Abstract
In this paper, we study a mathematical model for a one-dimensional suspension bridge problem with variable exponent nonlinear damping modulated by a time dependent coefficient. The model takes into consideration the vibration of the bridge deck in the vertical plane and main cable from which the bridge deck is suspended by the suspenders. We use the multiplier method to establish general energy decay results depending on both the range of the variable exponent functions and the time dependent coefficients. Our results substantially improve, extend, and generalize some earlier related results in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 610-622 |
| Number of pages | 13 |
| Journal | Evolution Equations and Control Theory |
| Volume | 14 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Aug 2025 |
Bibliographical note
Publisher Copyright:© 2025, American Institute of Mathematical Sciences. All rights reserved.
Keywords
- Suspension bridge
- coupled
- nonlinear damping
- stability
- time dependent
- variable exponent
ASJC Scopus subject areas
- Modeling and Simulation
- Control and Optimization
- Applied Mathematics