Free vibration analysis of functionally graded double-beam system using Haar wavelet discretization method

Engineering Science and Technology, an International Journal

Poknam Han¹  Kwangil An²  Gwanghun Kim³  Hyonil Ri³  Yonguk Ri³  Dongson Choe⁴ 

[1] Corresponding author.;College of Ship and Ocean Technology, Kim Chaek University of Technology, Pyongyang 950003, Democratic People’s Republic of Korea;Department of Mechanical Engineering, Pyongyang University of Mechanical Engineering, Pyongyang, 999093, Democratic People’s Republic of Korea;Information Center, Kim Chaek University of Technology, Pyongyang 950003, Democratic People’s Republic of Korea;

关键词: Double-beam system;    Functionally graded beam;    Free vibration;    Haar wavelet method;    Elastic boundary condition;    Elastic connection;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, the free vibration characteristics of functionally graded double-beam system (FGDBS) elastically connected by an elastic layer with uniform elastic stiffness under arbitrary boundary conditions are investigated. It is assumption that the material distribution properties of the individual beams of FGDBS depends on different four-parameters. Timoshenko beam theory in which the effects of shear deformation and rotational inertia are considered is utilized to model the free vibration of FGDBS and displacement components can be obtained from the Haar wavelet series and their integral. Hamilton’s principle is applied to construct coupled governing equations and the virtual spring boundary technique is applied to generalize boundary conditions at four ends of FGDBS. The convergency and accuracy of the proposed method can be confirmed through the comparison results with previous literature and finite element method (FEM). A lot of new results have been proposed, such as the frequency characteristics of FGDBS under arbitrary boundary conditions which can be provided as reference data for future research.

【 授权许可】

Unknown