力学与实践 ›› 2015, Vol. 37 ›› Issue (1): 79-85.DOI: 10.6052/1000-0879-14-031

• 应用研究 • 上一篇    下一篇

考虑自平衡条件T形曲梁的静力学特性分析

甘亚南, 石飞停   

  1. 盐城工学院土木工程学院, 江苏盐城 224051
  • 收稿日期:2014-04-24 修回日期:2014-10-30 出版日期:2015-02-15 发布日期:2014-12-18
  • 通讯作者: 甘亚南,副教授,博士,主要从事桥梁结构设计理论方面的分析研究. E-mail:gyn-12@163.com
  • 基金资助:

    江苏省高校自然科学研究项目(13KJB5600145)及国家自然科学基金项目(50578054)资助.

THE ANALYSIS ON STATIC CHARACTERISTICS OF CURVED T-BEAMS IN CONSIDERATION OF SELF-EQUILIBRIUM

GAN Yanan, SHI Feiting   

  1. School of Civil Engineering and Architecture, Yancheng Institute of Technology, Yancheng 224051, Jiangsu, China
  • Received:2014-04-24 Revised:2014-10-30 Online:2015-02-15 Published:2014-12-18

摘要:

为了准确分析T 形曲梁的静力学特性,该文考虑了剪滞翘曲应力自平衡条件、剪力滞后和剪切变形等因素的影响. 同时为了更好地反映T 形曲梁翼板的位移变化,4 个广义位移函数被引入,分析中以能量变分原理为基础建立了T 形曲梁静力学特性的控制微分方程和自然边界条件. 算例中,分析了剪滞翘曲应力自平衡条件、不同载荷形式和曲梁半径R 等因素对T 形曲梁静力学特性的影响,该文解析解与有限元数值解吻合更好,说明了该文方法的有效性.

关键词:

T 形曲梁|自平衡条件|静力学特性|能量变分原理

Abstract:

In consideration of the shear lag effects and the shear deformation, a new warping displacement mode of curved T-beams is chosen to satisfy the axial self-equilibrium condition for the shear lag warping stress, and an accurate approach is proposed to analyze the static characteristics of curved T-beams widely used in engineering. The energy-variational principle is applied to establish the governing differential equations and the corresponding natural boundary conditions, and thus the closed-form solutions of the generalized displacements are obtained. The variations of the shear lag coefficients and the stress in the curved T-beams against the span-width ratio and the type of loading are discussed, and the role played by the self-equilibrium condition is analyzed.

Key words:

curved T-beams|self-equilibrium condition|static characteristics|energy-variational principle

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