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Stiffness Estimation of Cracked Beams Based on Nonlinear Stress Distributions Near the Crack

机译：基于裂纹附近非线性应力分布的裂纹梁刚度估算

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摘要

The crack presence causes nonlinear stress distributions along the sections of a beam, which change the neutral axis of the sections and further affect the beam stiffness. Thus, this paper presents a method for the stiffness estimation of cracked beams based on the stress distributions. First, regions whose stresses are affected by the crack are analyzed, and according to the distance to the crack, different nonlinear stress distributions are modeled for the effect regions. The inertia moments of section are evaluated by substituting these stress distributions into the internal force equilibrium of section. Then the finite-element technique is adopted to estimate the stiffness of the cracked beam. The estimated stiffness is used to predict the displacements of simply supported beams with a crack, and the results show that both static and vibrational displacements are accurately predicted, which indicates that the estimated stiffness is precise enough. Besides, as the section shape of beam is not limited in the process of modeling the stress distributions, the method could be applicable not only to the stiffness estimation of cracked beams with a rectangular section, but also to that of the beams with a T-shaped section if the crack depth ratio is not larger than 0.7.
机译：裂纹的存在会导致沿梁截面的非线性应力分布，从而改变截面的中性轴并进一步影响梁的刚度。因此，本文提出了一种基于应力分布的裂纹梁刚度估算方法。首先，分析应力受裂纹影响的区域，并根据到裂纹的距离，为影响区域建模不同的非线性应力分布。通过将这些应力分布代入截面的内力平衡中来评估截面的惯性矩。然后采用有限元技术来估计裂纹梁的刚度。估算的刚度用于预测带有裂纹的简支梁的位移，结果表明，静位移和振动位移都可以准确预测，这表明估算的刚度足够精确。此外，由于梁的截面形状在应力分布建模过程中不受限制，因此该方法不仅适用于矩形截面裂纹梁的刚度估算，也适用于T形梁的刚度估算。裂纹深度比不大于0.7的异型截面。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第6期|5987973.1-5987973.12|共12页
  • 作者

    Fu Chunyu; Wang Yuyang; Tong Dawei;

  • 作者单位

    Hohai Univ, Coll Civil & Transportat Engn, Nanjing 210098, Jiangsu, Peoples R China;

    Hohai Univ, Coll Civil & Transportat Engn, Nanjing 210098, Jiangsu, Peoples R China;

    Hohai Univ, Coll Civil & Transportat Engn, Nanjing 210098, Jiangsu, Peoples R China;

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