• Title/Summary/Keyword: Radial solutions

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Multicriteria shape design of an aerosol can

  • Aalae, Benki;Abderrahmane, Habbal;Gael, Mathis;Olivier, Beigneux
    • Journal of Computational Design and Engineering
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    • v.2 no.3
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    • pp.165-175
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    • 2015
  • One of the current challenges in the domain of the multicriteria shape optimization is to reduce the calculation time required by conventional methods. The high computational cost is due to the high number of simulation or function calls required by these methods. Recently, several studies have been led to overcome this problem by integrating a metamodel in the overall optimization loop. In this paper, we perform a coupling between the Normal Boundary Intersection - NBI - algorithm with Radial Basis Function - RBF - metamodel in order to have a simple tool with a reasonable calculation time to solve multicriteria optimization problems. First, we apply our approach to academic test cases. Then, we validate our method against an industrial case, namely, shape optimization of the bottom of an aerosol can undergoing nonlinear elasto-plastic deformation. Then, in order to select solutions among the Pareto efficient ones, we use the same surrogate approach to implement a method to compute Nash and Kalai-Smorodinsky equilibria.

A Theoretical Study of Photothermal Pulsed Radiometry Method for the Thermal Diffusivity Measurement (재료의 열확산계수 결정을 위한 광열복사법의 이론적 연구)

  • Yook, Hyung-Kyu;Yoo, Jai-Suk;Kim, Hyun-Jung;Lee, Kwang-Jai
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.1 s.232
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    • pp.27-34
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    • 2005
  • We analyze in detail axially symmetric theoretical study for the photothermal pulsed radiometry of a cylindrical model. The theoretical solutions describe the transient infrared radiation from the sample heated by short-duration pulsed heating. In the conventional transmission radiometry technique, the excitation source and the detector are on opposite sides of the sample, otherwise in the new single ended radiometry technique, the excitation source and the detector are on same sides of the sample. The analytical solution described for photothermal radiometry in this study would not need to cut or polish samples to measure the thermal diffusivity. Therefore the radial area and axial thickness of samples are not limited. The effects of excitation pulse duration and the area of heat source are discussed.

Separation of Colloidal Particles by Osmotic Sink Field Flow Fractionation Using UF Hollow Fiber Membranes

  • Shin, Se-Jong;Min, Byoung-Ryul;Park, Jin-Won;Ahh, Ik-Sung;Lee, Kang-Taek;Lee, Jae-Hoon
    • Korean Membrane Journal
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    • v.3 no.1
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    • pp.59-68
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    • 2001
  • Unlike existent field flow fractionation, new method, osmotic sink field flow fractionation is introduced and used ultrafiltration hollow fiber membranes as separation channel. This hollow fiber osmotic sink field flow fractionation is called HF-OSFFF. A theory that describes the retention, relaxation, resolution, plate number for the system, has been developed and experimentally verified by separation model of po1ystyrene latex beads. At external field, it is measured that radial flow rates change according to various concentrations of PEG solutions. Concentration of PEG solution vs. radial flow rate is a linear relation. For diameter distribution of unknown polymer sample, HF-OSFFF compared with the commercial capillary hydrodynamic flow fractionation (CHDF).

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Shape Reconstruction from Unorganized Cloud of Points using Adaptive Domain Decomposition Method (적응적 영역분할법을 이용한 임의의 점군으로부터의 형상 재구성)

  • Yoo Dong-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.8 s.185
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    • pp.89-99
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    • 2006
  • In this paper a new shape reconstruction method that allows us to construct surface models from very large sets of points is presented. In this method the global domain of interest is divided into smaller domains where the problem can be solved locally. These local solutions of subdivided domains are blended together according to weighting coefficients to obtain a global solution using partition of unity function. The suggested approach gives us considerable flexibility in the choice of local shape functions which depend on the local shape complexity and desired accuracy. At each domain, a quadratic polynomial function is created that fits the points in the domain. If the approximation is not accurate enough, other higher order functions including cubic polynomial function and RBF(Radial Basis Function) are used. This adaptive selection of local shape functions offers robust and efficient solution to a great variety of shape reconstruction problems.

Thin CNTs nanoliquid film development over a rough rotating disk

  • Swatilekha Nag;Susanta Maity;Sanjeev K. Metya
    • Advances in nano research
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    • v.15 no.2
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    • pp.91-104
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    • 2023
  • Development of thin carbon nanotubes (CNTs) nanoliquid film over the rough surface of a horizontal rotating disk is investigated by considering symmetric roughness either along the azimuthal or radial directions. The disk surface is either heated or cooled axisymmetrically from below. The effects of single-walled carbon nanotubes (SWCNTs), multi-walled carbon nanotubes (MWCNTs) are analyzed on the film thinning process with different types of base liquids. Closed form solutions for velocity and temperature field are obtained for small values of Reynolds number whereas the numerical solution is derived for moderate values of Reynolds number. It is found that fluid retention / depletion takes place when the roughness is symmetric along the azimuthal / radial directions. It is also seen that the film thinning rate enhances for MWCNTs compare to SWCNTs. Further it is found that two different heat transfer regions exits within the flow domain depending on the fact that heat is transferred from disk to liquid film and vice-versa.

Exact thermoelastoplastic analysis of FGM rotating hollow disks in a linear elastic-fully plastic condition

  • Nadia Alavi;Mohammad Zamani Nejad;Amin Hadi;Anahita Nikeghbalyan
    • Steel and Composite Structures
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    • v.51 no.4
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    • pp.377-389
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    • 2024
  • In the present study, thermoelsatoplastic stresses and displacement for rotating hollow disks made of functionally graded materials (FGMs) has been investigated. The linear elastic-fully plastic condition is considered. The material properties except Poisson's ratio are assumed to vary in the radial direction as a power-law function. The heat conduction equation for the one-dimensional problem in cylindrical coordinates is used to obtain temperature distribution in the disk. The plastic model is based on the Tresca yield criterion and its associated flow rules under the assumption of perfectly plastic material behavior. Exact solutions of field equations for elastic and plastic deformations are obtained. It is shown that the elastoplastic response of the functionally graded (FG) disk is affected notably by the radial variation of material properties. It is also shown that, depending on material properties and disk dimensions, different modes of plastic deformation may occur.

Towards Routine Clinical Use of Radial Stack-of-Stars 3D Gradient-Echo Sequences for Reducing Motion Sensitivity

  • Block, Kai Tobias;Chandarana, Hersh;Milla, Sarah;Bruno, Mary;Mulholland, Tom;Fatterpekar, Girish;Hagiwara, Mari;Grimm, Robert;Geppert, Christian;Kiefer, Berthold;Sodickson, Daniel K.
    • Investigative Magnetic Resonance Imaging
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    • v.18 no.2
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    • pp.87-106
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    • 2014
  • Purpose : To describe how a robust implementation of a radial 3D gradient-echo sequence with stack-of-stars sampling can be achieved, to review the imaging properties of radial acquisitions, and to share the experience from more than 5000 clinical patient scans. Materials and Methods: A radial stack-of-stars sequence was implemented and installed on 9 clinical MR systems operating at 1.5 and 3 Tesla. Protocols were designed for various applications in which motion artifacts frequently pose a problem with conventional Cartesian techniques. Radial scans were added to routine examinations without selection of specific patient cohorts. Results: Radial acquisitions show significantly lower sensitivity to motion and allow examinations during free breathing. Elimination of breath-holding reduces failure rates for non-compliant patients and enables imaging at higher resolution. Residual artifacts appear as streaks, which are easy to identify and rarely obscure diagnostic information. The improved robustness comes at the expense of longer scan durations, the requirement for fat suppression, and the nonexistence of a time-to-center value. Care needs to be taken during the configuration of receive coils. Conclusion: Routine clinical use of radial stack-of-stars sequences is feasible with current MR systems and may serve as substitute for conventional fat-suppressed T1-weighted protocols in applications where motion is likely to degrade the image quality.

Torsional analysis of heterogeneous magnetic circular cylinder

  • Zenkour, Ashraf M.
    • Steel and Composite Structures
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    • v.17 no.4
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    • pp.535-548
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    • 2014
  • In this paper, the exact closed-form solutions for torsional analysis of heterogeneous magnetostrictive circular cylinder are derived. The cylinder is subjected to the action of a magnetic field produced by a constant longitudinal current density. It is also acted upon by a particular kind of shearing stress at its upper base. The rigidity of the cylinder is graded through its axial direction from one material at the lower base to another material at the upper base. The distributions of circumferential displacement and shear stresses are presented through the radial and axial directions of the cylinder. The influence of the magnetostrictive parameter is discussed. The effects of additional parameters are investigated.

Measurement of object depth information using two CCD camera (두 대의 CCD 카메라를 이용한 물체의 깊이정보 측정)

  • 전정희;노경완;김충원
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.693-696
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    • 1998
  • For camera calibration, this paper describes two steps to camera constants and camera parameters. The former is the radial distortion of lens, image center and focal length etc.. The latter is translation, rotation etc.. Camera calibration use tsai's algorithm. In this paper, the solutions are introduced into overdetermined system as matching points that are acquired from two CCD and measured object depth information.

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The Measurement of Detachment of Vane Tip in a Positive Displacement Small Vane Pump (압력 평형형 소형 베인펌프에서의 베인 이간 현상 측정)

  • 안형준;양광식;한동철;박민호
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1998.10a
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    • pp.365-370
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    • 1998
  • This paper reports on the measurement of the vane motion in a positive displacement small vane pump. The capacitive method using ceramic vane is proposed to measure the vane motion. This method enables us to measure only radial motion of the vane regardless of the motions of other directions. With simple experiments and solutions of simultaneous equations, the indirect compensation of measured signal was performed.

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