• Title/Summary/Keyword: simplified formula

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Study on Stress Transfer Property for Embedded FBG Strain Sensors in Concrete Monitoring

  • Jang, Il-Young;Yun, Ying-Wei
    • International Journal of Concrete Structures and Materials
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    • v.3 no.1
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    • pp.33-37
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    • 2009
  • Fiber Bragg grating (FBG) sensors already have been the focus for structural health monitoring (SHM) due to their distinguishing advantages. However, as bare optical fiber is very fragile, bare FBG strain sensor without encapsulation can not properly be applied in practical infrastructures. Therefore encapsulation techniques for making encapsulated FBG strain sensor show very important in pushing forward the application of FBG strain sensors in SHM. In this paper, a simplified approximate method to analyze the stress transferring rules for embedded FBG strain sensors in concrete monitoring is put forward according to mechanics of composite materials. Shear lag theory is applied to analyze the stress transferring rule of embedded FBG strain sensor in measured host material at the first time. The measured host objects (concrete) and the encapsulated FBG strain sensor are regarded as a composite, and then the stress transfer formula and stress transfer coefficient of encapsulated FBG strain sensor are obtained.

An Experimental Study on the Estimation of the Plate Tearing Damage (판의 찢김 손상 추정을 위한 실험 연구)

  • 양박달치
    • Journal of Ocean Engineering and Technology
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    • v.18 no.1
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    • pp.41-46
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    • 2004
  • This paper describes a study on the tearing damage of a ship's bottom plating, during a grounding. It is widely known that different scaling laws are applied for bodies undergoing simultaneous plastic flow and crack propagation in the deformation of plate tearing. Specifically, the basic scaling law is not followed for the fracture. In this study, in order to verify the problem, plate cutting experiments for geometrically similar models have been performed. From the experimental results, it has been observed that the cutting forces and energy for the larger models are significantly lower than those of the smaller models. A simplified analytical method for the estimation of tearing is proposed, based on the experiments. It has been observed that the results of the present formula are highly correlated with the experiments.

External Magnetic Field of Journal Bearing with Twined Solenoid

  • Zhang, Yanjuan;Wang, Jianmei;Li, Decai
    • Journal of Magnetics
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    • v.22 no.2
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    • pp.291-298
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    • 2017
  • In this paper, the distribution of internal magnetic induction intensity of oil-film bearing twined solenoids was proposed. The magnetic field was generated by solenoids and magnetized bearing. The magnetized bearing was simplified as solenoid model. The mathematical model of magnetic induction intensity at any point of finite solenoid was deduced. Through experiment method, the distribution of the internal magnetic induction intensity of oil-film bearing and the magnetizing current formula of bearing was obtained. Further, the magnetic induction intensity distribution of magnetization bearing was solved successfully. The results showed that the magnetic induction was a second-degree parabola with open upwards along the axial plane and the distribution of magnetic induction intensity was opposite to the rule of magnetic induction intensity generated by solenoids. In addition, the magnetic flux density increased linearly with the increase of current.

Extension of a semi-analytical approach to determine natural frequencies and mode shapes of a multi-span orthotropic bridge deck

  • Rezaiguia, A.;Fisli, Y.;Ellagoune, S.;Laefer, D.F.;Ouelaa, N.
    • Structural Engineering and Mechanics
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    • v.43 no.1
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    • pp.71-87
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    • 2012
  • This paper extends a single equation, semi-analytical approach for three-span bridges to multi-span ones for the rapid and precise determination of natural frequencies and natural mode shapes of an orthotropic, multi-span plate. This method can be used to study the dynamic interaction between bridges and vehicles. It is based on the modal superposition method taking into account intermodal coupling to determine natural frequencies and mode shapes of a bridge deck. In this paper, a four- and a five-span orthotropic roadway bridge deck are compared in the first 10 modes with a finite element method analysis using ANSYS software. This simplified implementation matches numerical modeling within 2% in all cases. This paper verifies that applicability of a single formula approach as a simpler alternative to finite element modeling.

Study on Comparative Analysis of Daylight Evaluation Tools for Building Environment (건물 주광환경 평가도구의 비교분석에 관한 연구)

  • Park, K.E.;Kim, J.T.
    • Journal of the Korean Solar Energy Society
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    • v.22 no.4
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    • pp.26-34
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    • 2002
  • Daylighting in building is very important as it has an effect on work performance as well as on their visual health. It is also regarded as a good energy conservation measure in saving energy used for lighting. There are many daylighting evaluation tools such as empirical equations, tables, nomograms, diagrams, protractors, computer simulation, scale models. This study conducted initial daylight measurements to analyze luminous environment in classrooms of elementary school and comparative analysis on three daylighting evaluation tools, such as daylight factor calculation formula, the graphic method with BRE Protractor and computer simulation with Adeline 3.0. It is found that the computer simulation tool produced the closest result to actual measurements of luminous environment in elementary school classroom, and the other simplified tools made appropriate results so that they can be used in the early stage of daylighting design process.

A Simplified Formula of Bridge Deck Flutter Based on the Quasi-Steady (준정상 이론에 의한 교량 플러터의 간략식)

  • Cho, Young-Rae;Cho, Jae-Young;Lee, Hak-Eun
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.295-298
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    • 2008
  • 유체내에 잠겨있는 물체의 진동은 공기력을 유발시키며 이러한 공기력에 의해 발생되는 진동을 물체의 거동에 의해 발생되는 가진이라 한다. 또한 물체에 작용하는 외부 공기력이 없이도 물체의 주기적인 움직임에 의해 발생되는 에너지로부터 공기력을 생성시킨다. 이러한 메커니즘에 의해 생성되는 공기력을 공기자발력(self-excited force) 이라 하며 교량의 내풍안정성과 관련이 있다. 본 논문에서는 MIE 메커니즘에 의해 발생되는 플루터 현상을 수학적으로 살펴보고, 단일모드에 대한 플러터계수를 이용한 플러터 발생풍속 산정식을 유도하였다. 또한 준정상 이론을 적용하여 단일모드에 대한 플러터 발생 예측식을 간략화하였다. 제안된 식의 플러터 발생풍속을 구조물의 진동수비가 서로 다른 3개의 $\pi$형 단면에 대해 검토하였다.

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An Orbital Design Method for Satellite Formation Flying

  • Cui Hai-Ying;Li Jun-Feng;Gao Yun-Feng
    • Journal of Mechanical Science and Technology
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    • v.20 no.2
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    • pp.177-184
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    • 2006
  • An orbital design method of the formation initialization based on the relative orbital element method is presented. It firstly constructed the relative motion equation of the satellite formation flying in terms of the leader and followers' orbital elements. Then the equation was simplified when the orbit eccentricity of the leader satellite was small. And according to the satellites' mission, a general design method for the relative trajectory was proposed. The advantage of this method is that one can get a very simple analytical formula of each follower satellite's orbital elements when the orbital eccentricity of the leader satellite is zero. The simulation results show that the method is effective.

Design of a Transverse Flux Linear Motor

  • Chang, Jung-Hwan;Kim, Ji-Won;Kang, Do-Hyun
    • Journal of Magnetics
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    • v.16 no.1
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    • pp.58-63
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    • 2011
  • This paper presents design procedures of a transverse flux linear motor (TFLM). The minimum and maximum flux linkage was determined by the simplified equivalent magnetic circuit and estimated average magnetic flux density at the air gap region by considering the shape of applied magnetomotive force (MMF). With this information, the number of turns of each phase winding was calculated based on the amplitude of applied voltage and speed of a mover. The rated current, coil diameter, and winding area were obtained with the aid of an empirical formula for determining the required MMF. The usefulness of the proposed design method for TFLM is verified by the three-dimensional equivalent magnetic circuit network (EMCN) method and the experimental results of prototyped machine.

Numerical Method for Calculating Fourier Coefficients and Properties of Water Waves with Shear Current and Vorticity in Finite Depth

  • JangRyong Shin
    • Journal of Ocean Engineering and Technology
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    • v.37 no.6
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    • pp.256-265
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    • 2023
  • Many numerical methods have been developed since 1961, but unresolved issues remain. This study developed a numerical method to address these issues and determine the coefficients and properties of rotational waves with a shear current in a finite water depth. The number of unknown constants was reduced significantly by introducing a wavelength-independent coordinate system. The reference depth was calculated independently using the shooting method. Therefore, there was no need for partial derivatives with respect to the wavelength and the reference depth, which simplified the numerical formulation. This method had less than half of the unknown constants of the other method because Newton's method only determines the coefficients. The breaking limit was calculated for verification, and the result agreed with the Miche formula. The water particle velocities were calculated, and the results were consistent with the experimental data. Dispersion relations were calculated, and the results are consistent with other numerical findings. The convergence of this method was examined. Although the required series order was reduced significantly, the total error was smaller, with a faster convergence speed.

Simplified analysis method for anti-overturning of single-column pier girder bridge

  • Liang Cao;Hailei Zhou;Zhichao Ren
    • Structural Engineering and Mechanics
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    • v.91 no.4
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    • pp.403-416
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    • 2024
  • The single-column pier girder bridge, due to its low engineering cost, small footprint, and aesthetic appearance, is extensively employed in urban viaducts and interchange ramps. However, its structural design makes it susceptible to eccentric loads, flexural-torsional coupling effects, and centrifugal forces, among others. To evaluate its anti-overturning performance reasonably, it is crucial to determine the reaction force of the support for the single-column pier girder bridge. However, due to the interaction between vehicle and bridge and the complexity of vibration modes, it poses a significant challenge to analyze the theory or finite element method of single-column pier girder bridges. The unit load bearing reaction coefficient method is proposed in this study to facilitate the static analysis. Numerous parameter analyses have been conducted to account for the dynamic amplification effect. The results of these analyses reveal that the dynamic amplification factor is independent of road surface roughness but is influenced by factors such as the position of the support. Based on parameter analysis, the formula of the dynamic amplification factor is derived by fitting.