Critical buckling moment of functionally graded tapered mono-symmetric I-beam

IF 4 3区工程技术 Q1 CONSTRUCTION & BUILDING TECHNOLOGY

Steel and Composite Structures Pub Date : 2021-01-01 DOI:10.12989/SCS.2021.39.5.599

M. Rezaiee-Pajand, A. Masoodi, A. Alepaighambar

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引用次数: 5

Abstract

This study deals with the Lateral-Torsional Buckling (LTB) of a mono-symmetric tapered I-beam, in which the cross-section is varying longitudinally. To obtain the buckling moment, two concentrated bending moments should be applied at the two ends of the structure. This structure is made of Functionally Graded Material (FGM). The Young' s and shear modules change linearly along the longitudinal direction of the beam. It is considered that this tapered beam is laterally restrained continuously, by using torsional springs. Furthermore, two rotational bending springs are employed at the two structural ends. To achieve the buckling moment, Ritz solution method is utilized. The response of critical buckling moment of the beam is obtained by minimizing the total potential energy relation. The lateral and torsional displacement fields of the beam are interpolated by harmonic functions. These functions satisfy the boundary conditions. Two different support conditions are considered in this study. The obtained formulation is validated by solving benchmark problems. Moreover, some numerical studies are implemented to show the accuracy, efficiency and high performance of the proposed formulation.

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功能梯度锥形单对称工字梁的临界屈曲力矩

本文研究了截面纵向变化的单对称锥形工字梁的侧扭屈曲问题。为了获得屈曲弯矩，应在结构两端施加两个集中弯矩。该结构由功能梯度材料(FGM)制成。杨氏模量和剪切模量沿梁的纵向呈线性变化。通过扭簧的作用，认为该锥形梁受到连续的横向约束。此外，在结构两端采用了两个旋转弯曲弹簧。为了获得屈曲力矩，采用了里兹解法。通过最小化总势能关系，得到梁的临界屈曲力矩响应。梁的横向位移场和扭转位移场采用谐波函数插值。这些函数满足边界条件。本研究考虑了两种不同的支撑条件。通过求解基准问题对所得公式进行了验证。通过数值计算，验证了该方法的准确性、高效性和高性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Steel and Composite Structures 工程技术-材料科学：复合

CiteScore

8.50

自引率

19.60%

发文量

审稿时长

7.5 months

期刊介绍： Steel & Composite Structures, An International Journal, provides and excellent publication channel which reports the up-to-date research developments in the steel structures and steel-concrete composite structures, and FRP plated structures from the international steel community. The research results reported in this journal address all the aspects of theoretical and experimental research, including Buckling/Stability, Fatigue/Fracture, Fire Performance, Connections, Frames/Bridges, Plates/Shells, Composite Structural Components, Hybrid Structures, Fabrication/Maintenance, Design Codes, Dynamics/Vibrations, Nonferrous Metal Structures, Non-metalic plates, Analytical Methods. The Journal specially wishes to bridge the gap between the theoretical developments and practical applications for the benefits of both academic researchers and practicing engineers. In this light, contributions from the practicing engineers are especially welcome.