• Title/Summary/Keyword: linear elastic analysis

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Elasto-plastic Anisotropic Wood Material Model for Finite Solid Element Applications (탄소성이방성 솔리드 유한요소법 활용을 위한 목재 재료 모델 생성 연구)

  • Hong, Jung-Pyo;Kim, Chul-Ki;Lee, Jun-Jae;Oh, Jung-Kwon
    • Journal of the Korean Wood Science and Technology
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    • v.42 no.4
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    • pp.367-375
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    • 2014
  • A simplified material model, which was efficiently implemented in a three-dimensional finite solid element (3D FE) analysis for wood was developed. The bi-linear elasto-plastic anisotropic material theory was adopted to describe constitutive relations of wood in three major directions including longitudinal, radial and tangential direction. The assumption of transverse isotropy was made to reduce the requisite 27 material constants to 6 independent constants including elastic moduli, yield stresses and Poisson's ratios in the parallel, and perpendicular to grain directions. The results of Douglas fir compression tests in the three directions were compared to the 3D FE simulation incorporated with the wood material model developed in this study. Successful agreements of the results were found in the load-deformation curves and the permanent deformations. Future works and difficulties expected in the advanced application of the model were discussed.

Geometrically Non linear Analysis of Space Frames Including Shear Deformation Effects (전단변형(剪斷變形)을 고려(考慮)한 공간(空間) 뼈대구조(構造)의 기하학적(幾何學的)인 비선형(非線形) 해석(解析))

  • Kim, Moon Young
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.4
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    • pp.39-49
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    • 1993
  • In order to present the geometrically nonlinear F.E. formulation of space frames, two beam/column elements including the effects of transverse shear deformation and bending stretching coupling are developed. In the case of the first element (Finite segment method), the tangent stiffness matrices 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 twelve degrees of freedom. Also, the bowing function including shear deformation effects is obtained in order to account for the effect of shortening of member chord length due to the bending and torsional behavior. Numerical results are presented for the selected test problems which demonstrate that both elements represent reliable and highly accurate tools.

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Buckling of thick deep laminated composite shell of revolution under follower forces

  • Khayat, Majid;Poorveis, Davood;Moradi, Shapour;Hemmati, Mona
    • Structural Engineering and Mechanics
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    • v.58 no.1
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    • pp.59-91
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    • 2016
  • Laminated composite shells are commonly used in various engineering applications including aerospace and marine structures. In this paper, using semi-analytical finite strip method, the buckling behavior of laminated composite deep as well as thick shells of revolution under follower forces which remain normal to the shell is investigated. The stiffness caused by pressure is calculated for the follower forces subjected to external fibers in thick shells. The shell is divided into several closed strips with alignment of their nodal lines in the circumferential direction. The governing equations are derived based on first-order shear deformation theory which accounts for through thickness-shear flexibility. Displacements and rotations in the middle surface of shell are approximated by combining polynomial functions in the meridional direction as well as truncated Fourier series with an appropriate number of harmonic terms in the circumferential direction. The load stiffness matrix which accounts for variation of loads direction will be derived for each strip of the shell. Assembling of these matrices results in global load stiffness matrix which may be un-symmetric. Upon forming linear elastic stiffness matrix called constitutive stiffness matrix, geometric stiffness matrix and load stiffness matrix, the required elements for the second step analysis which is an eigenvalue problem are provided. In this study, different parameter effects are investigated including shell geometry, material properties, and different boundary conditions. Afterwards, the outcomes are compared with other researches. By considering the results of this article, it can be concluded that the deformation-dependent pressure assumption can entail to decrease the calculated buckling load in shells. This characteristic is studied for different examples.

The Mechanical Properties of Limestones Distributed in Jecheon (제천지역 석회암의 역학적 특성에 관한 연구)

  • Kim, Jong Woo;Kim, Min Sik;Kim, Pyoung Gi;Nor, Seung Jae;Park, Chan;Jo, Young Do;Park, Sam Gyu
    • Tunnel and Underground Space
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    • v.22 no.5
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    • pp.354-364
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    • 2012
  • In order to evaluate the physical properties of rock which might serve as a database for both mining and civil works, a lot of laboratory tests for Jecheon limestones were conducted to find unit weight, absorption ratio, porosity, elastic wave velocity, uniaxial compressive strength, Young's modulus, poisson's ratio, tensile strength, shore hardness, friction angle and cohesion. On investigation of the mechanical properties of both the gray limestone and the clayey limestone distributed in the studied region, the clayey limestone turned out to have more weak mechanical properties which might come from low unit weight, high absorption ratio and high porosity of rocks. The failure criteria of Jecheon limestones were discussed by means of both Mohr-Coulomb criterion and Hoek-Brown criterion. Regression analyses of the physical properties obtained from a lot of laboratory tests were also conducted by means of both linear and multiple regression analyses.

Strut-Tie Model Evaluation of Haunch Effects in Concrete Structures (스트럿-타이 모델에 의한 콘크리트 구조물에서의 헌치부 영향 평가)

  • Yun, Young-Mook;Kim, Byung-Hun;Lee, Won-Seok
    • Journal of the Korea Concrete Institute
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    • v.15 no.2
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    • pp.183-196
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    • 2003
  • This paper evaluates the effects of haunches and the characteristic differences of haunch design regulations through design of pier and box structures with/without haunches. The design of the pier and box structures was conducted by using the linear elastic plane stress finite element analysis, the DIN 1045 and ACI 318-99 codes, the suggested experimental design equations, and the strut-tie model approach. To prove the validity of design results obtained by the strut-tie model approach, the ultimate strength of two haunched reinforced concrete beams tested to failure was evaluated by using the approach. According to the comparison and evaluation of the design results, it is concluded that the design results of haunched reinforced concrete structures by using conventional and design codes need to be complemented with those by using the strut-tie model approach that reflected the effects of haunches in design comparatively well through the actions of arch and direct transfer of applied loads.

Deformation Behavior of MEMS Gyroscope Package Subjected to Temperature Change (온도변화에 따른 MEMS 자이로스코프 패키지의 미소변형 측정)

  • Joo Jin-Won;Choi Yong-seo;Choa Sung-Hoon;Kim Jong-Seok;Jeong Byung-Gil
    • Journal of the Microelectronics and Packaging Society
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    • v.11 no.4 s.33
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    • pp.13-22
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    • 2004
  • In MEMS devices, packaging induced stress or stress induced structure deformation become increasing concerns since it directly affects the performance of the device. In this paper, deformation behavior of MEMS gyroscope package subjected to temperature change is investigated using high-sensitivity moire interferometry. Using the real-time moire setup, fringe patterns are recorded and analyzed at several temperatures. Temperature dependent analyses of warpages and extensions/contractions of the package are presented. Linear elastic behavior is documented in the temperature region of room temperature to $125^{\circ}C$. Analysis of the package reveals that global bending occurs due to the mismatch of thermal expansion coefficient between the chip, the molding compound and the PCB. Detailed global and local deformations of the package by temperature change are investigated, concerning the variation of natural frequency of MEMS gyro chip.

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P-Version Model Based on Hierarchical Axisymmetric Element (계층적 축대칭요소에 의한 P-version모델)

  • Woo, Kwang Sung;Chang, Yong Chai;Jung, Woo Sung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.4_1
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    • pp.67-76
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    • 1992
  • A hierarchical formulation based on p-version of the finite element method for linear elastic axisymmetric stress analysis is presented. This is accomplished by introducing additional nodal variables in the element displacement approximation on the basis of integrals of Legendre polynomials. Since the displacement approximation is hierarchical, the resulting element stiffness matrix and equivalent nodal load vectors are hierarchical also. The merits of the propoosed element are as follow: i) improved conditioning, ii) ease of joining finite elements of different polynomial order, and iii) utilizing previous solutions and computation when attempting a refinement. Numerical examples are presented to demonstrate the accuracy, efficiency, modeling convenience, robustness and overall superiority of the present formulation. The results obtained from the present formulation are also compared with those available in the literature as well as with the analytical solutions.

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Seismic loss-of-support conditions of frictional beam-to-column connections

  • Demartino, Cristoforo;Monti, Giorgio;Vanzi, Ivo
    • Structural Engineering and Mechanics
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    • v.61 no.4
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    • pp.527-538
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    • 2017
  • The evaluation of the loss-of-support conditions of frictional beam-to-column connections using simplified numerical models describing the transverse response of a portal-like structure is presented in this paper considering the effects of the seismic-hazard disaggregation. Real earthquake time histories selected from European Strong-motion Database (ESD) are used to show the effects of the seismic-hazard disaggregation on the beam loss-of-support conditions. Seismic events are classified according to different values of magnitudes, epicentral distances and soil conditions (stiff or soft soil) highlighting the importance of considering the characteristics of the seismic input in the assessment of the loss-of-support conditions of frictional beam-to-column connections. A rigid and an elastic model of a frame of a precast industrial building (2-DoF portal-like model) are presented and adopted to find the minimum required friction coefficient to avoid sliding. Then, the mean value of the minimum required friction coefficient with an epicentral distance bin of 10 km is calculated and fitted with a linear function depending on the logarithm of the epicentral distance. A complete parametric analysis varying the horizontal and vertical period of vibration of the structure is performed. Results show that the loss-of-support condition is strongly influenced by magnitude, epicentral distance and soil conditions determining the frequency content of the earthquake time histories and the correlation between the maxima of the horizontal and vertical components. Moreover, as expected, dynamic characteristics of the structure have also a strong influence. Finally, the effect of the column nonlinear behavior (i.e. formation of plastic hinges at the base) is analyzed showing that the connection and the column are a series system where the maximum force is limited by the element having the minimum strength. Two different longitudinal reinforcement ratios are analyzed demonstrating that the column strength variation changes the system response.

Structural Optimization of Active Vehicle Suspension Systems (능동형 차량 현가장치의 성능 향상을 위한 구조 최적화)

  • 김창동;정의봉
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1381-1388
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    • 1993
  • This paper presents a method for the simultaneous optimal design of structural and control systems. Sensitivities of performance index with respect to structural design variables are analyzed. The structural design variables are optimized to minimize the performance index by use of conjugate gradient method. The method is applied to a half model of an active vehicle suspension system with elastic body moving on a randomly profiled road. The suspension control force of an optimally controlled system in the presence of measurement errors are calculated by use of linear quadratic Gaussian control theory and Kalman filter theory. The performance index contains ride comfort, road holding and working space of suspension. The structural design variables taken are stiffness, daming properties and the position of the suspension system. The random road profile considered as colored noise is shaped from white noise by use of shaping filter. The performance of an optimal simultaneous structure/control system is compared with that of an optimal controlled system.

A Biomechanical Analysis of Stress Transfer Behaviors Within the Necrotic Area of Femoral Head secondary to Changes in Core Placement Direction on Various Distributions of Necrotic Areas in the Osteonecrosis of the Femoral Head (대퇴골두 무혈성 괴사증에 있어서 괴사 영역의 위치와 천공방향의 변화에 따른 대퇴골두 괴사영역에서의 응력 변화 분석에 대한 생체역학적인 고찰)

  • Lim, D.H.;Lee, S.J.;Kim, J.S.;Shin, J.W.;Kim, Y.S.
    • Proceedings of the KOSOMBE Conference
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    • v.1998 no.11
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    • pp.157-158
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    • 1998
  • The purpose of this study was to test the hypothesis that even very small change of the cue direction in the treatment of the early osteonecrosis could affect the outcomes of operation. For this, the changes in stress transfer within the necrotic area of the femoral head were investigated under various directions and placements of the core utilizing finite element method. The loading of 3188N, which represents after-heel-strike, was imposed in cubic cosine pattern. All nodes on the most distal surface of the model were constrained in all directions. All materials included were assumed to have linear-elastic behavior. The result says that the critical stress, which causes collapse of the femoral head, was reduced when the core was oriented toward the posterior side of the femoral head regardless of location of the necrotic area. The same result was obtained either fibular bone grafting or cementation was adopted. As a consequence, the biomechanical study suggests that the core should be directed toward the loading point where the resultant force is applied to get more desirable treatment of the osteonecrosis of the femoral head in the early stage.

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