• Structural Engineering and Mechanics
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• 제87권3호
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• pp.283-296
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• 2023

Free-vibration and buckling analyses of plate problems are investigated with the aid of the strain gradient notation finite element method (SGN-FEM). As SGN-FEM employs physically interpretable polynomials in developing finite elements, parasitic shear sources, which are the cause of shear locking, can be precisely identified and subsequently eliminated. This allows two mutually complementary objectives to be defined in this work, namely, evaluate the efficiency of free-vibration and buckling results provided by corrected models, and study the severity of parasitic shear effects on plate models performance. Parasitic shear are flexural terms erroneously present in shear strain polynomials. It is reviewed here that six parasitic shear terms arise during the formulation of the four-node Mindlin plate element. Two parasitic shear terms have been identified in the in-plane shear strain polynomial while other two have been identified in each of the transverse shear strain polynomials. The element is corrected a-priori, i.e., during development, by simply removing the spurious terms from the shear strain polynomials. The computational implementation of the element in its two versions, namely, containing the parasitic shear terms (PS) and corrected for parasitic shear (SG), allows for assessments of the accuracy of results and of the deleterious effects of parasitic shear in free vibration and buckling analyses. This assessment of the parasitic shear effects is a novelty of this work. Validation of the SG model is done comparing its results with analytical results and results provided by other numerical procedures. Analyses are performed for square plates with different thickness-to-length ratios and boundary conditions. Results for thin plates provided by the PS model do not converge to the correct solutions, which indicates that parasitic shear must be eliminated. That is, analysts should not rely on refinement alone. For thick plates, PS model results can be considered acceptable as deleterious effects are really critical in thin plates. On the other hand, results provided by the SG model converge well for both thin and thick plates. The effectiveness of the SG model is established via high-accuracy results obtained in several examples. It is concluded that corrected SGN-FEM models are efficient alternatives for free-vibration and buckling analysis of Mindlin plate problems, and that precise elimination of parasitic shear is a requirement for sound analyses.

• Steel and Composite Structures
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• 제27권6호
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• pp.691-702
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• 2018

This paper presents experimental and analytical results of fiber reinforced polymer (FRP) confined steel tubular columns under transverse impact loads. Influences of applied impact energy, thickness of FRP jacket and impact position were discussed in detail, and then the impact responses of FRP confined steel tubes were compared with bare steel tubes. The test results revealed that the FRP jacket contributes to prevent outward buckling deformation of steel at the clamped end and inward buckling of steel at the impact position. For the given applied impact energy, specimens wrapped with one layer and three layers of FRP have the lower peak impact loads than those of the bare steel tubes, whereas specimens wrapped with five layers of FRP exhibit the higher peak impact loads. All the FRP confined steel tubular specimens displayed a longer duration time than the bare steel tubes under the same magnitude of impact energy, and the specimen wrapped with one layer of FRP had the longest duration time. In addition, increasing the applied impact energy leads to the increase of peak impact load and duration time, whereas increasing the distance of impact position from the clamped end results in the decrease of peak impact load and the increase of duration time. The dynamic analysis software Abaqus Explicit was used to simulate the mechanical behavior of FRP confined steel tubular columns, and the numerical results agreed well with the test data. Analytical solution for lateral displacement of an equivalent cantilever beam model subjected to impact load was derived out. Comparison of analytical and experimental results shows that the maximum displacement can be precisely predicted by the present theoretical model.

• 한국지반공학회지:지반
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• 제11권2호
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• pp.139-156
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• 1995

지반진동특성의 지진공학적인 정밀측정의 일환으로 지반진동의 탁월주기와 지반진동의 거리에 따른 감쇠특성을 현장실험을 통하여 조사하였다. 이 조사는 세가지 부분의 실험을 통하여 결과를 얻었다. 첫째, 지반의 탁월주기는 고감도 디지탈 속도지진계-3축성분 속도계를 이용하는 Seismometer와 디지탈 Seismograph를 이용하여 지반과 건물에서 일정한 주기를 가진 연속적인 미소진동으로 부터 지반 및 건물진동의 탁월주기를 계측하였다. 지반에서의 탁월주기는 0.18~0.23 sec, 건물2층의 탁월주기는 0.26~0.31 sec였다. 둘째, 지반 구조조사는 디지탈 탄성파탐사기를 이용하여 굴절법을 이용한 탄성파탐사를 실시하였다. 실험장소인 한양대학교 안산캠퍼스의 지층구조는 상부층(표토층: surface layer)은 저속도층으로서 662m1s, 하부층(지반층: base ground)은 2210m/s의 P파 속도를 갖고, 주시곡선도로부터 표토층의 두께는 약 7m로 검측되었다. 이것은 7m두깨의 표토층(top soil)과 그 하부에 사질 점토성의 지반층(base ground)이 존재함을 암시한다. 셋째, Seisgun을 이용하여 인공적인 탄성파 에너지원을 만들어 지반의 진동 감쇠특성을 조사 하였다. 거리 감쇠상수(spatial attenuation conf$\ulcorner$icient) Y는 거리에 따른 진폭 을 계산하여 Z-성분(vertical)은 0.0137, X-성분(longitudinal)은 0.0025, Y-성분(transverse)은 0.0290이고 Spatial QP의 값은 각각 5.913~7.575, 32.371 ~41.452, 2.794~3.579의 값이 산출되었었다. 이 결과 다른 두성분에 비해서 종방향(z-성분, longitudinal)성분은 감쇠경향이 낮음을 알 수 있다. 그러므로 이 경우에 구조물 설계시 종방향(x-성분, longitudinal)성분에 대 한 내진설계가 고려 되어야 할 것이다.

• Bulletin of the Korean Chemical Society
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• 제21권10호
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• pp.1041-1043
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• 2000

We present the effects of temperature (between 10 K and 298 K) and of hole concentration on the frequency and intensity of characteristic phonons in polycrystalline $La_2CuO_4-related$ compounds using FT-IR spectros-copy. The influences of the concentration of carrier doped on the phonon modes are prominent in the IR spectra of $La_2CuO_4-related$ compounds. For $La_2-xSrxCuO_4({\chi}=$ 0.00, 0.03, 0.07, 0.10, and 0.15) and electrochemically (or chemically) oxidized $La_2CuO_4$, the intensities of the transverse oxygen mode around 680cm $-^1$ which cor-responds mainly to Cu-O(1) stretching vibration in the basal plane of CuO6 octahedron, are decreased and dis-appeared depending on the Sr-substitution rate and the amount of excess oxygen, while the longitudinal oxygen mode around 510 cm $-^1$ corresponding to the Cu-O(2) stretching in the basal plane of CuO6 octahedron are near-ly invariable. In particular, after two cycles of cooling-heating between 10 K and 298 K for these sample, the phonons around 680 cm $-^1$ are blue shif 13-15 cm $-^1$, while the phonons around 510 cm $-^1$ are nearly constant. The introduction of the charge carrier by doping would give rise to the small contraction of CuO6 oc-tahedron as Cu $^3+$ requires a smaller site than Cu $^2+$, which results in the shortening of the Cu-O(1) bond length and Cu-O(2) bond length with the increased La-O(2) bond length. These results in the frequency shift of the characteristic phonons. The IR spectra of $La_2Li0.5Cu0.5O_4$ which exhibits an insulator behavior despite the $Cu^3+$ of nearly 100%, corroborate our IR interpretations. The mode around 710 cm $-^1$ corresponding to Cu-O(1) stretching vibration is still strongly remained even at low temperature (10 K). Thus, we conclude that the con-duction electrons formed within $CuO_2$ planes of $La_2CuO_4-related$ superconductors screen more effectively the transverse oxygen breathing mode around 680 $cm-^1$ depending on the concentration of the doped charge carrier in $La_2CuO_4-related$ compounds, which might use as a superconductivity probe.

• 한국전기전자재료학회논문지
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• 제30권5호
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• pp.263-269
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• 2017

A piezoelectric cantilever energy harvester (PCEH) driven in longitudinal (3-3) vibration mode was fabricated, and its electrical properties were evaluated by varying the resistive load. A commercial PZT piezoelectric ceramic with a high piezoelectric charge constant ($d_{33}$) of 520 pC/N and the interdigitated (IDT) electrode pattern was used to fabricate the PCEH driven in longitudinal vibration. The IDT Ag electrode embedded piezoelectric laminates were co-fired at $850^{\circ}C$ for 2 h. The 3-3 mode PCEH was successfully fabricated by attaching the piezoelectric laminates to a SUS304 elastic substrate. The PCEH exhibited a high output power of 3.8 mW across the resistive load of $100k{\Omega}$ at 100 Hz and 1.5 G. This corresponds to a power density of $10.3mW/cm^3$ and a normalized global power factor of $4.56mW/g^2{\cdot}cm^3$. Given the other PCEH driven in transverse (3-1) vibration mode, the 3-3 mode PCEH could be better for vibration energy harvesting applications.

• 한국융합학회논문지
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• 제9권6호
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• pp.175-182
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• 2018

본 연구에서는 초음파 진동에너지가 융합된 커팅기용 공구 혼 제작에 대한 기초 연구 자료를 제작하고자 이론적방법과 유한요소해석을 병행하여 설계하였다. 고 성능의 초음파 절단을 진행하기 위해서는 횡진동이 아닌 종진동으로만 진동해야 하며, 기계적 진동에너지를 효율적으로 전달하기 위해 출력부에 최대진폭이 발생해야 한다. 따라서 공구 혼은 발진기의 가진 주파수와 공구 혼의 고유주파수가 동일하게 설계되어야만 한다. 공구 혼을 공진설계하기 위해서는 1차원 파동방정식을 이용한 이론적 접근법과, 유한요소 해석결과를 설계모델에 반영하는 방법이 있는데, 본 연구에서는 최초에 공구 혼의 대략적인 치수를 1차원 파동방정식을 통해 결정하고, 유한요소 해석 결과를 바탕으로 최적 모델을 선정하여 공구 혼의 최종 형상에 반영하였다. 이와 같은 내용을 실제 커팅용 공구 혼의 기초자료로 활용하고자 하며, 추후 제작 및 실험 데이터를 본 연구내용과 비교할 예정이다.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2005년도 춘계 학술발표회 논문집
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• pp.328-337
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• 2005

This work reports results of our study on the dynamic responses of the buried pipelines both along the axial and the transverse directions under various boundary end conditions. We have considered three cases, i.e., the free ends, the fixed ends, and the fixed-free ends for the axial direction, and three more cases including the guided ends, the simply supported ends, and the supported-guided ends for the transverse direction. In order to investigate the effect of the boundary end conditions for the dynamic responses of the buried pipeline, we have devised a computer program to find the solutions of the formulae on the dynamic responses (displacements, axial strains, and bending strains) under the various boundary end conditions considered in this study. The dynamic behavior of the buried pipelines for the forced vibration is found to exhibit two different forms, a transient response and a steady state response, depending on the time before and after the transfer of a seismic wave on the end of the buried pipeline. The former is identified by a slight change in its behavior before the sinusoidal-shaped seismic wave travels along the whole length of the pipeline whereas the latter by the complete form of a sinusoidal wave when the wave travels throughout the pipeline. The transient response becomes insignificant as the wave speed increases. We have observed a resonance when the mode wavelength matches the wavelength of the seismic wave, where the mode number(k) of resonance for the axial direction is found to be $\overline{\omega}/{\pi}V+1/2$ for the fixed-free ends, $\overline{\omega}/{\pi}V+1$ for the free ends, and $\overline{\omega}/{\pi}V$ for the fixed ends, respectively. By adding 10 more modes to the mode number(k) of resonance, we were able to study all the dynamic responses of the buried pipeline for the axial direction. On the other hand, we have not been able to observe a resonance in the analysis for the transverse direction, because the dynamic responses are found to vanish after the seventh mode. From the results of the dynamic responses at the many points of the pipeline, we have found that the responses appeared to be dependent critically on the boundary end conditions. Such effects are found to be most prominent especially for the maximum values of the displacement and the strain and its position.

• 한국구조물진단유지관리공학회 논문집
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• 제9권2호
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• pp.103-112
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• 2005

본 연구에서는 과거 붕괴사고로 인해 큰 사회적 이슈가 되었고 현재 확장공사가 진행 중인 성수대교를 대상 구조물로 하여 시공중 계측을 통한 각 시공단계별 안정성을 확인하였다. 그 결과, 앵커리지 트러스와 서스펜디드 트러스 가설단계별로 측정된 계측값은 구조해석값의 60~110%이고, 선하중 재하에 의해 부재에 발생하는 응력이 해석값과 유사하게 나타났으므로 각각의 부재는 충분한 강성을 가지고 있고 시공 상태도 양호한 것으로 판단되었다. 기존부와 확장부 간의 일체화 여부를 파악하기 위하여 실시한 진동변위 측정 결과, 기존부와 확장부는 횡방향 부재 및 스웨이 브레이싱의 볼트체결로 인해 일체화 된 것으로 확인되었다.

• 한국전자통신학회논문지
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• 제7권5호
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• pp.1139-1144
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• 2012

산업용 로봇의 하중률은 1대 10에서 1대 30이고, 3대 1의 하중률을 가지는 인간과 비교하여 매우 낮다. 다음 세대 로봇의 목표 중에 하나는 하중률이 될 것이고, 이것은 가벼운 로봇을 개발함으로 가능할 것이다. 2관절 유연한 로봇팔은 관절 축을 회전할 때 진동이 발생한다. 본 논문에서는 유연한 로봇팔의 진동 동력학은 오일러 베르누이의 보 이론과 라그랑지 방정식을 이용하여 구하였고, $\dot{D}-2C$가 skew symmetric이다는 사실을 사용하여, 계산량을 줄이는 리아프노프 안정도 이론을 이용한 단순한 구조의 새로운 제어기를 제안한다. 2링크 유연한 로봇에 대한 확정적인 적응제어 법칙을 제안하고, 시뮬레이션을 통하여 그 타당성을 보인다.

• Structural Engineering and Mechanics
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• 제40권4호
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• pp.471-488
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• 2011

The Ting Kau Bridge in Hong Kong is a cable-stayed bridge comprising two main spans and two side spans. The bridge deck is supported by three towers, an end pier and an abutment. Each of the three towers consists of a single reinforced concrete mast strengthened by transverse cables and struts. The bridge deck is supported by four inclined planes of cables emanating from anchorages at the tower tops. In view of the heavy traffic on the bridge, and threats from typhoons and earthquakes originated in areas nearby, the dynamic behaviour of long-span cable-supported bridges in the region is always an important consideration in their design. Baseline finite element models of various levels of sophistication have been built not only to match the bridge geometry and cable forces specified on the as-constructed drawings but also to be calibrated using the vibration measurement data captured by the Wind and Structural Health Monitoring System. This paper further describes the analysis of axle loading data, as well as the generation of random axle loads and simulation of vibrations of the bridge using the finite element models. Various factors affecting the vehicular loading on the bridge will also be examined.