• Title/Summary/Keyword: limits of stability

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A modeling of dynamic cutting force and analysis of stability in chatter vibration (채터진동에서의 동적 절삭력의 모델링과 안정성 해석)

  • Kim, Jeong-Suk;Kang, Myeong-Chang
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.2
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    • pp.161-169
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    • 1993
  • The elimination of chatter vibration is necessary to improve the precision and the productivity of the cutting operation. A new mathematical model of chatter vibration is presented in order to predict the dynamic cutting force from the static cutting data. The dynamic cutting force is analytically expressed by the static cutting coefficient and the dynamic cutting coefficient which can be determined from the cutting mechanics. The stability analysis is carried out by a two degree of freedom system. The chatter experiments are conducted by exciting the cutting tool with an impact hammer during an orthogonal cutting. A good agreement is shown between the stability limits predicted by theory and the critical width of cut determined by experiments.

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On the Hyers-Ulam Stability of Polynomial Equations in Dislocated Quasi-metric Spaces

  • Liu, Yishi;Li, Yongjin
    • Kyungpook Mathematical Journal
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    • v.60 no.4
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    • pp.767-779
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    • 2020
  • This paper primarily discusses and proves the Hyers-Ulam stability of three types of polynomial equations: xn+a1x+a0 = 0, anxn+⋯+a1x+a0 = 0, and the infinite series equation: ${\sum\limits_{i=0}^{\infty}}\;a_ix^i=0$, in dislocated quasi-metric spaces under certain conditions by constructing contraction mappings and using fixed-point methods. We present an example to illustrate that the Hyers-Ulam stability of polynomial equations in dislocated quasi-metric spaces do not work when the constant term is not equal to zero.

Lateral torsional buckling of doubly-symmetric steel cellular I-Beams

  • Mehmet Fethi Ertenli;Erdal Erdal;Alper Buyukkaragoz;Ilker Kalkan;Ceyhun Aksoylu;Yasin Onuralp Ozkilic
    • Steel and Composite Structures
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    • v.46 no.5
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    • pp.709-718
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    • 2023
  • The absence of an important portion of the web plate in steel beams with multiple circular perforations, cellular beams, causes the web plate to undergo distortions prior to and during lateral torsional buckling (LTB). The conventional LTB equations in the codes and literature underestimate the buckling moments of cellular beams due to web distortions. The present study is an attempt to develop analytical methods for estimating the elastic buckling moments of cellular beams. The proposed methods rely on the reductions in the torsional and warping rigidities of the beams due to web distortions and the reductions in the weak-axis bending and torsional rigidities due to the presence of web openings. To test the accuracy of the analytical estimates from proposed solutions, a total of 114 finite element analyses were conducted for six different standard IPEO sections and varying unbraced lengths within the elastic limits. These analyses clearly indicated that the LTB solutions in the AISC 360-16 and AS4100:2020 codes overestimate the buckling loads of cellular beams within elastic limits, particularly at shorter span lengths. The LDB solutions in the literature and the Eurocode 3 LTB solution, on the other hand, provided conservative buckling moment estimates along the entire range of elastic buckling.

Effects of Virtual Reality Program on Standing Balance in Chronic Stroke Patients (가상현실 프로그램이 만성 뇌졸중 환자의 선자세 균형에 미치는 영향)

  • Kim, Joong-Hwi;Kim, Chung-Sun
    • The Journal of Korean Physical Therapy
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    • v.17 no.3
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    • pp.351-367
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    • 2005
  • The purpose of this study was to identity effects of virtual reality(VR) program related to standing postural control on balance, gait and brain activation patterns in chronic hemiplegic stroke patients. Subjects were assigned randomly to either VR group (n=12) or the control group (n=12) when the study began. Both groups received conventional physical therapy for 2 to 3 times per week. In addition to conventional physical therapies, VR group trained 3 types of virtual reality programs using IREX for standing postural control during 4 weeks (4 times/week, 30 minutes/time). Subjects were assessed for static and dynamic balance parameters using BPM, functional balance using Berg Balance Scale related to movement of paretic lower limb before and after 4 weeks of virtual reality training. The results of this study were as follows. 1. Following VR training, VR group demonstrated the marked improvement on dynamic mean balance, anteroposterior limits of stability (AP angle) and mediolateral limits of stability (ML angle). 2. Following VR training, both groups scored higher on Berg Balance Scale. However, a comparison of mean change revealed differences between groups. In conclusion, these data suggest that the postural control training using VR programs improve dynamic and functional balance performance in chronic hemiplegic stroke patients.

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The Immediate Effects of Posterior Pelvic Tilt with Taping on Pelvic Inclination, Gait Function and Balance in Chronic Stroke Patients

  • Wu, Yang-Ting;Choe, Yu-Won;Peng, Cheng;Kim, Myoung-Kwon
    • Journal of the Korean Society of Physical Medicine
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    • v.12 no.3
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    • pp.11-21
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    • 2017
  • PURPOSE: The purpose of this study is to identify the immediate effect of posterior pelvic tilt taping on anterior pelvic inclination, gait function, and balance in chronic stroke patients. METHODS: Fourteen chronic stroke subjects were enrolled in this study. Subjects who consented to participate in this cross-over experiment were assigned three interventions: posterior pelvic tilt taping, placebo taping, and no taping, in random order. After tape application, subjects were asked to complete: 1) Anterior pelvic tilt measurement, 2) 10-Meter Walk test, and 3) Limits of stability (LOS) test. To eliminate the learning effect of the tape after tearing off the tape, a 10 minute break was given between posterior pelvic tilt taping intervention and placebo taping intervention. RESULTS: Significant decreases were observed for the anterior pelvic inclination on both sides after posterior pelvic tilt taping application compared with placebo taping and no taping application (p<.05). Post hoc test results differed significantly in the 10-meter walk test after intervention (p<.05). However, there were no significant differences in limits of stability test after intervention (p>.05). CONCLUSION: Posterior pelvic tilt taping in chronic stroke patients decreases the inappropriate anterior pelvic inclination immediately and improves gait function, but it has little effect on balance.

Basic Analysis for Improvement of Mooring Stability Under Long Wave Impact

  • Ha, Chang-Sik;Moon, Seung-Hyo;Lee, Joong-Woo
    • Journal of Navigation and Port Research
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    • v.41 no.5
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    • pp.329-336
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    • 2017
  • This study suggests a general process of analyzing the mooring and cargo handling limit waves, which is an incident to the new energy port under long wave agitation. To reduce damages of ships and harbor structures due to strong wave responses, it is necessary to predict the change of wave field in the mooring berth to make the proper decision by dock master. The berthing area at a new LNG port in the east coast of Korea in this study is frequently affected by oscillations from waves of 8.5~13s periods in the wintertime. The long period waves give difficulties on port operation by lowering the annual berthing ratio. It needs to find the event waves from the real time offshore wave records, which cause over the mooring limits. For that purpose, the wave records from field measurement and offshore wave buoy were analyzed. From numerical simulation, the response characteristics of long period waves in the berthing area were deduced with or without breakwater expansion plan, analyzing the offshore field wave data collected for two years. Some event wave cases caused over the cargo handling and mooring limits as per the standard Korean port design guideline, and those were used for the decision of port operation by dock master, comparing with the real time offshore wave observations.

Effects of Ankle and Hip Strategy Training on Improving the Center of Pressure Movements and Limits of Stability in Stroke Patients

  • Park, Shinjun;Park, Sunghyun;Kim, Yongyoun
    • Journal of International Academy of Physical Therapy Research
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    • v.10 no.3
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    • pp.1823-1829
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    • 2019
  • Background: Stroke patients have leg muscle weakness and impaired balance resulting in compensatory changes. To restore balance in these patients, functional training using postural strategy is needed. Objective: To examine the effects of ankle and hip strategy training on the center of pressure (COP) movement and limits of stability (LOS) in standing posture in stroke patients. Design: The study was an assessor-blinded and randomized-controlled clinical trial. Methods: Thirty patients were randomly assigned to an ankle strategy training group and a ankle/ hip strategy training group. Patients in the ankle strategy training group underwent ankle strategy exercise for 30 min, and those in the ankle/ hip strategy training group underwent 15 min of ankle strategy exercise and 15 min of hip strategy exercise. Both groups underwent training thrice a week for four weeks. Forward, backward, paretic side, and non-paretic side COP movements and LOS were measured using BioRescue. Results: After the intervention, except for the backward area in the ankle strategy training group, the COP movement area and the LOS were significantly improved in both the groups. In addition, these improvements were significantly higher in ankle/ hip strategy training group than that in the ankle strategy training group. Conclusions: Ankle strategy training in addition to hip strategy training improves COP movement (forward-backward, paretic side area, and non-paretic side area) and LOS in stroke patients.

MO Theoretical Studies on 1,5-Sigmatropic Hydrogen Shifts in Systems with Terminal Heteroatoms, O and S (말단 헤테로원자가 산소(O)와 황(S)인계의 1,5-수소원자 이동반응에 관한 MO 이론적 연구)

  • Ho Soon Kim;Ikchoon Lee
    • Journal of the Korean Chemical Society
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    • v.30 no.2
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    • pp.195-200
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    • 1986
  • MO studies have been carried out on 1,5-hydrogen shifts between tautomeric forms (6${\pi}$ system) of ${\beta}$-diketones, ${\beta}$-thioxoketones and ${\beta}$-dithioketones by determining transition state and analyzing structural stability effects on the activation barriers using MNDO method. The barrier was found to increase with the stability of the ground state having greater charge separation and with the increase (less stabilization) in the one electron energy ${\Delta}(2\sum\limits^{occ}{\varepsilon}i)^{\neq}$ in the activation process.

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A Study on the Hydrostatic Mooring Stability of Submerged Floating Ellipsoidal Habitats

  • Pak, Sang-Wook;Lee, Han-Seok;Park, Jin
    • Journal of Navigation and Port Research
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    • v.43 no.5
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    • pp.328-334
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    • 2019
  • Underwater architecture in providing a comfortable living space underwater is mandated to survive prevailing environmental loads, especially hydrostatic ambient water pressure exerted on the structure of individual habitat hulls at depth and hydrodynamic fluctuation of external forces that perturb the postural equilibrium and mooring stability of the underwater housing system, for which the design including the hull shape and mooring system constraint the responses. In this study, the postural stability of a proposed underwater floating housing system with three vertically connected ellipsoidal-shape habitat hulls of different sizes are theorized and calculated for hydrostatic stability, using MATLAB in the volumetric integration of a hull and the weight of operational loads under assumed scenarios. The assumptions made in the numerical method to estimate the stability of the habitat system include the fixed weight of the hulls, and their adjustable loads within operational limits for the set meteorological oceanic conditions. The purpose of this study was to numerically manipulate a) The buoyancy and b) The adjusted center of mass of the system within the range of designed external and internal load changes, by which the effective mooring system capability and postural equilibrium requirements were argued with the quantitative analysis.