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Ball joint behavior in a double layer grid by dynamic model updating
Affiliation:1. Department of Civil Engineering, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran;2. Department of Civil Engineering, Shahid Bahonar University of Kerman, Kerman, Iran;1. Department of Optics and Optical Engineering, University of Science and Technology of China, Hefei 230026, China;2. Suncore Photovoltaic Technology Co., Ltd., Huainan 232001, China;1. Department of Mechanical Engineering, Sharif University of Technology, P.O. Box: 11155-9567, Tehran, Iran;2. Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA, USA;3. Department of Electrical Engineering, Sharif University of Technology, P.O. Box: 11155-9567, Tehran, Iran
Abstract:Owing to uncertainties occurring in double layer grids with ball joint system during assembly and erection stages, the behavior of a separate ball joint does not represent the actual behavior of the joint in the structure. In the present work, the behavior of a ball joint system under actual conditions in a double layer grid has been determined by means of the inverse problem method. A double layer grid with ball joint system was constructed from the components which are generally utilized in practice. Modal testing was carried out on the grid in free support condition and its frequency response functions were measured at appropriate degrees of freedom. Frequencies of twelve vibration modes of the grid were experimentally obtained in the frequency range of 0–100 Hz. A suitable finite element model of the grid was prepared in which the behavior of the jointing system was modeled with an equivalent beam element at the end of each member. By performing finite element model updating for the grid via minimizing the differences between eight experimental and analytical natural frequencies, geometric section properties of the equivalent beam element were determined. The updated model presented very good estimates of the actual twelve natural frequencies of the grid and analytical frequency response functions from the updated model were in agreement with those obtained from the experiment. Using only natural frequencies of the grid, a reasonably accurate updated model was obtained.
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