针对公路桥梁与城市立交中普遍采用的梁桥结构,建立了基于梁格法的桥梁移动荷载识别模型。推导了移动荷载作用下的梁桥空间运动方程,运用子空间迭代法求解桥梁的离散振型;利用Newmark-β逐步积分法得到桥梁的模拟响应,并通过结合样条函数逼近法与截断奇异值分解正则化方法得到移动荷载的稳定解。数值模拟了一简支组合梁桥和一单箱三室混凝土连续箱梁桥上移动时变力和车桥接触力的识别,考虑了噪声、偏载、桥面不平度等因素。结果表明:通过符合等效原则的、合理的网格划分,梁格模型可准确地模拟梁桥的车桥相互作用;基于梁格法的移动荷载识别模型是可靠的,计算效率高、应用范围广。
For girders generally used in highway bridges and urban overpasses, a novel method based on a grillage model is proposed to identify moving loads on bridges. The equations of motion of a bridge model under the action of moving loads are derived, and the discrete modes and modal parameters of the bridge are obtained by using the subspaee-iteration algorithm. The simulated responses of the bridge are obtained by employing the Newmark-β stepby-step integration method, subsequently stable solutions for the moving loads are obtained by combining the spline function approximation method with a truncated singular value decomposition regularization method. Identification for the time-variant force on a simply supported composite girder and the contact force on a three-cell continuous concrete girder is numerically simulated, considering such factors as noise, load eccentricity and road roughness. The simulated results indicate that the grillage model can indeed simulate the vehicle-bridge interaction of girder bridges via a rational mesh and the principle of equivalence. The proposed moving load identification method based on the grillage model is reliable, efficient and applicable to a wide range of brdiges.