• Title/Summary/Keyword: Torsional Position

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Analytical Solutions for the Inelastic Lateral-Torsional Buckling of I-Beams Under Pure Bending via Plate-Beam Theory

  • Zhang, Wenfu;Gardner, Leroy;Wadee, M. Ahmer;Zhang, Minghao
    • International journal of steel structures
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    • v.18 no.4
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    • pp.1440-1463
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    • 2018
  • The Wagner coefficient is a key parameter used to describe the inelastic lateral-torsional buckling (LTB) behaviour of the I-beam, since even for a doubly-symmetric I-section with residual stress, it becomes a monosymmetric I-section due to the characteristics of the non-symmetrical distribution of plastic regions. However, so far no theoretical derivation on the energy equation and Wagner's coefficient have been presented due to the limitation of Vlasov's buckling theory. In order to simplify the nonlinear analysis and calculation, this paper presents a simplified mechanical model and an analytical solution for doubly-symmetric I-beams under pure bending, in which residual stresses and yielding are taken into account. According to the plate-beam theory proposed by the lead author, the energy equation for the inelastic LTB of an I-beam is derived in detail, using only the Euler-Bernoulli beam model and the Kirchhoff-plate model. In this derivation, the concept of the instantaneous shear centre is used and its position can be determined naturally by the condition that the coefficient of the cross-term in the strain energy should be zero; formulae for both the critical moment and the corresponding critical beam length are proposed based upon the analytical buckling equation. An analytical formula of the Wagner coefficient is obtained and the validity of Wagner hypothesis is reconfirmed. Finally, the accuracy of the analytical solution is verified by a FEM solution based upon a bi-modulus model of I-beams. It is found that the critical moments given by the analytical solution almost is identical to those given by Trahair's formulae, and hence the analytical solution can be used as a benchmark to verify the results obtained by other numerical algorithms for inelastic LTB behaviour.

A Study of the Shaft Power Measuring System Using Cameras (카메라를 이용한 축계 비틀림 계측 장치 개발)

  • Jeong, Jeong-Soon;Kim, Young-Bok;Choi, Myung-Soo
    • Journal of Ocean Engineering and Technology
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    • v.24 no.4
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    • pp.72-77
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    • 2010
  • This paper presents a method for measuring the shaft power of a marine main engine. Usually, in traditional systems for measuring shaft power, a strain gauge is used even though it has several disadvantages. First, it is difficult to set up the strain gauge on the shaft and acquire the correct signal for analysis. Second, it is very expensive and complicated. For these reasons, we investigated alternative approaches for measuring shaft power and proposed a new method that uses a vision-based measurement system. For this study, templates for image processing and CCD cameras were installed at the both ends of the shaft. Then, in order for the cameras to capture the images synchronously, we used a trigger mark and a optical sensor. The position of each template between the first and the second camera images were compared to calculate the torsion angle. The proposed measurement system can be installed more easily than traditional measurement systems and is suitable for any shaft because it does not contact the shaft. With this approach, it is possible to measure the shaft power while a ship is operating.

Sludge Detection Inside Pipes Using Torsional Guided Waves (비틀림 유도파를 이용한 배관 내부 슬러지검출)

  • Park, Kyung-Jo;Kim, Chung-Yup
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.3
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    • pp.282-290
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    • 2013
  • A new method is presented that uses guided wave techniques for sludge and blockages detection in long-range pipelines. Existing techniques have the limitations that the sludge position needs to be known a priori and the area to be inspected needs to be accessible. Two guided wave techniques have been developed which allow the sludge or blockages to be detected remotely without the need to access the specific location where the pipe is blocked, nor to open the pipe. The first technique measures the reflection of guided waves by sludge which can be used to accurately locate the blocked region; the second technique detects sludge by revealing the changes to the transmitted guided waves propagating in the blocked region or after it. The two techniques complement each other and their combination leads to a reliable sludge or blockage detection. Various types of realistic sludge have been considered in the study and the practical capabilities of the two techniques have been demonstrated.

Optimal Parameter Tuning to Compensate for Radius Errors (반경오차 보정을 위한 최적파라미터 튜닝)

  • 김민석
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.04a
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    • pp.629-634
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    • 2000
  • Generally, the accuracy of motion control systems is strongly influenced by both the mechanical characteristics and servo characteristics of feed drive systems. In the fed drive systems of machine tools that consist of mechanical parts and electrical parts, a torsional vibration is often generated because of its elastic elements in torque transmission. Especially, a torsional vibration caused by the elasticity of mechanical elements might deteriorate the quick movement of system and lead to shorten the life time of the mechanical transmission elements. So it is necessary to analyze the electromechanical system mathematically to optimize the dynamic characteristics of the feed drive system. In this paper, based on the simplifies feed drive system model, radius errors due to position gain mismatch and servo response characteristic have been developed and an optimal criterion for tuning the gain of speed controller is discussed. The proportional and integral parameter gain of the feed drive controller are optimal design variables for the gain tuning of PI speed controller. Through the optimization problem formulation, both proportional and integral parameter are optimally tuned so as to compensate the radius errors by using the genetic algorithm. As a result, higher performance on circular profile tests has been achieved than the one with standard parameters.

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Biceps Load Test: A Test of SLAP lesion in the Recurrent Anterior Dislocation of the Shoulder (이두건 부하 검사(Biceps Load Test): 견관절 재발성 전방 탈구시 SLAP 병변 진단의 새로운 검사방법)

  • Kim Seung-Ho;Ha Kwon-Ick;Han Kye-Young
    • Clinics in Shoulder and Elbow
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    • v.1 no.1
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    • pp.78-82
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    • 1998
  • The following will describe a method of evaluating the SLAP lesion in the recurrent anterior dislocation of the shoulder. We have named it the biceps load test. The biceps load test is performed with the patient in the supine position and the arm to be examined is abducted 90/sup°/, and the forearm is in the supinated position. First, the anterior apprehension test is performed. When the patient become apprehensive, the patient is allowed active flexion of the elbow, while the examiner resists elbow flexion. If the apprehension is relieved or diminished, the test is negative. If aggravated or unchanged, the test is positive. A prospective study was performed, in which 75 patients who were diagnosed as having recurrent unilateral anterior instability of the shoulder underwent the biceps load test and arthroscopic examination. The biceps load test showed negative results in 64 of these patients, of which the superior labral-biceps complex was intact'in 63 cases and only I shoulder revealed a type n SLAP lesion. E]even patients with a positive test were confirmed to have type n SLAP lesions. A positive biceps load test represents an unstable SLAP lesion in a patient with recurrent anterior dislocation of the shoulder. The biceps load test is a reliable test for evaluating the SLAP lesion in the recurrent anterior dislocation of the shoulder(sensitivity: ,9] .7%, specificity: 100%, positive predictive value: 1.00 and negative predictive value: 0.98). Biceps contraction increases the torsional rigidity ?of the glenohumeral joint and long head of biceps tendan act as internal rotator of the shoulder in the abducted and externally rotated position. These stabilize the shoulder in abduction and external rotation position in the biceps load test.

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A Study on the Structural Safety of Tower Crane Telescoping Work according to Wind Speed and Load (타워크레인 텔레스코핑 작업의 풍속 및 하중에 대한 구조 안전성 연구)

  • Jung, Sung-Lyoung;Lee, Do-Geun;Paik, Shinwon;Shin, Sang-Yeon
    • Journal of the Korean Society of Safety
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    • v.36 no.1
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    • pp.9-17
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    • 2021
  • This study analyses the load imbalance of the tower crane used in telescoping work for structural safety, owing to the difference in wind speed and balance weight position. This is because wind speed and position of the balance weight have a significant impact on the structural stresses of a tower crane during telescoping work. Therefore, structural analysis was performed on the 290HC model, which is often used at construction sites and has only one cylinder installed. Moreover, two models were classified to determine the load acting on the connecting part of the telescopic cage to slewing platform and the cylinder. Five types of balance weight positions were applied at regular intervals from jibs; moreover, four types of wind load criteria were differently applied. Hence, the telescopic cage columns were destroyed at all balance weight positions at a wind speed of 30 m/s and only at certain locations at a wind speed of 20 m/s. Furthermore, failures occurred for cylinders, torsional, and bending at wind speeds of 30 m/s and 20 m/s, load imbalances above the allowable thresholds considering the safety factor. In addition, the load imbalance in the telescoping work also varied depending on the position of the balance weights. The results of these studies have validated that the current standards of adjusting the appropriate position of the balance weights on the jib are completely valid, with the telescoping work to be executed only at wind speeds of less than equal to 10 m/s.

Instantaneous Speed Variation of Crankshaft on a Low Speed Marine Diesel Engine (저속박용디젤기관의 순간회전속도 변동에 관한 연구)

  • Choi, Jae-Sung;Lee, Jin-Uk;Lee, Sang-Dug;Cho, Kwon-Hae
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.2
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    • pp.138-144
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    • 2007
  • The variation of the crankshaft speed in a multi-cylinder engine is determined by the resultant gas pressure torque and the torsional deformation of the crankshaft. Under steady state operation, the crankshaft speed has a quasi-periodic variation. For the diagnosis the engine instantaneous speed versus crankshaft angle is utilized. This paper describes a simple measurement method of the engine instantaneous speed versus crankshaft angle using the teeth on the flywheel of the crankshaft. Two non-contacting magnetic pickup combinations detect the crank angle and TDC position for the data acquisition. The results from experiments on a 6 cylinder marine diesel engine demonstrate that the crankshaft speed variation are detected with good resolution. And the crankshaft speed variation is investigated according to the operation conditions. Also, it is confirmed that the engine output measured by EMS can be evaluated larger than the actual value due to TDC position error caused by instantaneous speed variation.

Kinematic Calibration Method for Redundantly Actuated Parallel Mechanisms (여유구동 병렬기구의 기구학적 보정)

  • 정재일;김종원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.355-360
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    • 2002
  • To calibrate a non-redundantly actuated parallel mechanism, one can find actual kinematic parameters by means of geometrical constraint of the mechanism's kinematic structure and measurement values. However, the calibration algorithm for a non-redundant case does not apply fur a redundantly actuated parallel mechanism, because the angle error of the actuating joint varies with position and the geometrical constraint fails to be consistent. Such change of joint angle error comes from constraint torque variation with each kinematic pose (meaning position and orientation). To calibrate a redundant parallel mechanism, one therefore has to consider constraint torque equilibrium and the relationship of constraint torque to torsional deflection, in addition to geometric constraint. In this paper, we develop the calibration algorithm fir a redundantly actuated parallel mechanism using these three relationships, and formulate cost functions for an optimization algorithm. As a case study, we executed the calibration of a 2-DOF parallel mechanism using the developed algorithm. Coordinate values of tool plate were measured using a laser ball bar and the actual kinematic parameters were identified with a new cost function of the optimization algorithm. Experimental results showed that the accuracy of the tool plate improved by 82% after kinematic calibration in a redundant actuation case.

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Dynamic Response Analysis of Twisted High-Rise Structures according to the Core Location Change (코어 위치 변화에 따른 비틀림 초고층 구조물의 동적응답분석)

  • Chae, Young-Won;Kim, Hyun-Su;Kang, Joo-Won
    • Journal of Korean Association for Spatial Structures
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    • v.22 no.1
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    • pp.17-24
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    • 2022
  • Currently, the construction trend of high-rise structures is changing from a cube-shaped box to a free-form. In the case of free-form structures, it is difficult to predict the behavior of the structure because it induces torsional deformation due to inclined columns and the eccentricity of the structure by the horizontal load. For this reason, it is essential to review the stability by considering the design variables at the design stage. In this paper, the position of the weak vertical member was analyzed by analyzing the behavior of the structure according to the change in the core position of the twisted high-rise structures. In the case of the shear wall, the shear force was found to be high in the order of proximity to the center of gravity of each floor of the structure. In the case of the column, the component force was generated by the axial force of the outermost beam, so the bending moment was concentrated on the inner column with no inclination.

Design and fabrication of a single crystalline silicon micromirror array for biochip fabrication systems (바이오칩 제작 장치용 단결정 실리콘 마이크로 미러 어레이의 설계와 제작)

  • Jang, Yun-Ho;Lee, Kook-Nyung;Kim, Yong-Kweon
    • Proceedings of the KIEE Conference
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    • 2003.10a
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    • pp.49-52
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    • 2003
  • Single crystalline silicon (SCS) was adopted for a reliable micromirror array of biochip fabrication applications. SCS has excellent mechanical properties and smooth surface, which is the best material for micromirror devices. The mirror array has $16{\times}16$ micromirrors and each mirror has a $120{\mu}m{\times}100{\mu}m$ reflective surface. The micromirror has simple torsional beam springs and electrostatic force was used for driving. The designed tilting angle was $9.6^{\circ}$, and the tilting angles were measured according to applied voltages. The surface roughness was measured by a laser profiler. The response time was measured using He-Ne laser and position sensitive diode (PSD), and the lifetime was checked for reliability proof.

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