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Haar wavelet discretization method for free vibration study of laminated composite beam under generalized boundary conditions

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Journal of Ocean Engineering and Science 2021年第1期6卷 1-11页

作者： Sung-Ryol So hoyong yun Yongho Ri Ryongsik O Yong-Il yun Institute of Advanced Science Kim Il Sung UniversityPyongyangDemocratic People’s Republic of Korea Institute of Science Kimchaek University of TechnologyPyongyangDemocratic People’s Republic of Korea Department of Engineering Machine Pyongyang University of Mechanical EngineeringPyongyangDemocratic People’s Republic of Korea Department of Transport Mechanical Engineering Pyongyang University of Mechanical EngineeringPyongyangDemocratic People’s Republic of Korea

Investigation on vibration of laminated composite beam(LCB)is an important issue owing to its wide use as fundamental *** the present work,we study the free vibration of arbitrarily LCB with generalized elastic boundary condition(BC)by using Haar wavelet discretization method(HWDM).Timoshenko beam theory is utilized to model the free vibration of *** LCB is first split into several segments,and then the displacement for each segment is obtained from the Haar wavelet series and their ***’s principle is applied to construct governing equations and the artificial spring boundary technique is adopted to obtain the general elastic boundary and continuity conditions at two ends of *** vibration characteristics of beam with different fiber orientations and lamina numbers is investigated and its displacements are compared with those in previous *** results are shown graphically and demonstrate the validation of our method.

关键词： Laminated beam Haar wavelet discretization method Elastic boundary condition Free vibration Artificial spring boundary technique

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A unified solution method for free vibration analysis of functionally graded rotating type plates with elastic boundary condition

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Journal of Ocean Engineering and Science 2021年第2期6卷 109-127页

作者： Poknam Han Gangchol Li Kwanghun Kim Kwangil An hoyong yun Technology College of Ship and Ocean Technology Kim Chaek University of TechnologyPyongyang 950003Democratic People’s Republic of Korea Department of Light Industry Machinery Engineering Pyongyang University of Mechanical EngineeringPyongyang 999093Democratic People’s Republic of Korea Department of Mechanical Engineering Pyongyang University of Mechanical EngineeringPyongyang999093Democratic People’s Republic of Korea Information Center Kim Chaek University of TechnologyPyongyang 950003Democratic People’s Republic of Korea

In this paper,a unified solution method for analyzing the free vibration characteristics of functionally graded rotating type plate(FGRTP)of which the distribution of material is defined by four parameters is *** is assumed that the considered functionally graded materials(FGM)are distributed in the thickness direction according to four *** displacement fields of any point on the FGRTP are determined by the first order shear deformation theory(FSDT),and all displacement functions are extended by ultraspherical *** applying the Ritz method to the energy function of the whole system,the constitutive equation of FGRTP is obtained and the natural frequencies are obtained by solving the eigenvalue *** boundary conditions are generalized to arbitrary boundary conditions by artificial elastic *** accuracy of the proposed method is verified by comparing with the previous *** effects of different parameters on the free vibration characteristics of FGRTP are studied through some numerical examples.

关键词： Functionally graded rotating-type plate Free vibration Unified solution method Numerical analysis

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