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Analytical element method on the calculation of three-dimensional cable supported structures |
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DOI:10.7511/jslx20084112 |
KeyWord:analytical element method,suspension bridges,configuration,finite element method |
TAN Yong-gang ZHANG Zhe |
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Abstract: |
Provided that three-dimensional cable-supported structures were particles system with tension stiffness,primary equilibrium equations of these particles could be established,and these equations could be solved by numerical method.Relationships between the inner forces of elements and the change of their coordinates were obtained by analytical method.Therefore the method is named as analytical element method.Particles system equations,which reflecting the properties of cable structures,were solved by iterative method of force equilibrium.Changeable steps are applied automatically in the iterative calculation,so that the process is efficient and the results are convergent.Geometrical nonlinearity and material nonlinearity were both taken into account in this method.Compared with finite element method,no linear equations are obliged to solve in this method,so this method is more adaptable in calculating geometrical transformable structures,whereas the solutions of this kind of problems is often not convergent by finite element method. |
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