The Study Of Nonlinear Vibration Properties In Parallel-plate Assemblies

Flow-induced vibration of parallel-plate assemblies, with a wide range ofapplications, is often encountered and need to be solved in many fields urgently. Inthis paper, pinned-pinned plates are selected as the main research subjects, the study ismainly on their dynamic properties and stability, and some useful rules andconclusions are obtained. The main works are as follows:1. The domestic and international researches in two different research topics, parallelplatestructures and pipes conveying fluid, are reviewed.2. For different vibration models, the vibration can be taken as linear or nonlinearvibration. Some basic concepts of vibration system are introduced:phase diagram,limit cycle,chaos,power spectrum and Poincare section.3. The vibration properties and stabilities of pinned-pinned plates in axial-flow arestudied. With theoretical study and Runge-Kutta numerical method, the vibrationproperties of linear system,nonlinear system,strong nonlinear system,and strongnonlinear system with damping are obtained and discussed. The characteristics inperiod,quasi-period,and chaos are studied with qualitative methods.4. For pinned-pinned plates in pulsating flow,the vibration properties and stabilitiesare studied. The results obtained with multi-scale theory show that the nonlinearstiffness can indirectly affect the vibration amplitude via phase difference, and that theamplitude is directly proportional to the mass ratio and flow velocity,and inverselyproportional to damping coefficient and plate length.