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Review of the dynamic stiffness method for free-vibration analysis of beams

Transportation Safety and Environment 2019年第2期1卷 106-116页

作者： J.R.Banerjee Department of Mechanical Engineering and Aeronautics School of MathematicsComputer Science and EngineeringCityUniversity of LondonLondonEC1V 0HBUnited Kingdom

The application of the dynamic stiffness method(DSM)for free-vibration analysis of beams is surveyed in this *** historical development of the DSM,which has taken place in several stages,is discussed in detail with reference to the free-vibration problems of *** particular,the suitability of the DSM in solving the free-vibration problems of beams through the application of the well-known Wittrick–Williams algorithm as a solution technique is *** literature concerning homogeneous isotropic metallic beams,for which the DSM is well established,is reviewed first,after which,with the rapid and ongoing emergence of advanced composite materials,the development of the DSM in solving the free-vibration problems of anisotropic beams is *** free-vibration analysis of functionally graded beams using the DSM is also *** survey covers the DSM application for free-vibration analysis of a wide range of beams,including sandwich beams,rotating beams,twisted beams,moving beams and bending-torsion coupled beams,amongst *** aspects of the contributions made by the author and his research team are also ***,the future potential of the DSM in solving complex engineering problems is projected.

关键词： dynamic stiffness method Wittrick-Williams algorithm free-vibration analysis

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Stability Analysis of a Heterogeneous Periodic Fluid-Conveying Nanotube System

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Acta Mechanica Solida Sinica 2020年第6期33卷 756-769页

作者： Jiayin Dai Yongshou Liu Guojun Tong Department of Engineering Mechanics Northwestern Polytechnical UniversityXi’an 710129China

In this paper,the stability of a periodic heterogeneous nanotube conveying fluid is *** governing equations of the nanotube system are derived based on the nonlocal Euler-Bernoulli beam *** dynamic stiffness method is employed to analyze the natural frequencies and critical flow velocities of the *** results and discussions are presented from three aspects which reveal the influences of period number,material length ratio and boundary *** particular,we make comparisons between the heterogeneous nanotubes with periodic structure and the homogeneous ones with the same integral values of material properties along the longitudinal direction to isolate the influences of periodic *** to the simulation results,we can conclude that with a proper selection of period number in terms of length ratio,the stability of the constructed nanotube can be improved.

关键词： Heterogeneous nanotube dynamic stiffness method Periodic structure Nanotube conveying fluid Stability analysis

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dynamic stiffness for thin-walled structures by power series

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2006年第8期7卷 1351-1357页

作者： ZHU Bin LEUNG A.Y.T. Department of Civil Engineering Zhejiang University Hangzhou 310027 China Department of Building and Construction City University of Hong Kong Hong Kong China

The dynamic stiffness method is introduced to analyze thin-walled structures including thin-walled straight beams and spatial twisted helix beam. A dynamic stiffness matrix is formed by using frequency dependent shape functions which are exact solutions of the governing differential equations. With the obtained thin-walled beam dynamic stiffness matrices, the thin-walled frame dynamic stiffness matrix can also be formulated by satisfying the required displacements compatibility and forces equilib-rium, a method which is similar to the finite element method (FEM). Then the thin-walled structure natural frequencies can be found by equating the determinant of the system dynamic stiffness matrix to zero. By this way, just one element and several elements can exactly predict many modes of a thin-walled beam and a spatial thin-walled frame, respectively. Several cases are studied and the results are compared with the existing solutions of other methods. The natural frequencies and buckling loads of these thin-walled structures are computed.

关键词： dynamic stiffness method Thin-wall structures Power series Buckling

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Crack identification in functionally graded material framed structures using stationary wavelet transform and neural network

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2021年第8期22卷 657-671页

作者： Nguyen Tien KHIEM Tran Van LIEN Ngo Trong DUC Institute of Mechanics Vietnam Academy of Science and TechnologyHanoi 10072Vietnam Faculty of Building and Industrial Construction National University of Civil EngineeringHanoi 11600Vietnam Fujita Corporation Hanoi 11000Vietnam

In this paper,an integrated procedure is proposed to identify cracks in a portal framed structure made of functionally graded material(FGM)using stationary wavelet transform(SWT)and neural network(NN).Material properties of the structure vary along the thickness of beam elements by the power law of volumn *** are assumed to be open and are modeled by double massless springs with stiffness calculated from their *** dynamic stiffness method(DSM)is developed to calculate the mode shapes of a cracked frame structure based on shape functions obtained as a general solution of vibration in multiple cracked FGM Timoshenko *** SWT of mode shapes is examined for localization of potential cracks in the frame structure and utilized as the input data of NN for crack depth *** integrated procedure proposed is shown to be very effective for accurately assessing crack locations and depths in FGM structures,even with noisy measured mode shapes and a limited amount of measured data.

关键词： Crack identification Functionally graded material(FGM) Neural network(NN) Stationary wavelet transform(SWT) dynamic stiffness method

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