• 제목/요약/키워드: Equivalent plate

검색결과 461건 처리시간 0.024초

Dynamic analysis of a transversely isotropic non-classical thin plate

  • Fadodun, Odunayo O.;Borokinni, Adebowale S.;Layeni, Olawanle P.;Akinola, Adegbola P.
    • Wind and Structures
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    • 제25권1호
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    • pp.25-38
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    • 2017
  • This study investigates the dynamic analysis of a transversely isotropic thin plate. The plate is made of hyperelastic John's material and its constitutive law is obtained by taken the Frechect derivative of the highlighted energy function with respect to the geometry of deformation. The three-dimensional equation governing the motion of the plate is expressed in terms of first Piola-Kirchhoff's stress tensor. In the reduction to an equivalent two-dimensional plate equation, the obtained model generalizes the classical plate equation of motion. It is obtained that the plate under consideration exhibits harmonic force within its planes whereas this force varnishes in the classical plate model. The presence of harmonic forces within the planes of the considered plate increases the natural and resonance frequencies of the plate in free and forced vibrations respectively. Further, the parameter characterizing the transversely isotropic structure of the plate is observed to increase the plate flexural rigidity which in turn increases both the natural and resonance frequencies. Finally, this study reinforces the view that non-classical models of problems in elasticity provide ample opportunity to reveal important phenomena which classical models often fail to apprehend.

Application of Equivalent Walking Loads for Efficient Analysis of Floor Vibration Induced by Walking

  • 김기철;김재열
    • 한국공간구조학회논문집
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    • 제4권4호
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    • pp.65-76
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    • 2004
  • Walking loads are usually considered as nodal loads in the finite element vibration analysis of structures subjected to walking loads. Since most of the walking loads act on elements not nodes, the walking loads applied on the elements should be converted to the equivalent nodal walking loads. This paper begins with measuring walking loads by using a force plate equipped with load cells and investigates the characteristics of the walking loads with various walking rates. It is found that the walking loads are more affected by walking rates than other parameters such as pedestrian weight, type of footwear, surface condition of floor etc. The measured walking loads are used as input loads for a finite element model of walking induced vibration. Finally, this paper proposes the equivalent nodal walking loads that are converted from the walking loads acting on elements based on finite element shape functions. And the proposed equivalent walking loads are proved to be applicable for efficient analysis of floor vibration induced by walking loads.

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Buckling response of smart plates reinforced by nanoparticles utilizing analytical method

  • Farrokhian, Ahmad
    • Steel and Composite Structures
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    • 제35권1호
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    • pp.1-12
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    • 2020
  • This article deals with the buckling analysis in the plates containing carbon nanotubes (CNTs) subject to axial load. In order to control the plate smartly, a piezoelectric layer covered the plate. The plate is located in elastic medium which is modeled by spring elements. The Mori-Tanaka low is utilized for calculating the equivalent mechanical characteristics of the plate. The structure is modeled by a thick plate and the governing equations are deduced using Hamilton's principle under the assumption of higher-order shear deformation theory (HSDT). The Navier method is applied to obtain the bulking load. The effects of the applied voltage to the smart layer, agglomeration and volume percent of CNT nanoparticles, geometrical parameters and elastic medium of the structure are assessed on the buckling response. It has been demonstrated that by applying a negative voltage, the buckling load is increased significantly.

Analysis of Parameters Influence on the Characteristics of Thomson Coil Type Actuator of Arc Eliminator Using Adaptive Segmentation Equivalent Circuit Method

  • Li, Wei;Jeong, Young-Woo;Yoon, Hee-Sung;Koh, Chang-Seop
    • Journal of Electrical Engineering and Technology
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    • 제5권2호
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    • pp.282-289
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    • 2010
  • A Thomson coil type actuator is applied as the driving unit in an arc eliminator system. To eliminate the arc efficiently, the speed of the actuator is required as fast as possible with certain limit of the exciting current. Therefore, the dynamic characteristics of the Thomson coil type actuator should be analyzed in an effective way. In this paper, a novel solving technique has been developed based on the equivalent circuit model which is set up by dividing the conducting plate into multi segments. To guarantee the calculation accuracy and improve the calculation efficiency, an adaptive refinement algorithm is suggested based on the field continues condition. The proposed method has been verified by the FEM calculation and experiment. The influence of circuit and plate parameters to the performance of the actuator is also investigated, from which a reasonable set of parameters can be found.

On the eigenvalues of a uniform rectangular plate carrying any number of spring-damper-mass systems

  • Chen, Der-Wei
    • Structural Engineering and Mechanics
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    • 제16권3호
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    • pp.341-360
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    • 2003
  • The goal of this paper is to determine the eigenvalues of a uniform rectangular plate carrying any number of spring-damper-mass systems using an analytical-and-numerical-combined method (ANCM). To this end, a technique was presented to replace each "spring-damper-mass" system by a massless equivalent "spring-damper" system with the specified effective spring constant and effective damping coefficient. Then, the mode superposition approach was used to transform the partial differential equation of motion into the matrix equation, and the eigenvalues of the complete system were determined from the associated characteristic equation. To verify the reliability of the presented theory, all numerical results obtained from the ANCM were compared with those obtained from the conventional finite element method (FEM) and good agreement was achieved. Since the order of the property matrices for the equation of motion obtained from the ANCM is much lower than that obtained from the FEM, the CPU time required by the ANCM is much less than that by the FEM.

2방향 중공슬래브의 효율적인 해석 (Efficient Analysis of Biaxial Hollow Slab)

  • 박현재;김현수;박용구;황현식;이기장;이동근
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2008년도 정기 학술대회
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    • pp.362-367
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    • 2008
  • Recently, the use of biaxial hollow slab is increased to reduce noise and vibration of the floor slab. Therefore, an efficient method for the vibration analysis of biaxial hollow slab is required to describe dynamic behavior of biaxial hollow slab. A finite element analysis is one of the method to analyze the biaxial hollow slab. It is necessary to use a refined finite element model for an accurate analysis of a floor slab with an effects of the hollow shape. But it would take a significant amount of computational time and memory if the entire building structure were subdivided into a finer mesh. Thus the proposed method uses equivalent plate model in this study. Dynamic analyses of an example structure subjected to walking loads were performed to verify the efficiency and accuracy of the proposed method.

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모형선과 실선의 상관관계 추정을 위한 등가평판의 수치해석 및 적용 (Numerical simulation of flow around an equivalent plate for model-ship correlation)

  • 김영민;박미연;이희범
    • EDISON SW 활용 경진대회 논문집
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    • 제1회(2012년)
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    • pp.109-112
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    • 2012
  • 선박의 저항을 추정하는 일은 선박설계에 있어 가장 기본적인 작업이다. 그러나 선박의 크기는 매우 크기 때문에 일반적으로 모형선 실험을 통해 선박의 저항을 추정한다. 이 때, 모형선 실험은 Froude 수를 기준으로 수행하게 되는데 이 때문에 모형선과 실선의 Reynolds 수가 서로 다른 영역에 놓이게 된다. 따라서 모형선 실험에서 얻어진 데이터를 실선에 그대로 적용할 수 없기 때문에 모형선-실선 저항추정법을 사용하게 된다. 본 연구에서는 이러한 모형선-실선 저항추정법에 사용되고 있는 2 차원 외삽법을 살펴보고 이 기법에 사용되고 있는 ITTC 마찰저항곡선을 등가평판 주위의 유동장 해석결과와 비교하였으며 ITTC 마찰저항곡선에 대해 고찰하였다.

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평행평판 도파관 윗면에 위치한 유한한 슬릿배열로 구성된 비균일한 누설파 구조 (Non-uniform leaky wave structure composed of finite way of slits on the upper wall of a parallel-plate waveguide)

  • 이종익;조영기
    • 전자공학회논문지D
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    • 제35D권12호
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    • pp.12-20
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    • 1998
  • 평행평판도파관에 유한한 개수의 슬릿으로 이루어진 비균일한 누설파 구조를 송(수)신 누설파 안테나와 격자 결합기의 관점에서 해석하였다. 특정한 복소 전파상수분포를 갖는 누설파 구조를 구성하기 위하여 누설파 구조를 따라 주기와 슬릿의 폭을 함께 변화시켰다. 가우스, 균일, 코사인, 코사인 제곱, Taylor 분포와 같은 다양한 전원(등가 자계전류)분포를 갖는 누설파 구조의 슬릿영역의 등가 자계전류와 복사특성에 관한 결과들을 제시하고 상호 비교하여 보았다.

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Digora$\textregistered$에서 정량영상의 특성에 대한 평가 (The Assessment on the Characteristics of Quantitative Image in Digora$\textregistered$)

  • 김재덕
    • 치과방사선
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    • 제29권2호
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    • pp.397-405
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    • 1999
  • Purpose: To clarify the usefulness and the limitation of Digora system/sup (R)/ by evaluating the physical characteristics as the quantitative image on Image Plate(Ip). Materials and Methods: Radiograms were taken by Heliodent MD(Siemens Co.. Germany) with the image plate for adult. Cu-step wedge as reference material. and three pieces of dry mandibular bone. Image analysis was performed by single color enhancement. density measurement with histogram. The relationship between the exposure conditions and the distribution of the pixel values of the image. the variation of pixel values of each step of Cu-step wedge at two different area and Cu-equivalent value of three pieces of dry mandibular bone measure by the conversion equation. Results: There was no linear relationship between the exposure condition and the average pixel value of the image. of which the distribution was not even. The pixel value differences between the center portion and the periphery were ranged from 60 to 70 in vertical plane and from 15 to 26 in horizontal plane. Two plot profile formed at two different areas of the Cu-step wedge were different. The measured Cu-equivalent values showed the discrepancy among the times of measurement. Conclusion: As above results. Image Plate(Ip) of Digora system/sup (R)/ showed the limitation as the quantitative image. The physical property of IP was expected to need to be compensated for the quantitative evaluation of the bone or others

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Dynamic Characteristics Analysis of High Speed Thomson-coil Arc Eliminator Using Equivalent Electric Circuit Method with Adaptive Segmentation of conducting Plate

  • ;;정영우;고창섭
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.90-92
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    • 2008
  • A novel solving technique has been developed to analyze the dynamic characteristics of high speed Thomson-coil arc eliminator. The electromagnetic repulsion actuator based on Thomson-coil is taken as the driving part of the arc eliminator, due to which, the opening and closing time is quite short compare to other type actuators. The electromagnetic repulsion actuator is composed of one repulsion plate and two fixed coils, corresponding to the opening coil and closing coil, respectively. The new solving technique is derived based on the equivalent electric circuit model of the system which is set up by dividing the repulsion plate into multi segments using adaptive segmentation method. This solving technique is applied to the dynamic characteristic analysis of electromagnetic repulsion actuators in high speed Thomson-coil arc eliminators. The calculation results are testified by the FEM calculation results and experiment results.

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