• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제24권3호
• /
• pp.293-303
• /
• 2020

The present work aims to analyzed the transient thermoelastic stress analysis of a thin circular plate with uniform internal heat generation. Initially, the plate is characterized by a parabolic temperature distribution along the z-direction given by T = T₀(r, z) and perfectly insulated at the ends z = 0 and z = h. For times t > 0, the surface r = a is subjected to convection heat transfer with convection coefficient h_c and fluid temperature T_∞. The integral transform method used to obtain the analytical solution for temperature, displacement, and thermal stresses. The associated thermoelastic field is analyzed by making use of the temperature and thermoelastic displacement potential function. Numerical results are carried out with the help of computational software PTC Mathcad Prime-3.1 and shown in figures.

• 지구물리와물리탐사
• /
• 제14권3호
• /
• pp.220-226
• /
• 2011

탄성파동방정식에서는 변위가 수직 및 수평방향으로 정의된다. 실제 탐사에서는 수직변위와 수평변위를 모두 측정할 수 있기 때문에 이를 이용하여 방향성을 갖는 변위벡터를 구성할 수 있다. 본 연구에서는 이러한 변위벡터의 크기를 목적함수로 이용하는 주파수 영역 탄성파 파형역산 기법을 제안하고자 한다. 변위벡터 목적함수는 주파수 영역 파형역산 알고리듬에 적용할 경우 기존의 역전파 알고리듬과 동일한 방식으로 역산을 수행할 수 있다. 변위벡터 목적함수를 이용하여 Marmousi 모델과 SEG/EAGE 암염 모델의 합성탄성파 자료를 역산한 결과, 기존의 역산기법에 비해 RMS 오차가 안정적으로 감소하였다. 특히, Marmousi 모델의 밀도와 SEG/EAGE 암염 모델의 암염 하부의 저속도층을 실제 모델에 더 가깝게 구현할 수 있었다. 변위벡터의 크기를 목적함수로 사용할 경우 경사방향이 수치적으로 불안정한 형태로 정의되므로 이를 안정화시키기 위한 추가적인 연구가 필요할 것이다. 또한 본 논문에서 제안한 변위벡터 목적함수를 이용한 파형역산을 수행하기 위해서는 다성분 탐사자료 획득이 필수적이므로 육상탐사에서의 다성분 탐사나 해저면 다성분탐사(OBC, Ocean Bottom Cable) 등의 연구와 병행되어야 할 것이다.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제1권1호
• /
• pp.65-74
• /
• 1997

For two dimensional elasticity, we suggest a new complex variable method using the Navier's displacement equation. This method gives alternative displacement and stress formulae to those resulting from the Muskhelishvili's complex function method.

• Journal of the Optical Society of Korea
• /
• 제16권4호
• /
• pp.372-380
• /
• 2012

The optical method Digital Speckle Correlation Measurement (DSCM) has been extensively applied due its capability to measure the entire displacement field over a body surface. A formula of displacement measurement errors by the gradient-based DSCM method was derived. The errors were found to explicitly relate to the image grayscale errors consisting of sub-pixel interpolation algorithm errors, image noise, and subset deformation mismatch at each point of the subset. A power-law dependence of the standard deviation of displacement measurement errors on the subset size was established when the subset deformation was rigid body translation and random image noise was dominant and it was confirmed by both the numerical and experimental results. In a gradient-based algorithm the basic assumption is rigid body translation of the interrogated subsets, however, this is in contradiction to the real circumstances where strains exist. Numerical and experimental results also indicated that, subset shape function mismatch was dominant when the order of the assumed subset shape function was lower than that of the actual subset deformation field and the power-law dependence clearly broke down. The power-law relationship further leads to a simple criterion for choosing a suitable subset size, image quality, sub-pixel algorithm, and subset shape function for DSCM.

• 한국정밀공학회지
• /
• 제22권11호
• /
• pp.118-124
• /
• 2005

An automotive bushing is a device used in automotive suspension systems to reduce the load transmitted from the wheel to the frame of the vehicle. A bushing is a hollow cylinder, which is bonded to a solid steel shaft at its inner surface and a steel sleeve at its outer surface. The relation between the force applied to the shaft and the relative deformation of a bushing is nonlinear and exhibits features of viscoelasticity. In this paper, an automotive bushing is regarded as nonlinear viscoelastic incompressible material. Instron 8801 equipment was used for experimental res earch and ramp-to-constant displacement control test was used for data acquisition. Displacement dependent force relaxation function was obtained from the force extrapolation method and expressed as the explicit combination of time and displacement. Pipkin-Rogers model, which is the direct relation of force and displacement, was obtained and comparison studies between the experimental results and the Pipkin-Rogers results were carried out.

• Structural Engineering and Mechanics
• /
• 제80권6호
• /
• pp.737-747
• /
• 2021

The objective of seismic resilience is to maintain or rapidly restore the function of a building after an earthquake. An efficient tilt mechanism at the member level is crucial for the restoration of the main structure function; however, the damage resistance of the members should be the main focus. In this study, through a comparison with the classical Flamant theory of local loading in the elastic half-space, an elastomechanical solution for the axial-stress distribution of a reinforced-concrete (RC) rocking column was derived. Furthermore, assuming that the lateral displacement of the rocking column is determined by the contact surface rotation angle of the column end and bending and shear deformation of the column body, the load-lateral displacement mechanical model of the RC rocking column was established and validated through a comparison with finite-element simulation results. The axial-compression ratio and column-end strength were analyzed, and the results indicated that on the premise of column damage resistance, simply increasing the axial-compression ratio increases the lateral loading capacity of the column but is ineffective for improving the lateral-displacement capacity. The lateral loading and displacement of the column are significantly improved as the strength of the column end material increases. Therefore, it is feasible to improve the working performance of RC rocking columns via local reinforcement of the column end.

• 한국콘텐츠학회논문지
• /
• 제11권8호
• /
• pp.59-67
• /
• 2011

디지털 콘텐츠가 디자인, 만화, 영상 등의 각 분야에서 대세로 자리 잡아 가고 있는 추세이다. 많은 디지털콘텐츠가 포토샵에서 제작되거나 일부 작업 과정에서 활용되고 있다. 포토샵의 다양한 기능 중에서도 특히 채널은 원리적 이해와 사용법이 어렵지만 중요한 고급 기능임에는 분명하다. 채널과 Displacement map은 채널의 음영정보를 사용하고 있다는 점에서 공통점이 있다. 음영정보는 '흰색과 검은색 및 흰색과 검은색 사이의 무채색으로 구성되는 256단계의 정보'이다. 채널의 음영정보는 Displacement map에서 '이동'의 개념으로 사용된다. Displacement map은 'Displacement map 이미지'의 채널이 가진 음영정보를 분석하여 Displacement map이 적용되는 '원본 이미지'의 픽셀을 이동시킨다. 이것은 이동시키는 특성을 활용하기 위하여 채널의 음영정보를 만들 수 있음을 의미한다. 본 연구는 대표적인 CG 프로그램인 포토샵의 Displacement map에서 음영정보가 적용되는 원리를 분석하고자하였다. 공학적인 알고리즘 연구보다는 채널의 음영정보가 어떤 원리로 적용되는 지를 분석하여 음영정보의 원리적 이해를 정리하고 분석하는데 의미를 두고 있다.

• Structural Engineering and Mechanics
• /
• 제45권5호
• /
• pp.655-676
• /
• 2013

In this study, strength reduction factors and inelastic displacement ratios are investigated for SDOF systems with period range of 0.1-3.0 s considering soil structure interaction for earthquake motions recorded on soft soil. The effect of stiffness degradation on strength reduction factors and inelastic displacement ratios is investigated. The modified-Clough model is used to represent structures that exhibit significant stiffness degradation when subjected to reverse cyclic loading and the elastoplastic model is used to represent non-degrading structures. The effect of negative strain - hardening on the inelastic displacement and strength of structures is also investigated. Soil structure interacting systems are modeled and analyzed with effective period, effective damping and effective ductility values differing from fixed-base case. For inelastic time history analyses, Newmark method for step by step time integration was adapted in an in-house computer program. New equations are proposed for strength reduction factor and inelastic displacement ratio of interacting system as a function of structural period($\tilde{T}$, T) ductility (${\mu}$) and period lengthening ratio ($\tilde{T}$/T).

• 비파괴검사학회지
• /
• 제12권4호
• /
• pp.9-17
• /
• 1993

Three types of piezoelectric sensors to detect acoustic emission signals were developed and characterized. Epicentral displacement and velocity of a plate to have infinite boundary were calculated by convolution between a Green's function and a simulated source time function to show parabolic rising characteristic. The sensor calibration system set up was composed of a steel plate, a glass capillary, an indentor and a load cell indicator The transient elastic signals were detected by the sensors. The results were compared with the theoretical results and Fast Fourier Transformed. As the results, the sensor fabricated using a disk shape of a piezoelectric PZT element showed resonant characteristics. The sensors fabricated using a conical shape PZT element and a PVDF polymer film showed the wide band characteristics for particle displacement and velocity, respectively. The calculated results showed good agreements with the transient responses in the cases of the wide band sensors and it was confirmed that the simulated source time function had been properly assumed.

• International Journal of Precision Engineering and Manufacturing
• /
• 제3권4호
• /
• pp.87-93
• /
• 2002

In this study, basic concepts of magnet were introduced, and dynamic characteristics of magnet coupling were explored. Based on these characteristics, it was proposed how to analyze transverse and torsional vibrations of a spindle system with magnet coupling. Proposed theoretical approaches were applied to a precision power transmission system machined for this study, and the transverse and torsional vibrations were simulated. The force on magnet coupling was shown as a form of nonlinear function of the gap and the eccentricity. Also, the form of torque transmitted by magnet coupling was considered as a sinusoidal function. Main spindle connected to a coupling of a follower part was assumed to be a rigid body. Nonlinear partial differential equation was derived to be as a function of angular displacement. By using the equation, torsional vibration analysis of a spindle system with magnet coupling was performed. Free and forced vibration analyses of a spindle system with magnetic coupling were explored by using FEM.