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Eigenfunctions for Liouville Operators, Classical Collision Operators, and Collision Bracket Integrals in Kinetic Theory Made Amenable to Computer Simulations

  • Eu, Byung-Chan
    • Bulletin of the Korean Chemical Society
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    • v.33 no.3
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    • pp.779-789
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    • 2012
  • In the kinetic theory of dense fluids the many-particle collision bracket integral is given in terms of a classical collision operator defined in the phase space. To find an algorithm to compute the collision bracket integrals, we revisit the eigenvalue problem of the Liouville operator and re-examine the method previously reported [Chem. Phys. 1977, 20, 93]. Then we apply the notion and concept of the eigenfunctions of the Liouville operator and knowledge acquired in the study of the eigenfunctions to cast collision bracket integrals into more convenient and suitable forms for numerical simulations. One of the alternative forms is given in the form of time correlation function. This form, on a further manipulation, assumes a form reminiscent of the Chapman- Enskog collision bracket integrals, but for dense gases and liquids as well as solids. In the dilute gas limit it would give rise precisely to the Chapman-Enskog collision bracket integrals for two-particle collision. The alternative forms obtained are more readily amenable to numerical simulation methods than the collision bracket integrals expressed in terms of a classical collision operator, which requires solution of classical Lippmann-Schwinger integral equations. This way, the aforementioned kinetic theory of dense fluids is made fully accessible by numerical computation/simulation methods, and the transport coefficients thereof are made computationally as accessible as those in the linear response theory.

Robust Rear Center-Hinge Bracket Optimization Based on Taguchi Method (다구찌 방법을 활용한 Rear Center-Hinge Bracket 강건 설계)

  • Jung, Sebin;Kim, Minho
    • Transactions of the Korean Society of Automotive Engineers
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    • v.22 no.3
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    • pp.203-209
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    • 2014
  • The rear center-hinge bracket is designed for supporting and folding the rear-seat backrest. This bracket needs to be strong enough to be able to rigidly hold the rear-seat backrest and to withstand luggage loads from the car trunk that are generated when a vehicle is driving on the roads. Particularly, current accident studies report that many serious occupant injuries occurred when the rear-seat back easily folded inward toward the car interior, driven by the luggage loads in the trunk. Given this fact, the robust design of the rear center-hinge bracket that mainly supports the rear backrest has become more important for providing customer safety and preventing high warranty and durability problems. However, none of the studies have emphasized its significant role and considered its robust optimization. Therefore, this paper presents how the hinge-bracket design is optimized based on an application of the finite-element method coupled with the parameter design using Taguchi's design experiment. Finally, Taguchi method's application optimizes a robust center-hinge bracket that shows more rigid performance although it has lighter weight and thinner thickness.

Seismic Analysis and Vibration Test of HANARO In-Chimney Bracket (하나로 침니내부지지대의 내진해석 및 진동시험)

  • 류정수;윤두병
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.04a
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    • pp.481-488
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    • 2001
  • The HANARO in-chimney bracket was proposed as a structure which supports the guide tubes of irradiation facilities at the irradiation sites of CT, IR and OR4/5 in HANARO core for the reduction of flow-induced vibration and seismic response of the irradiation facilities. For the evaluation of the structural integrity of the in-chimney bracket, its finite element model is developed. The seismic response analysis was performed for the in-chimney bracket and related reactor structures, under the response spectrum of OBE and SSE. The analysis results show that stress values of the in-chimney bracket and reactor structures for the seismic loads are within the ASME code limits. It is also confirmed that its fatigue usage factor is much less than 1.0. For the verification of the implementation effects of the in-chimney bracket, the vibration level of the guide tube of the instrumented fuel assembly, which is subjected to fluid-induced vibration, was measured and analyzed. The vibration analysis results demonstrate that the vibration level of the instrumented fuel assembly has been remarkably reduced after installing the in-chimney bracket. Therefore, when the in-chimney bracket is installed at the reactor chimney, any damage on the structural integrity is not expected.

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Design of Bumper Backbeam Center Reinforcement Bracket for IIHS Full Overlap Bumper Test (IIHS 풀 오버랩 범퍼 시험 대응 범퍼 백빔 중앙 보강재 설계)

  • Kang, Sungjong
    • Transactions of the Korean Society of Automotive Engineers
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    • v.23 no.1
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    • pp.105-111
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    • 2015
  • Since 2007, Insurance Institute of Highway Safety(IIHS) has conducted the new bumper test using bumper barrier to estimate the repair cost of impacted vehicle. In this study, for the front body FE model of a medium size passenger car analyzes were carried out to optimize the shape of backbeam center reinforcement bracket. First, overlap effect was examined with changing the overlap magnitude and spot welds were added along the backbeam center line for reducing the section shear deformation. Next, for an overlap model design parameter study was performed for the bracket. Thickness effect was examined and an inner reinforcement was added to the bracket. Also, the lower part of bracket was deleted and additionally the bracket length was extended. The results were discussed in terms of backbeam backward deflection, barrier backstop intrusion and weight. Compared with the current design, the final model showed 44.1% bracket weight reduction with 30.0% decrease of backbeam deflection.

A study of the formation of artificial plaque on orthodontic brackets (교정용 브라켓상의 인공치태 형성에 대한 연구)

  • Yang, Kyu-Ho;Oh, Jong-Suk
    • Journal of the korean academy of Pediatric Dentistry
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    • v.26 no.1
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    • pp.88-95
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    • 1999
  • 구강내의 교정 장치는 미생물 전파에 있어서 다양한 장소를 제공한다. 치태는 치아 우식증 발생에 있어 매우 큰 역할을 하며 미생물, 비세포성 물질로 구성되어 있다. 본 연구의 목적은 생체외에서 교정용에서의 인공 치태 생성에 영향을 주는 요인을 평가하는 것이다. Streptococcus mutans type c는 $CO_2$ incubator내의 $37^{\circ}C$에서 brain heart infusion broth에서 배양 되었다. 중절치에 사용하는 9개의 $.018"{\times}.025"$ standard edgewise brackets을 3개씩 비이커의 배양액에 매달았다. 3개 비이커의 배양액 pH는 각 각 pH 5.5, 7.0 그리고 8.5로 조절되었다. 5시간 후에 비이커에서 각각의 bracket을 꺼내서, bracket의 평균 무게를 측정하였다. 배지의 stirring effect를 측정하기 위하여 3개씩 $.018"{\times}.025"$ standard edgewise brackets을 2개의 비이커에 위치시켰다. 12개의 brackets을 $CaCl_2$(0.25, 1.0, 4.0 그리고 16.0mM). KCl(2.5, 10, 40 그리고 160mM) 그리고 $MgCl_2$(0.1, 0.4, 1.6, 그리고 6.4mM) 용액에 각각 매달았다. 6개의 $.018"{\times}.025"$ standard edgewise brackets, 6개의 $.022"{\times}.028"$ Roth brackets과 6개의 $.022"{\times}.028"$ Broussard brackets을 각각의 비이커 내에 매달았다. 배양액 내에서 5시간 동안 배양한 후 각각의 brackets을 근사값의 milligram 단위로 측정하였다. 그룹 사이의 차이는 Mann-Whitney와 Kruskal-Wallis tests를 이용하여 비교하였다. p value<0.05의 조건에서 이들의 차이는 통계학적 유의성을 갖는다. 5시간 동안 pH 5.5에서 배양된 Streptococcus mutans에 의해 형성된 인공 치태는 pH 7.0 이나 pH 8.5에서 배양된 것보다 작았다(p<0.05). 인공 치태는 배양하는 동안 저어졌을 때 더 많이 형성되었다(p<0.05). 결론적으로 bracket에 형성된 인공 치태는 좀 더 높은 알칼리성 배지에서 배양됨으로써, 그리고 배양 동안 배지를 저어줌으로써 유의성있게 증가하였다. 그러나 배지의 $CaCl_2,\;KCl,\;MgCl_2$의 농도와 상업적으로 다른 종류의 이용 가능한 교정용 bracket에 대해서는 유의한 차이가 없었다.

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A comparative study of frictional force in self-ligating brackets according to the bracket-archwire angulation, bracket material, and wire type

  • Lee, Souk Min;Hwang, Chung-Ju
    • The korean journal of orthodontics
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    • v.45 no.1
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    • pp.13-19
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    • 2015
  • Objective: This study aimed to compare the frictional force (FR) in self-ligating brackets among different bracket-archwire angles, bracket materials, and archwire types. Methods: Passive and active metal self-ligating brackets and active ceramic self-ligating brackets were included as experimental groups, while conventional twin metal brackets served as a control group. All brackets were maxillary premolar brackets with 0.022 inch [in] slots and a $-7^{\circ}$ torque. The orthodontic wires used included 0.018 round and $0.019{\times}0.025$ in rectangular stainless steel wires. The FR was measured at $0^{\circ}$, $5^{\circ}$, and $10^{\circ}$ angulations as the wire was drawn through the bracket slots after attaching brackets from each group to the universal testing machine. Static and kinetic FRs were also measured. Results: The passive self-ligating brackets generated a lower FR than all the other brackets. Static and kinetic FRs generally increased with an increase in the bracket-archwire angulation, and the rectangular wire caused significantly higher static and kinetic FRs than the round wire (p < 0.001). The metal passive self-ligating brackets exhibited the lowest static FR at the $0^{\circ}$ angulation and a lower increase in static and kinetic FRs with an increase in bracket-archwire angulation than the other brackets, while the conventional twin brackets showed a greater increase than all three experimental brackets. Conclusions: The passive self-ligating brackets showed the lowest FR in this study. Self-ligating brackets can generate varying FRs in vitro according to the wire size, surface characteristics, and bracket-archwire angulation.

Structural Analysis of Arch Anchor Brackets in Ground Anchor Construction (그라운드 앵커공법용 아치형 앵커브라켓의 구조해석)

  • Kim, Jae-Yeol;Kim, Young-Ho
    • Journal of Korean Association for Spatial Structures
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    • v.14 no.1
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    • pp.69-76
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    • 2014
  • When we excavate an underground to build basement, the ground anchors are needed to prevent collapse of neighboring ground, subsidence and movement. Ground anchor construction required shore sheet piles, wales and struts as to maintain secure excavation. Existing box-type bracket using head part of ground anchor can not be possibly adjustable to the boring angle because the brackets are manufactured with unified angle in a factory. Also, box-type brackets have imperfection and instability caused by inequable force. In this study, a new bracket system is proposed. The bracket's side plate is reinforced and the angle of boring can be controlled. To investigate the structural performance of presented brackets, FEM analysis has been performed by using ANSYS commercial program. As a result, this bracket shows sufficient stability for all angle case and the strength is increased about 24% than existing bracket.

A Study on the Prediction and Control of Welding Deformation of the BRACKET TILT in Automotive Parts (I) - Experimental Examination- (자동차 부품 BRACKET TILT의 용접변형 예측 및 제어에 관한 연구 (I) - 실험적 검토-)

  • 장경복;김하근;강성수
    • Journal of Welding and Joining
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    • v.16 no.6
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    • pp.97-103
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    • 1998
  • The bracket tilt among automobile parts is weld parts which construct the column assembly bracket tilt of equipments and accurate dimension after welding is more essential than weldment strength. By the way, it is insufficient that systematic study about this parts which have an importance on welding deformation. The reason is that welding deformation is complex problem with shape, size, material of parts and welding sequence, conditions etc. For reduction and removal of welding deformation, therefore, it is necessary that the security of welding deformation data and systematic examination about equipment, costs, work environment, manufacturing process etc. It is all the better that the prediction of welding deformation using simulation of welding process by FEA is supplemented. In this study, the countermeasure for this welding deformation of bracket tilt is brought up through experimental inspection before the choice of the optimum welding conditions with minimum welding deformation by simulation of welding process.

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Fatigue Test and Simulation on the Steel Welded L-Shaped Frame (L 형상 용접 프레임의 피로 실험 및 시뮬레이션)

  • Lee, Jung-Hee;Kim, Jae-Hoon;Kong, Jeong-Pyo;Han, Kyu-Hyun;Lee, Young-Shin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.1
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    • pp.63-69
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    • 2008
  • A fatigue test on the steel welded L-shaped frame was conducted. The frame was consisted with carbon steel tube and reinforced bracket. The four type reinforced brackets were fabricated. They were two rectangular plate reinforced bracket, two sided pentagon plate reinforced bracket, triangular plate reinforced bracket and fully reinforced bracket. The fatigue test of frame was conducted with axial tension loading. The fatigue simulation of the steel welded L-shaped frame was also performed by the finite element method with code FEMFAT. The frame of fully reinforced bracket had the highest fatigue life and reinforced quality factor.

A Study of Bracket Position in Korean (한국인의 Bracket위치에 관한 연구)

  • Lee, Sun-Bok;Lee, Dong-Joo
    • The korean journal of orthodontics
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    • v.16 no.2
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    • pp.107-114
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    • 1986
  • This study was undertaken to determine the adequate bracket position in Korean. The subjects were consisted of casts and photographs of 30 males & 30 famales. They had acceptable profile, normal occlusion, no loss of teeth and no experience of dental treatment. The following conclusions were obtained. 1. In case of no necessity of the posterior teeth movement, bracket angulation was made automatically by paralleling the bracket slot with occlusal plane. 2. Axial inclination of all teeth were measured, and those of canine & premolar were much variable. 3. Adequate bracket position of Korean occlusion were obtained.

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