• 제목/요약/키워드: Instability Motion

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Instability phenomena and their control in statics and dynamics: Application to deep and shallow truss and frame structures

  • Mejia-Nava, Rosa Adela;Ibrahimbegovic, Adnan;Lozano-Leal, Rogelio
    • Coupled systems mechanics
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    • v.9 no.1
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    • pp.47-62
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    • 2020
  • In this paper we study the control for nonlinear geometric instability problem of a deep or a shallow truss or yet a frame structure. All the structural models are built with geometrically exact truss and beam finite elements.The proposed models can successfully handle large overall motion under static or dynamic conservative load.The control strategy considers adding a damping from either friction device or viscous damper.This kind of control belong to well-known concept of passivity. Different examples are presented in order to illustrate the proposed theoretical developments.

An Analysis of Coupled Oil-lubricated Groove Journal and Thrust Bearings for Spindle Motor (빗살무늬 저널베어링과 스러스트 베어링으로 이루어진 오일윤활 스핀들 모터 베어링 해석)

  • 오상만;임윤철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2000.11a
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    • pp.235-242
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    • 2000
  • In this paper, the dynamic characteristics of coupled herringbone groove journal bearings and spiral groove thrust bearings with conical motion were numerically analyzed, The bearing performance characteristics were calculated by the perturbation method and are solved by FDM. Stability of bearing was obtained from the threshold of instability.

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Bankart Suture Repair for Anterior Instability of the Shoulder- Results of Arthroscopic versus Open Repair - (견관절 전방 재발성 탈구의 치료-관절경 및 관혈적 Bankart병변 수복술의 비교 -)

  • Choi, Chang-Hyuk;Kwun, Koing-Woo;Kim, Shin-Kun;Lee, Sang-Wook;Shin, Dong-Kyu;Kim, Kyung-Min
    • Clinics in Shoulder and Elbow
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    • v.5 no.1
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    • pp.47-54
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    • 2002
  • Purpose : We evaluated clinical result of arthroscopic and open Bankart repair in anterior shoulder instability to identify factors iuluencing operative result and prognosis. Materials & Methods . We reviewed 24 patients of anterior shoulder instability treated with arthroscopic Bankart repair in 16 cases and open Bankart repair in 8 cases. Average age was 26 years old and involved in dominant arm in 15 cases. Patients were suffered instability for 3.1 years before operation and mean follow-up was 2 year 9 months ( 1 you 9 months -4year 10 months). Results : Post operative pain was subsided in 2 weeks in arthroscopic surgery and 3 weeks in open surgery. The final range of motion after arthroscopic repair were flekion in 168" , external rotation in 54" , and internal rotation in 79, and after open repair 168" ,49" , and 78 respectively. In arthroscopic surgery,2 cases (13%) were redislocated, and 4 cases(25%) showed mild instability. In open case,1 case (11%) showed mild instability. According to function- al result by Rowe grading scale, satisfactory results were 12case (76%) in arthroscopic repair and 7 cases (88%) in open cases. Conclusions Both arthroscopic or open Bankart could get good results in the treatment of anterior instability of shoulder. In arthroscopic repair, perioperative morbidity was lower than open repair, but it needs careful rehabilitation program to prevent redislocation and to return to sports activity.

Dynamic Buckling Characteristics of Arch Structures by Running Response Spectrum (연속 응답 스펙트럼 분석에 의한 아치 구조물의 동적 좌굴 특성)

  • Kim, Seung-Deog;Yun, Tae-Young
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.2 s.12
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    • pp.81-88
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    • 2004
  • The dynamic instability of snapping phenomena has been studied by many researchers. Few papers deal with dynamic buckling under loads with periodic characteristics, and the behavior under periodic excitations is expected to be different from behavior under STEP excitations. We investigate the fundamental mechanisms of the dynamic instability when the sinusoidally shaped arch structures are subjected to sinusoidally distributed excitations with pin-ends. The mechanisms of dynamic indirect snapping of shallow arches are especially investigated under not only STEP function excitations but also under sinusoidal harmonic excitations, applied i the up-and-down direction. The dynamic nonlinear responses are obtained by the numerical integration of the geometrically nonlinear equation of motion. And using this analyze characteristics of the dynamic instability through the running response spectrum by FFT(Fast Fourier Transform).

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Vibration and instability analysis of pipes reinforced by SiO2 nanoparticles considering agglomeration effects

  • Golabchi, Hadi;Kolahchi, Reza;Bidgoli, Mahmood Rabani
    • Computers and Concrete
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    • v.21 no.4
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    • pp.431-440
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    • 2018
  • Fluid velocity analysis on the instability of pipes reinforced by silica nanoparticles ($SiO_2$) is presented in this paper. Mori-Tanaka model is used for obtaining the effective materials properties of the nanocomposite structure considering agglomeration effects. The well known Navier-Stokes equation is used for obtaining the applied force of fluid to pipe. Based on the Reddy higher-order shear deformation theory, the motion equations are derived based on energy method and Hamilton's principal. The frequency and critical fluid velocity of structure are calculated using differential quadrature method (DQM) so that the effects of different parameters such as volume fractions of SiO2 nanoparticles, SiO2 nanoparticles agglomeration, boundary conditions and geometrical parameters of pipes are considered on the nonlinear vibration and instability of the pipe. Results indicate that increasing the volume fractions of SiO2 nanoparticles, the frequency and critical fluid velocity of the structure are increased. Furthermore, considering SiO2 nanoparticles agglomeration, decreases the frequency and critical fluid velocity of the pipe.

Dynamic Instability of Elastically Restrained Beams under Distributed Tangential Forces (분포접선력을 받는 탄성지지된 보의 동적 불안정)

  • 류봉조;김인우;이규섭;임경빈;최봉문
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.10
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    • pp.140-147
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    • 1998
  • The dynamic behavior of elastically restrained beams under the action of distributed tangential forces is investigated in this paper. The beam, which is fixed at one end, is assumed to rest on an intermediate spring support. The governing equations of motion are derived from the energy expressions, and the finite element formulation is employed to calculate the critical distributed tangential force. Jump phenomena for the critical distributed tangential force and instability types are presented for various spring stiffnesses and support positions. Stability maps are generated by performing parametric studies to show how the distributed tangential forces affect the frequencies and the stability of the system considered. Through the numerical simulations, the following conclusioils are obtained: (i) Only flutter type instability exists for the dimensionless spring stiffness K $\leq$ 97, regardless of the position of the spring support. (ii) For the dimensionless spring stiffness K $\leq$ 98, the transition from flutter to divergence occurs at a certain position of the spring support, and the transition position moves from the free end to the free end of the beam as the spring stiffness increases. (iii) For K $\leq$ 10$^{6}$ the support condition can be regarded as a rigid support condition.

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The Relationship between Functional Movement Screen and Ankle Dysfunctions with Chronic Ankle Instability

  • Choi, Ho-Suk;Shin, Won-Seob;Shim, Jae-Kwang;Choi, Sung-Jin;Bang, Dae-Hyouk
    • The Journal of Korean Physical Therapy
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    • v.26 no.6
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    • pp.459-463
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    • 2014
  • Purpose: The purpose of this study was to investigate the correlations between functional movement screen (FMS) and ankle dysfunctions in subjects with chronic ankle instability (CAI). Methods: This study was a cross-sectional study of 20 participants with CAI. The ankle dorsiflexion range of motion (ROM), Foot and Ankle Disability Index (FADI), center of pressure (COP) path length, and COP velocity for ankle dysfunction were measured in all the subjects. All the subjects underwent the FMS concerned with ankle functions consisted of deep squats, hurdle steps and in-line lunges. The Spearman rank-order correlation coefficient was used to determine relationship between the ankle ROM, FADI, COP and FMS. Results: The results of the deep squat and in-line lunge exercises revealed a significant correlation with the ankle dorsiflexion ROM, FADI, COP path length, and COP velocity. The hurdle step showed no correlation with the ankle dorsiflexion ROM and FADI but a significant relationship with the COP path length and COP velocity. Conclusion: The results of this study showed that relationship deep squat and in-line lunge and it is suggested that an assessment tool using ankle dorsiflexion ROM and ankle instability would be clinically effective.

Indications of Lateral Ankle Ligament Reconstruction with a Free Tendon and Associated Evidence (유리건을 이용한 족관절 외측 인대 재건술의 적응증과 근거)

  • Kang, Hwa-Jun;Jung, Hong-Geun
    • Journal of Korean Foot and Ankle Society
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    • v.22 no.3
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    • pp.91-94
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    • 2018
  • Ankle sprain is one of the most common musculoskeletal injuries. Although most ankle sprains respond well to conservative measures, chronic instability following an acute sprain has been reported to occur in 20% to 40% of patients. Some individuals are eventually indicated for a lateral ankle ligament reconstruction due to persistent ankle instability. More than 80 surgical procedures have been described to address lateral ankle stability. These range from direct repair of the anterior talofibular ligament (ATFL) and of the calcaneofibular ligament (CFL) to reconstructions based on the use of autograft or allograft tissues. However, the best surgical option remains debatable. The modified $Brostr{\ddot{o}}m$ procedure is most widely used for direct ligament repair, but not always possible because of the poor ATFL or CFL quality or deficiency of these ligaments, which prevents effective shortening imbrication. Furthermore, the importance of a CFL reconstruction has been emphasized recently. On the other hand, it is difficult to achieve an efficient CFL reconstruction during the $Brostr{\ddot{o}}m$ procedure. Others have reported that an anatomic reconstruction of injured ligaments restores the normal resistance to anterior translation and inversion without restricting subtalar or ankle motion, and as a result, anatomic reconstructions for lateral ankle instability utilizing an autograft or allograft tendon have gained popularity.

Stability/instability of the graphene reinforced nano-sized shell employing modified couple stress model

  • Yao, Zhigang;Xie, Hui;Wang, Yulei
    • Wind and Structures
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    • v.32 no.1
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    • pp.31-46
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    • 2021
  • The current research deals with, stability/instability and cylindrical composite nano-scaled shell's resonance frequency filled by graphene nanoplatelets (GPLs) under various thermal conditions (linear and nonlinear thermal loadings). The piece-wise GPL-reinforced composites' material properties change through the orientation of cylindrical nano-sized shell's thickness as the temperature changes. Moreover, in order to model all layers' efficient material properties, nanomechanical model of Halpin-Tsai has been applied. A functionally modified couple stress model (FMCS) has been employed to simulate GPLRC nano-sized shell's size dependency. It is firstly investigated that reaching the relative frequency's percentage to 30% would lead to thermal buckling. The current study's originality is in considering the multifarious influences of GPLRC and thermal loading along with FMCS on GPLRC nano-scaled shell's resonance frequencies, relative frequency, dynamic deflection, and thermal buckling. Furthermore, Hamilton's principle is applied to achieve boundary conditions (BCs) and governing motion equations, while the mentioned equations are solved using an analytical approach. The outcomes reveal that a range of distributions in temperature and other mechanical and configurational characteristics have an essential contribution in GPLRC cylindrical nano-scaled shell's relative frequency change, resonance frequency, stability/instability, and dynamic deflection. The current study's outcomes are practical assumptions for materials science designing, nano-mechanical, and micromechanical systems such as micro-sized sensors and actuators.

Parametric resonance of a spinning graphene-based composite shaft considering the gyroscopic effect

  • Neda Asadi;Hadi Arvin;Yaghoub Tadi Beni;Krzysztof Kamil Zur
    • Steel and Composite Structures
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    • v.51 no.4
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    • pp.457-471
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    • 2024
  • In this research, for the first time the instability boundaries for a spinning shaft reinforced with graphene nanoplatelets undergone the principle parametric resonance are determined and examined taking into account the gyroscopic effect. In this respect, the extracted equations of motion in our previous research (Ref. Asadi et al. (2023)) are implemented and efficiently upgraded. In the upgraded discretized equations the effect of the Rayleigh's damping and the varying spinning speed is included that leads to a different dynamical discretized governing equations. The previous research was about the free vibration analysis of spinning graphene-based shafts examined by an eigen-value problem analysis; while, in the current research an advanced mechanical analysis is addressed in details for the first time that is the dynamics instability of the aforementioned shaft subjected to the principal parametric resonance. The spinning speed of the shaft is considered to be varied harmonically as a function of time. Rayleigh's damping effect is applied to the governing equations in order to regard the energy loss of the system. Resorting to Bolotin's route, Floquet theory and β-Newmark method, the instability region and its accompanied boundaries are defined. Accordingly, the effects of the graphene nanoplatelet on the instability region are elucidated.