Analysis Of Vibration Characteristics And Experimental Study Of Cantilever Beam Under Nonlinear Shock Absorber Based On Average Method

The theory of nonlinear vibration and physical,mathematics and other disciplines are closely linked,while it is weapons,vehicles,aerospace,construction and other practical application of the important content and difficulties.With the continuous development of nonlinear vibration and other disciplines and technologies,it has greatly promoted the progress of related engineering technology.Cantilever beam as a typical bearing structure,which in engineering practice has been more and more widely used.However,the cantilever beam under the action of external load,such as strong winds,there will be vibration phenomenon,the structural strength of the cantilever beam adversely affected.In engineering application,how to reduce the nonlinear vibration of cantilever beam is a difficult problem,so it is very important to study the nonlinear vibration of cantilever beam.The main part of this paper is to simulate the cantilever beam in four cases,that is,to simulate and analyze the cantilever beam with external load at the free end,and to simulate the cantilever beam The dynamic modeling of the cantilever beam under the action of the nonlinear damper is carried out.The dynamic modeling and analysis of the cantilever beam acting on the free end of the excitation and nonlinear shock absorber are carried out.In this case,the vibration differential equation of the cantilever beam acting on the free end of the excitation and nonlinear shock absorber is solved by the average method when the damper is placed closer to the boundary when the beam is close to the boundary.And the time history,phase diagram,spectrum diagram and Poincare map of cantilever vibration under the action of shock absorber are obtained by matlab.Through the correlation analysis of the vibration images of the cantilever beam under the action of the nonlinear shock absorber,the vibration characteristics can be obtained.The main content of the second part of this paper is to compare and analyze the results obtained by the simulation results with the results obtained by the existing experiments to obtain the effect of the nonlinear shock absorber on the vibration of the cantilever beam that the nonlinear shock absorber can suppress the cantilever beam vibrations.