• 제목/요약/키워드: Elastic motion

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Circulatory Force를 받는 평면(平面)뼈대 구조물(構造物)의 동적(動的) 후좌굴(後座屈) 거동(擧動)에 관한 연구(硏究) (A Study on the Dynamic Post-Buckling Behavior of the Plane Frame Structures Subjected to Circulatory Forces)

  • 김문영;장승필
    • 대한토목학회논문집
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    • 제8권2호
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    • pp.13-24
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    • 1988
  • 본(本) 논문(論文)은 평면(平面)뼈대 구조물(構造物)의 동적(動的) 후좌굴(後座屈) 거동(擧動)을 파악(把握)하기 위하여 기하적(幾何的)인 비선형(非線型) 유한요소법(有限要素法)을 제시(提示)한다. 이를 위하여 3차원(次元) 연속체(連續體)에 대한 가상(假想)일의 원리(原理)에 배루누이-오일러 가정을 도입하므로서, 평면(平面)뼈대에 대한 탄성강도(彈性剛度)매트릭스, 기하적(幾何的)인 강도(剛度)매트릭스 그리고 질량(質量)매트릭스들을 유도한다. circulatory force를 받는 경우에는 circulatory discrete joint load와 circulatory distributed load에 대한 load correction stiffness matrix를 유도하므로써 이러한 하중을 받는 구조물(構造物)의 접선강도(接線剛度)매트릭스는 비대칭 행렬임을 보인다. 유도된 비선형(非線型) 운동방정식(運動方程式)의 해(解)는 Newton-Raphson 방법(方法) 및 Newmark 방법(方法)을 사용(便用)하여 구한다.

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SPR 기법을 이용한 회전 블레이드의 변형 및 모션 측정 (Measurement of Rotor Blade Deformation and Motions using Stereo Pattern Recognition Method)

  • 박재원;김홍일;한재흥;김도형;송근웅
    • 한국항공우주학회지
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    • 제39권5호
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    • pp.442-450
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    • 2011
  • 회전 블레이드의 모션을 측정하기 위해 스테레오 패턴 인식 (stereo pattern recognition, SPR) 기법을 적용한 측정 시스템을 구성하고 실험을 수행하였다. 시스템 요구사항을 만족시키는 스테레오 카메라를 확보하여 SPR 기반의 측정 시스템을 준비하였다. 시스템의 측정불확도를 계산하기 위한 일련의 실험을 통해, 본 SPR 시스템이 2m~4.2m의 측정 거리에서 0.2mm 이내의 표준불확도를 가짐을 확인하였다. 이를 이용하여 계산한 블레이드 모션의 합성표준불확도는, 리드-래그, 플래핑, 비틀림 운동에 대해 각각 0.296mm, 0.209mm, $0.238^{\circ}$ 이었다. 본 SPR 시스템을 한국항공우주연구원의 소형로터 시험장치에 설치하고 회전속도와 콜렉티브 피치각을 각각 360rpm, 589rpm, 그리고 $0^{\circ}$, $4^{\circ}$, $6^{\circ}$로 바꾸어가며, 지상 제자리비행 조건에서 블레이드의 모션과 탄성 변형을 성공적으로 측정하였다. Higher Harmonic Control Aeroacoustic Rotor Test -II 에서 사용한 측정 시스템과의 비교를 통하여 본 시스템의 장점을 분석하였다.

슬링운동치료에서 Hanging Point의 원리와 임상적 적용 (A Clinical Application with the Principle of Hanging Point In the Sling Exercise Therapy)

  • 김선엽;김택연;박성진
    • 대한정형도수물리치료학회지
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    • 제9권2호
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    • pp.25-45
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    • 2003
  • Sling exercise treatment(S-E-T) is a therapeutic exercise based on scientific studies for the purpose of treating musculoskeletal or neurological disorders thereby improving strength, endurance, and skills for sensory-motor integration. Exercise resistance and intensity can be modified in various ways by changing the length of rope, patient position, therapist's manual resistance, and using elastic rope. The therapist can also progress to successively higher levels of exercise resistance and intensity by changing the position of the hanging point: the subject of this article. In brief, there are three axial components in S-E-T; hanging point, motor axis, and suspension point. The hanging point can be changed in several ways in relation to the joint; axial, superior, inferior, medial, and posterior hanging points. The position of the hanging point affects the amount of load on agonist and antagonist muscles as well as on the range of motion. To create an advanced exercise program, selection of hanging point can be two-dimensional such as superior-lateral or anterior-medial. Therapists, therefore, can freely but carefully select the best hanging point based on the purpose of the exercise and their level of knowledge in S-E-T.

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Free vibration of sandwich micro-beam with porous foam core, GPL layers and piezo-magneto-electric facesheets via NSGT

  • Mohammadimehr, Mehdi;Firouzeh, Saeed;Pahlavanzadeh, Mahsa;Heidari, Yaser;Irani-Rahaghi, Mohsen
    • Computers and Concrete
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    • 제26권1호
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    • pp.75-94
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    • 2020
  • The aim of this research is to investigate free vibration of a novel five layer Timoshenko microbeam which consists of a transversely flexible porous core made of Al-foam, two graphen platelets (GPL) nanocomposite reinforced layers to enhance the mechanical behavior of the structure as well as two piezo-magneto-electric face sheets layers. This microbeam is subjected to a thermal load and resting on Pasternak's foundation. To accomplish the analysis, constitutive equations of each layer are derived by means of nonlocal strain gradient theory (NSGT) to capture size dependent effects. Then, the Hamilton's principle is employed to obtain the equations of motion for five layer Timoshenko microbeam. They are subsequently solved analytically by applying Navier's method so that discretized governing equations are determined in form of dynamic matrix giving the possibility to gain the natural frequencies of the Timoshenko microbeam. Eventually, after a validation study, the numerical results are presented to study and discuss the influences of various parameters such as nonlocal parameter, strain gradient parameter, aspect ratio, porosity, various volume fraction and distributions of graphene platelets, temperature change and elastic foundation coefficients on natural frequencies of the sandwich microbeam.

Simplified procedure for seismic demands assessment of structures

  • Chikh, Benazouz;Mehani, Youcef;Leblouba, Moussa
    • Structural Engineering and Mechanics
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    • 제59권3호
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    • pp.455-473
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    • 2016
  • Methods for the seismic demands evaluation of structures require iterative procedures. Many studies dealt with the development of different inelastic spectra with the aim to simplify the evaluation of inelastic deformations and performance of structures. Recently, the concept of inelastic spectra has been adopted in the global scheme of the Performance-Based Seismic Design (PBSD) through Capacity-Spectrum Method (CSM). For instance, the Modal Pushover Analysis (MPA) has been proved to provide accurate results for inelastic buildings to a similar degree of accuracy than the Response Spectrum Analysis (RSA) in estimating peak response for elastic buildings. In this paper, a simplified nonlinear procedure for evaluation of the seismic demand of structures is proposed with its applicability to multi-degree-of-freedom (MDOF) systems. The basic concept is to write the equation of motion of (MDOF) system into series of normal modes based on an inelastic modal decomposition in terms of ductility factor. The accuracy of the proposed procedure is verified against the Nonlinear Time History Analysis (NL-THA) results and Uncoupled Modal Response History Analysis (UMRHA) of a 9-story steel building subjected to El-Centro 1940 (N/S) as a first application. The comparison shows that the new theoretical approach is capable to provide accurate peak response with those obtained when using the NL-THA analysis. After that, a simplified nonlinear spectral analysis is proposed and illustrated by examples in order to describe inelastic response spectra and to relate it to the capacity curve (Pushover curve) by a new parameter of control, called normalized yield strength coefficient (${\eta}$). In the second application, the proposed procedure is verified against the NL-THA analysis results of two buildings for 80 selected real ground motions.

평행봉 2회전 뒤돌아 무릎 구부려 내리기 동작의 운동학적 분석 (Kinematic Analysis of Double Backward Somersault on the Parallel Bars)

  • 이종훈;이용식
    • 한국운동역학회지
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    • 제14권1호
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    • pp.27-40
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    • 2004
  • The purpose of this study was to provide basic data for improving athletic performances by analyzing the kinematic variables of the Double Backward Somersault on the Parallel Bars through the 3D motion analysis. The subjects in this study were 5 male gymnasts who were ranked as national athletes. The results are as follows. 1. A total time(Mean Time) of performance showed $2.72{\pm}0.82\;sec$. and flight time to landing after releasing was 0.87sec.(mean). In order to perform better stable flying movement, the flight time should be increased. 2. In the change of velocity of the center of mass, when the increasing ascension velocity of the upper point was high, the position in the top point was high on releasing. 3. In the position variable of the center of mass, the mean of upper-bottom position in horizontal posture was $242.1{\pm}6.5cm$, $232.8{\pm}6.4cm$ in releasing, and $265.0{\pm}5.6cm$ in the highest point. This result is explained that the position of center of mass can be raised by using elastic power when wrist raised the bar in the releasing movement. 4. The angle of shoulder joint was $271.1{\pm}14.0$. Such a big angle influences a negative effect on the releasing velocity, because trunk is not a position in the enough vertical direction. 5. The ankle of hip joint in hand-standing was $191.1{\pm}5.9$, $118.8{\pm}5.3$ in releasing, and $122.3{\pm}5.3$ in taking on. Therefore, the result suggests that trunk should be straightly raised in taking on.

이산폰툰형 부유식교량의 지진응답해석 (Seismic Response Analysis of a Floating Bridge with Discrete Pontoons)

  • 권장섭
    • 한국지진공학회논문집
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    • 제9권2호통권42호
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    • pp.47-58
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    • 2005
  • 이산폰툰형 부유식교량의 시간영역 지진응답해석을 지진파의 공간분포를 고려하여 수행하였다. 지반운동의 공간변화는 파의 통과 영향, 엇결성 뎡향 및 국부지반 영향을 반영하는 결맞음 함수 모델로 고려하였다. 부유식 교량의 상부구조는 공간뼈대요소와 탄성현수케이블요소를 이용하여 모델링 하였고, FHWA 가이드라인의 스프링 모델을 사용하여 교대의 지반 구조물 상호작용에 대한 영향을 고려하엿으며, 경계요소법으로 산정한 폰툰 동수력계수의 주파수 의종성을 고려하기 위해서 시간지연함수를 사용하였다. 지반운동의 공간변화를 고려한 다중지점 지진입력을 교량의 양단에 도입하였고 응답의 시간이력을 동시 가진 시와 비교하였다. 장주기의 동적특성을 갖는 이산폰툰형 부유식 교량의 지진응답 해석에서 지반운동의 공간분포를 고려할 경우에 주몰할만한 응답의 증폭이 나타날 수 있음을 확인하였다.

레일표면 측정장치의 설계변수가 음향조도 스펙트럼 분석에 미치는 영향 (Effect of Design variables of Rail Surface Measuring Device on Acoustic Roughness and Spectral Analysis)

  • 정우태;전승우;정다해;최한신
    • 한국철도학회논문집
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    • 제20권4호
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    • pp.440-447
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    • 2017
  • 철도차량의 전동소음(Rolling noise)을 줄이기 위해서는 차륜과 레일의 음향조도(Acoustic roughness)가 국제규격에서 규정하는 일정값 이하로 관리되어야 한다. 이러한 음향조도의 관리를 위해서 사용되는 측정장치는 접촉식 변위센서를 주로 사용하게 되는데, 주행 중인 장치에서는 센서가 고정된 플랫폼의 위치가 가변적이고 레일면과 구동륜의 접촉시에 프레임의 피칭(Pitching)운동에 의해서 측정값의 오차가 발생하는 단점이 있다. 본 연구에서는 접촉식 변위센서를 통해 측정된 데이터의 정확도를 높이기 위해서, 플랫폼의 휠베이스, 바퀴의 개수 및 바퀴의 탄성접촉 등에 의한 레일표면 측정값의 변화와 스펙트럼 변화를 해석하였으며, 각 설계변수가 음향 스펙트럼에 미치는 영향을 분석하였다.

현행 내진설계 규준의 수평강도 요구에 대한 평가 (Evaluation of the Strength Required in Current Seismic Design Code)

  • 한상환;오영훈;이리형
    • 전산구조공학
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    • 제10권4호
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    • pp.281-290
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    • 1997
  • 현행 내진설계 규준에서 사용하고 있는 반응수정계수는 설계지진하중과 유사한 지진발생시 구조물이 비선형 거동을 하도록 탄성응답에서 요구되는 밑면전단력 값을 낮추는 계수라 할 수 있다. 따라서 반응수정계수는 하중저감계수(force reduction factor)라고 할 수 있으며, 이러한 값들은 경험적으로 결정된 것이어서 예상지진에 대하여 구조설계자가 설계한 건물이 어느정도의 비선형 거동을 할지는 예측하기가 힘들다. 본 연구에서는 목표가 되는 연성비(target ductility ratio)에 따라 요구되는 밑면전단력의 값을 구하고 이를 규준에서 요구하는 값과 비교할 것이다. 만약 요구되는 값이 규준 값 보다 크다면 이는 구조물이 가지는 부가강도(overstrength)나 잉여력(redundancy)이 담당해야 한다. 모멘트연성골조 건물을 설계한 후 이를 push-over 해석에 의하여 부가강도를 찾아 보아 요구강도와 비교할 것이다.

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Elastic solutions due to a time-harmonic point load in isotropic multi-layered media

  • Lin, Gao;Zhang, Pengchong;Liu, Jun;Wang, Wenyuan
    • Structural Engineering and Mechanics
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    • 제57권2호
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    • pp.327-355
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    • 2016
  • A new analytical derivation of the elastodynamic point load solutions for an isotropic multi-layered half-space is presented by means of the precise integration method (PIM) and the approach of dual vector. The time-harmonic external load is prescribed either on the external boundary or in the interior of the solid medium. Starting with the axisymmetric governing motion equations in a cylindrical coordinate system, a second order ordinary differential matrix equation can be gained by making use of the Hankel integral transform. Employing the technique of dual vector, the second order ordinary differential matrix equation can be simplified into a first-order one. The approach of PIM is implemented to obtain the solutions of the ordinary differential matrix equation in the Hankel integral transform domain. The PIM is a highly accurate algorithm to solve sets of first-order ordinary differential equations and any desired accuracy of the dynamic point load solutions can be achieved. The numerical simulation is based on algebraic matrix operation. As a result, the computational effort is reduced to a great extent and the computation is unconditionally stable. Selected numerical trials are given to validate the accuracy and applicability of the proposed approach. More examples are discussed to portray the dependence of the load-displacement response on the isotropic parameters of the multi-layered media, the depth of external load and the frequency of excitation.