Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2017; 54(3): 945-966

Online first article April 7, 2017      Printed May 1, 2017

https://doi.org/10.4134/JKMS.j160317

Copyright © The Korean Mathematical Society.

Shallow arches with weak and strong damping

Semion Gutman and Junhong Ha

University of Oklahoma, Korea University of Technology and Education

Abstract

Go to

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

MSC numbers: 37L05, 35B40, 35Q74

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS

more +