Rectangular Thin Plate Modal With Finite-difference Simulation Analysis And Experimental Study

Nowadays,a lot of aerospace structures gradually move toward large-scale,lightweight and flexible.With this trend,the thickness of structure becomes smaller and smaller.Also,the research and analysis of a thin-walled structure appears more and more important.Mirror milling is a new way of processing.By milling equipment-plate-supports layout,process thin wall plate.In this new form,the constrained form of thin plate became an issue of concern.In this paper,the modal of the thin plate is studied to explain the problem.Based on the plate differential equations,using a center five-point difference form,analyses the modal of rectangular thin-wall aluminum plate by numerical simulation,which involves five different boundary conditions,five kinds of different thickness,with or without support and eight elastic point support position,five different support stiffness and other factors.Analyses changes of rectangular plate natural frequency and modal under the influence of different factors,some rules and conclusions were drawn.The influence of boundary is the largest,the thickness is the biggest influence on the natural frequency,and surface support constraint makes the sheet plate natural frequency increasing.Thought force measuring method using vibrator's frequency sweep modal for rectangular thin-walled aluminum do single-factor test.The conditions of opposite boundary clamped supported and opposite boundary simply supported,opposite boundary clamped supported and others free and opposite boundary clamped supported and opposite boundary elastic supported were analyzed and modal parameters were investigated in this paper.The experimental modal and numerical simulation are compared and verified.The error is within reasonable limits.The results show that the simulation results are credible.Through the above research,we can draw a conclusion that the optimal design of the thin plate processing,and the conclusion of the above research has certain guiding significance to the design of the clamping and supporting method in the mirror milling equipment.