• 제목/요약/키워드: inertia force

검색결과 412건 처리시간 0.025초

Numerical and experimental study on the scale effect of internal solitary wave loads on spar platforms

  • Wang, Xu;Zhou, Ji-Fu
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.569-577
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    • 2020
  • Based on laboratory experiments and numerical simulations, the scale effect of Internal Solitary Wave (ISW) loads on spar platforms is investigated. First, the waveforms, loads, and torques on the spar model at a laboratory obtained by the experiments and simulations agree well with each other. Then, a prototype spar platform is simulated numerically to elucidate the scale effect. The scale effect for the horizontal forces is significant owing to the viscosity effect, whereas it is insignificant and can be neglected for the vertical forces. From the similarity point of view, the Froude number was the same for the scaled model and its prototype, while the Reynolds number increased significantly. The results show that the Morison equation with the same set of drag and inertia coefficients is not applicable to estimate the ISW loads for both the prototype and laboratory scale model. The coefficients should be modified to account for the scale effect. In conclusion, the dimensionless vertical forces on experimental models can be applied to the prototype, but the dimensionless horizontal forces of the experimental model are larger than those of the prototype, which will lead to overestimation of the horizontal force of the prototype if direct conversion is implemented.

Vibration of a Circular plate on Pasternak foundation with variable modulus due to moving mass

  • Alile, Mohsen Rezvani;Foyouzat, Mohammad Ali;Mofid, Massood
    • Structural Engineering and Mechanics
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    • 제83권6호
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    • pp.757-770
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    • 2022
  • In this paper, the vibration of a moderately thick plate to a moving mass is investigated. Pasternak foundation with a variable subgrade modulus is considered to tackle the shortcomings of Winkler model, and an analytical-numerical solution is proposed based on the eigenfunction expansion method. Parametric studies by using both CPT (Classical Plate Theory) and FSDT (First-Order Shear Deformation Plate Theory) are carried out, and, the differences between them are also highlighted. The obtained results reveal that utilizing FSDT without considering the rotary inertia leads to a smaller deflection in comparison with CPT pertaining to a thin plate, while it demonstrates a greater response for plates of higher thicknesses. Moreover, it is shown that CPT is unable to properly capture the variation of the plate thickness, thereby diminishing the accuracy as the thickness increases. The outcomes also indicate that the presence of a foundation contributes more to the dynamic response of thin plates in comparison to moderately thick plates. Furthermore, the findings suggest that the performance of the moving force approach for a moderately thick plate, in contrast to a thin plate, appears to be acceptable and it even provides a much better estimation in the presence of a foundation.

Experimental study of internal solitary wave loads on the semi-submersible platform

  • Zhang, Jingjing;Liu, Yi;Chen, Ke;You, Yunxiang;Duan, Jinlong
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제13권1호
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    • pp.718-733
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    • 2021
  • A prediction method, based on the Morison equation as well as Froude-Krylov formula, is presented to simulate the loads acting on the columns and caissons of the semi-submersible platform induced by Internal Solitary Wave (ISW) respectively. Combined with the experimental results, empirical formulas of the drag and inertia coefficients in Morison equation can be determined as a function of the Keulegan-Carpenter (KC) number, Reynolds number (Re) and upper layer depth h1/h respectively. The experimental and calculated results are compared. And a good agreement is observed, which proves that the present prediction method can be used for analyzing the ISW-forces on the semi-submersible platform. Moreover, the results also demonstrate the layer thickness ratio has a significant effect upon the maximum horizontal forces on the columns and caissons, but both minimum horizontal and vertical forces are scarcely affected. In addition, the incoming wave directions may also contribute greatly to the values of horizontal forces exerted on the caissons, which can be ignored in the vertical force analysis.

Seismic response of single-arch large-span fabricated subway station structure

  • He, Huafei;Li, Zhaoping
    • Earthquakes and Structures
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    • 제23권1호
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    • pp.101-113
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    • 2022
  • A new type of fabricated subway station construction technology can effectively solve these problems. For a new type of metro structure form, it is necessary to clarify its mechanical properties, especially the seismic performance. A soil-structure elastoplastic finite element model is established to perform three-dimensional nonlinear dynamic time-history analysis based on the first fabricated station structure-Yuanjiadian station of Changchun Metro Line 2, China. Firstly, the nonlinear seismic response characteristics of the fabricated and cast-in-place subway stations under different seismic wave excitations are compared and analyzed. Then, a comprehensive analysis of several important parameters that may affect the seismic response of fabricated subway stations is given. The results show that the maximum plastic strain, the interlayer deformation, and the internal force of fabricated station structures are smaller than that of cast-in-place structure, which indicates that the fabricated station structure has good deformation coordination capability and mechanical properties. The seismic responses of fabricated stations were mainly affected by the soil-structure stiffness ratio, the soil inertia effect, and earthquake load conditions rarely mentioned in cast-in-place stations. The critical parameters have little effect on the interlayer deformation but significantly affect the joints' opening distance and contact stress, which can be used as the evaluation index of the seismic performance of fabricated station structures. The presented results can better understand the seismic responses and guide the seismic design of the fabricated station.

Flexural behaviour of GFRP reinforced concrete beams under cyclic loading

  • Murthy, A. Ramachandra;Gandhi, P.;Pukazhendhi, D.M.;Samuel, F. Giftson;Vishnuvardhan, S.
    • Structural Engineering and Mechanics
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    • 제84권3호
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    • pp.361-373
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    • 2022
  • This paper examines the flexural performance of concrete beams reinforced with glass fibre-reinforced polymer (GFRP) bars under fatigue loading. Experiments were carried out on concrete beams of size 1500×200×100 mm reinforced with 10 mm and 13 mm diameter GFRP bars under fatigue loading. Experimental investigations revealed that fatigue loading affects both strength and serviceability properties of GFRP reinforced concrete. Experimental results indicated that (i) the concrete beams experienced increase in deflection with increase in number of cycles and failed suddenly due to snapping of rebars and (ii) the fatigue life of concrete beams drastically decreased with increase in stress level. Analytical model presented a procedure for predicting the deflection of concrete beams reinforced with GFRP bars under cyclic loading. Deflection of concrete beams was computed by considering the aspects such as stiffness degradation, force equilibrium equations and effective moment of inertia. Nonlinear finite element (FE) analysis was performed on concrete beams reinforced with GFRP bars. Appropriate constitutive relationships for concrete and GFRP bars were considered in the numerical modelling. Concrete non linearity has been accounted through concrete damage plasticity model available in ABAQUS. Deflection versus number of cycles obtained experimentally for various beams was compared with the analytical and numerical predictions. It was observed that the predicted values are comparable (less than 20% difference) with the corresponding experimental observations.

Exact and approximate solutions for free vibrations of continuous partial-interaction composite beams

  • Sun, Kai Q.;Zhang, Nan;Zhu, Qun X.;Liu, Xiao
    • Steel and Composite Structures
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    • 제44권4호
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    • pp.531-543
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    • 2022
  • An exact dynamic analytical method for free vibrations of continuous partial-interaction composite beams is proposed based on the Timoshenko beam theory. The main advantage of this method is that the independent shear deformations and rotary inertia of sub-beams are considered, which is more in line with the reality. Therefore, the accuracy of eigenfrequencies obtained by this method is significantly improved, especially for higher order modes, compared to the existing methods where the rotary angles of both sub-beams are assumed to be equal irrespective of the differences in the shear stiffness of each sub-beam. Furthermore, the solutions obtained by the proposed method are exact owing to no introduction of approximated displacement and force fields in the derivation. In addition, an exact analytical solution for the case of simply supported is obtained. Based on this, an approximate expression for the fundamental frequency of continuous partial-interaction composite beams is also proposed, which is useful for practical engineering applications. Finally, the practicability and effectiveness of the proposed method and the approximate expression are explored using numerical and experimental examples; The influence factors including the interfacial interaction, shear modulus ratio, span-to-depth ratio, and side-to-main span length ratio on the eigenfrequencies are presented and discussed in detail.

동적원심모형실험을 이용한 지진 시 역T형 옹벽의 관성력 영향 분석 사례 연구 (A Case Study of Evaluating Inertial Effects for Inverted T-shape Retaining Wall via Dynamic Centrifuge Test)

  • 조성배;하정곤;추연욱;김동수
    • 한국지반공학회논문집
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    • 제29권4호
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    • pp.33-44
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    • 2013
  • Mononobe-Okabe (M-O) 이론은 현재 국내외에서 가장 일반적으로 사용되는 지진 시 옹벽에 작용하는 동적토압 산정 방법이다. M-O방법은 강체거동(Rigid Behavior)을 갖는 중력식 옹벽의 사질토 뒤채움 지반에 대하여 제안된 방식이지만 현재 여러 지반 조건 및 캔틸레버 형태의 옹벽에도 널리 적용되고 있다. M-O 방법은 지진 시 발생하는 뒤채움 지반의 관성력만을 고려하기 때문에 벽체의 관성력이 동적 토압에 미치는 영향을 고려하지 못하는 단점이 있다. 본 논문에서는 M-O 방법을 포함하여 지진 시 옹벽에 작용하는 동적토압을 산정하는 기존에 제안된 방법들의 이론적 배경 및 현재까지의 연구동향을 분석하였으며, 이를 통하여 지진 시 토압산정의 중요한 요소인 동적토압의 분포 및 작용점에 대한 합리적인 재평가가 필요함을 도출하였다. 역 T형 옹벽을 대상으로 동적원심모형실험을 수행하여 지진 시 옹벽에 작용하는 동적 토압을 M-O 이론과 모형 모델 거동과의 비교를 통하여 차이점을 평가하였다. 실험 결과, 지진 시 옹벽의 실제 거동은 M-O 방법의 가정과 달리 벽체의 관성력과 동적토압 사이에 위상차가 발생함을 알 수 있었다. 또한 벽체에서 주동방향으로 최대 휨 모멘트 발생 시 계측된 토압은 정적토압보다 감소하는 결과를 보였으며 이는 벽체 관성력이 원인인 것으로 판단된다.

3차원 수치 모델을 이용한 건조사질토 지반-말뚝-구조물 동적 상호작용의 매개변수 연구 (Parametric Study of Dynamic Soil-pile-structure Interaction in Dry Sand by 3D Numerical Model)

  • 권선용;유민택
    • 한국지반공학회논문집
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    • 제32권9호
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    • pp.51-62
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    • 2016
  • 다양한 현장 조건에서 일어날 수 있는 건조토 지반-말뚝-구조물 시스템의 동적거동을 평가하고 고찰하기 위해 3차원 수치 모델을 이용한 매개변수 연구가 수행되었다. 강진 시 지반의 비선형 거동을 적절하게 모사하기 위해 상용 유한 차분 프로그램인 FLAC3D를 통해 시간 영역에서 이루어졌다. 지반 구성 모델은 Mohr-Coulomb 탄소성 모델을 적용하였으며 지반 전단 탄성 계수의 비선형적인 감소를 모사할 수 있는 이력 감쇠 모델을 적용하였다. 진동 시 지반-말뚝 간의 완전 접촉, 미끄러짐, 분리 현상을 모두 모사하는 경계요소 모델을 적용하였으며 경계 조건의 경우, 지반-말뚝 상호작용의 영향을 받는 근역 지반만 메쉬를 생성하고 근역 지반의 경계부에 원역 지반의 가속도-시간 이력을 입력하는 방식인 단순화 연속체 모델링 기법을 적용함으로써 해석 효율을 증가시키고자 하였다. 또한, 적절한 최대지반탄성계수와 항복 깊이의 설정으로 지반의 비선형 거동을 더욱 정확히 모사하고자 하였다. 개발된 수치 모델을 이용하여 상부질량의 크기, 말뚝의 길이, 두부 경계조건, 지반의 상대밀도에 대한 매개변수 연구를 수행함으로써 다양한 현장 조건에 대한 지반-말뚝-구조물 시스템의 동적 거동을 평가하였다. 매개변수 연구 결과, 건조토 지반 조건에서는 상부질량에 의한 관성력이 시스템의 동적 거동에 지배적인 영향을 미침을 확인하였으며 지반에 의한 운동력의 영향은 상대적으로 적다고 평가되었다. 또한 짧은 말뚝과 긴 말뚝의 동적 거동 차이 및 말뚝두부 고정단과 자유단의 거동 차이를 해석적으로 검증하였다.

마이크로 다이레스 성형 시스템을 이용한 금속박판소재의 마이크로 패턴 성형 (Micro pattern forming on the metal thin foil Using micro dieless forming system)

  • 이혜진;이형욱;박진호;이낙규
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2007년도 춘계학술대회 논문집
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    • pp.379-382
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    • 2007
  • The MEMS (Micro Electro Mechanical Systems) process is used in a micro/nano pattern manufacturing method. This method is based on the lithography technology. But the MEMS process has some problems such as complicated process, long processing time and high production costs. Many researchers are doing research in substitute manufacturing method to work out a solution to these problems. In this paper, we apply a dieless incremental forming technology to a substitute method of MEMS process. This dieless forming technology is using in the commercial scale sheet forming such as a prototype of automobile sheet parts. 5-axes CNC (Computerized Numeric Control) method are applied in this system to get a micro-scale dieless forming results. These 5-axes system are composed of precision AC servo motor stages (4-axes) and PZT actuator (1-axis). A PZT actuator is used in a precision actuating axis because it can be operated in the nano scale stroke resolution. This micro dieless incremental forming system has the advantage of minimization in manipulating distance and working space. As equipment and tools become smaller in size, minute inertia force and high natural frequency can be obtained. Therefore, high precision forming performance can be obtained. This allows the factory to quickly provide the customer with goods because the manufacturing system and process are reduced. To construct this micro manufacturing system, many technologies are necessary such as high stiffness frame, high precision actuating part, structural analysis, high precision tools and system control. To achieve the optimal forming quality, the micro dieless forming system is designed and made with high stiffness characteristic.

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축방향 하중을 받는 특별직교이방성 적층복합판의 진동해석 (Vibration Analysis of Special Orthotropic Laminated Composite Plates under Axial Loadings)

  • 원치문
    • 한국강구조학회 논문집
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    • 제18권1호
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    • pp.93-100
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    • 2006
  • 본 논문에서는 축방향 하중을 받는 사변단순지지된 특별직교이방성 적층복합판의 고유진동수를 간편하게 계산하는 방법을 제시한다. 이 방법은 진동해석을 위해, 임의 방법으로 얻어질 수 있는 영향계수를 사용하며 공명상태하에서 관성력에 의한 부재의 변형된 모드 형상을 결정하는 과정으로 이루어진다. 최초에 가정된 임의의 모드 형상으로 시작하여 정확한 모드 형상이 반복적인 과정을 통해 얻어진다. 또한 ${[{\alpha}{\beta}]_r}$, ${[{\alpha}{\beta}{\beta}{\alpha}{\alpha}{\beta}]_r}$그리고 ${[{\alpha}{\beta}{\beta}{\gamma}{\alpha}{\alpha}{\beta}]_r}$와 같이 적층의 수가 증가함에 따라 ${B_1_6}$, ${B_2_6}$, ${D_1_6}$, 그리고 ${D_2_6}$ 가 무시될 수 있어서 특별직교이방성 적층복합판 이론과 본 방법을 적용할 수 있는 형태를 제시하고 이들에 대한 진동해석 결과를 제시한다.