• Title/Summary/Keyword: Axial rotation

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Vibration analysis of rotating beam with variable cross section using Riccati transfer matrix method

  • Feyzollahzadeh, Mahdi;Bamdad, Mahdi
    • Structural Engineering and Mechanics
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    • v.70 no.2
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    • pp.199-207
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    • 2019
  • In this paper, a semi-analytical method will be discussed for free vibration analysis of rotating beams with variable cross sectional area. For this purpose, the rotating beam is discretized through applying the transfer matrix method and assumed the axial force is constant for each element. Then, the transfer matrix is derived based on Euler-Bernoulli's beam differential equation and applying boundary conditions. In the following, the frequencies of the rotating beam with constant and variable cross sections are determined using the transfer matrix method in several case studies. In order to eliminate numerical difficulties in the transfer matrix method, the Riccati transfer matrix is employed for high rotation speed and high modes. The results are compared with the results of the finite elements method and Rayleigh-Ritz method which show good agreement in spite of low computational cost.

Analysis of Shear Force in Perimeter Column due to Outrigger Wall in a Tall Building (고층 건물의 아웃리거 벽체에 의한 외부 기둥의 전단력 해석)

  • Huang, Yi-Tao;Kim, Han-Soo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.6
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    • pp.293-299
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    • 2018
  • Steel truss outriggers can be replaced by reinforced concrete walls to control the lateral drift of tall buildings. When reinforced concrete outrigger walls are connected to perimeter columns, not only axial forces but also shear forces and moments can be induced on the perimeter columns. In this study, the shear force of the perimeter column due to the rotation of the outer edge of the outrigger wall is derived as analytic equations and the result is compared with the finite element analysis result. In the finite element analysis, the effects of connecting beams at each floor and the effect of modeling shear walls and outriggers with beam element and plane stress element was analyzed. The effect of the connecting beam was almost negligible and the plane stress element was determined to have greater stiffness than the beam element. The inter-story rotation and the shear force of the perimeter column due to the rotation of the outer edge of the outrigger wall was considerably smaller than the allowable value. Therefore, even if the outrigger wall made of reinforced concrete is applied to a tall building, it is considered that there is no need to study the shear force and moment induced in the perimeter columns.

Finite Element Stress Analysis of Implant Prosthesis according to Position and Direction of Load (하중의 위치 및 경사에 따른 임플랜트 보철의 유한요소법적 응력분석)

  • Bae, Sook-Jin;Chung, Chae-Heon;Jeong, Seung-Mi
    • Journal of Dental Rehabilitation and Applied Science
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    • v.19 no.4
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    • pp.257-268
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    • 2003
  • The purpose of this study was to assess the loading distributing characteristics of implant prosthesis according to position and direction of load, under vertical and inclined loading using FEA analysis. The finite element model was designed according to standard fixture (4.1mm restorative component x 11.5mm length). The crown for mandibular first molar was made using UCLA abutment. Each three-dimensional finite element model was created with the physical properties of the implant and surrounding bone. This study simulated loads of 200N at the central fossa in a vertical direction (loading condition A), 200N at the outside point of the central fossa with resin filling into screw hole in a vertical direction (loading condition B), 200N at the centric usp in a $15^{\circ}$ inward oblique direction (loading condition C), 200N at the in a $30^{\circ}$ inward oblique direction (loading condition D) or 200N at the centric cusp in a $30^{\circ}$ outward oblique direction (loading condition E) individually. Von Mises stresses were recorded and compared in the supporting bone, fixture, and abutment screw. The following results have been made based on this study: 1. Stresses were concentrated mainly at the ridge crest around implant in both vertical and oblique loading but stresses in the cancellous bone were low in both vertical and oblique loading. 2. Bending moments resulting from non-axial loading of dental implants caused stress concentrations on cortical bone. The magnitude of the stress was greater with the oblique loading than with the vertical loading. 3. An offset of the vertical occlusal force in the buccolingual direction relative to the implant axis gave rise to increased bending of the implant. 4. The relative positions of the resultant line of force from occlusal contact and the center of rotation seems to be more important. 5. The magnitude of the stress in the supporting bone, fixture and abutment screw was greater with the outward oblique loading than with the inward oblique loading and was the greatest under loading at the centric cusp in a $30^{\circ}$ outward oblique direction. Conclusively, this study provides evidence that bending moments resulting from non-axial loading of dental implants caused stress concentrations on cortical bone. But it seems to be more important that how long is the distance from center of rotation of the implant itself to the resultant line of force from occlusal contact(leverage). The goal of improving implants should be to avoid bending of the implant.

Comparative study of two CAD software programs on consistency between custom abutment design and the output (두 가지 CAD software의 맞춤형 지대주 디자인과 출력물 일치도 비교)

  • Lim, Hyun-Mi;Lee, Kyu-Bok;Lee, Wan-Sun;Son, KeunBaDa
    • Journal of Dental Rehabilitation and Applied Science
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    • v.34 no.3
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    • pp.157-166
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    • 2018
  • Purpose: This study was aimed to compare the consistency between the custom abutment design and the output in two CAD software programs. Materials and Methods: Customized abutments were designed by using 3Shape Dental System CAD software and Delta9 CAD software on a plaster model with implants (CRM STL file). After milling of the designed abutments, the abutments were scanned with a contact method scanner (Test STL file). We overlaid the Test STL file with each CRM STL file by using inspection software, and then compared the milling reproducibility by measuring the output error of the specimens from each CAD software program. Results: The Delta9 showed better milling reproducibility than 3Shape when comparing the milling errors obtained with a full scan of all specimens (P < .05) and also when comparing the axial wall region specifically according to the axial angle. With 0.9 mm marginal radius, the Delta9 showed better consistency between the design and the output than 3Shape (P < .05). While, anti-rotation form had no significant difference in error between the two systems. When cumulative errors were compared, the Delta9 showed better milling reproducibility in almost cases (P < .05). Conclusion: Delta9 showed a significantly smaller error for most of the abutment design options. This means that it is possible to facilitate generation of printouts with reliable reproducibility and high precision with respect to the planned design.

Flame Instability in Heptane Pool Fires Near Extinction (소화근처 헵탄 풀화재의 화염불안정성)

  • Jeong, Tae Hee;Lee, Eui Ju
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.36 no.12
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    • pp.1193-1199
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    • 2012
  • A cup burner experiment was performed to investigate the effect of the oxidizer velocity and concentration on flame instability near extinction. Heptane was used as a fuel and air diluted by nitrogen and carbon dioxide was used in the oxidizer stream. Two types of flame instabilities at the flame base and at axial downstream were observed near extinction. The instability at the flame base could be characterized by cell, swing, and rotation modes, and the cell mode changed to the rotation mode through the swing mode as the oxidizer velocity increased. To assess the parameters for the flame instability, the initial mixture strengths, Lewis number, and adiabatic flame temperature were investigated under each condition. The Lewis number might be the most important among them, but it is impossible to generalize because of the insufficient number of cases. Furthermore, the axial periodic flickering motion disappeared at low and high oxidizer velocities near extinction. This resulted from the fact that low oxidizer velocity induced evaporated fuel velocity below the critical velocity and high velocity made the reacting fuel velocity comparable.

Large Deformational Elasto-Plastic Analysis of Space Frames Considering Finite Rotations and Joint Connection Properties (유한회전과 접합부 특성을 고려한 공간프레임의 대변형 탄소성 해석)

  • Lee, Kyung Soo;Han, Sang Eul
    • Journal of Korean Society of Steel Construction
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    • v.21 no.6
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    • pp.597-608
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    • 2009
  • In this paper, large-deformation elasto-plastic analysis of space frames that considersjoint connection properties is presented. This method is based on the large-deformation formula with finite rotation, which was developed initially for elastic systems, and is extended herein to include the elasto-plastic effect and the member joint connection properties of semi-rigid what?. The analytical method was derived from the Eulerian concept, which takes into consideration the effects of large joint translations and rotations. The localmember force-deformation relationships were obtained from the beam-column approach, and the change caused by the axial strain in the member chord lengths and flexural bowing were taken into account. The effect of the axial force of the member on bending and torsional stiffness, and on the plastic moment capacity, is included in the analysis. The material is assumed to be ideally elasto-plastic, and yielding is considered concentrated at the member ends in the form of plastic hinges. The semi-rigid properties of the member joint connection are considered based on the power or linear model. The arc length method is usedto trace the post-buckling range of the elastic and elasto-plastic problems with the semi-rigid connection. A sample non-linear buckling analysis was carried out with the proposed space frame formulations to demonstrate the potential of the developed method in terms of its accuracy and efficiency.

Immobilization Effect and Abdominal Pressure of Newly-Developed Lumbosacral Spinal Orthosis during Task Performance (새롭게 개발한 요천추 보조기의 과제 수행 중 척추의 고정효과와 복부압력)

  • Jeon, Kyung Soo;Yang, Hee Seung;Jang, Soo Woong;Shin, Hee Dong;Lee, Yun kyung;Lee, Young;Lee, Seul Bin Na;Ahn, Dong Young;Sim, Woo Sob;Cho, Min;Cho, Kyu Jik;Park, Dong Beom;Park, Kwan Soo
    • Clinical Pain
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    • v.19 no.2
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    • pp.70-79
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    • 2020
  • Objective: We evaluated the efficacy of a newly-developed spinal orthoses (V-LSO) by comparing the stabilizing effect, abdominal pressure, and comfort of 3 different semirigid LSOs (classic LSO, V-LSO, and Cybertech®) during various body movements. Method: Thirty healthy volunteers (23~47 years, 24 males, 6 females) were selected. A dual inclinometer measured the range of motion (ROM) while the participants performed flexion/extension and lateral flexion of the lumbar spine with 3 LSOs. The LSO's pressure on the abdominal surface was measured using 9 pressure sensors while lying, sitting, standing, flexion/extension, lateral flexion, axial rotation, and lifting a box. Comfort and subjective immobilization were analyzed by a questionnaire. Results: V-LSO had a statistically significant effect on flexion over Cybertech®. No significant differences were noted during extension and lateral flexion between the 3 LSOs. The abdominal pressure showed no significant differences while supine. While sitting, standing, and lifting a box, the mean abdominal pressure for V-LSO were significantly higher than those for Cybertech®. During lumbar flexion, the mean abdominal pressures for classic LSO and V-LSO were significantly higher than that of Cybertech®. For extension, lateral flexion and axial rotation, the abdominal pressure for V-LSO was significantly higher than those of classic LSO and Cybertech®. In the subjective analysis, V-LSO and Cybertech® scored best for comfort. Conclusion: The V-LSO and Cybertech® were more comfortable than the classic LSO, and hence, may have improved compliance with decreased discomfort. V-LSO may be superior to the other LSOs in restricting lumbar movement and increasing intraabdominal pressure.

MAGNETIC HELICITY PUMPING BY TWISTED FLUX TUBE EXPANSION

  • CHAE JONGCHUL;MOON Y.-J.;RUST D. M.;WANG HAIMIN;GOODE PHILIP R.
    • Journal of The Korean Astronomical Society
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    • v.36 no.1
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    • pp.33-41
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    • 2003
  • Recent observations have shown that coronal magnetic fields in the northern (southern) hemisphere tend to have negative (positive) magnetic helicity. There has been controversy as to whether this hemispheric pattern is of surface or sub-surface origin. A number of studies have focused on clarifying the effect of the surface differential rotation on the change of magnetic helicity in the corona. Meanwhile, recent observational studies reported the existence of transient shear flows in active regions that can feed magnetic helicity to the corona at a much higher rate than the differential rotation does. Here we propose that such transient shear flows may be driven by the torque produced by either the axial or radial expansion of the coronal segment of a twisted flux tube that is rooted deeply below the surface. We have derived a simple relation between the coronal expansion parameter and the amount of helicity transferred via shear flows. To demonstrate our proposition, we have inspected Yohkoh soft X-ray images of NOAA 8668 in which strong shear flows were observed. As a result, we found that the expansion of magnetic fields really took place in the corona while transient shear flows were observed in the photosphere, and the amount of magnetic helicity change due to the transient shear flows is quantitatively consistent with the observed expansion of coronal magnetic fields. The transient shear flows hence may be understood as an observable manifestation of the pumping of magnetic helicity out of the interior portions of the field lines driven by the expansion of coronal parts as was originally proposed by Parker (1974).

Kinematic Analysis of Thoraco-Lumbar Spine in Bad Postures During Daily Life (일상 생활 중의 나쁜 자세에 따른 흉·요추 관절의 기구학 해석)

  • Han, Ah-Reum;Jeong, Ji-In;Feng, Jun;Kim, Yoon-Hyuk
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.36 no.11
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    • pp.1105-1110
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    • 2012
  • The spine is one of the most important skeletal joints, and it strongly affects the health of the musculoskeletal system. A normal spine has an S-shape, and it is very important to maintain this shape. Recently, spinal diseases such as low back pain have increased rapidly, especially among the elderly. Some of these diseases are caused by congenital spinal disorders and sporting and accident injuries as well as by bad postures. Improper spinal postures could generate excessive disc pressure, which is related to degeneration and pain. Therefore, in this study, we investigated the three-dimensional kinematic parameters of the thoraco-lumbar joint in several bad postures using a motion capture analysis technique. Different bad postures created a significant amount of flexion/extension, side bending, and axial rotation angle compared with neutral postures. Further study is necessary to investigate the disc pressure and ligament force due to the increase in joint rotation from the bad postures.

Bending Behavior of the Mooring Chain Links Subjected to High Tensile Forces (강한 인장 상태에서의 계류 체인 링크의 휨 거동)

  • Kim, Seungjun;Won, Deok-Hee
    • Journal of Korean Society of Steel Construction
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    • v.29 no.2
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    • pp.99-110
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    • 2017
  • This paper presents the study of the bending behavior of mooring chain links for keeping the position of the offshore floating structures. In general, chain links have been thought as the axial members due to the fundamental boundary condition. But, the flexural stiffness can be induced to the contact surface between chain links when friction occurs at the surface of the chain links due to high tensile force. Especially, the mooring chains for offshore floating platforms are highly tensioned. If the floater suffers rotational motion and the mooring chain links are highly tensioned, the rotation between contact links, induced by the floater rotation, generates the bending moment and relevant stresses due to the unexpected bending stiffness. In 2005, the mooring chain links for the Girassol Buoy Platform were failed after just 5 months after facility installation, and the accident investigation research concluded the chain failure was mainly caused by the fatigue due to the unexpected bending stress fluctuation. This study investigates the pattern of the induced bending stiffness and stresses of the highly tensioned chain links by nonlinear finite element analysis.