• Steel and Composite Structures
• /
• 제31권5호
• /
• pp.503-516
• /
• 2019

This work presents a dynamic investigation of functionally graded (FG) plates resting on elastic foundation using a simple quasi-3D higher shear deformation theory (quasi-3D HSDT) in which the stretching effect is considered. The culmination of this theory is that in addition to taking into account the effect of thickness extension (${\varepsilon}_z{\neq}0$), the kinematic is defined with only 4 unknowns, which is even lower than the first order shear deformation theory (FSDT). The elastic foundation is included in the formulation using the Pasternak mathematical model. The governing equations are deduced through the Hamilton's principle. These equations are then solved via closed-type solutions of the Navier type. The fundamental frequencies are predicted by solving the eigenvalue problem. The degree of accuracy of present solutions can be shown by comparing it to the 3D solution and other closed-form solutions available in the literature.

• 디지털콘텐츠학회 논문지
• /
• 제5권3호
• /
• pp.176-179
• /
• 2004

효율적인 물체인식을 위해서는 물체의 형상특징을 직선적으로 기술할 수 있는 체적소 기반 물체 표현 방법이 필요하다. 본 논문에서는 몇 개의 계수를 가지고 3차원 정보를 효과적으로 표현할 수 있는 superquadric을 이용하여 기본적인 3차원 물체를 모델링 한다. 그리고 보다 복잡하고 정교한 물체의 표현을 위해서 변형된 superquadric을 함에 이용한다. 이렇게 만들어진 개개의 3차원 모델에 z-buffer 알고리즘을 적용하여 하나의 완전한 3차원 물체로 표현하는 방법을 제시하고 실험을 통해 그 유용성을 입증하였다.

• 한국광학회지
• /
• 제1권1호
• /
• pp.12-15
• /
• 1990

홀로그래피 간섭법과 스펙클 사진법을 결합한 홀로스펙클 간섭법을 이용하여 3차원 변형을 측정하였다. 이 방법은 이중노출된 하나의 사진건판으로부터 종변위와 횡변위를 모두 알아낼 수 있어 3차원 변형측정에 매우 유용하게 사용되고 있다. 본 연구에서는 물체의 일부분에 밀집되어 일어나는 변형을 측정하기 위하여 image holography에 기초를 둔 광학시스템을 구성하였다. 시스템의 배율을 적절히 증가시키고 기준파의 세기를 감소시킴으로써 보통의 홀로그램에 비해 스펙클의 효과를 증대시켰다. 이로써 가시도가 높은 Young의 무늬 뿐만 아니라 확대되고 명확한 홀로 그래피 간섭무늬를 얻을 수 있어 indentor에 의한 3차원 접촉변형을 측정하였다.

• 대한기계학회논문집
• /
• 제19권6호
• /
• pp.1439-1450
• /
• 1995

Bellows is a familiar component in piping systems as it provides a relatively simple means of absorbing thermal expansion and providing system flexibility. In routine piping flexibility analysis by finite element methods, bellows is usually considered to be straight pipe runs modified by an appropriate flexibility factor; maximum stresses are evaluated using a corresponding stress concentration factor. The aim of this study is to develop a bellows finite element, which similarly includes more complex shell type deformation patterns. This element also does not require flexibility or stress factors, but evaluates more detailed deformation and stress patterns. The proposed bellows element is a 3-D, 2-noded line element, with three degrees of freedom per node and no bending. It is formulated by including additional 'internal' degrees of freedom to account for the deformation of the bellows corrugation; specifically a quarter toroidal section of the bellows, loaded by axial force, is considered and the shell type deformation of this is include by way of an approximating trigonometric series. The stiffness of each half bellows section may be found by minimising the potential energy of the section for a chosen deformation shape function. An experiment on the flexibility is performed to verify the reliability for bellows finite element.

• Advances in materials Research
• /
• 제5권4호
• /
• pp.223-244
• /
• 2016

In this paper, a higher order shear and normal deformation theory is presented for functionally graded material (FGM) plates. By dividing the transverse displacement into bending, shear and thickness stretching parts, the number of unknowns and governing equations for the present theory is reduced, significantly facilitating engineering analysis. Indeed, the number of unknown functions involved in the present theory is only five, as opposed to six or even greater numbers in the case of other shear and normal deformation theories. The present theory accounts for both shear deformation and thickness stretching effects by a hyperbolic variation of ail displacements across the thickness and satisfies the stress-free boundary conditions on the upper and lower surfaces of the plate without requiring any shear correction factor. Equations of motion are derived from Hamilton's principle. Analytical solutions for the bending and free vibration analysis are obtained for simply supported plates. The obtained results are compared with three-dimensional and quasi- three-dimensional solutions and those predicted by other plate theories. It can be concluded that the present theory is not only accurate but also simple in predicting the bending and free vibration responses of functionally graded plates.

• Geomechanics and Engineering
• /
• 제21권6호
• /
• pp.551-564
• /
• 2020

High-stress and complex geological conditions impose great challenges to maintain excavation stability during deep underground mining. In this research, large anisotropic deformation and its management by support system at a deep underground mine in Western Australia were simulated through three-dimensional finite-difference model. The ubiquitous-joint model was used and calibrated in FLAC3D to reproduce the deformation and failure characteristics of the excavation based on the field monitoring results. After modeling verification, the roles of mining depth also the intercept angle between excavation axis and foliation orientation on the deformation and damage were studied. Based on the results, quantitative relationships between key factors and damage classifications were presented, which can be used as an engineering tool. Subsequently, the performance of support system installation sequences was simulated and compared at four different scenarios. The results show that, first surface support and then reinforcement installation can obtain a better controlling effect. Finally, the influence of bolt spacing and ring spacing were also discussed. The outcomes obtained in this research may play a meaningful reference for facing the challenges in thin-bedded or foliated ground conditions.

• 소성∙가공
• /
• 제28권2호
• /
• pp.98-104
• /
• 2019

The present study numerically simulates the deformation heterogeneity developed in AA1100 during multi-axial diagonal forging (MADF) using finite element analysis (FEA). Diagonal forging type consisting of diagonal forging (DF) and return-diagonal forging (R-DF) proved to be relatively beneficial compared to plane forging type which includes plane forging (PF) and return-plane forging (R-PF) for minimizing the non-uniformity of deformation developed in workpieces. Simulation of the effective strain generated in workpieces during the two types of forging was done using 3-D FEA. FEA shows the effect of friction coefficient on the deformation behavior on workpieces. The simulation of 2 types forging with different friction coefficients revealed that the magnitude of barreling effect and strain heterogeneity in workpieces increases with an increase in the friction coefficient.

• Steel and Composite Structures
• /
• 제42권1호
• /
• pp.75-90
• /
• 2022

The pointwise equilibrium polynomial (PEP) element considering local second-order effect has been widely used in direct analysis of many practical engineering structures. However, it was derived according to Euler-Bernoulli beam theory and therefore it cannot consider shear deformation, which may lead to inaccurate prediction for deep beams. In this paper, a novel beam-column element based on Timoshenko beam theory is proposed to overcome the drawback of PEP element. A fifth-order polynomial is adopted for the lateral deflection of the proposed element, while a quadric shear strain field based on equilibrium equation is assumed for transverse shear deformation. Further, an additional quadric function is adopted in this new element to account for member initial geometrical imperfection. In conjunction with a reliable and effective three-dimensional (3D) co-rotational technique, the proposed element can consider both member initial imperfection and transverse shear deformation for second-order direct analysis of frame structures. Some benchmark problems are provided to demonstrate the accuracy and high performance of the proposed element. The significant adverse influence on structural behaviors due to shear deformation and initial imperfection is also discussed.

• Geomechanics and Engineering
• /
• 제12권4호
• /
• pp.723-738
• /
• 2017

Rock is a heterogeneous material, which introduces complexity in the analysis of rock slopes, since both the existing discontinuities within the rock mass and the intact rock contribute to the degradation of strength. Rock failure is often catastrophic due to the brittle nature of the material, involving the sliding along structural planes and the fracturing of rock bridge. This paper proposes an advanced discretization method of rock mass based on block theory. An in-house software, GeoSMA-3D, has been developed to generate the discrete fracture network (DFN) model, considering both measured and artificial joints. Measured joints are obtained from the photogrammetry analysis on the excavation face. Statistical tools then facilitate to derive artificial joints within the rock mass. Key blocks are searched to provide guidance on potential reinforcement measures. The discretized blocky system is subsequently implemented into a discontinuous deformation analysis (DDA) code. Strength reduction technique is employed to analyze the stability of the slope, where the factor of safety can be obtained once excessive deformation of slope profile is observed. The combined analysis approach also provides the failure mode, which can be used to guide the choice of strengthening strategy if needed. Finally, an illustrated example is presented for the analysis of a rock slope of 20 m height inclined at $60^{\circ}$ using combined GeoSMA-3D and DDA calculation.

• 대한토목학회논문집
• /
• 제26권6A호
• /
• pp.935-941
• /
• 2006

지진과 같은 동적반복하중을 받은 강구조물은 정적하중시와 다른 이력거동을 보인다. 이는 동적변형중인 구조용 강재는 정적상태와 다른 역학적 특성 및 응력-변형률 관계를 보이기 때문이다. 즉, 지진하중을 받는 원형 강기둥과 같은 강구조물의 이력거동을 정확히 예측하기 위해서는 정동적 변형 상태를 가정한 재하속도에 따른 대상구조물 내하력 및 변형의 차이점을 명확히 파악해야 한다. 이에 본 연구에서는 저자에 의해 제안된 SM490강재의 동적 반복소성모델과 이를 적용한 3차원 탄소성 유한요소해석을 이용하여 재하속도와 지름-두께(D/t)비를 변수로한 SM490 원형강기동의 동적해석을 수행하였다. 해석 결과를 통하여 정적에서 동적변형상태로 재하속도 변화에 따른 SM490 원형강기둥의 이력거동 특성 즉, 내하력 및 에너지소산효율의 변화를 명확히 파악하였다.