• Title/Summary/Keyword: rotation symmetric

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Comparing finite element and meshfree particle formulations for projectile penetration into fiber reinforced concrete

  • O'Daniel, James;Adley, Mark;Danielson, Kent;DiPaolo, Beverly;Boone, Nicholas
    • Computers and Concrete
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    • v.7 no.2
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    • pp.103-118
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    • 2010
  • Penetration of a fragment-like projectile into Fiber Reinforced Concrete (FRC) was simulated using finite element (FE) and particle formulations. Extreme deformations and failure of the material during the penetration event were modeled with multiple approaches to evaluate how well each represented the actual physics of the penetration process and compared to experimental data. A Fragment Simulating Projectile(FSP) normally impacting a flat, square plate of FRC was modeled using two target thicknesses to examine the different levels of damage. The thinner plate was perforated by the FSP, while the thicker plate captured the FSP and only allowed penetration part way through the thickness. Full three dimensional simulations were performed, so the capability was present for non-symmetric FRC behavior and possible projectile rotation in all directions. These calculations assessed the ability of the finite element and particle formulations to calculate penetration response while assessing criteria necessary to perform the computations. The numerical code EPIC contains the element and particle formulations, as well as the explicit methodology and constitutive models, needed to perform these simulations.

Design of a Rotary Electromagnetic Actuator with Linear Torque Output for Fast Steering Mirror

  • Long, Yongjun;Mo, Jinqiu;Chen, Xinshu;Liang, Qinghua;Shang, Yaguang;Wang, Shigang
    • Journal of Magnetics
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    • v.20 no.1
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    • pp.69-78
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    • 2015
  • This paper focuses on the design of a flux-biased rotary electromagnetic actuator with compact structure for fast steering mirror (FSM). The actuator has high force density and its torque output shows linear dependence on both excitation current and rotation angle. Benefiting from a new electromagnetic topology, no additional axial force is generated and an armature with small moment of inertia is achieved. To improve modeling accuracy, the actuator is modeled with flux leakage taken into account. In order to achieve an FSM with good performance, a design methodology is presented. The methodology aims to achieve a balance between torque output, torque density and required coil magnetomotive force. By using the design methodology, the actuator which will be used to drive our FSM is achieved. The finite element simulation results validate the design results, along with the concept design, magnetic analysis and torque output model.

Geopotentinl Field in Nonlinear Balance with the Sectoral Mode of Rossby-Haurwitz Wave on the Inclined Rotation Axis (섹터모드의 로스비하우어비츠 파동과 균형을 이루는 고도장)

  • Cheong, Hyeong-Bin;Park, Ja-Rin
    • Journal of the Korean earth science society
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    • v.28 no.7
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    • pp.936-946
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    • 2007
  • Analytical geopotential field in balance with the sectoral mode (the first symmetric mode with respect to the equator) of the Rossby-Haurwitz wave on the inclined rotation axis was derived in presence of superrotation background flow. The balanced field was obtained by inverting the divergence equation with the time derivative being zero. The inversion consists of two steps, i.e., the evaluation of nonlinear forcing terms and the finding of analytical solutions based on the Poisson's equation. In the second step, the forcing terms in the from of Legendre function were readily inverted due to the fact that Legendre function is the eigenfunction of the spherical Laplacian operator, while other terms were solved either by introducing a trial function or by integrating the Legendre equation. The balanced field was found to be expressed with six zonal wavenumber components, and shown to be of asymmetric structure about the equator. In association with asymmetricity, the advantageous point of the balanced field as a validation method for the numerical model was addressed. In special cases where the strength of the background flow is a half of or exactly the same as the rotation rate of the Earth it was revealed that one of the zonal wavenumber components vanishes. The analytical balanced field was compared with the geopotential field which was obtained using a spherical harmonics spectral model. It was found that the normalized difference lied in the order of machine rounding, indicating the reliability of the analytical results. The stability of the sectoral mode of Rossby-Haurwitz wave and the associated balanced field was discussed, comparing with the flrst antisymmetric mode.

STUDY ON MONITORING UNIT EFFICIENCY OF FLATTENING-FILTER FREE PHOTON BEAM IN ASSOCIATION WITH TUMOR SIZE AND LOCATION

  • Kim, Dae Il;Kim, Jung-In;Yoo, Sook Hyun;Park, Jong Min
    • Journal of Radiation Protection and Research
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    • v.38 no.4
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    • pp.194-201
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    • 2013
  • To investigate monitoring unit (MU) efficiency and plan quality of volumetric modulated arc therapy (VMAT) using flattening-filter free (FFF) photon beam in association with target size and location. A virtual patient was generated in Eclipse$^{TM}$ (ver. A10, Varian Medical Systems, Palo Alto, USA) treatment planning system. The length of major and minor axis in axial view was 50 cm and 30 cm, respectively. Cylindrical-shaped targets were generated inside that patient at the center (symmetric target) and in the periphery (asymmetric target, 7.5 cm away from the center of the patient to the right direction) of the virtual patient. The longitudinal length was 10 cm and the diameters were 2, 5, 10 and 15 cm. Total 8 targets were generated. RapidArc$^{TM}$ plans using TrueBeam STx$^{TM}$ were generated for each target. Two full arcs were used and the axis of rotation of the gantry was set to be at the center of the virtual patient. Total MU, homogeneity index (HI), target mean dose, the value of gradient measure and body mean dose were calculated. In the case of symmetric targets, averaged total MU of FFF plan was 23% and 19% higher than that of flattening filter (FF) plan when using 6 MV and 10 MV photons, respectively. The difference of HI, target mean dose, gradient measure and body mean dose between FF and FFF was less than 0.04, 2.6%, 0.1 cm and 2.2%, respectively. For the asymmetric targets, total MU of FFF plan was 21% and 32% was higher than that of FF when using 6 MV and 10 MV photons, respectively. The homogeneity of the target was always worse when using FFF than using FF. The maximum difference of HI was 0.22. The target mean dose of FFF was 3.2% and 4.1% higher than that of FF for the 6 MV and 10 MV, respectively. The difference of gradient measure was less than 0.1 cm. The body mean dose was higher when using FFF than FF about 4.2% and 2.8% for the 6 MV and 10 MV, respectively. No significant differences between VMAT plans of FFF beam and FF beam were observed in terms of quality of treatment plan. The HI was higher when using FFF 10 MV photons for the asymmetric targets. The MU was increased noticeably when using FFF photon beams.

Horizontal Stress Based on the Calculation of Lateral Stress Ratio in Unsymmetrical Space (비대칭 공간의 수평응력비 산정에 따른 수평응력에 관한 연구)

  • Moon Chang-Yeul;Lee Soo-Ki;Kwon Seung-Joon
    • Journal of the Korean Geotechnical Society
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    • v.20 no.9
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    • pp.177-189
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    • 2004
  • The backfilled space carl have various shapes such as vertical or lateral symmetric, unsymmetric slope depending on field conditions. Kellogg (1993) suggested the different equations for the backfill earth pressure and the lateral stress ratio considering that the stresses are different between the symmetrically sloped backfilled space and the vertical one. Kellogg (1993) assumed the stress generated on sloped wall surface as the simple internal friction angle of backfilled soil. However, Moon (1997) suggested modified Kellogg equation assuming that stress behavior in the sloped wall will be varied according to the rotation angle of principal stress and the friction of sloped wall surface. This study has compared and investigated the horizontal stresss of unsymmetrical backfilled space numerically and experimentally obtained when Kellogg lateral stress ratio is appled to and when average lateral stress ratio considering unsymmetric backfill slop of left and right are applied to the modified Kellogg equation. It is shown that the horizontal stress on the sloped wall has good match numerically and experimentally in the modified Kellogg equation when Kellogg's lateral stress ratio in symmetric condition is applied to the unsymmetric condition. But the horizontal stress on the vertical wall shows disagreement numerically and experimentally. The horizontal stress results in good agreement numerically and experimentally when the average lateral stress ratio of left and right at unsymmetric slop as applied to the modified Kellogg equation. Therefore, it is estimated that the application of the average lateral stress ratio to the left and right wall should be considered when backfilled space formed unsymmetric conditions.

Case Report: Quantitative Evaluation of Gait Function Following Treatment Progression in a Patient with Central Pontine Myelinolysis (중심성 교뇌수초용해 환자의 치료 경과에 따른 보행 기능의 정량적 평가)

  • Sangho Ji;Sunny Kang;Jiwoo Kim;Youngjo So;Sangkwan Lee;Cheol-Hyun Kim
    • The Journal of Internal Korean Medicine
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    • v.45 no.2
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    • pp.190-198
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    • 2024
  • Introduction: Central pontine myelinolysis (CPM) is a rare neurological disorder marked by symmetric nerve fiber damage, commonly following rapid hyponatremia correction, with no established treatment and a poor prognosis. The condition, often linked to alcoholism, malnutrition, and various diseases, lacks comprehensive studies on its impact on gait. This research aims to quantitatively analyze gait changes in CPM patients receiving both traditional Korean and conventional rehabilitation treatments, addressing a gap in current understanding of CPM management. Case presentation: A 56-year-old male diagnosed with CPM following an initial misdiagnosis underwent combined electoracupuncture and rehabilitative treatment at ○○ university Korean medical center, resulting in significant gait improvements. A treadmill gait analysis system was used to measure changes in key gait parameters at 2-week intervals, and the patient's progress was documented. Conclusions: The quantitative analysis revealed significant gait improvements. Foot rotation decreased from 8.9° to 6.4° (right) and from 11.1° to 7.2° (left); lateral symmetry improved from -7.8 to 0.8; step length increased from 21 cm to 44 cm (right) and from 19 cm to 44 cm (left); and velocity increased from 1.2 m/s to 2.7 m/s. These findings highlight decreased foot rotation and lateral symmetry, along with increased step length and velocity, suggesting a positive outcome of the treatment regimen. Notably, the patient experienced no adverse effects related to the treatments. Despite limitations, including the singe case focus and lack of prior gait-focused CPM research, this case report provides valuable insights into effective CPM management strategies, paving the way for future research in this domain.

Nonlinear analysis of damaged RC beams strengthened with glass fiber reinforced polymer plate under symmetric loads

  • Abderezak, Rabahi;Daouadji, Tahar Hassaine;Rabia, Benferhat;Belkacem, Adim
    • Earthquakes and Structures
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    • v.15 no.2
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    • pp.113-122
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    • 2018
  • This study presents a new beam-column model comprising material nonlinearity and joint flexibility to predict the nonlinear response of reinforced concrete structures. The nonlinear behavior of connections has an outstanding role on the nonlinear response of reinforced concrete structures. In presented research, the joint flexibility is considered applying a rotational spring at each end of the member. To derive the moment-rotation behavior of beam-column connections, the relative rotations produced by the relative slip of flexural reinforcement in the joint and the flexural cracking of the beam end are taken into consideration. Furthermore, the considered spread plasticity model, unlike the previous models that have been developed based on the linear moment distribution subjected to lateral loads includes both lateral and gravity load effects, simultaneously. To confirm the accuracy of the proposed methodology, a simply-supported test beam and three reinforced concrete frames are considered. Pushover and nonlinear dynamic analysis of three numerical examples are performed. In these examples the nonlinear behavior of connections and the material nonlinearity using the proposed methodology and also linear flexibility model with different number of elements for each member and fiber based distributed plasticity model with different number of integration points are simulated. Comparing the results of the proposed methodology with those of the aforementioned models describes that suggested model that only uses one element for each member can appropriately estimate the nonlinear behavior of reinforced concrete structures.

Symmetry structured SPN block cipher algorithm (대칭구조 SPN 블록 암호 알고리즘)

  • Kim, Gil-Ho;Park, Chang-Soo;Cho, Gyeong-Yeon
    • Journal of Korea Multimedia Society
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    • v.11 no.8
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    • pp.1093-1100
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    • 2008
  • Feistel and SPN are the two main structures in designing a block cipher algorithm. Unlike Feistel, an SPN has an asymmetric structure in encryption and decryption. In this paper we propose an SPN algorithm which has a symmetric structure in encryption and decryption. The whole operations in our SPN algorithm are composed of the even numbers of N rounds where the first half of them, 1 to N/2, applies function and the last half of them, (N+1)/2 to N, employs inverse function. Symmetry layer is executed to create a symmetry block in between function layer and inverse function layer. AES encryption and decryption algorithm, whose safety is already proved, are exploited for function and inverse function, respectively. In order to be secure enough against the byte or word unit-based attacks, 32bit rotation and simple logical operations are performed in symmetry layer. Due to the simplicity of the proposed encryption and decryption algorithm in hardware configuration, the proposed algorithm is believed to construct a safe and efficient cipher in Smart Card and RFID environments where electronic chips are built in.

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Development of the Last Mass Diameter Prediction Model for Congenital Muscular Torticollis Infants Provided Physical Therapy (물리치료를 받은 선천성 근성 사경 환아의 최종 종괴 지름 예측 모형 개발)

  • Lee, In-Hee;Shin, A-Mi;Lee, Gyeong-Ho;Park, Hee-Joon;Kim, Yoon-Nyun
    • The Journal of Korean Physical Therapy
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    • v.21 no.2
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    • pp.65-70
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    • 2009
  • Purpose: The pathophysiology of congenital muscular torticollis (CMT) is that the sternoclavicularmastoid (SCM) is shortened on the involved side by fibrosis, leading to an ipsilateral tilt and contralateral rotation of the face and chin. The aim of this study was to examine the effect of physical therapy and develop a mass diameter prediction model for infants with CMT. Methods: Fifty six patients were diagnosed with CMT between April 2003 and December 2008. Infants with neurological complications, and spasmodic and ocular torticollis were excluded. Physical therapy was applied to those masses in the SCM muscles of those infants after checking their physical findings and the diameter of the mass with ultrasonography. Their physical findings and mass diameter was reevaluated when their neck tilt was under $5^{\circ}$. Results: The mean age when physical therapy was started was 35 days. After a mean 90 days of treatment, the subjects showed improvement in the neck tilt. Subjects whose neck tilted above $15^{\circ}$ showed significant improvement in neck tilt decreased their mass diameter (p<0.01). Facial symmetric infants showed a shorter recovery duration than the facial asymmetric infants (p<0.05). A mass decreasing model based on the diameter of the mass, facial symmetry or not and the physical therapy start day after birth was developed by linear regression. Conclusion: Physical therapy is an effective treatment for CMT. The change in the diameter of the mass on the SCM muscles after treatment can be predicted.

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Analysis of Camera Rotation Using Three Symmetric Motion Vectors in Video Sequence (동영상에서의 세 대칭적 움직임벡터를 이용한 카메라 회전각 분석)

  • 문성헌;박영민;윤영우
    • Journal of the Institute of Convergence Signal Processing
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    • v.3 no.2
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    • pp.7-14
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    • 2002
  • This paper proposes a camera motion estimation technique using special relations of motion vectors of geometrically symmetrical triple points of two consecutive views of single camera. The proposed technique uses camera-induced motion vectors and their relations other than feature points and epioplar constraints. As contrast to the time consuming iterations or numerical methods in the calculation of E-matrix or F-matrix induced by epipolar constraints, the proposed technique calculates camera motion parameters such as panning, tilting, rolling, and zooming at once by applying the proposed linear equation sets to the motion vectors. And by devised background discriminants, it effectively reflects only the background region into the calculation of motion parameters, thus making the calculation more accurate and fast enough to accommodate MPEG-4 requirements. Experimental results on various types of sequences show the validity and the broad applicability of the proposed technique.

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