Nonlinear modeling and dynamic analysis of a vertical plate under inside bulk cargo and outside subsonic airflow

In this paper, the stability and nonlinear vibration of a vertical plate on the background of truck transportation are investigated under the interaction of bulk cargo and subsonic airflow. Factors such as cargo material, cargo height, air velocity and crushing force affecting the vibration characteristics of the plate are considered. The side pressure of the bulk cargo is described using the Coulomb earth pressure theory. The governing equations of the system are established and discretized by the hypothesis model method and the extended Hamilton principle. The stability of the plate is discussed by analyzing the variation of the natural frequencies with each parameter. The arc-length continuation algorithm was used to analyze the amplitude-frequency response of the first four generalized coordinates of the self-weight plate. From the results, rich dynamic responses are observed and discussed for the structural design optimization of the side wall or side door of the truck.