• Title/Summary/Keyword: FEM Shear deformation

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A Study on Fatigue Design of CT-Type Spot Welded Lap Joint (CT형 점용접 이음재의 피로설계에 관한 연구)

  • Baek, Seung-Yeb
    • Journal of Welding and Joining
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    • v.28 no.2
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    • pp.91-95
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    • 2010
  • Stress distribution and deformation on the CT-type(Cross Tension type) spot welded lap joint subjected to out of plane tensile load were investigated by finite element method. Using the maximum principal stresses at the nugget edge obtained by FEM analysis, evaluated the fatigue strength of the CT-type spot welded lap joints having various dimensions and materials. and also, the influence of the geometrical parameters of CT-type spot welded lap joints on stress distribution and fatigue strength must be evaluated. thus, in this paper, ${\Delta}P-N_f$ curve were obtained by fatigue tests. Using these results, ${\Delta}P-N_f$ curve were systematically rearranged in the $\Delta\sigma-N_f$ relation with the hot spot stresses at the CT-type spot welded lab joints. It was found that the proposed $\Delta\sigma-N_f$ relation could provide a more reasonable fatigue design criterion for the CT-type spot welded lap joints.

Evolution of Strain States and Microstructures During Three-roll Screw Rolling of Copper Rods (Three-roll Screw Rolling 공정 시 동봉재의 변형상태와 미세조직의 발달)

  • Kim, S.H.;Park, E.S.;Kim, H.J.;Bae, J.C.;Huh, M.Y.
    • Transactions of Materials Processing
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    • v.17 no.1
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    • pp.68-72
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    • 2008
  • In order to investigate the evolution of strain states during screw rolling, the samples of copper rod were rolled in a three-roll screw rolling mill. Microstructure observations and hardness measurements were carried out for examining the deformation history during screw rolling. The finite element method(FEM) was employed to calculate the evolution of strain states during screw rolling. The strain state in the roll gap is quite inhomogeneous through the rod thickness layers. It turned out that shear strain gradients through the thickness layers are reduced by applying a higher reduction.

Simplified Algorithm of the Novel Steel-concrete Mixed Structure under Lateral Load

  • Li, Liang;Li, Guo-qiang;Liu, Yu-shu
    • International Journal of High-Rise Buildings
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    • v.1 no.4
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    • pp.247-254
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    • 2012
  • In order to improve the seismic behaviors of traditional steel-concrete mixed structure, a novel steel concrete mixed structure consisting of steel frames braced with buckling restrained braces (BRBs) and a concrete tube is proposed. Based on several assumptions, the simplified mechanical model of the novel mixed structure is established, and the shear and bending stiffness formulas of the steel frames, BRBs and concrete tube are respectively introduced. The equilibrium differential equation of the novel mixed structure under horizontal load is developed based on the structural elastic theory. The simplified algorithms to determine the lateral displacement and internal forces of the novel mixed structure under the inverted-triangle distributed load, uniformly load and top-concentrated load are then obtained considering several boundary conditions and compatible deformation conditions. The effectiveness of the simplified algorithms is verified by FEM comparison.

Free vibration analysis of edge cracked symmetric functionally graded sandwich beams

  • Cunedioglu, Yusuf
    • Structural Engineering and Mechanics
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    • v.56 no.6
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    • pp.1003-1020
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    • 2015
  • In this study, free vibration analysis of an edge cracked multilayered symmetric sandwich beams made of functionally graded materials are investigated. Modelling of the cracked structure is based on the linear elastic fracture mechanics theory. Material properties of the functionally graded beams change in the thickness direction according to the power and exponential laws. To represent functionally graded symmetric sandwich beams more realistic, fifty layered beam is considered. Composition of each layer is different although each layer is isotropic and homogeneous. The considered problem is carried out within the Timoshenko first order shear deformation beam theory by using finite element method. A MATLAB code developed to calculate natural frequencies for clamped and simply supported conditions. The obtained results are compared with published studies and excellent agreement is observed. In the study, the effects of crack location, depth of the crack, power law index and slenderness ratio on the natural frequencies are investigated.

Effect of a Partial Elastic Foundation on Dynamic Stability of a Cantilevered Timoshenko Beam under a Follower Force (종동력을 받는 외팔 Timoshenko보의 동적안정성에 미치는 부분탄성기초의 영향)

  • Ryu, Bong-Jo;Ryu, Si-Ung;Han, Hyun-Hee;Kim, Hyo-Jun
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.911-916
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    • 2004
  • The paper deals with the dynamic stability of a cantilevered Timoshenko beam on partial elastic foundations subjected to a follower force. The beam is assumed to be a Timoshenko beam with a concentrated mass taking into account its rotary inertia and shear deformation. Governing equations are derived by extended Hamilton's principle, and FEM is applied to solve the discretized equation. Critical follower force depending on the attachment ratios of partial elastic foundations, concentrated mass and rotary inertia of the beam is fully investigated.

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Free vibration analysis of uniform and stepped functionally graded circular cylindrical shells

  • Li, Haichao;Pang, Fuzhen;Du, Yuan;Gao, Cong
    • Steel and Composite Structures
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    • v.33 no.2
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    • pp.163-180
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    • 2019
  • A semi analytical method is employed to analyze free vibration characteristics of uniform and stepped functionally graded circular cylindrical shells under complex boundary conditions. The analytical model is established based on multi-segment partitioning strategy and first-order shear deformation theory. The displacement functions are handled by unified Jacobi polynomials and Fourier series. In order to obtain continuous conditions and satisfy complex boundary conditions, the penalty method about spring technique is adopted. The solutions about free vibration behavior of functionally graded circular cylindrical shells were obtained by approach of Rayleigh-Ritz. To confirm the dependability and validity of present approach, numerical verifications and convergence studies are conducted on functionally graded cylindrical shells under various influencing factors such as boundaries, spring parameters et al. The present method apparently has rapid convergence ability and excellent stability, and the results of the paper are closely agreed with those obtained by FEM and published literatures.

Dynamic stability of a metal foam rectangular plate

  • Debowski, D.;Magnucki, K.;Malinowski, M.
    • Steel and Composite Structures
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    • v.10 no.2
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    • pp.151-168
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    • 2010
  • The subject of the paper is an isotropic metal foam rectangular plate. Mechanical properties of metal foam vary continuously through plate of the thickness. A nonlinear hypothesis of deformation of plane cross section is formulated. The system of partial differential equations of the plate motion is derived on the basis of the Hamilton's principle. The system of equations is analytically solved by the Bubnov-Galerkin method. Numerical investigations of dynamic stability for family rectangular plates with respect analytical solution are performed. Moreover, FEM analysis and theirs comparison with results of numerical-analytical calculations are presented in figures.

Optimal stacking sequence of laminated anisotropic cylindrical panel using genetic algorithm

  • Alibeigloo, A.;Shakeri, M.;Morowa, A.
    • Structural Engineering and Mechanics
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    • v.25 no.6
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    • pp.637-652
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    • 2007
  • This paper presents stacking sequence optimization of laminated angle-ply cylindrical panel based on natural frequency. Finite element method (FEM) is used to obtain the vibration characteristic of an anisotropic panel using the first order shear deformation theory(FSDT) and genetic algorithm (GA) is used to obtain the optimal stacking sequence of the layers. Cylindrical panel has finite length and arbitrary boundary conditions. The thicknesses of the layers are assumed constant and their angles are specified as design variables. The effect of the number of plies and boundary conditions in the fitness function is considered. Numerical examples are presented for four, six and eight layered anisotropic cylindrical panels.

Finite element solution of stress and flexural strength of functionally graded doubly curved sandwich shell panel

  • Dash, Sushmita;Mehar, Kulmani;Sharma, Nitin;Mahapatra, Trupti Ranjan;Panda, Subrata Kumar
    • Earthquakes and Structures
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    • v.16 no.1
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    • pp.55-67
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    • 2019
  • The finite solutions of deflection and the corresponding in-plane stress values of the graded sandwich shallow shell structure are computed in this research article via a higher-order polynomial shear deformation kinematics. The shell structural equilibrium equation is derived using the variational principle in association with a nine noded isoprametric element (nine degrees of freedom per node). The deflection values are computed via an own customized MATLAB code including the current formulation. The stability of the current finite element solutions including their accuracies have been demonstrated by solving different kind of numerical examples. Additionally, a few numerical experimentations have been conducted to show the influence of different design input parameters (geometrical and material) on the flexural strength of the graded sandwich shell panel including the geometrical configurations.

Effect of porosity distribution on free vibration of functionally graded sandwich plate using the P-version of the finite element method

  • Hakim Bentrar;Sidi Mohammed Chorfi;Sid Ahmed Belalia;Abdelouahed Tounsi;Mofareh Hassan Ghazwani;Ali Alnujaie
    • Structural Engineering and Mechanics
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    • v.88 no.6
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    • pp.551-567
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    • 2023
  • In this work, the free vibration analysis of functionally graded material (FGM) sandwich plates with porosity is conducted using the p-version of the finite element method (FEM), which is based on the first-order shear deformation theory (FSDT). The sandwich plate consists of two face-sheet layers of FGM and a homogeneous core layer. The obtained results are validated using convergence and comparison studies with previously published results. Five porosities distribution models of FGM sandwich plates are assumed and analyzed. The effect of the thickness ratio, boundary conditions, volume fraction exponents, and porosity coefficients of the top and bottom layers of FGM sandwich plates on the natural frequency are addressed.