Abstract: Laminated flat-screen is widely used in shale shaker, study of the influence of the structural parameters and installation parameters of the shale shaker to the free vibration of the screen can provide the basis for the design and employment of the shale shaker and screen. Elastic support multi-span continuous unidirectional rectangular plate model which is simplified by using the bolt tightening method of the screen installation model is proposed, and regardless of the structure of the nonlinear characteristics of the screen. The whole screen is divided into k+1 pieces small rectangular plates by the rubber support. Based on the elastic rectangular plate vibration theory, the free vibration equation on each piece of small rectangular plates are established, the continuity conditions of small rectangular plates between each span are put forward, the transfer function of the entire screen by using the transfer matrix method is derived, and get the free vibration frequency equation of screen according to the boundary conditions. Numerical solution for free vibration characteristic equation is conducted on a version of flat-screen to obtain the natural frequency with different magnitude of bolt preload and different numbers and stiffness of rubber support bar. Date analysis shows that these three parameters are positively correlated with the natural frequency of the screen, and have effects on each other.

Key words: continuous rectangular plate, flat-screen, free vibration, transfer matrix