• Title/Summary/Keyword: Normal element

Search Result 1,218, Processing Time 0.024 seconds

Dynamic stiffness matrix of an axially loaded slenderdouble-beam element

  • Jun, Li;Hongxing, Hua;Xiaobin, Li
    • Structural Engineering and Mechanics
    • /
    • v.35 no.6
    • /
    • pp.717-733
    • /
    • 2010
  • The dynamic stiffness matrix is formulated for an axially loaded slender double-beam element in which both beams are homogeneous, prismatic and of the same length by directly solving the governing differential equations of motion of the double-beam element. The Bernoulli-Euler beam theory is used to define the dynamic behaviors of the beams and the effects of the mass of springs and axial force are taken into account in the formulation. The dynamic stiffness method is used for calculation of the exact natural frequencies and mode shapes of the double-beam systems. Numerical results are given for a particular example of axially loaded double-beam system under a variety of boundary conditions, and the exact numerical solutions are shown for the natural frequencies and normal mode shapes. The effects of the axial force and boundary conditions are extensively discussed.

A Study on the Process Improvements of the Multi-stage Deep Drawing by the Rigid-plastic Finite Element Method (강소성 유한요소법을 이용한 다단계 디프드로잉의 공정개선에 관한 연구)

  • 전병희;민동균;김형종;김낙수
    • Transactions of Materials Processing
    • /
    • v.3 no.4
    • /
    • pp.440-453
    • /
    • 1994
  • The multi-stage deep-drawing processes including normal-drawing, reverse-drawing, and re-drawing are analyzed by use of the rigid-plastic finite element method. Computational results on the punch/die loads and thickness distributions were compared with the experiments of the current drawing processes. Deep-drawing processes of the redesigned shell to improve the specific strength and stiffness were simulated with the numerical method developed. With varying several process parameters such as blank size, corner radii of tools, and clearances, the simulation results showed the improvements in reducing the forming loads. Also forming defects were found during simulation and appropriate blank size could be verified.

  • PDF

Enhancing the Reconstruction of Acoustic Source Field Using Wavelet Transformation

  • Ko Byeongsik;Lee Seung-Yop
    • Journal of Mechanical Science and Technology
    • /
    • v.19 no.8
    • /
    • pp.1611-1620
    • /
    • 2005
  • This paper shows the use of wavelet transformation combined with inverse acoustics to reconstruct the surface velocity of a noise source. This approach uses the boundary element analysis based on the measured sound pressure at a set of field points, the Helmholtz integral equations and wavelet transformation for reconstructing the normal surface velocity field. The reconstructed field can be diverged due to the small measurement errors in the case of nearfield acoustic holography (NAH) using an inverse boundary element method. In order to avoid this instability in the inverse problem, the reconstruction process should include some form of regularization for enhancing the resolution of source images. The usual method of regularization has been the truncation of wave vectors associated with small singular values, although the order of an optimal truncation is difficult to determine. In this paper, a wavelet transformation is applied to reduce the computation time for inverse acoustics and to enhance the reconstructed vibration field. The computational speed-up is achieved, with solution time being reduced to $14.5\%$.

Buckling Analysis of Thin-Walled Curved Members by Finite Element Method (유한요소법에 의한 박판곡선부채의 좌굴해석)

  • Lee, Sung Chul
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.11 no.2
    • /
    • pp.1-14
    • /
    • 1991
  • A computer program for the linear elastic buckling anlalysis of thin walled members is developed using a 3-node triangular shell element. The element has real stiffness value for a kinematic degree of freedom associated with rotation about the surface normal at each node. The validity of the present computer program is demonstrated through the plate buckling analysis and the lateral-torsional buckling analysis of a straight beam. Then, simply supported circular arches subjected to uniform bending are analyzed and the results are compared with existing solutions.

  • PDF

Dynamic Response Analysis of Open Section Structures with Warping Restraint Conditions and Impact Load Durations

  • Chun, Dong-Joon
    • International Journal of Advanced Culture Technology
    • /
    • v.8 no.2
    • /
    • pp.159-164
    • /
    • 2020
  • The response analysis of frame structure with open section beams considering warping conditions and short duration load have been performed. When a beam of frame structure is subjected under torsional moment, the cross section will deform a warping as well as twist. For some thin-walled sections warping will be large, and accompanying warping restraint will induce axial and shear stresses and reduce the twist of beam which stiffens the beam in torsion. Because of impact or blast loads, the wave propagation effects become increasingly important as load duration decreases. This paper presents that a warping restraint in finite element model effects the behavior of beam deformation, dynamic mode shape and response analysis. The computer modelling of frame is discussed in linear beam element model and linear thin shell element model, also presents a correlation between computer predicted and actual experimental results for static deflection, natural frequencies and mode shapes of frame. A method to estimate the number of normal modes that are important is discussed.

A study on Optimum Design of the Frame for Mechanical Press (기계식 프레스 Frame의 최적설계에 관한 연구)

  • Jo, Baek-Hui;Ryu, Byeong-Sun
    • 연구논문집
    • /
    • s.22
    • /
    • pp.65-74
    • /
    • 1992
  • This paper aims at calculating optimum design dimensions to minimize the weight satisfied strain and stress intensity of the frame while loading maximum weight into a mechanical press in the static condition. Analysis of the frame was carried out by using the FEM, then the optimum condition was obtained by using these data. As modeling in the finite element analysis has great impact on the reliablity of analysis results, the analyzed object was selected a 150-ton mechanical press of J Company, the part little affected to structural rigidity was simplified, the load condition was considered in the only maximum load, the boundary condition was used by giving symmetric displacement due to symmetric boundary condition, the finite element was applied a linear membrane element. An intermediate processor program applied the normal ANSYS to analyze finite elements was developed, and the design sensitivity was calculated. This program was applied to the optimum design.

  • PDF

Predicting Moment Carrying Capacity of the "sagae" Connection Using the Finite Element Method

  • Jeong, Gi Young;Park, Moon-Jae;Park, Joo-Saeng;Lee, Sang-Joon
    • Journal of the Korean Wood Science and Technology
    • /
    • v.41 no.5
    • /
    • pp.415-424
    • /
    • 2013
  • The goal of this study is to analyze the effects of geometries of mortise and tenon on moment carrying capacity of the "sagae" connection. Effects of different tenon widths, mortise depths of connection from the top and bottom beams on stress distribution were investigated using the finite element method (FEM). Critical normal and shear stresses occurred at the reentrant corner from the mortise of the bottom beam. The maximum moment carrying capacity of the sagae connection from the FEM was validated from the results of experimental test. Maximizing moment carrying capacity of the sagae connection was found when the tenon width and mortise depth from the two beams were 40 mm and 60 mm, respectively.

MAX-NORM ERROR ESTIMATES FOR FINITE ELEMENT METHODS FOR NONLINEAR SOBOLEV EQUATIONS

  • CHOU, SO-HSIANG;LI, QIAN
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • v.5 no.2
    • /
    • pp.25-37
    • /
    • 2001
  • We consider the finite element method applied to nonlinear Sobolev equation with smooth data and demonstrate for arbitrary order ($k{\geq}2$) finite element spaces the optimal rate of convergence in $L_{\infty}\;W^{1,{\infty}}({\Omega})$ and $L_{\infty}(L_{\infty}({\Omega}))$ (quasi-optimal for k = 1). In other words, the nonlinear Sobolev equation can be approximated equally well as its linear counterpart. Furthermore, we also obtain superconvergence results in $L_{\infty}(W^{1,{\infty}}({\Omega}))$ for the difference between the approximate solution and the generalized elliptic projection of the exact solution.

  • PDF

타원곡선위에서의 연산

  • 최영주;황효선
    • Review of KIISC
    • /
    • v.3 no.1
    • /
    • pp.86-90
    • /
    • 1993
  • Finite field GF$(2^n)5에서 정의된 elliptic curve가 있을때 그 curve위의 어떤 point p를 k배하는 연산은 암호론에서 매우 자주 쓰여진다. 이때 optimal normal bases를 이용하여 GF$(2^n)의 element를 표현하고, 또 elliptic curve를 선택할 때 animalous curve가 되도록 한다면, 기존이 방법 보다 매우 빠르게 k P를 구할 수 있다.

  • PDF

Post-peak response analysis of SFRC columns including spalling and buckling

  • Dhakal, Rajesh P.
    • Structural Engineering and Mechanics
    • /
    • v.22 no.3
    • /
    • pp.311-330
    • /
    • 2006
  • Standard compression tests of steel fiber reinforced concrete (SFRC) cylinders are conducted to formulate compressive stress versus compressive strain relationship of SFRC. Axial pullout tests of SFRC specimens are also conducted to explore its tensile stress strain relationship. Cover concrete spalling and reinforcement buckling models developed originally for normal reinforced concrete are modified to extend their application to SFRC. Thus obtained monotonic material models of concrete and reinforcing bars in SFRC members are combined with unloading/reloading loops used in the cyclic models of concrete and reinforcing bars in normal reinforced concrete. The resulting path-dependent cyclic material models are then incorporated in a finite-element based fiber analysis program. The applicability of these models at member level is verified by simulating cyclic lateral loading tests of SFRC columns under constant axial compression. The analysis using the proposed SFRC models yield results that are much closer to the experimental results than the analytical results obtained using the normal reinforced concrete models are.