Asymptotic stability for a non-autonomous full von Kármán beam with thermo-viscoelastic damping

Abstract

In this paper, we study the asymptotic behavior for a one-dimensional non-autonomous full von Kármán beam with a thermo-viscoelastic damping in the internal feedback. By introducing a suitable energy and some Lyapunov functionals, under some restrictions on the non-autonomous functions and the relaxation function, we show the asymptotic behavior of the solution and establish a general decay result for the energy.

Keywords:

• Full von Kármán beam
• asymptotic stability
• non-autonomous functions
• thermo-viscoelastic damping

AMS Subject Classifications:

• 35B40
• 35L55
• 74D05

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 11301277]; the Natural Science Foundation of Jiangsu Province [grant number BK20151523]; the Six Talent Peaks Project in Jiangsu Province [grant number 2015-XCL-020]; the Qing Lan Project of Jiangsu Province. .