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Numerical study on butterfly wings around inclusion based on damage evolution and semi-analytical method

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Friction 2022年第9期10卷 1335-1352页

作者： Ye ZHOU Caichao ZHU Xiaojin CHEN Wei YE State Key Laboratory of Mechanical Transmissions Chongqing UniversityChongqing 400030China College of Aerospace Engineering Chongqing UniversityChongqing 400044China Chongqing Wangjiang Industrial Co. Chongqing 400071China

Butterfly wings are closely related to the premature failure of rolling element *** this study,butterfly formation is investigated using the developed semi-analytical three-dimensional(3D)contact model incorporating inclusion and material property *** 3D elastic field introduced by inhomogeneous inclusion is solved by using numerical approaches,which include the equivalent inclusion method(EIM)and the conjugate gradient method(CGM).The accumulation of fatigue damage surrounding inclusions is described using continuum damage *** coupling between the development of the damaged zone and the stress field is *** effects of the inclusion properties on the contact status and butterfly formation are discussed in *** model provides a potential method for quantifying material defects and fatigue behavior in terms of the deterioration of material properties.

关键词： contact fatigue butterfly wings semi-analytical method damage evolution

A NOVEL semi-analytical method FOR SOLVING ACOUSTIC RADIATION FROM LONGITUDINALLY STIFFENED INFINITE NON-CIRCULAR CYLINDRICAL SHELLS IN WATER

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Acta Mechanica Solida Sinica 2005年第1期18卷 1-12页

作者： XiangYu HuangYuying DepartmentofAutomotiveEngineering GuangxiUniversityofTechnologyLiuzhou545006China CollegeofCivilEngineeringandMechanics HuazhongUniversityofScienceandTechnologyWuhan430074China

Based on the extended homogeneous capacity high precision integration method and the spectrum method of virtual boundary with a complex radius vector, a novel semi-analytical method, which has satisfactory computation efectiveness and precision, is presented for solving the acoustic radiation from a submerged infnite non-circular cylindrical shell stifened by longitudinal ribs by means of the Fourier integral transformation and stationary phase method. In this work, besides the normal interacting force, which is commonly adopted by some researchers, the other interacting forces and moments between the longitudinal ribs and the non-circular cylindrical shell are considered at the same time. The efects of the number and the size of the cross-section of longitudinal ribs on the characteristics of acoustic radiation are investigated. Numerical results show that the method proposed is more efcient than the existing mixed FE-BE method.

关键词： sound-structure interaction stifened non-circular cylindrical shell vibration and acoustic radiation semi-analytical method transfer matrix method

A semi-analytical method for forced vibration analysis of cracked laminated composite beam with general boundary condition

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Journal of Ocean Engineering and Science 2021年第1期6卷 40-53页

作者： Sok Kim Kwanghun Kim Myongchol Ri Yongsong Paek Choljun Kim Department of Information Engineering Chongjin Mine&Metal UniversityChongjin 999091Democratic People’s Republic of Korea Department of Engineering Machine Pyongyang University of Mechanical EngineeringPyongyang 999093Democratic People’s Republic of Korea Institute of Science Pyongyang University of Mechanical EngineeringPyongyang 999093Democratic People’s Republic of Korea Department of Resources Development Mechanical Engineering Pyongyang University of Mechanical EngineeringPyongyang 999093Democratic People’s Republic of Korea

In this paper,a semi-analytical method for the forced vibration analysis of cracked laminated composite beam(CLCB)is *** computational model is formulated by Timoshenko beam theory and its dynamic solution is solved using the Jacobi-Ritz *** boundary conditions(BCs)at both ends of the CLCB are generalized by the application of artificial elastic springs,the CLCB is separated into two elements along the crack,the flexibility coefficient of fracture theory is used to model the essential continuous condition of the connective *** the allowable displacement functions used to analyze dynamic characteristics of CLCB are expressed by classical Jacobi orthogonal polynomials in a more general *** accuracy of the proposed method is verified through the compare with results of the finite element method(software ABAQUS is used in this paper).On this basis,the parametric study for dynamic analysis characteristics of CLCB is performed to provide reference datum for engineers.

关键词： semi-analytical method Cracked laminated composite beam(CLCB) Dynamic analysis General boundary condition Numerical analysis

Nonlinear dynamic response and buckling of laminated cylindrical shells with axial shallow groove based on a semi-analytical method

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Journal of Shanghai University(English Edition) 2007年第3期11卷 223-228页

作者：王天霖唐文勇张圣坤 School of Naval Architecture Ocean and Civil Engineering Shanghai Jiaotong University Shanghai 200030 P. R. China

The effect of axial shallow groove on the nonlinear dynamic response and buckling of laminated cylindrical shells subjected to radial compression loading was investigated. Based on the first-order shear deformation theory （FSDT）, the nonlinear dynamic equations involving the transverse shear deformation and initial geometric imperfections were derived with the Hamilton philosophy. The axial shallow groove of the laminated composite cylindrical shell was treated as the initial geometric imperfections in the dynamic equations. A semi-analytical method of expanding displacements and loads along the circumferential direction and employing the finite difference method along the axial direction and in the time domain is used to solve the governing equations and obtain the dynamic response of the laminated shell. The B-R criterion was employed to determine the critical loads of dynamic buckling of the shell. The effects of the parameters of the shallow groove on the dynamic response and buckling were discussed in this paper and the results show that the axial shallow grooves greatly affect the dynamic response and buckling.

关键词： cylindrical shell dynamic response dynamic buckling semi-analytical method shallow groove

semi-analytical AND semi-NUMERICAL method FOR DYNAMIC ANALYSIS OF FOUNDATION

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Applied Mathematics and Mechanics(English Edition) 2006年第5期27卷 607-615页

作者：龚文惠谢洪阳王元汉 School of Civil Engineering and Mechanics Huazhong University of Science and TechnologyWuhan 430074P. R. China

A semi-analytical and semi-numerical method is proposed for the dynamic analysis of foundations. The Lamb＇s solution and the approximate formulae were used to establish the relation of the contact force and deflection between the foundation and soil. Therefore, the foundation can be separated from soil and analyzed by FEM as for the static cases. The plate can be treated as that the known forces are acting on the upper surface, and the contact pressure from soil can be represented as the deflection. So that only the plate needs to be divided into elements in the analysis. By this method, a series of vibration problems, including various shapes and rigidities of foundations, different excitation frequencies, were analyzed. Furthermore, it can be used for the embedded foundation. The numerical examples show that this method has simplicity, highly accurate and versatile. It is an effective method for the dynamic analysis of foundations.

关键词： dynamic analysis of foundation foundation plate frequency semi-analytical method finite element method

A Numerical-analytical method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer

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Advances in Applied Mathematics and Mechanics 2022年第3期14卷 666-702页

作者： Ji Lin Sergiy Reutskiy Wenjie Feng Key Laboratory of Coastal Disaster and Defence(Ministry of Education) Hohai UniversityNanjingJiangsu 210098China State Key Laboratory of Acoustic Institute of AcousticsChinese Academy of SciencesBeijing 100190China State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures Shijiazhuang Tiedao UniversityShijiazhuangHebei 050043China State Institution"Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine" Industrialnaya St.1961106KharkovUkraine

The aim of this paper is to present the backward substitution method for solving a class of fractional dual-phase-lag models of heat *** proposed method is based on the Fourier series expansion along the spatial coordinate over the orthonormal basis formed by the eigenfunctions of the corresponding Sturm-Liouville *** Fourier expansion of the solution transforms the original fractional par-tial differential equation into a sequence of multi-term fractional ordinary differential *** fractional equations are solved by the use of the backward substi-tution *** numerical examples with temperature-jump boundary condition and parameters of the tissue conﬁrm the high accuracy and efﬁciency of the proposed numerical scheme.

关键词： Heat transfer dual-phase-lag model fractional partial differential equation semi-analytical method

NONLINEAR FREE SURFACE ACTION WITH AN ARRAY OF VERTICAL CYLINDERS

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Acta Mechanica Sinica 2004年第3期20卷 247-262页

作者： HUANG J.B. Department of Engineering Science University of OxfordUK

Nonlinear diffraction of regular waves by an array of bottom-seated circular cylindersis investigated in frequency domain,based on a Stokes expansion approach.A complete semi-analyticalsolution is developed which allows an efficient evaluation of the second-order potentials in the entirefluid domain,and the wave forces on the *** are derived for the second-orderpotential in the vicinity of individual *** expressions have a simple form,thus providingan effective means for investigating the wave enhancement due to nonlinear interactions with *** on the present method,the wave run-up and free-surface elevations around an arrayof two,three and four cylinders are investigated numerically.

关键词： nonlinear wave diffraction water waves frequency analysis semi-analytical method

Hydrodynamic Analysis and Shape Optimization for Vertical Axisymmetric Wave Energy Converters

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China Ocean Engineering 2016年第6期30卷 954-966页

作者：张万超刘恒序张亮张学伟 College of Shipbuilding Engineering Harbin Engineering University

The absorber is known to be vertical axisymmetric for a single-point wave energy converter （WEC）. The shape of the wetted surface usually has a great influence on the absorber＇s hydrodynamic characteristics which are closely linked with the wave power conversion ability. For complex wetted surface, the hydrodynamic coefficients have been predicted traditionally by hydrodynamic software based on the BEM. However, for a systematic study of various parameters and geometries, they are too multifarious to generate so many models and data grids. This paper examines a semi-analytical method of decomposing the complex axisyrnmetric boundary into several ring-shaped and stepped surfaces based on the boundary discretization method （BDM） which overcomes the previous difficulties. In such case, by using the linear wave theory based on eigenfunction expansion matching method, the expressions of velocity potential in each domain, the added mass, radiation damping and wave excitation forces of the oscillating absorbers are obtained. The good astringency of the hydrodynamic coefficients and wave forces are obtained for various geometries when the discrete number reaches a certain value. The captured wave power for a same given draught and displacement for various geometries are calculated and compared. Numerical results show that the geometrical shape has great effect on the wave conversion performance of the absorber. For absorbers with the same outer radius and draught or displacement, the cylindrical type shows fantastic wave energy conversion ability at some given frequencies, while in the random sea wave, the parabolic and conical ones have better stabilization and applicability in wave power conversion.

关键词： vertical axisymmetric complex wetted surface semi-analytical method astringency geometrical shape

A 2-D semi-analytical model of double-gate tunnel field-effect transistor

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Journal of semiconductors 2015年第5期36卷 24-30页

作者：许会芳代月花李宁徐建斌 Institute of Electronic and Information Engineering Anhui University

A 2-D semi-analytical model of double gate （DG） tunneling field-effect transistor （TFET） is proposed. By aid of introducing two rectangular sources located in the gate dielectric layer and the channel, the 2-D Poisson equation is solved by using a semi-analytical method combined with an eigenfunction expansion method. The expression of the surface potential is obtained, which is a special function for the infinite series expressions. The influence of the mobile charges on the potential profile is taken into account in the proposed model. On the basis of the potential profile, the shortest tunneling length and the average electrical field can be derived, and the drain current is then constructed by using Kane＇s model. In particular, the changes of the tunneling parameters Ak and Bk influenced by the drain-source voltage are also incorporated in the predicted model. The proposed model shows a good agreement with TCAD simulation results under different drain-source voltages, silicon film thicknesses, gate dielectric layer thicknesses, and gate dielectric layer constants. Therefore, it is useful to optimize the DG TFET and this provides a physical insight for circuit level design.

关键词： semi-analytical method eigenfunction expansion method double-gate tunnel field effect transistor (TFET) surface potential drain current