基于连续折线索单元的树状结构找形研究
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摘要
在树状结构各种力学性能研究中,找形分析是十分重要的.在研究以往树状结构找形过程的基础上,以减小杆件内的单元弯矩为目的,提出将连续折线索单元应用于树状结构找形的方法,给出一般操作步骤,并通过试验对该方法进行验证.经过内力分析比较,得到该方法能够有效减小单元弯矩、结果较理想的结论,同时该方法具有操作简便、无需编程迭代、耗时较短的优势.对找形后的结果进行优化,可以进一步减小单元弯矩.分析分级节点位置变化对找形结果的影响,总结规律,为今后树状结构工程的设计应用提供了一定的参考.
Form-finding is very important in the researches on the mechanical behavior of tree structures. Based on the researches of other form-finding methods of tree structures,a new form-finding method was proposed. Sliding cable element was used for simulation in order to reduce element bending moments,the general steps were given,and then a test was carried out to verify the proposed method. The conclusion was drawn from the internal force comparison that this method can effectively reduce element bending moments and the result is ideal. This method also shows such advantages as easy operation,no iteration or programming and very short consuming time. By optimizing the result with form-finding,this method can further reduce unit bending moments. By analyzing the effect of classification joint position changes on the result of form-finding and summarizing the rule,this method has the significance in engineering applications and provides some references for the analysis and design of tree structures.
引文
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