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.
关键词
振动与波/人工弹簧/欧拉梁/任意边界/改进的傅里叶级数
Key words
vibration and wave/artificial spring technique/Euler beam/arbitrary boundary conditions/improved Fou-rier series
维普
万方数据