in global coordinates. The problem is approached differentially and expressed in a unique system of twelve linear ordinary differential equations given by Gimena et al. [2]. The lowertriangular form of the system of equations permits the determination of the exact analytical solution through successive integrations row by row. The system can also be solved using a numerical method with boundary conditions. Axial and shearing deformations, varying cross section area, non-symmetric section, generalized loads and different support conditions can be taken into account. In special cases, this system is particularized, and different subsystems arise, to model the mechanical behavior of special structural elements.This study presents the way to proceed with parabolic arches, which have an optimal response transmitting vertical load (Gimena et al. [3]). Analytic expressions and results of forces, moment, rotation and displacements for parabolic arches (spans, heights, load cases and supports) are given and plotted.

Published
2009

6. Structural analysis of parabolic arches defined in Global Coodinates

Author

Domingo Cabo, Alberto, Lázaro Fernández, Carlos Manuel, GIMENA, Lazaro, GONZAGA, Pedro, GIMENA, Faustino N., Domingo Cabo, Alberto, Lázaro Fernández, Carlos Manuel, GIMENA, Lazaro, GONZAGA, Pedro, and GIMENA, Faustino N.

Abstract

p. 2780-2792, This paper deals with curved beams, particularly, parabolic arches defined in global coordinates. The problem is approached differentially and expressed in a unique system of twelve linear ordinary differential equations given by Gimena et al. [2]. The lowertriangular form of the system of equations permits the determination of the exact analytical solution through successive integrations row by row. The system can also be solved using a numerical method with boundary conditions. Axial and shearing deformations, varying cross section area, non-symmetric section, generalized loads and different support conditions can be taken into account. In special cases, this system is particularized, and different subsystems arise, to model the mechanical behavior of special structural elements.This study presents the way to proceed with parabolic arches, which have an optimal response transmitting vertical load (Gimena et al. [3]). Analytic expressions and results of forces, moment, rotation and displacements for parabolic arches (spans, heights, load cases and supports) are given and plotted.

Published
2009

9. Implementation of Boundary Equations in the Finite Transfer Method.

Author

Gimena, Lazaro, Gonzaga, Pedro, and Gimena, Faustino N.

Subjects
*TRANSFER (Algebraic topology), *DIFFERENTIAL equations, *BOUNDARY value problems, *STRUCTURAL analysis (Engineering), *ALGEBRA
Abstract

The Finite Transfer Method used to solve a system of linear ordinary differential equations is extended by adding the boundary equations involved in the problem. A Runge-Kutta scheme could be chosen, for example, to obtain Finite Transfer expressions. The use of a recurrence strategy in these equations permits one to relate different points in the domain where boundary equations could be defined. A final algebraic system of equations is annotated and solved. The method could be applied to determine the structural behaviour of a spatially curved beam element. An example is given to show the procedure exposed. [ABSTRACT FROM AUTHOR]

Published
2009

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