| The suspension bridge is the most beautiful, natural and economical bridge. So far, this type of bridge is a primary choice when a bridge over span 1000 meters is built. While large-span suspension bridges have been applied to new building of bridge, the small-span suspension bridges were replaced by other bridge types or have been deserted. The reasons why they leave people attention are that they have some obvious faults. For example, the bridge has large deformation, bad lateral stability and bad wind-resistant behavior under moving loads. The Stable Type Suspension Bridge (STSB) is a new type suspension bridge. It is result of improvement for Common Suspension Bridge (CSB) on structures. Inverse-tensional structures with cables and rods are added beneath CSB's floor. So the structures of CSB become the pretension structures and the bridge's stiffness increases. At the same time, the stability and wind-resistant behavior of the bridge is improved obviously.In the paper, differential equation system for STSB is researched. A set of plane static differential equation system with five unknown functions and five equations is obtained. Assume the poles are continuous film and use the principle of minimum potential energy we get the equation system. On the basis of Hamilton principle, a fourth order PDEs corresponding to vertical deformation is given. After simplifying for it, fourth order non-homogeneous non-linear ordinary differential equation is get. These equations are basis to study the bridge's mechanical properties. Meanwhile the PDEs of suspension bridge are driven. The PDEs because of having definite solution are better than other equations which are not definite solution. The theory in the paper is a significant improvement for old one.On the basis of operator theory, the analytical mechanics and elasticity is studied again in the paper. A simple and uniform mathematics system is set. This method setting the system provides a valuable way of studying plastic mechanics for us. |
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