科研之友
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摘要
To realize the calculation of contact nonlinearity between the main cable and saddles, two new elements, the saddle element and anchor span element that can be applied to the finite element calculation of suspension bridge, have been developed. Of the two new elements, the saddle element is applicable to the calculation of contact nonlinearity between the main cable and tower saddle while the anchor span element is applicable to the calculation of contact nonlinearity between the anchor span splay main cable strands, the side span main cable and splay saddle. In accordance with the spatial catenary theory and the geometric relation between the main cable and saddles, the accurate element nodal forces are deduced. At the same time, by substituting the differential with the increment, the element tangent stiffness matrix is deduced, depending on the definition of the stiffness matrix. A calculation program including the two new elements that can satisfy the geometric nonlinear analysis of suspension bridge is complied. The application of the new elements to the calculation shows that the elements have high calculation accuracy, rapid convergence rate and the calculation problem of contact nonlinearity between the main cable and saddles of suspension bridge has hence been resolved.
