• Title/Summary/Keyword: Finite Value Method

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Algorithm of solving the problem of small elastoplastic deformation of fiber composites by FEM

  • Polatov, Askhad M.;Khaldjigitov, Abduvali A.;Ikramov, Akhmat M.
    • Advances in Computational Design
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    • v.5 no.3
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    • pp.305-321
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    • 2020
  • In this paper is presented the solution method for three-dimensional problem of transversely isotropic body's elastoplastic deformation by the finite element method (FEM). The process of problem solution consists of: determining the effective parameters of a transversely isotropic medium; construction of the finite element mesh of the body configuration, including the determination of the local minimum value of the tape width of non-zero coefficients of equation systems by using of front method; constructing of the stiffness matrix coefficients and load vector node components of the equation for an individual finite element's state according to the theory of small elastoplastic deformations for a transversely isotropic medium; the formation of a resolving symmetric-tape system of equations by summing of all state equations coefficients summing of all finite elements; solution of the system of symmetric-tape equations systems by means of the square root method; calculation of the body's elastoplastic stress-strain state by performing the iterative process of the initial stress method. For each problem solution stage, effective computational algorithms have been developed that reduce computational operations number by modifying existing solution methods and taking into account the matrix coefficients structure. As an example it is given, the problem solution of fibrous composite straining in the form of a rectangle with a system of circular holes.

Time Domain Analysis of Ship Motion in Waves Using Finite Element Method (유한요소법을 이용한 파랑 중 선박운동의 시간영역 해석기법 개발)

  • Nam, Bo-Woo;Sung, Hong-Gun;Hong, Sa-Young
    • Journal of Ocean Engineering and Technology
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    • v.23 no.1
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    • pp.16-23
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    • 2009
  • The three-dimensional ship motion with forward speed was solved by a finite element method in the time domain. A boundary value problem was described in the frame of a fixed-body reference, and the problem was formulated according to Double-Body and Neumann-Kelvin linearizations. Laplace's equation with boundary conditions was solved by a classical finite element method based on the weak formulation. Chebyshev filtering was used to get rid of an unwanted saw-tooth wave and a wave damping zone was adopted to impose a numerical radiation condition. The time marching of the free surface was performed by the 4th order Adams-Bashforth-Moulton method. Wigley I and Wigely III models were considered for numerical validation. The hydrodynamic coefficients and wave exciting forces were validated by a comparison with experimental data and the numerical results of the Wigley I. The effects of the linearization are also discussed. The motion RAO was also checked with a Wigley III model through mono-chromatic and multi-chromatic regular waves.

Direct Torque Control of a Synchronous Reluctance Motor Using the Finite Element Method (유한요소법을 이용한 동기형 릴럭턴스 전동기의 직접토크제어 특성젠 관한 연구)

  • Lee, Moon-Ju;Kim, Sol;Lee, Ju;Ko, Kwon-Min;Kim, Tea-Duk;Oh, Sang-Kyeong
    • Proceedings of the KIEE Conference
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    • 2002.07b
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    • pp.666-668
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    • 2002
  • Reluctance torque is generated by the rotor of the rugged construction in Synchronous Reluctance Motor. Its construction is simple, and it is very economic because a rotor in existed AC motor can be used. As the Synchronous inductance in Synchronous Reluctance Motor is an element that is proportional to torque, the exact value must be experimentally or analytically found for controlling and the performance development of motors. In this paper, direct torque control simulation to maximize the torque of the Synchronous Reluctance Motor and fast response characteristics was carried out with the inductance value by the Finite Element Method. For the simulation results, there are torques and fluxs response characteristics when controlling speed.

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Strenth analysis gear by finite element method (유한요소법에 의한 전위치차의 강도해석)

  • 조선휘;박종근
    • Journal of the korean Society of Automotive Engineers
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    • v.3 no.2
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    • pp.27-33
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    • 1981
  • In the paper, it was attempted to verify how the strength around fillet area of shifted gear would be affected by variables such as number of teeth, shifted value, and diametral pitch. Thereafter, the Lewis' tooth factor of the shifted gear was computed in terms of previously mentioned variables in order to observe the characteristics of stress change related from tooth factor and tooth number with the parameter of shifted values and diametral pitches. From the results of quasi-theoretical values by Finite Element Method(F.E.M.)and experimental values through the photo-elastic tests, the followings were identified. The more the number of gear teeth increased, the more the profile of the tooth became close to that of rack, and accordingly the stresses in the fillet area decreased significantly in certain range. Furthermore, as the shifted value and pressure angle increase the stresses tend decrease. Moreover, the stresses analyzed by F.E.M. in the filled area became around 1.22 times larger than the stresses computed by Lewis' form factor, and this is supposed as on influence of the stress concentration in fillet area.

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Probabilistic stability analysis of underground structure using stochastic finite element method

  • Na, Sang-Min;Moon, Hyun-Koo
    • 한국지구물리탐사학회:학술대회논문집
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    • 2003.11a
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    • pp.192-197
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    • 2003
  • It can be said that rock mass properties are characterized not by a mean value but by values with variation due to its characteristic uncertainty. This characteristic is one of the most important parts for the design of underground structures, but yet to be fully examined. Stochastic finite element method (SFEM) has been developed in order to take the randomness of structural systems into account. Using SFEM, the response variability of structural system can be obtained and it leads probabilistic stability of structure to be analyzed. In this study, displacements response variability of circular opening with hydrostatic stress field are analyzed in terms of rock mass properties having a certain mean and a standard deviation using the SFEM. The analyzed response variability shows that the necessity of probabilistic stability analysis of underground structures using reliable mean value and standard deviation of deformation modulus.

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The thermal conductivity interpretation of the Concrete using Galerkin finite element method (갤러킨 유한요소해석 방법을 이용한 콘크리트의 열전도해석)

  • Lee, Kyu-Min;Seo, Dong-Goo;Kwon, Young-Jin
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2014.11a
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    • pp.169-170
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    • 2014
  • In this study, a general strength concrete member is produced and its hydrothermal temperature is measured. It is intended to present the basic data for establishment of fire resistance performance assessment and review of safety against fire by comparing the data values of slab fire resistance experiment and the numerical analysis model. The value obtained by measuring the hydrothermal temperature of the concrete after heating the concrete designed to have general strength (30 Mpa) for 3 hours in accordance with the ISO 834 Heating Curve is compared with the value obtained from a thermal conduction analysis. As a result of the comparison, though there is a little difference, it is thought that fire behaviors can be predicted in the future if the movement of moisture and the added evaporation speed are taken into account.

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A Study on Forming for Brake Pipe of Automobiles using Finite Element Method (유한요소법을 이용한 자동차용 브레이크 파이프의 성형에 관한 연구)

  • Min, Byeong-Hyeon;Jea, Wone-Soo;Ye, Sang-Don
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.7 no.3
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    • pp.47-49
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    • 2008
  • The brake pipe is important part in automobile. The brake pipe have to prevent crack, fracture and defects for braking in safety. Especially, shape of ends of pipe has influence on ability of brake. Based on the procedure of process design, in this paper, the forming operation is designed by finite element method. Design variable and response value was selected shape of die and damage factor. To improve die that performed FEM and compared results of two types of die.

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A Finite-element Method of a Multilayer Piezoelectric Body for an Actuator Depending on Inner Electrode Pattern (내부전극패턴 변경에 따른 적층형 압전 액추에이터의 유한요소해석)

  • Lee, Hyeung-Gyu;Kang, Hyung-Won
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.18 no.12
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    • pp.1124-1128
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    • 2005
  • New piezoelectric actuator design, which can reduce the number of the stacking layer without lowering the piezoelectric displacement, is suggested in this work. Each layer of the new designed multilayer actuator has the same electrode pattern as the cross-sectioned layer of the existing multilayer actuator has. The piezoelectric displacement was calculated by Finite-Element Method (FEM) analysis. The maximum piezoelectric displacement of the new-designed actuator with 13 layers was calculated to be almost same value (55.9 ${\mu}m$) as that of the existing actuator with 25 layers(60.1 ${\mu}m$).

Elastic Critical Loads of Tapered Compression Members with Simply Supported Ends (단순지지 변단면 압축재의 임계하중)

  • Song, Chang-Young
    • Journal of Korean Association for Spatial Structures
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    • v.7 no.5
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    • pp.83-87
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    • 2007
  • Elastic critical loads of sinusoidally tapered bars with simply supported ends are determined by finite element method. The parameters considered in the analysis are taper parameter (=a) and section property parameter (=m). The analysis result for the special case of porismatic bar (a=0) shows good agreement with the existing value. The changes of the critical load coefficients are expressed by an algebraic equation. The coefficients appearing in the equations are determined by regression technique. The critical loads coefficients estimated by the proposed equations reveal little errors when they are compared with those determined by finite element method.

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The Application of Finite Element Method to Process Design Considering Forming Limit in Deep Drawing (성형한계를 고려한 디프 드로잉 공정설계에 대한 유한 요소 해석)

  • Choe, Yeong;Lee, Gyu-Ho;Go, Dae-Cheol;Kim, Byeong-Min;Choe, Jae-Chan
    • Transactions of Materials Processing
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    • v.7 no.6
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    • pp.562-569
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    • 1998
  • The limit drawing ratio (LDR) is a major process parameter in the process design of deep drawing. If the actual drawing ratio is greater than the LDR for a particular stage then an intermediate stage has to b added the process sequence to avoid failure during the drawing operation and the optimal process design considering for the first-drawing and redrawing by using finite element method combined with ductile fracture criterion. From the results of finrte element analysis the optimal value of drawing ratio is obtained which contributes to the more uniform distribution of thickess and the smaller values of the ductile fracture infinal cup.

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