• Journal of Korean Society of Steel Construction
• /
• v.10 no.3 s.36
• /
• pp.509-523
• /
• 1998

A consistent finite element formulation and analytic solutions are presented for stability of thin-walled circular arch. The total potential energy is derived by applying the principle of linearized virtual work and including second order terms of finite semitangential rotations. As a result, the energy functional corresponding to the semitangential moment is newly derived. Analytic solutions for the out-of-plane buckling of symmetric thin-walled curved beam subjected to pure bending or uniform compression with simply supported boundary conditions are obtained. For finite element analysis, the cubic Hermitian polynomials are utilized as shape functions and $16{\times}16$ stiffness matrix for curved beam elements and $14{\times}14$ stiffness matrix for straight beam elements are evaluated, respectively. In order to illustrate the accuracy of this study, analytical and numerical results for lateral buckling problems of circular arch are presented and compared with available analytical solutions.

• Proceedings of the Korean Society for Rock Mechanics Conference
• /
• 2000.09a
• /
• pp.105-115
• /
• 2000

As large underground projects such as radioactive waste disposal, hot water and heat storage, and geothermal energy become influential, the study, which consider all aspects of thermics, hydraulics and mechanics would be needed. Thermo Hydro-Mechanical coupling analysis is one of the most complex numerical technique because it should be implemented with the combined three governing equations to analyze the behavior of rock mass. In this study, finite element code, which is based on Biot's consolidation theory, was developed to analyze the thermo-hydro-mechanical coupling in continuum rock mass. To verify the implemented program, one-dimensional consolidation model under the isothermal and non-isothermal conditions was analyzed and was compared with the analytic solution. The parametric study on two-dimensional consolidation was also performed and the effects of several factors such as poisson's ratio and hydraulic anisotropy on rock mass behavior were investigated. In the future, this program would be revised to be used for analysis of general discontinuous media with incorporating discrete joint model.

• Tunnel and Underground Space
• /
• v.10 no.3
• /
• pp.355-365
• /
• 2000

As large underground projects such as radioactive waste disposal, hot water and heat storage, and geothermal energy become influential, the study, which consider all aspects of thermics, hydraulics and mechanics would be needed. Thermo-Hydro-Mechanical coupling analysis is one of the most complex numerical technique because it should be implemented with the combined three governing equations to analyze the behavior of rock mass. In this study, finite element code, which is based on Biot's consolidation theory, was developed to analyze the thermo-hydro-mechanical coupling in continuum rock mass. To verify the implemented program, one-dimensional consolidation model under the isothermal and non-isothermal conditions was analyzed and was compared with the analytic solution. The parametric study on two-dimensional consolidation was also performed and the effects of several factors such as poisson's ratio and hydraulic anisotropy on rock mass behavior were investigated. In the future, this program would be revised to be used for analysis of general discontinuous media with incorporating discrete joint model.

• Proceedings of the Korean Information Science Society Conference
• /
• 2005.11b
• /
• pp.619-621
• /
• 2005

햅틱 장치를 이용한 변형체의 실시간 시뮬레이션은 가상현실을 구축하기 위한 중요한 기술의 하나로서 최근에 크게 각광받고 있다. 본 연구에서는 햅틱 장비와 변형체의 정확한 인터페이스를 구축하기 위하여 변형체의 물리적 특성을 고려한 연속체적 모델인 유한요소법을 통한 선행해석을 수행한다. 변형체와 햅틱 장치의 상호작용 과정에서 발생하는 변형과 반력을 사용자에게 실시간으로 제공하기 위하여 선행해석 결과를 이용한 변형체의 정적 시뮬레이션을 구현한다. 이와 함께 햅틱 장치와 접촉이 이루어지는 부분의 변형을 보다 자연스럽게 표현하기 위하여 적응적 유한요소법인 s-adaptive 방법을 적용하였으며 햅틱 장치와 접촉이 끝난 후의 변형체가 평형 상태로 돌아가는 과정을 모사하기 위하여 Newmark scheme을 통한 동적 시뮬레이션을 구현한다. 또한 최적화 행렬 연산 함수인 BLAS와 LAPACK을 이용하여 행렬 연산을 빠르게 수행하고 효율적인 메모리 사용 추구한다.

• Proceedings of the KSEG Conference
• /
• 2004.03a
• /
• pp.11001-11050
• /
• 2004

불연속면 또는 단열은 암반 내의 역학적 분리면을 통칭하는 것으로서 암반 내의 작은 흠집이나 물리적으로 불균질한 곳이나 불연속면 주위에 응력이 집중되어 초래되는 변형의 결과이다. 불연속면은 정압, 지체구조적, 그리고 열적 응력 및 높은 수압에 반응하여 형성되며, 아주 미세한 것부터 대륙 규모에 걸쳐 다양한 크기로 발달한다. 불연속면은 연속체로서의 암반을 물리적으로 분리시키기 때문에 그 자체로서 역학적인 약대에 해당되고, 지하수의 유동 통로의 기능도 하기 때문에 지질공학, 지반공학 및 수리지질학 실무에서 매우 중요한 요소로 작용한다. 경제적으로 중요한 석유, 지열 및 수자원 저류체 역시 단열 암반 내에 형성된다. 불연속면은 오염물질의 이동과 분산을 제어할 뿐만 아니라 암반을 기초로 하거나 대상으로 하는 공학적 구조물과 굴착의 안정성에도 역시 영향을 미친다. (중략)

• Tunnel and Underground Space
• /
• v.10 no.3
• /
• pp.278-290
• /
• 2000

불연속면이 발달한 암반 내에서 터널을 굴착하는 경우 불연속면을 고려한 터널의 역학적 안정성을 검토하는 것이 중요하다. 불연속 암반 내에 터널을 굴착하게 되면 대부분의 거동은 불연속면에서 발생하게 된다. 이는 암반블록보다 암반 내 불연속면의 강성이 현저하게 작기 때문이다. 불연속면을 고려한 터널의 안정성 해석은 암반을 연속체로 가정할 때 필요한 입력변수 외에 여러 종류의 입력변수가 추가로 필요하다.(중략)

• The Journal of Engineering Geology
• /
• v.20 no.1
• /
• pp.13-23
• /
• 2010

Toppling failure of a slope is defined as failure behavior accompanying the rotation of rock block which is different from other failure such as sliding along with discontinuities and so on. It generally occurs in the region that discontinuities were developed with inverse dip direction to a slope and it could play a critical role in judging stability of slope. In this study, the stability evaluation was performed about toppling failure on a jointed road cut-slope. To check the deformation behavior, numerical analysis is widely used. However common analysis programs are based on continuum model. Recently, many methods that discontinuity properties can be considered in continuum analysis are suggested. In this study, numerical analysis based on FEM(Finite Element Method) was performed using interface element applied in heterogeneous boundary to simulate effects of discontinuities.

• KSCE Journal of Civil and Environmental Engineering Research
• /
• v.14 no.1
• /
• pp.29-38
• /
• 1994

Linear composite theory as well as a finite element program is developed for axisymmetric elastomeric bearings. This study is limited to axisymmetrically loaded horizontal layered systems with linear, elastic, small' deformation conditions. A multiscale method is used in the development of the composite theory which enables us to model inhomogeneous layered composites as equivalent homogeneous, orthotropic material. Only continuity of the prime variables is required for the finite element analysis, allowing the use of simple $C_o$ elements whereas rather complicated theories presented in the past need more requirements. Four node isoparametric elements are used in the study. The developed theory of this paper is limited to linear conditions, however, the analysis can be extended to nonlinear behavior of flexible material in elastomeric bearing by using multiscale method presented here. Two numerical examples are examined and compared to the results of discrete and previously obtained composite analysis to verify the theory.

• Transactions of the Korean Society of Mechanical Engineers
• /
• v.16 no.6
• /
• pp.1021-1029
• /
• 1992

A rational and straightforward method is introduced for developing continuum models of large platelike periodic lattice structures based on energy equivalence. The procedure for developing continuum plate models involves the use of existing well-defined finite element matrices for the easy calculation of strain and kinetic energies of a repeating cell, from which the reduced stiffness and mass matrices are obtained in terms of continuum degrees- of-freedom defined in this paper. The equivalent continuum plate properties are obtained from the direct comparison of the reduced matrices for continuum plate with those for lattice plate. The advantages of the present continuum method are that it may be applied to arbitrary lattice configurations and may give most diverse equivalent continuum plate properties including all kinds of coupling, while other methods may give only limited structural properties. To evaluate the continuum method developed in this paper, free vibration analyses for both of continuum and lattice plates are conducted. Numerical results show that the present continuum method gives very reliable structural and dynamic properties compared to other well-recognized methods.

• Journal of the Computational Structural Engineering Institute of Korea
• /
• v.35 no.5
• /
• pp.309-316
• /
• 2022

This study proposes a finite element analysis method that can analyze the vibration of a beam by considering the inertia effect of moving masses in a vertical direction. The proposed method is effective when a precise interaction analysis is not required. The inertial effects of the moving masses are included in the equation of motion, and the interaction forces between the masses and the beam are considered only as external loads. Time domain analyses were performed using Abaqus, a general-purpose finite element analysis software, and an implementation method using multi-point constraints wais presented to link the displacements of the beam element nodes and moving rigid masses. The proposed method was verified by comparing its solution with that obtained using an existing analytical method, and the analysis results for continuous beam vibrations under dynamic gait loadings were used to examine the mass effect of pedestrians.