Analysis of Elastic Beams on Linear and Nonlinear Foundations Using Finite Difference Method

Essa, Saad

doi:10.23918/iec2018.18

Cited by 2 publications

(1 citation statement)

References 13 publications

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“…Using an Excel workbook to calculate beam deflections gives numerical and graphical outputs with long beams of arbitrary load and constant cross-section. In article [7], the study has analyzed beam and beam-column deflection based on elastic strain differential equation, which is an approximation method.…”

Section: Figure 1 Beam On Elastic Foundation -Winkler Ground Modelmentioning

confidence: 99%

Internal force analysis of beams on elastic foundation using differential evolutionary optimization algorithm based on hybrid mutation technique

Duy¹,

Hoa²,

Loan³

2023

UD-JST

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The paper presents the Finite element method (FEM) that calculates the internal force and the displacement of beams on elastic foundation in the case of the uncertainty input parameters described in terms of the number intervals. Using the interval function optimization algorithm combined with the FEM to determine the internal force values of the span reinforced concrete beam structure. This study applies the hybrid differential evolutionary optimization algorithm combined with FEM interval functions to determine the required internal force results of reinforced concrete beams placed on an elastic foundation. The calculation process is programmed using Maple.17 software to determine the displacement output and the resulting internal force in the beam. To check the correctness of the program calculated on Maple.17, the input declared dataset corresponds to the central values of the interval numbers and is recalculated by SAP2000v21 software, then evaluates the results error of internal force on the beam under consideration.

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Section: Figure 1 Beam On Elastic Foundation -Winkler Ground Modelmentioning

confidence: 99%

Internal force analysis of beams on elastic foundation using differential evolutionary optimization algorithm based on hybrid mutation technique

Duy¹,

Hoa²,

Loan³

2023

UD-JST

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A Study on the Explicit Expression of Critical Stress and Euler Stress and its Application

Zhang

Luo

2019

TFAMENA

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Both the tangent modulus theory and the double modulus theory are classical theories which can be applied to the elastic-plastic stability analysis of columns. In the traditional tangent modulus theory, numerous iterations are required to calculate the critical buckling stress and this makes the method very time-consuming. In this paper, an explicit formula for establishing a direct correlation between the critical stress and the Euler stress has been proposed to reduce trial calculations. This formula can be applied to spherical shells by simplifying their stiffened plates to the form of beams on elastic foundations. The explicit expressions of both modulus theories can be used to calculate the ultimate strength of a spherical shell under pressure. The results from the proposed expression are compared with experimental results and other numerical results.

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Analysis of Elastic Beams on Linear and Nonlinear Foundations Using Finite Difference Method

Cited by 2 publications

References 13 publications

Internal force analysis of beams on elastic foundation using differential evolutionary optimization algorithm based on hybrid mutation technique

Internal force analysis of beams on elastic foundation using differential evolutionary optimization algorithm based on hybrid mutation technique

A Study on the Explicit Expression of Critical Stress and Euler Stress and its Application

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