Simulation of Vibration Characteristics of Elastic Boundary Beams and Study on Adaptability of Artificial Spring Stiffness
Boundary conditions are important conditions for solving and analyzing the vibration characteristics of beams,plates,and shell structures.Simulating arbitrary boundary conditions based on the vibration equation of elastic boundary beams is a hot spot in current research,and it is also of greater significance for the dynamic analysis of beams.Based on the energy method and using artificial spring technology,this paper constructed a dynamic model of the Euler beam structure under arbitrary boundary conditions.The improved Fourier series was selected as the displacement allowable function of the beam structure and solved by the Rayleigh Ritz method to obtain the vibration characteristics of the Euler beam structure.The accuracy of the method was verified by comparing the results with the calculation results from the finite element code ANSYS.On this basis,the corresponding relationship between the artificial spring stiffness and the structural stiffness was studied,a reasonable value of the artificial spring stiffness was suggested,and the reasonable match of the spring stiffness and structural stiffness was obtained.
vibration and waveartificial spring techniqueEuler beamarbitrary boundary conditionsimproved Fou-rier series
万方数据
维普
