基于转角影响线的截面开裂梁桥损伤诊断方法研究

RESEARCH ON DAMAGE DIAGNOSIS METHOD FOR BEAM BRIDGES WITH CRACKED SECTIONS BASED ON ROTATION ANGLE INFLUENCE LINE

  • 摘要: 针对影响线在既有梁桥截面开裂诊断中精度不足的问题,提出了一种基于转角影响线的非线性裂缝损伤诊断方法。对比分析挠度与转角影响线在损伤识别中的效果与定刚度扭簧模型、张开裂缝模型和呼吸裂缝模型的力学特性,结果表明转角影响线更具敏感性、稳定性与抗噪性,呼吸裂缝模型能够更真实地反映裂缝行为。将呼吸裂缝非线性刚度函数代入转角影响线理论推导,建立考虑截面开裂的解析解并提出了相应诊断指标。通过数值模拟与实际工程案例验证所提解析解的科学性与诊断指标的准确性。结果表明,转角影响线能够准确描述开裂行为对桥梁受力性能的影响,所提诊断指标能够精确定位截面开裂损伤,具有良好的工程应用价值。

     

    Abstract: To address the low accuracy of influence lines in diagnosing section cracking in existing beam bridges, a nonlinear crack damage diagnosis method based on rotation angle influence lines is proposed. The effectiveness of deflection and rotation angle influence lines in damage identification is compared, along with the mechanical behavior of the constant-stiffness spring, of the open-crack and, of the breathing-crack models. The research results show that the rotation angle influence line has higher sensitivity, stability, and noise resistance, while the breathing crack model can better represent the real crack behavior. The nonlinear stiffness function of the breathing crack is introduced into the theoretical derivation of the rotation angle influence line. An analytical solution considering section cracking is established, and a corresponding diagnosis index is proposed. Numerical simulations and practical bridge tests are conducted to verify the validity of the analytical solution and the accuracy of the diagnosis index. The results demonstrate that the rotation angle influence line can accurately describe the effect of cracking on bridge stiffness, and the proposed diagnosis index can precisely locate section crack damage with good engineering applicability.

     

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