• Title/Summary/Keyword: Dynamic Explicit Method

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A Numerical Study on the Dynamic Characteristics of Power Metal using Split Hopkinson Pressure Bar (홉킨스바 장치를 이용한 분말금속의 동적 특성에 관한 수치해석적 연구)

  • Hwang, Du-Sun;Lee, Seung-U;Hong, Seong-In
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.12
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    • pp.2972-2979
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    • 2000
  • Dynamic characteristics of powder metal is very important to mechanical structures requiring high strength or endurance for impact loading. But owing to distinctive property of powder metal, that is relative, it has been investigated restrictively compared to static characteristics. The objectives of this study is to investigate dynamic characteristics of powder metal and compare it to a fully density material. To find the characteristics, an explicit finite element method is used for simulation of Split Hopkinson Pressure Bar experiment based on the stress wave propagation theory. We obtained a dynamic stress-strain relationship and dynamic behavior of powder metal, as well as the variation of material properties during dynamic deformation.

Prediction of Spring Back and Formability in 3-D Stamping by An Explicit Code (Explicit Code에 의한 Stamping시 스프링백 및 성형성 예측)

  • Kim, Heon-Young;Kim, Joong-Jae
    • Transactions of Materials Processing
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    • v.3 no.1
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    • pp.84-96
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    • 1994
  • Simulation of 3 dimensional large irregularly shaped stamping process by a dynamic approach, based on an explicit time integration scheme, has been shown to be highly efficient and robust in comparison to traditional, implicit, quasi-static ones. The objective of the work is to evaluate the results from explicit code in application to deep drawing of rectangular cup and stamping of automotive front fender, in which deformation, force, thickness distribution are calculated. The method of predicting spring back and formability by and explicit code are suggested and applied to the processes.

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Random vibration analysis of structures by a time-domain explicit formulation method

  • Su, Cheng;Xu, Rui
    • Structural Engineering and Mechanics
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    • v.52 no.2
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    • pp.239-260
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    • 2014
  • Non-stationary random vibration of linear structures with uncertain parameters is investigated in this paper. A time-domain explicit formulation method is first presented for dynamic response analysis of deterministic structures subjected to non-stationary random excitations. The method is then employed to predict the random responses of a structure with given values of structural parameters, which are used to fit the conditional expectations of responses with relation to the structural random parameters by the response surface technique. Based on the total expectation theorem, the known conditional expectations are averaged to yield the random responses of stochastic structures as the total expectations. A numerical example involving a frame structure is investigated to illustrate the effectiveness of the present approach by comparison with the power spectrum method and the Monte Carlo simulation method. The proposed method is also applied to non-stationary random seismic analysis of a practical arch bridge with structural uncertainties, indicating the feasibility of the present approach for analysis of complex structures.

Multi-cracking modelling in concrete solved by a modified DR method

  • Yu, Rena C.;Ruiz, Gonzalo
    • Computers and Concrete
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    • v.1 no.4
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    • pp.371-388
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    • 2004
  • Our objective is to model static multi-cracking processes in concrete. The explicit dynamic relaxation (DR) method, which gives the solutions of non-linear static problems on the basis of the steady-state conditions of a critically damped explicit transient solution, is chosen to deal with the high geometric and material non-linearities stemming from such a complex fracture problem. One of the common difficulties of the DR method is its slow convergence rate when non-monotonic spectral response is involved. A modified concept that is distinct from the standard DR method is introduced to tackle this problem. The methodology is validated against the stable three point bending test on notched concrete beams of different sizes. The simulations accurately predict the experimental load-displacement curves. The size effect is caught naturally as a result of the calculation. Micro-cracking and non-uniform crack propagation across the fracture surface also come out directly from the 3D simulations.

Semi-rigid Elasto-Plastic Post Buckling Analysis of Space Frame by Using the Explicit Arc-Length Method (명시적 호장법을 이용한 공간프레임의 반강접 탄소성 후좌굴 해석)

  • Lee, Kyoung-Soo;Han, Sang-Eul
    • Journal of Korean Society of Steel Construction
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    • v.23 no.5
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    • pp.535-546
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    • 2011
  • In this paper, semi-rigid elasto-plastic post-buckling analysis of a space frame was performed using various explicit arc-length methods. Various explicit arc-length methodsand a large-deformation and small-strain elasto-plastic 3D space frame element with semi-rigid connections and plastic hinges were developed. This element can be appliedto both explicit and implicit numerical algorithms. In this study, the Dynamic Relaxation method was adopted in the predictor and corrector processesto formulate an explicit arc-length algorithm. The developed "explicit-predictor" or "explicit-corrector" were used in the elasto-plastic post-buckling analysis. The Eulerian equations for a beam-column with finite rotation, which considers the bowing effects, were adopted for the elastic system and extended to theinelastic system with a plastic hinge concept. The derived tangent stiffness matrix was asymmetrical due to the finite rotation. The joint connection elements were introduced for semi-rigidity using a static condensation technique. Semi-rigid elasto-plastic post-buckling analyses were carried out to demonstrate the potential of the developed explicit arc-length method and advanced space frame element in terms of accuracy and efficiency.

Explicit Motion of Dynamic Systems with Position Constraints

  • Eun, Hee-Chang;Yang, Keun-Hyuk;Chung, Heon-Soo
    • Journal of Mechanical Science and Technology
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    • v.17 no.4
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    • pp.538-544
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    • 2003
  • Although many methodologies exist for determining the constrained equations of motion, most of these methods depend on numerical approaches such as the Lagrange multiplier's method expressed in differential/algebraic systems. In 1992, Udwadia and Kalaba proposed explicit equations of motion for constrained systems based on Gauss's principle and elementary linear algebra without any multipliers or complicated intermediate processes. The generalized inverse method was the first work to present explicit equations of motion for constrained systems. However, numerical integration results of the equation of motion gradually veer away from the constraint equations with time. Thus, an objective of this study is to provide a numerical integration scheme, which modifies the generalized inverse method to reduce the errors. The modified equations of motion for constrained systems include the position constraints of index 3 systems and their first derivatives with respect to time in addition to their second derivatives with respect to time. The effectiveness of the proposed method is illustrated by numerical examples.

Efficient Knowledge Base Construction Mechanism Based on Knowledge Map and Database Metaphor

  • Kim, Jin-Sung;Lee, Kun-Chang;Chung, Nam-Ho
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.05a
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    • pp.9-12
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    • 2004
  • Developing an efficient knowledge base construction mechanism as an input method for expert systems (ES) development is of extreme importance due to the fact that an input process takes a lot of time and cost in constructing an ES. Most ES require experts to explicit their tacit knowledge into a form of explicit knowledge base with a full sentence. In addition, the explicit knowledge bases were composed of strict grammar and keywords. To overcome these limitations, this paper proposes a knowledge conceptualization and construction mechanism for automated knowledge acquisition, allowing an efficient decision. To this purpose, we extended traditional knowledge map (KM) construction process to dynamic knowledge map (DKM) and combined this algorithm with relational database (RDB). In the experiment section, we used medical data to show the efficiency of our proposed mechanism. Each rule in the DKM was characterized by the name of disease, clinical attributes and their treatments. Experimental results with various disease show that the proposed system is superior in terms of understanding and convenience of use.

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Rigid-Plastic Explicit Finite Element Formulation for Two-Dimensional Analysis of Sheet Metal Forming Processes (2차원 박판성형공정 해석을 위한 강소성 외연적 유한요소 수식화)

  • An, Dong-Gyu;Jeong, Dong-Won;Jeong, Wan-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.1
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    • pp.88-99
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    • 1996
  • The explicit scheme for finite element analysis of sheet metal forming problems has been widely used for providing practical solutions since it improves the convergency problem, memory size and computational time especially for the case of complicated geometry and large element number. The explicit schemes in general use are based on the elastic-plastic modeling of material requiring large computataion time. In the present work, a basic formulation for rigid-plastic explicit finite element analysis of plain strain sheet metal forming problems has been proposed. The effect of some basic parameters involved in the dynamic analysis has been studied in detail. Thus, the effective ranges of parameters have been proposed for numerical simultion by the rigid-plastic explicit finite element method. A direct trial-and-error method is introduced to treat contact and friction. In computation, sheet material is assumed to possess normal anisotropy and rigid-plastic workhardening characteristics. In order to show the validity and effectiveness of the proposed explicit scheme, computations are carried out for cylindrical punch stretching and the computational results are compared with those by the implicit scheme as well as with a commercial code. The proposed rigid-plastic exlicit finite element method can be used as a robust and efficient computational method for analysis of sheet metal forming.

Efficient MCS for random vibration of hysteretic systems by an explicit iteration approach

  • Su, Cheng;Huang, Huan;Ma, Haitao;Xu, Rui
    • Earthquakes and Structures
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    • v.7 no.2
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    • pp.119-139
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    • 2014
  • A new method is proposed for random vibration anaylsis of hysteretic systems subjected to non-stationary random excitations. With the Bouc-Wen model, motion equations of hysteretic systems are first transformed into quasi-linear equations by applying the concept of equivalent excitations and decoupling of the real and hysteretic displacements, and the derived equation system can be solved by either the precise time integration or the Newmark-${\beta}$ integration method. Combining the numerical solution of the auxiliary differential equation for hysteretic displacements, an explicit iteration algorithm is then developed for the dynamic response analysis of hysteretic systems. Because the computational cost for a large number of deterministic analyses of hysteretic systems can be significantly reduced, Monte-Carlo simulation using the explicit iteration algorithm is now viable, and statistical characteristics of the non-stationary random responses of a hysteretic system can be obtained. Numerical examples are presented to show the accuracy and efficiency of the present approach.

A Study on the Superession of Puckering and Wrinking in Drawing of KFP Engine Part (KFP 엔진 드로잉 부품 주름 발생억제에 관한 연구)

  • Chung, W.J.;Kim, K.T.;Oh, S.G.;Ahn, H.;Lee, Y.H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1995.03a
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    • pp.186-195
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    • 1995
  • In this study, drawing process of KFP engine airsealing bearing support part is analyzed by dynamic explicit finite element method. Puckering should be supressed to meet the specification. By investigating the influence fo process parameter, the feasible process condition can be obtained. The corresponding experiment is carried out. There is good agreement between the experiment and FE simulation . From this result, it is shown that the dynamic explicit finite element method can be used effectively to avoid puckering and wrinking problem in drawing process.

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