Introduction

Models of suspension bridges are developed and investigated for a long time. There exist several complicated and less complex mathematical models and their corresponding studies. In any case, we can distinguish between two main approaches. The first one is based on the study of the initial boundary value problems for a complex system of partial differential equations that describes a suspension bridge in the most reliable way. The second approach consists in investigating periodic solutions of more simpler models in the form of a boundary value problems. Let us note that in spite of the relative simplicity of such mathematical models, the complete description of the structure of their solutions seems to remain still open.

Figure: Sketch of several famous suspension bridges.

References