Small-amplitude nonlinear periodic oscillations in a suspension bridge system

Abstract

Abstract This paper deals with a coupled nonlinear beam-wave system, proposed by Lazer and McKenna, modeling a suspension bridge. By constructing a suitable Nash–Moser-type iteration scheme, the existence of small-amplitude nonlinear periodic oscillations, i.e., the existence of small-amplitude periodic solutions for the suspension bridge system, is obtained, and so is their local uniqueness.

Keywords

• Suspension bridge system
• Small divisors
• Nash–Moser iteration scheme