两种新单元在悬索桥有限元计算中的应用
Bridge Construction（2014）
Abstract
为实现索与鞍座间接触非线性计算,开发了可用于悬索桥有限元计算的2种新单元:鞍座单元和锚跨单元,其中鞍座单元用于主缆和塔顶鞍座的接触非线性计算,锚跨单元用于锚跨分散索股及边跨主缆与散索鞍的接触非线性计算.根据空间悬链线理论及索与鞍座的几何关系,推导出精确的单元节点力.以增量代替微分,根据刚度矩阵的定义,推导出单元的切线刚度矩阵.编制了包含2种新单元在内的悬索桥几何非线性有限元程序.计算表明:2种新单元计算精度高、收敛速度较快,解决了悬索桥索与鞍座间接触非线性的计算难题.
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Key words
saddle,main cable,saddle element,contact nonlinearity,anchor span element,finite element method,suspension bridge
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