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SHALLOW ARCHES WITH WEAK AND STRONG DAMPING

  • Gutman, Semion ;
  • Ha, Junhong
  • Received : 2016.05.03
  • Published : 2017.05.01

Abstract

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.

Keywords

shallow arch equation;strong damping;regularization of solutions

References

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Acknowledgement

Supported by : National Research Foundation of Korea(NRF)