• Gutman, Semion (Department of Mathematics, University of Oklahoma) ;
  • Ha, Junhong (School of Liberal Arts, Korea University of Technology and Education)
  • Received : 2016.05.03
  • Published : 2017.05.01


The paper develops a rigorous mathematical framework for the behavior of arch and membrane like structures. Our main goal is to incorporate moving point loads. Both the weak and the strong damping cases are considered. First, we prove the existence and the uniqueness of the solutions. Then it is shown that the solution in the weak damping case is the limit of the strong damping solutions, as the strong damping vanishes. The theory is applied to a car moving on a bridge.


shallow arch equation;strong damping;regularization of solutions


Supported by : National Research Foundation of Korea(NRF)


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