Nonlinear Analysis And Its Application Of In-plane Motion Of Suspension Cable Under Concentrated Load

Suspension cables have many virtues, such as lightweight, high strength of extension, slight damping and better flexibility, etc. Therefore they are widely used in such fields as engineering ropeways, bridge diagonal guys and transmission chains and so on. Meanwhile, suspension cables are also the simplified mechanical models for many actual engineering parts. Hence, the dynamic research of suspension cables has always been an important subject concerned by mechanics and engineering workers.Suspension cables have always been an important research subject in mechanics, however, because suspension cables have infinite freedom, when considering the nonlinear factors, in-plane and out-of-plane vibration will couple with each other, which will take on complex nonlinear dynamic behavior. As the wide use of stayed bridges in recent years, there are many researches on diagonal guy. But for track ropes of engineering ropeway, the nonlinear dynamic behavior is very complex because of concentrated load on track rope, and even more difficult if the kinematic velocity of track rope or concentrated load is concerned. Presently, only the static calculation is considered in the actual designing calculation of engineering ropeway, while the nonlinear dynamic behavior is still not under consideration.With the engineering ropeway as the research background, the in-plane nonlinear dynamic behavior of suspension cables under concentrated load has been studied and the engineering utility table of dynamic property of suspension cables has also been designed. The detailed research of the paper is as follows:The full paper is organized in eight chapters. The first chapter is introduction. Firstly, the research production in the field of suspension cables for many years has been presented detailedly; then the status quo of engineering ropeway is summarized and the research purpose and main content of this paper are introduced finally. Chapter 2 introduces the dimensionless gravity curve equation of suspension cables and deduces the calculation equation of the dimensionless allowance load and axial forces for suspension cables, which prepares for the following chapters. In chapter 3, through deducing from chord momentum equation, the 3D nonlinear dynamic equation of suspension cable is set up, as well as the plane nonlinear dynamic equation based on the static line of deflection of suspension cables,which provide...