基于模态坐标变换梁分布动载荷识别技术
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南京航空航天大学机械结构力学及控制国家重点实验室,南京210016

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TN911.4

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Technology in identification of distributed load for beam model based on model coordinate transform
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State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics, Nanjing 210016,China

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    摘要:

    针对工程结构中的BernoulliEuler梁结构,基于模态坐标变换理论,将待识别的分布动载荷利用固有振型函数在模态空间内进行分解,建立分布动载荷的各阶时间函数系数与各阶模态激励的线性关系。频域内,根据模态理论由梁上测点响应利用Tikhonov正则化方法识别出梁的各阶模态坐标响应(正则化参数由L曲线法确定),从而识别出各阶模态激励,得到分布动载荷的各阶时间函数系数,还原BernoulliEuler梁结构上承受的分布动载荷。本文动载荷识别理论适用于不同的分布动载荷类型,通过计算机仿真,验证了该方法的通用性和较高的识别精度。仿真过程中加入随机噪声,识别结果证明了该方法具有良好的抗噪能力,有效提高了载荷识别的信噪比。

    Abstract:

    Based on the model coordinate transformation theory, the distributed load to be identified on BernoulliEuler beam structure in engineering structures can be decomposited in model space with natural modes of vibration to establish the liner relationship between each order time function coefficient of the distributed load and each order modal excitation. In frequency domain, based on the modal theory each order modal coordinate response of the beam can be identified from the response date of the measuring points on the beam with the Tikhonov regularization method (regularization parameters are determined by the Lcurve method ). Then each order modal excitation and time function coefficient of the distributed load can be identified to rebuild the distributed load on Bernoulli Euler beam structure. The load identification theory proposed in the paper is applicable to all types of loads. The computation simulations show the the universality of the theory and the excellent identification accuracy. Joined random noise, the simulation process shows that the method presented is not sensitive to the measureddatenoise, exhibiting well signaltonoise in load identificantion.

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姜鑫,张方,姜金辉.基于模态坐标变换梁分布动载荷识别技术[J].国外电子测量技术,2016,35(2):90-93

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  • 在线发布日期: 2016-03-16
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