时域自适应算法求解移动荷载下梁的多宗量反问题

Identification of multi-variables in a beam subjected to moving loads via a self-adaptive precise algorithm in time domain

通过一种时域自适应算法,建立了求解变速移动荷载下梁的多宗量反问题的数值模型,可同时识别移动荷载和梁的物性参数。正问题采用时域自适应算法和FEM建模,并可由此方便地推导敏度公式;在反问题求解中采用Levenberg-Marquardt法,计算表明该方法具有较好的抗不适定性。通过两个算例,对所提算法进行了数值验证,并探讨了噪声和测点的变化对反演结果的影响,结果令人满意。

A numerical model is presented to identify constitutive parameters for a simply supported beam subjected a moving load. An adaptive scribe the direct problem, and sensiti pre vity cise algorithm in the time domain and FEM are employed to deanalysis can therefore be implemented conveniently. The Levenberg-Marquardt algorithm is utilized to solve the inverse problem, and the combined identification of elastic modulus and damping coefficients is realized. Two numerical examples are provided to verify the proposed model, and satisfactory results are achieved. The measurement noise is taken into account.