• 제목/요약/키워드: Analytical calculations

검색결과 205건 처리시간 0.021초

Aeroelastic stability analysis of a bridge deck with added vanes using a discrete vortex method

  • Taylor, I.;Vezza, M.
    • Wind and Structures
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    • 제5권2_3_4호
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    • pp.277-290
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    • 2002
  • A two dimensional discrete vortex method (DIVEX) has been developed at the Department of Aerospace Engineering, University of Glasgow, to predict unsteady and incompressible flow fields around closed bodies. The basis of the method is the discretisation of the vorticity field, rather than the velocity field, into a series of vortex particles that are free to move in the flow field that the particles collectively induce. This paper gives a brief description of the numerical implementation of DIVEX and presents the results of calculations on a recent suspension bridge deck section. The results from both the static and flutter analysis of the main deck in isolation are in good agreement with experimental data. A brief study of the effect of flow control vanes on the aeroelastic stability of the bridge is also presented and the results confirm previous analytical and experimental studies. The aeroelastic study is carried out firstly using aerodynamic derivatives extracted from the DIVEX simulations. These results are then assessed further by presenting results from full time-dependent aeroelastic solutions for the original deck and one of the vane cases. In general, the results show good qualitative and quantitative agreement with results from experimental data and demonstrate that DIVEX is a useful design tool in the field of wind engineering.

Yield penetration in seismically loaded anchorages: effects on member deformation capacity

  • Tastani, S.P.;Pantazopoulou, S.J.
    • Earthquakes and Structures
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    • 제5권5호
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    • pp.527-552
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    • 2013
  • Development of flexural yielding and large rotation ductilities in the plastic hinge zones of frame members is synonymous with the spread of bar reinforcement yielding into the supporting anchorage. Yield penetration where it occurs, destroys interfacial bond between bar and concrete and reduces the strain development capacity of the reinforcement. This affects the plastic rotation capacity of the member by increasing the contribution of bar pullout. A side effect is increased strains in the compression zone within the plastic hinge region, which may be critical in displacement-based detailing procedures that are linked to concrete strains (e.g. in structural walls). To quantify the effects of yield penetration from first principles, closed form solutions of the field equations of bond over the anchorage are derived, considering bond plastification, cover debonding after bar yielding and spread of inelasticity in the anchorage. Strain development capacity is shown to be a totally different entity from stress development capacity and, in the framework of performance based design, bar slip and the length of debonding are calculated as functions of the bar strain at the loaded-end, to be used in calculations of pullout rotation at monolithic member connections. Analytical results are explored parametrically to lead to design charts for practical use of the paper's findings but also to identify the implications of the phenomena studied on the detailing requirements in the plastic hinge regions of flexural members including post-earthquake retrofits.

한국인 상용식품의 플라보노이드 데이터베이스 구축 (Development of flavonoid database for commonly consumed foods by Koreans)

  • 양윤경;김지연;권오란
    • Journal of Nutrition and Health
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    • 제45권3호
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    • pp.283-292
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    • 2012
  • Flavonoids have been hypothesized to reduce the risk of chronic diseases, but the lack of a flavonoid database hampered epidemiological studies addressing this issue in Korea. In this study, we developed a flavonoid database, based on a systematic review. A total of 1549 food items containing flavonoids were selected using the Korean Nutrient Database. Among them, flavonoid contents for only 649 food items were evaluated with analytical values and the remaining 900 items were replaced with adaptations or calculations from similar items. The developed flavonoid database covered 93.2% of fruits and fruit juices, 76.1% of vegetables, 98.4% of legumes and legume products, and 85.0% of all plant foods overall (1,549 items) as reported by the 24-hr dietary recall method regarding the 2008 Korean National Health and Nutrition Examination Survey. We found that this flavonoid database, overall, included 95.6% of all mainly consumed plant foods by Koreans. This flavonoid database is expected to be useful in regards to the correlation study of flavonoid intake and chronic diseases.

고강도콘크리트 구조부재의 변위해석시스템 개발연구 (The Development of Displacement Analysis System in High Strength Concrete Members)

  • 장일영
    • 전산구조공학
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    • 제8권2호
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    • pp.115-121
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    • 1995
  • 고강도콘크리트(압축강도 400-700kgf/cm/sup 2)를 이용한 구조물의 강도성능과 휨변형을 정확히 구하는 해석방법을 제안하는 것이 본 연구의 목적으로서, 재료특성을 모델화하기 위하여 희귀분석을 이용한 고강도콘크리트의 응력-변형률관계와 사다리꼴 응력모델을 검토하여 그 적용성을 확인하였다. 내력과 변형의 해석방법으로서는 단면을 요소분할하여 재료의 응력-변형률관계를 이용한 모멘트-곡률관계의 해석을 이용하였다. 여기서 본 연구는 재료특성의 불확정 변수와 해석시의 반복계산에 의한 오차를 최소화하기 위하여 확률적 개념을 이용한 몬테카를로 시뮬레이션의 방법을 도입하여 내력 및 변위성능을 합리적으로 평가하였다.

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케이블의 기하학적 비선형성을 고려한 사장교의 동적거동에 관한 연구 (A Study on the Dynamic Behavior of Cable-Stayed Bridge Considering Geometric Nonlinearity of Cables)

  • 박영석;정시윤;이명우
    • 대한토목학회논문집
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    • 제9권4호
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    • pp.15-25
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    • 1989
  • 본 논문에서는 케이블의 기하학적 비선형성을 고려한 사장교의 정적 및 동적 해석방법을 제시하였다. 가상일의 원리와 유한요소법을 사용하여 기본식을 유도하였으며, 비선형 운동방정식의 해는 modified Newton-Raphson방법과 Newmark-${\beta}$-방법을 사용하여 구하였다. 사장교의 케이블은 단면적의 변화가 없이 인장력만 받을 수 있는 기하학적 비선형성을 고려한 3차원 트러스요소를 사용하였으며, 주형과 교탑은 3차원 선형 보요소를 사용하였다. 해석 적용예에서 대칭형 및 비대칭형 사장교의 정적거동과 이동하중에 의한 동적거동을 다루었으며 다른 방법에 의한 해석결과 및 실험결과와 비교하여 본 논문의 정당성을 입증하였다.

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선회 고유진동수와 안정성을 고려한 회전자-베어링 시스템의 중량 최적설계 (Optimal Weight Design of Rotor-Bearing Systems Considering Whirl Natural Frequency and Stability)

  • 이동수;손윤호;최동훈
    • 대한기계학회논문집
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    • 제19권3호
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    • pp.639-646
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    • 1995
  • The objective of this study is to minimize the weight of a damped anisotropic roto-bearing system considering whirl natural frequency and stability. The system is modeled as an assemblage of rigid disks, flexible shafts and discrete bearings. The system design variables are the crosssectional areas of shaft elements and the properties of bearings. To analyze the system, the polynomial method which is derived by rearranging the calculations performed by a transfer matrix method is adopted. For the optimization, the optimization software IDOL (Integrated Design Optimization Library) which is based on the Augmented Lagrange Multiplier (ALM) method is employed. Also, an analytical design sensitivity analysis of the system is used for high accuracy and efficiency. To demonstrate the usefulness of the proposed optimal design program incorporating analysis, design sensitivity analysis, and optimization modules, a damped anisotropic rotor-bearing system is optimized to obtain 34$ weight reduction.

체적수축유동이 있는 일차원 다원합금 응고에 대한 확장된 해석해 (An Extended Similarity Solution for One-Dimensional Multicomponent Alloy Solidification in the Presence of Shrinkage-Induced Flow)

  • 정재동;유호선;최만수;이준식
    • 대한기계학회논문집B
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    • 제24권3호
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    • pp.426-434
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    • 2000
  • This paper deals with a generalized similarity solution for the one-dimensional solidification of ternary or higher-order multicomponent alloys. The present approach not only retains the existing features of binary systems such as temperature- solute coupling, shrinkage-induced flow, solid-liquid property differences, and finite back diffusion, but also is capable of handling a multicomponent alloy without restrictions on the partition coefficient and microsegregation parameter. For an alloy of N-solute species, governing equations in the mushy region reduce to (N+2) nonlinear ordinary differential equations via similarity transformation, which are to be solved along with the closed-form solutions for the solid and liquid regions. A linearized correction scheme adopted in the solution procedure facilitates to determine the solidus and liquidus positions stably. The result for a sample ternary alloy agrees excellently with the numerical prediction as well as the reported similarity solution. Additional calculations are also presented to show the utility of this study. Finally, it is concluded that the present analysis includes the previous analytical approaches as subsets.

A new and simple analytical approach to determining the natural frequencies of framed tube structures

  • Mohammadnejad, Mehrdad;Kazemi, Hasan Haji
    • Structural Engineering and Mechanics
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    • 제65권1호
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    • pp.111-120
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    • 2018
  • This paper presents a new and simple solution for determining the natural frequencies of framed tube combined with shear-walls and tube-in-tube systems. The novelty of the presented approach is based on the bending moment function approximation instead of the mode shape function approximation. This novelty makes the presented solution very simpler and very shorter in the mathematical calculations process. The shear stiffness, flexural stiffness and mass per unit length of the structure are variable along the height. The effect of the structure weight on its natural frequencies is considered using a variable axial force. The effects of shear lag phenomena has been investigated on the natural frequencies of the structure. The whole structure is modeled by an equivalent non-prismatic shear-flexural cantilever beam under variable axial forces. The governing differential equation of motion is converted into a system of linear algebraic equations and the natural frequencies are calculated by determining a non-trivial solution for the system of equations. The accuracy of the proposed method is verified through several numerical examples and the results are compared with the literature.

SPH법을 이용한 해안에서의 2차원 비선형파 수치시뮬레이션 (Numerical Simulation of Two-dimensional Nonlinear Waves on Beaches Using a Smoothed Particle Hydrodynamics Method)

  • 김철호;이영길;정광열
    • 대한조선학회논문집
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    • 제47권4호
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    • pp.525-532
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    • 2010
  • In this paper, wave breakers which occur in two dimensional coasts are simulated using a SPH(Smoothed Particle Hydrodynamics) method which represents the movement of fluidic physical volume with particles. As continuative fluid is approximated to the particles, the simulations are performed using fully Lagrangian method without any grid system. Two-dimensional Navier-Stokes equations and continuity equation are used for the numerical simulations. To generate incident waves, a piston type wavemaker is employed. The accuracy of the wave which is numerically generated by the wavemaker is verified by comparing with analytical results. The computations are carried out with various wave heights and slopes. The wave patterns generated through the numerical simulations are compared with several existing experimental and computational results. Agreement between the experimental data and the computation results is comparatively good. Also, the breaker depth index and the breaker height index from the present calculations are compared with the existing experimental results, and the tendency is very similar.

Point load actuation on plate structures based on triangular piezoelectric patches

  • Tondreau, Gilles;Raman, Sudharsana Raamanujan;Deraemaeker, Arnaud
    • Smart Structures and Systems
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    • 제13권4호
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    • pp.547-565
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    • 2014
  • This paper investigates the design of a perfect point load actuator based on flat triangular piezoelectric patches. Applying a difference of electric potential between the electrodes of a triangular patch leads to point loads at the tips and distributed moments along the edges of the electrodes. The previously derived analytical expressions of these forces show that they depend on two factors: the width over height (b/l) ratio of the triangle, and the ratio of the in-plane piezoelectric properties ($e_{31}/e_{32}$) of the active layer of the piezoelectric patch. In this paper, it is shown that by a proper choice of b/l and of the piezoelectric properties, the moments can be cancelled, so that if one side of the triangle is clamped, a perfect point load actuation can be achieved. This requires $e_{31}/e_{32}$ to be negative, which imposes the use of interdigitated electrodes instead of continuous ones. The design of two transducers with interdigitated electrodes for perfect point load actuation on a clamped plate is verified with finite element calculations. The first design is based on a full piezoelectric ceramic patch and shows superior actuation performance than the second design based on a piezocomposite patch with a volume fraction of fibres of 86%. The results show that both designs lead to perfect point load actuation while the use of an isotropic PZT patch with continuous electrodes gives significantly different results.