• Title/Summary/Keyword: tangent matrix

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A Study on Electrical Properties and Structure Analysis of Epoxy-Ceramic Composite Materials (에폭시-세라믹 복합재료의 전기적 특성 및 구조분석)

  • 정지원;홍경진;김태성
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1994.05a
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    • pp.9-12
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    • 1994
  • Epoxy-Ceramic Composite have good insulating, therma1 and mechanical properties, so it is studied actively on this material. In this thesis, we made a composite material b)\ulcorner filling Epoxy Resin with ceramics treated with Sillane Coupling Agent and studied dielectric and insulating characteristics according to treatment density of Sillane Coupling Agent and weight percent of filler. As a result, loss tangent increase and electrical breakdown voltage decrease according to increasing treatment density of sillane coupling agent because Interface matching between matrix and filler is not good. The best treatment density of sillane coupling agent is 0.5% water solution, in this density the best interface matching is achieved so good dielectric and insulation characteristics are shown. Dielectric and insulation characteristics according to weight percent of filler are best at 25wt.

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A co-rotational 8-node assumed strain element for large displacement elasto-plastic analysis of plates and shells

  • Kim, K.D.
    • Structural Engineering and Mechanics
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    • v.15 no.2
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    • pp.199-223
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    • 2003
  • The formulation of a non-linear shear deformable shell element is presented for the solution of stability problems of stiffened plates and shells. The formulation of the geometrical stiffness presented here is exactly defined on the midsurface and is efficient for analyzing stability problems of thick plates and shells by incorporating bending moment and transverse shear resultant force. As a result of the explicit integration of the tangent stiffness matrix, this formulation is computationally very efficient in incremental nonlinear analysis. The element is free of both membrane and shear locking behaviour by using the assumed strain method such that the element performs very well in the thin shells. By using six degrees of freedom per node, the present element can model stiffened plate and shell structures. The formulation includes large displacement effects and elasto-plastic material behaviour. The material is assumed to be isotropic and elasto-plastic obeying Von Mises's yield condition and its associated flow rules. The results showed good agreement with references and computational efficiency.

A new low dielectric constant barium titanate - poly (methyl methacrylate) nanocomposite films

  • Upadhyay, Ravindra H.;Deshmukh, Rajendra R.
    • Advances in materials Research
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    • v.2 no.2
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    • pp.99-109
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    • 2013
  • In the present investigation, nanocomposite films with poly(methyl methacrylate) (PMMA) as a polymer matrix and barium titanate as a filler were prepared by solution casting method. Barium titanate nano particles were prepared using Ti(IV) triethanolaminato isopropoxide and hydrated barium hydroxide as precursors and tetra methyl ammonium hydroxide (TMAH) as a base. The nanocomposite films were characterized using XRD, FTIR, SEM and dielectric spectroscopy techniques. Dielectric measurements were performed in the frequency range 100 Hz-10 MHz. Dielectric constant of nanocomposites were found to depend on the frequency, the temperature and the filler fraction. Dissipation factors were also influenced by the frequency and the temperature but not much influenced by the filler fractions. The 10 wt% of BT-PMMA nanocomposite had the lowest dielectric constant of 3.58 and dielectric loss tangent of 0.024 at 1MHz and $25^{\circ}C$. The dielectric mixing model of Modified Lichtenecker showed the close fit to the experimental data.

Time varying LQR-based optimal control of geometrically exact Reissner's beam model

  • Suljo Ljukovac;Adnan Ibrahimbegovic;Maida Cohodar-Husic
    • Coupled systems mechanics
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    • v.13 no.1
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    • pp.73-93
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    • 2024
  • In this work, we propose combining an advanced optimal control algorithm with a geometrically exact beam model. For simplicity, the 2D Reissner beam model is chosen to represent large displacements and rotations. The difficulty pertains to the nonlinear nature of beam kinematics affecting the tangent stiffness matrix, making it non-constant, which compromises direct use of optimal control methods for linear problems. Thus, we seek to accommodate a time varying control using linear-quadratic regulator (LQR) algorithm with the proposed geometrically nonlinear beam model. We provide a detailed theoretical formulation and its numerical implementation in a variational format form. Several illustrative numerical examples are provided to confirm an excellent performance of the proposed methodology.

Improved Stability Design of Plane Frame Members (평면프레임 구조의 개선된 좌굴설계)

  • Kim, Moon Young;Song, Ju Young;Kyung, Yong Soo
    • Journal of Korean Society of Steel Construction
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    • v.18 no.2
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    • pp.225-237
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    • 2006
  • Based on the study conducted by Kim et al. (205a, b), an improved stability design method for evaluating the effective buckling lengths of beam-column members is proposed herein, using system elastic/inelastic buckling analysis and second-order elastic analysis. For this purpose, the stress-strain relationship of a column is inversely formulated from the reference load-carrying capacity proposed in design codes, so as to derive the tangent modulus of a column as a function of the slenderness ratio. The tangent stiffness matrix of a beam-column element is formulated using the so-called "stability functions," and elastic/inelastic buckling analysis Effective buckling lengths are then evaluated by extending the basic concept of a single simply-supported column to the individual members as one component of a whole frame structure. Through numerical examples of several structural systems and loading conditions, the possibilities of enhancement in stability design for frame structures are addressed by comparing their numerical results obtained when the present design method is used with those obtained when conventional stability design methods are used.

Level Set Based Topological Shape Optimization of Hyper-elastic Nonlinear Structures using Topological Derivatives (위상 민감도를 이용한 초탄성 비선형 구조의 레벨셋 기반 위상 및 형상 최적설계)

  • Kim, Min-Geun;Ha, Seung-Hyun;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.6
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    • pp.559-567
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    • 2012
  • A level set based topological shape optimization method for nonlinear structure considering hyper-elastic problems is developed. To relieve significant convergence difficulty in topology optimization of nonlinear structure due to inaccurate tangent stiffness which comes from material penalization of whole domain, explicit boundary for exact tangent stiffness is used by taking advantage of level set function for arbitrary boundary shape. For given arbitrary boundary which is represented by level set function, a Delaunay triangulation scheme is used for current structure discretization instead of using implicit fixed grid. The required velocity field in the actual domain to update the level set equation is determined from the descent direction of Lagrangian derived from optimality conditions. The velocity field outside the actual domain is determined through a velocity extension scheme based on the method suggested by Adalsteinsson and Sethian(1999). The topological derivatives are incorporated into the level set based framework to enable to create holes whenever and wherever necessary during the optimization.

Geometric nonlinear analysis of steel structures with external pretension using the multi-noded cable element (다절점 케이블요소를 이용한 외부 긴장된 강구조 시스템의 기하학적 비선형해석)

  • Lee, Jun Seok;Kim, Moon Young;Han, Man Yop;Kim, Sung Bo;Kim, Nak Kyung
    • Journal of Korean Society of Steel Construction
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    • v.18 no.6
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    • pp.727-735
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    • 2006
  • In this paper, a geometric nonlinear analysis procedure of the beam-column element including multi-noded cable element in extension of companion paper (Kim et al., 2005) is presented. First, a stiffness matrix was derived about the beam-column element that considers the second effect of the initial force supposing the curved shape at each time-step, with Hermitian polynomials as the shape function. Second, the multi-noded cable element was also subjected to the tangent stiffness matrix. To verify the geometric nonlinearity of this newly developed multi-noded cable-truss element, the Innovative Prestressed Support (IPS) system using this theory was analysed by geometric nonlinear method and the results were compared with those produced by linear analysis.

Geometric Nonlinear F.E. Analysis of Plane Frames Including Effects of the Internal Hinge (내부(內部)힌지효과(效果)를 고려(考慮)한 평면(平面) 뼈대구조(構造)의 기하학적(幾何學的)인 비선형(非線型) 유한요소해석(有限要素解析))

  • Kim, Moon Young
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.1
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    • pp.93-103
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    • 1994
  • Two beam/column elements are developed in order to analyze the geometric nonlinear plane irames including the effects of internal hinge and transverse shear deformation. In the case of the first element (finite segment method), tangent stiffness matrix is derived by directly integrating the equilibrium equations whereas in the case of the second element (finite element method) elastic and goemetric stiffness matrices are calculated by using the hermitian polynomials including the effects of internal hinge and shear deformation as the shape function. Numerical results are presented for the selected test problems which demonstrate that both elements represent reliable and highly accurate tools.

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Dynamic Response of 3-D Cable-Stayed Bridge Considering the Sway Vibrational Effect of Stays (케이블 횡진동을 고려한 3차원 사장교의 동적거동)

  • 성익현
    • Journal of the Korean Society for Railway
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    • v.2 no.3
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    • pp.36-45
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    • 1999
  • The basic idea of cable-stayed girder bridges is the utilization of high strength cables to provide intermediate supports for the bridge girder so that the girder can span a much longer distance. In the cable-stayed bridge, the cables exhibit nonlinear behavior because of the change in sag, due to the dead weight of the cable, which occurs with changing tension in the cable resulting from the movement of the end points of the cable as the bridge is loaded. Techniques required for the static analysis of cable-stayed bridges has been developed by many researchers. However, little work has been done on the dynamic analysis of such structures. To investigate the characteristics of the dynamic response of long-span cable-stayed bridges due to various dynamic loadings likes moving traffic loads. two different 3-D cable-stayed bridge models are considered in this study. Two models are exactly the same in structural configurations but different in finite element discretization. Modal analysis is conducted using the deformed dead-load tangent stiffness matrix. A new concept was presented by using divided a cable into several elements in order to study the effect of the cable vibration (both in-plane and swinging) on the overall bridge dynamics. The result of this study demonstrates the importance of cable vibration on the overall bridge dynamics.

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Geometric Non-linear Analysis of the Plane Frame Structures including Shear Deformation Effect (전단변형(剪斷變形)을 고려(考慮)한 평면(平面)뼈대 구조물(構造物)의 기하적(幾何的)인 비선형(非線形) 해석(解析))

  • Kim, Moon Young;Chang, Sung Pil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.1
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    • pp.27-36
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    • 1990
  • Two beam/column elements in order to analyze the geometric nonlinear plane framed structures including the effects of transverse shear deformation and bending stretching coupling are developed. In the case of the first element (finite segment method), tangent stiffness matrix are derived by directly integrating the equilibrium equations whereas in the case of the second element (finite element method) elastic and geometric stiffness matrices are calculated by using the hermitian polynomials including shear deformation effect as the shape function. Both elements possess the usual six degree of freedoms. Numerical results are presented for the selected test problems which demonstrate that both elements represent reliable and highly accurate tools.

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