• Title/Summary/Keyword: Finite different method

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An incremental convex programming model of the elastic frictional contact problems

  • Mohamed, S.A.;Helal, M.M.;Mahmoud, F.F.
    • Structural Engineering and Mechanics
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    • v.23 no.4
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    • pp.431-447
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    • 2006
  • A new incremental finite element model is developed to simulate the frictional contact of elastic bodies. The incremental convex programming method is exploited, in the framework of finite element approach, to recast the variational inequality principle of contact problem in a discretized form. The non-classical friction model of Oden and Pires is adopted, however, the friction effect is represented by an equivalent non-linear stiffness rather than additional constraints. Different parametric studies are worked out to address the versatility of the proposed model.

Finite element vibration and damping analysis of a partially covered cantilever beam

  • Yaman, Mustafa
    • Structural Engineering and Mechanics
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    • v.19 no.2
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    • pp.141-151
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    • 2005
  • There are several ways of decreasing the vibration energy of structures. One of which is special damping layers made of various viscoelastic materials are widely applied in structures subjected to dynamic loading. In this study, a cantilever beam, partially covered by damping a constraining layers, is investigated by using Finite Element method (FEM). The frequency and system loss factor are evaluated. The effects of different physical and geometrical parameters on the natural frequency and system loss factors are discussed.

Finite strain nonlinear longitudinal vibration of nanorods

  • Eren, Mehmet;Aydogdu, Metin
    • Advances in nano research
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    • v.6 no.4
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    • pp.323-337
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    • 2018
  • The nonlinear free vibration of a nanorod subjected to finite strain is investigated. The governing equation of motion in material configuration in terms of displacement is determined. By means of Galerkin method, the Fourier series solutions satisfying some typical boundary conditions are determined. The amplitude-frequency relationship and interaction between the modes are studied. The effects of nonlocal elasticity are shown for different length of nanotubes and nonlocal parameter. The results show that nonlocal effects lead to additional internal modal interaction for nanorod vibrations.

Dog bone shaped specimen testing method to evaluate tensile strength of rock materials

  • Komurlu, Eren;Kesimal, Ayhan;Demir, Aysegul Durmus
    • Geomechanics and Engineering
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    • v.12 no.6
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    • pp.883-898
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    • 2017
  • To eliminate the holding and gluing problems making the direct tensile strength test hard to be applied, a new method of testing specimens prepared using lathe machine to make the dog bone shape is assessed whether it could be applied to determine accurate direct tensile strength values of rock materials. A series of numerical modelling analyses was performed using finite element method to investigate the effect of different specimen and steel holder geometries. In addition to numerical modelling study, a series of direct tensile strength tests was performed on three different groups of rock materials and a rock-like cemented material to compare the results with those obtained from the finite element analyses. A proper physical property of the lathed specimens was suggested and ideal failure of the dog bone shaped specimens was determined according to the results obtained from this study.

Geometrically nonlinear analysis of functionally graded porous beams

  • Akbas, Seref D.
    • Wind and Structures
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    • v.27 no.1
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    • pp.59-70
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    • 2018
  • In this paper, geometrically non-linear analysis of a functionally graded simple supported beam is investigated with porosity effect. The material properties of the beam are assumed to vary though height direction according to a prescribed power-law distributions with different porosity models. In the nonlinear kinematic model of the beam, the total Lagrangian approach is used within Timoshenko beam theory. In the solution of the nonlinear problem, the finite element method is used in conjunction with the Newton-Raphson method. In the study, the effects of material distribution such as power-law exponents, porosity coefficients, nonlinear effects on the static behavior of functionally graded beams are examined and discussed with porosity effects. The difference between the geometrically linear and nonlinear analysis of functionally graded porous beam is investigated in detail. Also, the effects of the different porosity models on the functionally graded beams are investigated both linear and nonlinear cases.

Trimming Line Design using Incremental Development Method and Finite Element Inverse Method (점진 전개기법 및 유한요소 역해석법을 이용한 자동차 패널 트리밍 라인 설계)

  • Chung, W.J.;Park, C.D.;Song, Y.J.;Oh, S.W.
    • Transactions of Materials Processing
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    • v.15 no.6 s.87
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    • pp.445-452
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    • 2006
  • In most of automobile body panel manufacturing, trimming process is generally performed before flanging. To find feasible trimming line is crucial in obtaining accurate edge profile after flanging. Section-based method develops blank along manually chosen section planes and find trimming line by generating loop of end points. This method suffers from inaccurate results of edge profile. On the other hand, simulation-based method can produce more accurate trimming line by iterative strategy. In this study, new fast simulation-based method to find feasible trimming line is proposed. Finite element inverse method is used to analyze the flanging process because final shape after flanging can be explicitly defined and most of strain paths are simple in flanging. In utilizing finite element inverse method, the main obstacle is the initial guess generation for general mesh. Robust initial guess generation method is developed to handle genera] mesh with very different size and undercut. The new method develops final triangular mesh incrementally onto the drawing tool surface. Also in order to remedy mesh distortion during development, energy minimization technique is utilized. Trimming line is extracted from the outer boundary after finite element inverse method simulation. This method has many advantages since trimming line can be obtained in the early design stage. The developed method is verified by shrink/stretch flange forming and successfully applied to the complex industrial applications such as door outer flanging process.

A NUMERICAL SIMULATION OF INFRARED RADIATION OF EXHAUST PLUME (배기 후류의 적외선 방사 특성 모사를 위한 수치적 연구)

  • Zhang, Y.;Yang, Y.R.;Park, G.R.;Myong, R.S.;Cho, T.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.422-425
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    • 2010
  • The infrared radiation of exhaust plume was investigated numerically by a finite volume method (FVM) with anisotropic scattering particles. The exhaust plume is considered to absorb, emit and scatter radiant energy isotropically as well as anisotropically. The spatial and spectral distribution characteristics were obtained for the detection wavelength with $2.7{\mu}m$. The radiative intensities were presented for the different detective direction.

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Comparison of ECT Probes in Diagnosis of Defects

  • Mun, Ho-Young;Kim, Chang-Eob
    • Journal of Electrical Engineering and Technology
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    • v.9 no.1
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    • pp.190-196
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    • 2014
  • In this paper, the characteristics of a defective elliptical aluminum plate are analyzed by three different eddy current testing probes; T/R, T/T, and Impedance probes. The analysis was done by 3D finite element method, and the impedance change of real and imaginary voltage values were analyzed.

A Comparative Study on the Equivalent Load Method and the Initial Stress Method for Modeling of the Prestressing Tendon (프리스트레싱 텐던의 모델링을 위한 등가하중법과 초기응력법의 비교연구)

  • Jeon, Se-Jin
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05a
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    • pp.459-462
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    • 2005
  • In finite element analysis of the PSC structures, the prestressing effect can be introduced by two ways, i.e, equivalent loads or initial stress. This study investigates the reason why the two schemes that adopt the different approaches produce the similar results. The discussion is applicable to the general finite elements that correspond to the concrete and tendons. Some of the detailed derivations of each scheme are presented. Numerical examples show the identical results for the two methods.

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Nonlinear static analysis of functionally graded porous beams under thermal effect

  • Akbas, Seref D.
    • Coupled systems mechanics
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    • v.6 no.4
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    • pp.399-415
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    • 2017
  • This paper deals with the nonlinear static deflections of functionally graded (FG) porous under thermal effect. Material properties vary in both position-dependent and temperature-dependent. The considered nonlinear problem is solved by using Total Lagrangian finite element method within two-dimensional (2-D) continuum model in the Newton-Raphson iteration method. In numerical examples, the effects of material distribution, porosity parameters, temperature rising on the nonlinear large deflections of FG beams are presented and discussed with porosity effects. Also, the effects of the different porosity models on the FG beams are investigated in temperature rising.