• Title/Summary/Keyword: Curved linear

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Free Vibration Analysis of Horizontally Curved Beams with Variable Cross Sectional Width on Elastic Foundation (탄성지반 위에 놓인 단면폭이 변화하는 수평 곡선보의 자유진동 해석)

  • 이병구;박광규;오상진;이태은
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.29-36
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    • 2003
  • This paper deals with the free vibration analysis of horizontally circular mea beams with variable cross sectional width on elastic foundations. Taking into account the effects of rotatory inertia and shear deformation differential equations governing the free vibrations of such beams are derived, in which the Whlkler foundation model is considered as the elastic foundation. The variable width of beam is chosen as the linear equation. The differential equations are solved numerically to calculate natural frequencies. In numerical examples, the curved beam with the hinged-hinged, hinged-clamped, clamped-hinged and damped-clamped end constraints are considered The parametric studies are conducted and the lowest four frequency parameters are reported in figures as the non-dimensional forms.

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Stability of tow-steered curved panels with geometrical defects using higher order FSM

  • Fazilati, Jamshid
    • Steel and Composite Structures
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    • v.28 no.1
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    • pp.25-37
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    • 2018
  • For the first time, the parametric instability characteristics of tow-steered variable stiffness composite laminated (VSCL) cylindrical panels is investigated using B-spline finite strip method (FSM). The panel is considered containing geometrical defects including cutout and delamination. The material properties are assumed to vary along the panel axial length of any lamina according to a linear fiber-orientation variation. A uniformly distributed inplane longitudinal loading varies harmoni-cally with time is considered. The instability load frequency regions corresponding to the assumed in-plane parametric load-ing is derived using the Bolotin's first order approximation through an energy approach. In order to demonstrate the capabili-ties of the developed formulation in predicting stability behavior of the thin-walled VSCL structures, some representative results are obtained and compared with those in the literature wherever available. It is shown that the B-spline FSM is a proper tool for extracting the stability boundaries of perforated delaminated VSCL panels.

Two Node Meridional Strain-based Axisymmetric Shell Elements (자오 변형률에 근거한 2절검 축대칭 셸요소)

  • Ryu, Ha-Sang;Sin, Hyo-Chol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.6
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    • pp.925-932
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    • 1997
  • Two shear-flexible curved axisymmetric shell elements with two nodes, LCCS(linear curvature and constant strain) and CCCS(constant curvature and constant strain) are designed based on the assumed meridional strain fields and shallow shell geometry. At the element level, meridional curvature, membrane strain and shear strain fields are assumed by using polynomials and the displacement fields are obtained by integrating the assumed strain fields along the shallowly curved meridian. The formulated elements have high order displacement fields consistent with the strain field. Several test problems are given to demonstrate the performance of the two elements. Analysis results obtained reveal that the elements are very accurate in the displacement and the stress predictions.

Large Deflection and Elastoplastic Analysis of the Plane Framed Structure Using Isoparametric Curved Beam Element (Isoparametric 곡선(曲線) 보요소(要素)를 이용한 평면(平面)뼈대 구조물(構造物)의 대변형(大變形) 및 탄소성(彈塑性) 유한요소해석(有限要素解析))

  • Kim, Moon Young;Shin, Hyun Mock;Lee, Chang Yong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.2
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    • pp.41-49
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    • 1993
  • This paper presents a geometrically non-linear and elastoplastic F.E. formulation using a total Lagrangian approach for the two dimensional isoparametric curved beam elements. The beam element is derived by using plane stress elements. The basic element geometry is constructed using the coordinates of the nodes on the element center line and the nodal point normals. The element displacement field is described using two translations of the node on the center line and a rotation about the axes normal to the plane containing the center line of the element. The layered approach is used for the elastoplastic analysis of the plane framed structure with the arbitrary cross section. The iterative load or displacement incremental method for non-linear finite element analysis of the frame structure is used. Numerical examples are presented to demonstrate the behavior and the accuracy of the proposed beam element for geometric and elastoplastic non-linear applications. Comparisons made with present theory and other published data show that tilt' beam element products accurate results with good convergence characteristics.

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Development of rotational pulse-echo ultrasonic propagation imaging system capable of inspecting cylindrical specimens

  • Ahmed, Hasan;Lee, Young-Jun;Lee, Jung-Ryul
    • Smart Structures and Systems
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    • v.26 no.5
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    • pp.657-666
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    • 2020
  • A rotational pulse-echo ultrasonic propagation imager that can inspect cylindrical specimens for material nondestructive evaluations is proposed herein. In this system, a laser-generated ultrasonic bulk wave is used for inspection, which enables a clear visualization of subsurface defects with a precise reproduction of the damage shape and size. The ultrasonic waves are generated by a Q-switched laser that impinges on the outer surface of the specimen walls. The generated waves travel through the walls and their echo is detected by a Laser Doppler Vibrometer (LDV) at the same point. To obtain the optimal Signal-to-Noise Ratio (SNR) of the measured signal, the LDV requires the sensed surface to be at a right angle to the laser beam and at a predefined constant standoff distance from the laser head. For flat specimens, these constraints can be easily satisfied by performing a raster scan using a dual-axis linear stage. However, this arrangement cannot be used for cylindrical specimens owing to their curved nature. To inspect the cylindrical specimens, a circular scan technology is newly proposed for pulse-echo laser ultrasound. A rotational stage is coupled with a single-axis linear stage to inspect the desired area of the specimen. This system arrangement ensures that the standoff distance and beam incidence angle are maintained while the cylindrical specimen is being inspected. This enables the inspection of a curved specimen while maintaining the optimal SNR. The measurement result is displayed in parallel with the on-going inspection. The inspection data used in scanning are mapped from rotational coordinates to linear coordinates for visualization and post-processing of results. A graphical user interface software is implemented in C++ using a QT framework and controls all the individual blocks of the system and implements the necessary image processing, scan calculations, data acquisition, signal processing and result visualization.

Design of a Force Applying System for a Smart-phone Curved Glass Molding System and Its Characteristic Test (스마트폰 곡면유리 성형시스템의 가압장치 설계 및 곡면유리 성형특성실험)

  • Kim, Hyeon-Min;Hong, Tae-Kyung;Jung, Dong-Yean;Lee, Yeon-Hyeong;Park, Jea-Hyun;Kim, Gab-Soon
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.5
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    • pp.570-577
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    • 2014
  • This paper describes the design of a force applying system for a smart phone curved glass molding system and its characteristic test. The force applying system is composed of a motor and gear, a rectilinear movement structure, a force sensor, an LVDT (Linear Variable Differential Transformer) sensor, an up and down moving block, and so on. The system precisely controls the applying force and time to the plane glass because the glass can be easily destroyed under applied force, and can be bent imperfectly. As a result of the characteristic test, the curved glass can be manufactured using this system, and the holding time under 0N force, the applying force to the plane glass, the time for applying from 0N to maximum force, and the holding time under maximum force at the manufacture feasible temperature $620^{\circ}C$ were found.

On Numerical Treatment of Pressure Gradient at the Interface Between a Homogeneous Fluid and a Porous Medium (순수유체와 다공성물질의 경계면에서 압력구배의 수치적 처리에 관하여)

  • Kim I. S.;Nam J. H.;Kim C.-J.
    • Journal of computational fluids engineering
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    • v.4 no.3
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    • pp.28-34
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    • 1999
  • The objective of this study is to present a numerical treatment of the pressure gradient when control volumes are sharing the interface between a homogeneous fluid and a porous medium. Two possible approaches, e.g. linear interpolation and extrapolation, are considered, and they are applied to the case of a steady and two-dimensional curved channel flow which is partially filled with a porous medium. It was found that the linear extrapolation produces a continuous velocity-field at the interface and thus is recommended. On the contrary, the linear interpolation entails a discontinuous velocity field at the interface, thereby warning its use in connection with the Brinkman-Forchheimer-extended Darcy flow model.

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External Force Control for Two Dimensional Contour Following ; Part 1. A Linear Control Approach

  • Park, Young-Chil;Kim, Sungkwun
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.130-134
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    • 1992
  • The ability of a robot system to comply to an environment via the control of tool-environment interaction force is of vital for the successful task accomplishment in many robot application. This paper presents the implementation of external force control for two dimensional contour following task using a commercial robot system. Force accommodation is used since a constraint imposed in our work is not to modify the commercial robot system. A linear, decoupled model of two dimensional contour following system in the discrete time domain is derived first. Then the experimental verification of linear control is obtained using a PUMA 560 manipulator with standard Unimation controller, Astek FS6-120A six axis wrist force sensor attached externally to the arm and LSI-11173 microcomputer. Experimentally obtained data shows that the RMS contact force error is 0.8246 N when following the straight edge and 2.3768 N when following 40 mm radius curved contour.

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Free Surface Oscillation in Sloshing Problem Predicted with ALE Method

  • Ushijima Satoru
    • 한국전산유체공학회:학술대회논문집
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    • 1999.05a
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    • pp.11-22
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    • 1999
  • A numerical prediction method has been proposed to predict non-linear free surface oscillation in a three-dimensional container. The fluid motions are numerically predicted with Navier-Stokes equations discretized in a Lagrangian scheme with sufficient numerical accuracy. The profile of a free surface is precisely represented with three-dimensional body-fitted coordinates (BFC), which are regenerated in each computational step on the basis of the arbitrary Lagrangian-Eulerian (ALE) formulation. In order to confirm the reliability of the computational method, it was firstly applied to three-dimensional flows within complicated-shaped rigid boundaries, such as curved pipes and ducts. Than it was applied to benchmark computations related to free surface oscillations. Following these basic verifications, non-linear sloshings in a cylindrical tank and transitions from sloshing to swirling motions were numerically predicted. Throughout these computations, the applicability of the present computational method has been confirmed and some of the predicted free surface motions were visualized as sequential images and animations to understand their dynamic futures.

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The Beauty of the Lines on Men′s Po in the Chosun Dynasty

  • Do, Ju-Yeun
    • The International Journal of Costume Culture
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    • v.4 no.2
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    • pp.94-114
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    • 2001
  • Men's Po of (he Chosun period became simple and stable in shape as the nation moved from its early to late period. Re lines of the external structure of the clothing shows the beauty of the garment. Re lines generally derive their beauty from curved lines, gradually replacing the straight lines of the earlier part of the Chosun period. The linear beauty of the external structure of men's Po is found in the outline and silhouette. Generally in the early Chosun period it could be seen that H-shaped silhouettes, narrowed strips and flexible drapes descending to the ankles were still in use from the period of the Koryo dynasty And in the 17th century, or the mid Chosun period, considerable numbers of H-shaped drapes with wide sleeves and side Moo were seen. At the beginning of the 18th century, voluminous A-shaped outlines appeared. From the late Chosun period through the mid and late Chosun period, or the 18th and 19th centuries, the from silhouette changed from voluminous A-shapes to narrower H-shapes. The beauty of the lines of the external structure of men's Po is due to its harmonising with the straight body lines of men. The straight Git of the early Chosun period harmonises beautifully with the straight Baerae and Doryun and the curved Git of the later Chosun period similarly harmonises with the curved Baerae and Doryun lines. The shape of men's Po has a balance betweon right and left, centering around the Sup lines. The sleeves have the balanced beauty of vertical lines. Git and Sup have beauty through the balance of oblique and straight lines while Baerae and Doryun have similar balances through curves. Jikrung, Chulik, Dapho's side Moo, coat strings, Doryun and sleeves drape, all of which are manufactured by means of plane cutting, Pow together beautifully. Re Git, Sup, and the silhouette and drape of men's Po, which are also manufactured through plane cutting, make the wearer look tall and at the same time express the beauty of mature manhood. The linear beauty shown in men's Po during the Chosun Period have beauty through harmonizing with straight and curved lines, beauty balance, beauty of flow, beutity of emphasis and beauty of optical illusion.

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