This paper provides new formulations to derive the impulse response matrix, which is then used in the problem of load identification with application to wind induced vibration. The applied loads are inversely identified based on the measured structural responses by solving the associated discrete ill-posed problem. To this end — based on an existing parametric structural model — the impulse response functions of acceleration, velocity and displacement have been computed. Time discretization of convolution integral has been implemented according to an existing and a newly proposed procedure, which differ in the numerical integration methods. The former was evaluated based on a constant rectangular approximation of the sampled data and impulse response function in a number of steps corresponding to the sampling rate, while the latter interpolates the sampled data in an arbitrary number of sub-steps and then integrates over the sub-steps and steps. The identification procedure was implemented for a simulation example as well as an experimental laboratory case. The ill-conditioning of the impulse response matrix made it necessary to use Tikhonov regularization to recover the applied force from noise polluted measured response. The optimal regularization parameter has been obtained by L-curve and GCV method. The results of simulation represent good agreement between identified and measured force. In the experiments the identification results based on the measured displacement as well as acceleration are provided. Further it is shown that the accuracy of experimentally identified load depends on the sensitivity of measurement instruments over the different frequency ranges.

中文翻译：

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通过响应测量推导用于节点风荷载识别的新参数脉冲响应矩阵

本文提供了推导脉冲响应矩阵的新公式，然后将其用于解决风致振动的载荷识别问题。通过解决相关的离散不适定问题，基于测量的结构响应反向识别施加的载荷。为此，基于现有的参数化结构模型，计算了加速度、速度和位移的脉冲响应函数。卷积积分的时间离散化是根据现有的和新提出的程序实现的，它们的数值积分方法不同。前者是基于采样数据的恒定矩形近似值和脉冲响应函数在与采样率相对应的多个步骤中进行评估的，而后者在任意数量的子步骤中插入采样数据，然后在子步骤和步骤上进行积分。识别程序是针对模拟示例和实验实验室案例实施的。脉冲响应矩阵的病态使得必须使用 Tikhonov 正则化从噪声污染的测量响应中恢复施加的力。通过L曲线和GCV方法得到了最优的正则化参数。模拟结果表明识别力和测量力之间具有良好的一致性。在实验中，提供了基于测量位移和加速度的识别结果。