Uniform attractor of shallow arch motion under moving points load

作者：Gutman Semion; Ha Junhong^*

来源：Journal of Mathematical Analysis and Applications, 2018, 464(1): 557-579.

DOI：10.1016/j.jmaa.2018.04.025

• Shallow arch equation
• Strong damping
• Uniform attractor
• Almost periodic function
• Measure of noncompactness

We study the long time behavior of arches and membrane-like structures in the strong damping case. Our main goal is to incorporate moving points load, and to establish the existence of a non-empty, compact, uniform attractor for the associated semi-flows. The existence of such an attractor is established for almost periodic forcing terms. The method employs Kuratowski's measure of non-compactness. The presentation is mostly self-contained. Examples simulating a vehicular traffic across a long bridge are considered.

• 出版日期2018-8-1