A MATHEMATICAL MODEL FOR SUSPENSION BRIDGES WITH ENERGY DEPENDENT BOUNDARY CONDITIONS

作者：Wang Yongda^*

来源：Electronic Journal of Differential Equations, 2015, 174.

• Higher order equation
• suspension bridge
• energy dependent boundary conditions

We suggest a new mathematical model for dynamical suspension bridge with energy dependent boundary conditions. The roadway of the bridge is viewed as a long-narrow thin rectangular plate. After reducing the evolution problem corresponding to the model to a variational problem, we show that the original evolution problem admits a unique solution. Moreover, the unique solution is explicitly represented.

• 出版日期2015-6-23