• 제목/요약/키워드: parabolic motion

검색결과 64건 처리시간 0.019초

Free vibration characteristics of three-phases functionally graded sandwich plates using novel nth-order shear deformation theory

  • Pham Van Vinh;Le Quang Huy;Abdelouahed Tounsi
    • Computers and Concrete
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    • 제33권1호
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    • pp.27-39
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    • 2024
  • In this study, the authors investigate the free vibration behavior of three-phases functionally graded sandwich plates using a novel nth-order shear deformation theory. These plates are composed of a homogeneous core and two face-sheet layers made of different functionally graded materials. This is the novel type of the sandwich structures that can be applied in many fields of mechanical engineering and industrial. The proposed theory only requires four unknown displacement functions, and the transverse displacement does not need to be separated into bending and shear parts, simplifying the theory. One noteworthy feature of the proposed theory is its ability to capture the parabolic distribution of transverse shear strains and stresses throughout the plate's thickness while ensuring zero values on the two free surfaces. By eliminating the need for shear correction factors, the theory further enhances computational efficiency. Equations of motion are established using Hamilton's principle and solved via Navier's solution. The accuracy and efficiency of the proposed theory are verified by comparing results with available solutions. The authors then use the proposed theory to investigate the free vibration characteristics of three-phases functionally graded sandwich plates, considering the effects of parameters such as aspect ratio, side-to-thickness ratio, skin-core-skin thicknesses, and power-law indexes. Through careful analysis of the free vibration behavior of three-phases functionally graded sandwich plates, the work highlighted the significant roles played by individual material ingredients in influencing their frequencies.

Pasternak 탄성지반위에 놓인 점진기능재료 판의 정적 및 자유진동 해석 (Static and Free Vibration Analysis of FGM Plates on Pasternak Elastic Foundation)

  • 이원홍;한성천;박원태
    • 한국전산구조공학회논문집
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    • 제29권6호
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    • pp.529-538
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    • 2016
  • 멱 법칙 및 S 형상 함수를 이용한 점진기능재료(FGM) 판의 정적 및 동적해석을 위해 단순화된 전단변형이 고려된 이론을 정식화 하여 동적 평형방정식을 유도하였다. 단순화된 전단변형 이론은 전단보정계수가 필요없으며 수직 전단변형률과 전단응력의 곡선분포를 고려하였고 판의 상부와 하부에서 0이 된다는 조건을 만족한다. 또한 4개의 변수만으로 평형방정식이 유도되고 합응력, 평형방정식 그리고 경계조건이 고전적 이론과 유사한 형태를 가지게 된다. 점진기능재료의 형태는 멱 법칙 및 S 형상 함수로 두께방향으로 변화가 고려된다. Hamilton 원리를 이용하여 동적 평형방정식을 유도하였고 Winkler-Pasternak 탄성지반 모델을 적용하였다. 단순지지된 점진기능재료 판의 정적 및 자유진동 응답을 계산하였고 비교하였다. 본 연구에서 제시한 결과는 참고문헌과 비교하여 정확하고 관련성을 가진다. 거듭제곱 지수, 탄성지반 계수 그리고 폭-두께비의 변화에 따른 정적 및 자유진동 해석결과를 제시하였다.

유도 공중회전낙법의 COG변인 분석 (A COG Variable Analysis of Air-rolling-breakfall in Judo)

  • 김의환;정재욱;김성섭
    • 한국운동역학회지
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    • 제15권3호
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    • pp.117-132
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    • 2005
  • It was to study a following research of "A Kinematic Analysis of Air-rolling-breakfall in Judo". The purpose of this study was to analyze the Center of Gravity(COG) variables when performing Air-rolling-breakfall motion, while passing forward over(PFO) to the vertical-hurdles(2m height, take off board 1m height) in judo. Subjects were four males of Y. University squad, who were trainees of the demonstration exhibition team, representatives of national level judoists and were filmed by four 5-VHS 16mm video cameras(60field/sec.) through the three dimensional film analysis methods.COG variable were anterior-posterior directional COG and linear velocity of COG, vertical directional COG and linear velocity of COG. The data collections of this study were digitized by KWON3D program computed The data were standardized using cubic spline interpolation based by calculating the mean values and the standard deviation calculated for each variables. When performing the Air-rolling-breakfall, from the data analysis and discussions, the conclusions were as follows : 1. Anterior-posterior directional COG(APD-COG) when performing Air-rolling-breakfall motion, while PFO over to the vertical-hurdles(2m height) in judo. The range of APD-COG by forward was $0.31{\sim}0.41m$ in take-off position(event 1), $1.20{\sim}1.33m$ in the air-top position(event 2), $2.12{\sim}2.30m$ in the touch-down position(event 3), gradually and $2.14{\sim}2.32m$ in safety breakfall position(event 4), respectively. 2 The linear velocity of APD-COG was $1.03{\sim}2.14m/sec$. in take-off position(event 1), $1.97{\sim}2.22m/sec$. gradually in the air-top position(event 2), $1.05{\sim}1.32m/sec$. in the touch-down position (event 3), gradual decrease and $0.91{\sim}1.23m/sec$. in the safety breakfall position(event 4), respectively. 3. The vertical directional COG(VD-COG) when performing Air-rolling-breakfall motion, while PFO to the vertical-hurdles(2m height) in judo. The range of VD-COG toward upward from mat was $1.35{\sim}1.46m$ in take-off position(event 1), the highest $2.07{\sim}2.23m$ in the air-top position(event 2), and after rapid decrease $0.3{\sim}0.58m$ in the touch-down position(event 3), gradual decrease $0.22{\sim}0.50m$ in safety breakfall position(event 4), respectively. 4. The linear velocity of VlJ.COG was $1.60{\sim}1.87m/sec$. in take-off position(event 1), $0.03{\sim}0.08m/sec$. gradually in the air-top position(event 2), $-4.37{\sim}\;-4.76m/sec$. gradual decrease in the touch-down position(event 3), gradual decrease and -4.40${\sim}\;-4.77m/sec$. in safety breakfall position(event 4), respectively. When performing Air-rolling-breakfall showed parabolic movement from take-off position to air-top position, and after showed vertical fall movement from air-top position to safety breakfall. In conclusion, Ukemi(breakfall) is safety fall method Therefore, actions need for performing safety fall movement, that decrease and minimize shock and impact during Air-rolling-breakfall from take-off board action to air-top position must be maximize of angular momentum, and after must be minimize in touch-down position and safety breakfall position.

인프라사운드 대기 전파 투과손실 보정을 통한 원거리 지표폭발 에너지 추정 (Estimates of Surface Explosion Energy Based on the Transmission Loss Correction for Infrasound Observations in Regional Distances)

  • 제일영;김인호
    • 한국지구과학회지
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    • 제41권5호
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    • pp.478-489
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    • 2020
  • 대기 압력 변동을 측정하는 인프라사운드 관측 기술을 통하여 원거리 지표폭발 사고를 분석하였다. 2019년 12월 24일 전남 광양시에서 발생한 2차례 폭발 사고에서 발생한 인프라사운드 신호가 151-435 km 거리에 위치하는 12개 음파 관측소에 기록되었다. 당시 인프라사운드는 북북서 방향의 성층권 바람에 의해 약 40 km 고도에서 굴절되어 같은 방향에 분포하는 관측소에 도달하였다. 반면, 약 10 km 고도에서는 강한 서풍의 영향으로 대류권 굴절 신호가 북동 및 동쪽 방향에 위치하는 관측소에 도달하는 등 방향에 따라 상이한 전파 경로를 보였다. 대기 유효음파속도구조와 포물선 방정식 모델링을 통해 전파 경로상의 투과손실을 계산하고 폭발 지점으로부터 기준거리에서의 초과압력을 추정하였다. 추정된 초과압력은 초과압력-폭발량 관계식에 적용함으로써, 두 차례의 폭발은 각각 14, 65 kg TNT 폭발 에너지에 상응하는 것으로 계산되었다. 1차 폭발 당시에 폭발 충격으로 부속물이 대기 중으로 비산하는 현상이 관측되었고, 폭발충격에 의한 파편 운동과 초과압력 간의 관계식으로 1차 폭발의 에너지는 약 49 kg 이하 TNT 폭발에 상응하는 것으로 계산되었다. 본 연구에서 제안한 폭발 에너지 추정 방법은 향후 다양한 원거리 폭발 에너지 계산에 활용이 가능하리라 본다. 향후 계산 결과의 신뢰도를 높이기 위해서는 대기 속도구조 불확실성에 대한 연구와 다양한 발파 자료를 통한 검증 연구가 필요하다.