• Title/Summary/Keyword: 유효강성행렬

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Computational Efficiency of 3-D Contact Analysis by Domain/Boundary Decomposition Formulation (영역/경계 분할 정식화에 의한 삼차원 접촉 해석의 효율성 검토)

  • Kim, Yong-Uhn;Ryu, Han-Yeol;Shin, Eui-Sup
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.4
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    • pp.469-476
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    • 2007
  • A domain/boundary decomposition technique is applied to carry out efficient finite element analyses of 3-D contact problems. Appropriate penalty functions are selected for connecting an interface and contact interfaces with neighboring subdomains that satisfy continuity constraints. As a consequence, all the effective stiffness matrices have positive definiteness, and computational efficiency can be improved to a considerable degree. If necessary, any complex-shaped 3-D domain can be divided into several simple-shaped subdomains without considering the conformity of meshes along the interface. With a set of numerical examples, the basic characteristics of computational efficiency are investigated carefully.

Evaluation of Compressive Strength of Assembled Column System Reinforced with Cross-Arms and Stayed Struts (수평재 및 사재로 보강된 조립기둥시스템의 압축강도 평가)

  • Kim, Kyung Sik;Park, Hyun Yong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.6
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    • pp.2169-2179
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    • 2013
  • The compressive strengths of simply supported columns may be significantly increased by reinforcing them with an assemblage of cross-arms and stayed struts connecting both ends of the columns and the cross-arm members. The purpose of the stayed struts and cross-arms is to introduce partial restraints against translation and rotation, thereby decreasing the effective buckling length of the column. In this study, buckling strengths of the assembled column system have been quantitatively evaluated from the theoretical methods based on both the equivalent spring model and the stiffness matrix formulation. And the results were compared with those from elastic/inelastic analysis using a finite element analysis package program, ABAQUS, for verification purpose. Expected compressive strength curves have been proposed for the assembled column system as a function of slenderness ratio of the simply supported column.

Determination of the Accurate Effective Length for Buckling Design of Cable-Supported Bridges (케이블지지교량의 좌굴설계를 위한 유효좌굴길이 산정)

  • Jin, Man Sik;Kyoung, Yong Soo;Lee, Myung Jae;Kim, Moon Young
    • Journal of Korean Society of Steel Construction
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    • v.16 no.3 s.70
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    • pp.355-363
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    • 2004
  • In order to obtain the effective length factor of beam-column members of plane frames, this paper extensively used an alignment chart approach, based on the nomograph given in LRFD-AISC specification commentaries. However, it should be noted that various simplifications and assumptions were introduced in constructing the alignment chart. To overcome the practical limitations of the alignment chart, this paper proposes a simple but accurate procedure that determined the effective buckling length for stability design of main members of cable-supported bridges. This method requires the full system buckling analysis. The numerical examples showing the suitability of the present scheme are discussed and some conclusions are drawn.

Numerical Implication of Concrete Material Damage at the Finite Element Levels (콘크리트 재료손상에 대한 유한요소상의 의미)

  • Rhee, In-Kyu;Roh, Young-Sook;Kim, Woo
    • Journal of the Korea Concrete Institute
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    • v.18 no.1 s.91
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    • pp.37-46
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    • 2006
  • The principal objective of this study is to assess the hierarchical effects of defects on the elastic stiffness properties at different levels of observation. In particular, quantitative damage measures which characterize the fundamental mode of degradation in the form of elastic damage provide quite insightful meanings at the level of constitutive relations and at the level of structures. For illustration, a total of three model problems of increasing complexity, a 1-D bar structure, a 2-D stress concentration problem, and a heterogeneous composite material made of a matrix with particle inclusions. Considering a damage scenario for the particle inclusions the material system degrades from a composite with very stiff inclusions to a porous material with an intact matrix skeleton. In other damage scenario for the matrix, the material system degrades from a composite made of a very stiff skeleton to a disconnected assembly of particles because of progressive matrix erosion. The trace-back and forth of tight bounds in terms of the reduction of the lowest eigenvalues are extensively discussed at different levels of observation.

Numerical Homogenization in Concrete Materials Using Multi-Resolution Analysis (다중해상도해석을 이용한 콘크리트 재료의 수치적 동질화)

  • Rhee In-Kyu;Roh Young-Sook
    • Journal of the Korea Concrete Institute
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    • v.17 no.6 s.90
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    • pp.939-946
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    • 2005
  • The stiffness properties of heterogeneous concrete materials and their degradation were investigated at different-levels of observations with aids of the opportunities and limitations of multi-resolution wavelet analysis. The successive Haw transformations lead to a recursive separation of the stiffness properties and the response into coarse-and fine-scale features. In the limit, this recursive process results in a homogenization parameter which is an average measure of stiffness and strain energy capacity at the coarse scale. The basic concept of multi-resolution analysis is illustrated with one and two-dimensional model problems of a two-phase particulate composite representative of the morphology of concrete materials. The computational studies include the meso-structural features of concrete in the form of a hi-material system of aggregate particles which are immersed in a hardened cement paste taking due to account of the mismatch of the two elastic constituents.

An Improved Stability Design of Plane Frames using System Buckling and Second-order Elastic Analysis (탄성좌굴 고유치 및 2차 탄성해석법을 이용한 평면강절프레임의 개선된 좌굴설계법)

  • Song, Ju-Young;Kyung, Yong-Soo;Kim, Nam-Il;Kim, Moon-Young
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.2
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    • pp.159-168
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    • 2005
  • An improved stability design method for beam-columns of plane frames is proposed based on system buckling analysis and second-order elastic analysis. For this, the tangent stiffness matrix of beam-column elements is first derived using stability functions and a procedure for evaluating effective buckling lengths is reviewed using elastic system buckling analysis. And then the second-order analysis procedure is presented considering $P-\Delta$ effects and is compared with the closed-form solution through numerical examples. Design examples showing the validity of the proposed method we presented and their numerical results are compared with those obtained from the conventional stability design methods. Finally some useful conclusions are drawn.

A Study on Stress Recovery Analysis of Dimensionally Reducible Composite Beam Structure with High Aspect Ratio using VABS (VABS를 이용한 높은 세장비를 가진 복합재료 보 구조의 차원축소 및 응력복원 해석기법에 대한 연구)

  • Ahn, Sang Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.5
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    • pp.405-411
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    • 2016
  • This paper presented the theory related to a two dimensional linear cross-sectional analysis, recovery relationship and a one-dimensional nonlinear beam analysis for composite beam with initial twist and high aspect ratio. Using VABS including related theory, preceding research data of the composite wing structure has been modeled and compared. Cross-sectional analysis was performed and 1-D beam was modeled at cutting point including all the details of real geometry and material. The 3-D strain distribution and margin of safety at recovery point was calculated based on the global behavior of the 1-D beam analysis and visualize numerical results.

Thermomechanical Contact Analysis by Subdomain/Interface Finite Element Method (유한요소 부영역 결합법을 이용한 열기계학적 접촉 해석)

  • Shin, Eui-Sup;Jin, Ji-Man
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.11
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    • pp.7-14
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    • 2005
  • A subdomain-interface finite element method is suggested to solve a class of fully- coupled thermomechanical problems with contact boundaries. The penalty method is used for connecting subdomains that satisfy interface compatibility conditions. As a result, effective stiffness matrices are always positive definite, and computational efficiency can be improved to a considerable degree. Moreover, any complex-shaped domain can be divided into independently modeled subdomains without considering the conformity of meshes on interfaces. Using a computer code based on the present method, these advantageous features are shown through a set of numerical studies.

Study on the Dynamic Characteristics of a Manual Transmission Using Linear Models (선형모델을 이용한 수동변속기의 동적 특성 연구)

  • Yoon, Jong-Yun;Lee, Iljae
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.3
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    • pp.240-248
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    • 2013
  • Torsional vibrations, such as the gear rattle of the manual transmission in vehicle systems, are correlated with the firing stroke from the engine. These vibro-impacts can be examined based upon linear time-invariant analysis. In order to understand the gear dynamics, a specific manual transmission with a front-engine front-wheel drive configuration is investigated. A method to reduce the degrees of freedom is suggested based upon the eigensolutions and frequency response functions, which will lead to the development of an efficient matrix size. The dynamic characteristics of single- and dual-mass flywheels are then compared. The effect of the dual-mass flywheel is investigated based upon the mobility analysis, which will lead to understanding of the concepts for avoiding vibro-impacts. A linear time-invariant system model is examined by employing the effective clutch stiffness from a two-stage clutch damper. Thus, the relationship between the dynamic characteristics and the clutch damper can be predicted by assuming a combination of different stage stiffness levels.

A Study on the Prediction of the Mechanical Properties of Printed Circuit Boards Using Modal Parameters (모달 파라미터 정보를 활용한 PCB 물성 예측에 관한 연구)

  • Choo, Jeong Hwan;Jung, Hyun Bum;Hong, Sang Ryel;Kim, Yong Kap;Kim, Jae San
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.5
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    • pp.421-426
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    • 2017
  • In this study, we propose a method for predicting the mechanical properties of the printed circuit board (PCB) that has transversely isotropic characteristics. Unlike the isotropic material, there is no specific test standard for acquisition of the transversely isotropic properties. In addition, common material test methods are not readily applicable to that type of laminated thin plate. Utilizing the natural frequency obtained by a modal test and the sizing optimization technique provided in $OptiStruct^{(R)}$, the mechanical properties of a PCB were derived to minimize the difference between test and analysis results. In addition, the validity of the predicted mechanical properties was confirmed by the MAC (Modal Assurance Criteria) value of each of the compared mode shapes. This proposed approach is expected to be extended to the structural analysis for the design verification of the top product that includes a PCB.