甘亚南, 石飞停. 考虑自平衡条件T形曲梁的静力学特性分析[J]. 力学与实践, 2015, 37(1): 79-85. DOI: 10.6052/1000-0879-14-031
引用本文: 甘亚南, 石飞停. 考虑自平衡条件T形曲梁的静力学特性分析[J]. 力学与实践, 2015, 37(1): 79-85. DOI: 10.6052/1000-0879-14-031
GAN Yanan, SHI Feiting. THE ANALYSIS ON STATIC CHARACTERISTICS OF CURVED T-BEAMS IN CONSIDERATION OF SELF-EQUILIBRIUM[J]. MECHANICS IN ENGINEERING, 2015, 37(1): 79-85. DOI: 10.6052/1000-0879-14-031
Citation: GAN Yanan, SHI Feiting. THE ANALYSIS ON STATIC CHARACTERISTICS OF CURVED T-BEAMS IN CONSIDERATION OF SELF-EQUILIBRIUM[J]. MECHANICS IN ENGINEERING, 2015, 37(1): 79-85. DOI: 10.6052/1000-0879-14-031

考虑自平衡条件T形曲梁的静力学特性分析

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

  • 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.

     

    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.

     

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