• 제목/요약/키워드: Angular Displacement

검색결과 211건 처리시간 0.024초

크랙을 가진 회전 외팔보의 동특성 해석 (Dynamic Behavior of Rotating Cantilever Beam with Crack)

  • 윤한익;손인수
    • 한국소음진동공학회논문집
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    • 제15권5호
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    • pp.620-628
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    • 2005
  • In this paper, we studied about the dynamic behavior of a cracked rotating cantilever beam. The influences of a rotating angular velocity, the crack depth and the crack position on the dynamic behavior of a cracked cantilever beam have been studied by the numerical method. The equation of motion is derived by using the Lagrange's equation. The cracked cantilever beam is modeled by the Euler-Bernoulli beam theory. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. The lateral tip-displacement and the axial tip-deflection of a rotating cantilever beam is more sensitive to the rotating angular velocity than the depth and position of crack. Totally, as the crack depth is increased, the natural frequency of a rotating cantilever beam is decreased in the first and second mode of vibration. When the crack depth is constant, the natural frequencies of a rotating cantilever beam are proportional to the rotating angular velocity in the each direction.

크랙을 가진 회전 외팔보의 동특성해석 (Dynamic Behavior of Rotating Cantilever Beam with Crack)

  • 손인수;윤한익
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.707-710
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    • 2005
  • In this paper, we studied about the dynamic behavior of a cracked rotating cantilever beam. The influences of a rotating angular velocity, the crack depth and the crack position on the dynamic behavior of a cracked cantilever beam have been studied by the numerical method. The cracked cantilever beam is modeled by the Euler-Bernoulli beam theory. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. The lateral tip displacement and the axial tip deflection of a rotating cantilever beam is more sensitive to the rotating angular velocity than the depth and position of crack. Totally, as the crack depth is increased, the natural frequency of a rotating cantilever beam is decreased in the first and second mode of vibration.

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관절의 수동탄성특성을 이용한 족부의 생체역학적 해석 (Biomechanical Analysis of the Human Foot by Using Passive Elastic Characteristics of Joints)

  • 김시열;최현기
    • 한국정밀공학회지
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    • 제21권1호
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    • pp.197-204
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    • 2004
  • In this study we presented kinematic and kinetic data of foot joints using approximated equations and partial plantar pressure during gait. The maximum angular displacements of each tarsometatarsal joint were found to range from 4$^{\circ}$to 7$^{\circ}$ and the maximum moments were from 200Nㆍcm to 1500Nㆍcm. It was relatively wide distribution. Foot kinematic data calculated from the approximated equations, which were represented by the correlation between moment and angular displacement, and the data from motion analysis were similar. We found that the movements of foot joint were mainly decided by the passive characteristics of the joint when ground reaction force acts. The method of kinematic and kinetic analysis using approximated equations which is presented in this study is considered useful to describe the movements of foot joints in gait simulations.

Deformation in transversely isotropic thermoelastic medium using new modified couple stress theory in frequency domain

  • Lata, Parveen;Kaur, Harpreet
    • Geomechanics and Engineering
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    • 제19권5호
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    • pp.369-381
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    • 2019
  • The objective of this paper is to study the two dimensional deformation in transversely isotropic thermoelastic medium without energy dissipation due to time harmonic sources using new modified couple stress theory, a continuum theory capable to predict the size effects at micro/nano scale. The couple stress constitutive relationships have been introduced for transversely isotropic thermoelastic medium, in which the curvature tensor is asymmetric and the couple stress moment tensor is symmetric. Fourier transform technique is applied to obtain the solutions of the governing equations. Assuming the deformation to be harmonically time-dependent, the transformed solution is obtained in the frequency domain. The application of a time harmonic concentrated and distributed sources have been considered to show the utility of the solution obtained. The displacement components, stress components, temperature change and couple stress are obtained in the transformed domain. A numerical inversion technique has been used to obtain the solutions in the physical domain. The effects of angular frequency are depicted graphically on the resulted quantities.

자기베어링의 실시간 정밀제어를 위한 원통형 정전용량 변위센서의 새로운 설계 (New Design of Cylindrical Capacitive Sensor for On-line Precision Control of AMB Spindles)

  • 전수;안형준;한동철
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.548-553
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    • 2000
  • A new design of cylindrical capacitive sensor(CCS) for the displacement measurement of precision active magnetic bearing(AMB) spindle is presented in this paper. This research is motivated by the problem that existing 4-segment CCS is still sensitive to the $3^{rd}$ harmonic component of the geometric errors of a rotor. The procedure of designing new CCS starts from the modeling and error analysis of CCS. The angular size of CCS is set up as a design parameter, and new 8-segment CCS is introduced to possess an arbitrary angular size. The optimum geometry of CCS to minimize the effect of geometric errors is determined through minimum norm approach. Experimental results with test rotors have confirmed the improvement in geometric error suppression.

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3극 전계방출 전자총의 정전기 렌즈에 의한 전자빔 거동 (Electron Beam Behaviors by the Electrostatic Lens in Triode Field Emission Gun)

  • 김충수;김동환;박만진;장동영;한동철
    • 한국공작기계학회논문집
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    • 제16권6호
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    • pp.163-167
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    • 2007
  • A field emission electron gun including 3 electrodes including one cathode and two anodes is very important for high resolution electron microscope. To have functions to control the initially-emitted electron beam, two anodes act as an electrostatic lens according to equipotential lines by adjusting the spot size, intensity, and working distance. To verify the action of the electron beam by the electrostatic lens by changing several parameters such as electrode shape, displacement and applied voltage to the electrodes, the two lenses were design and simulated and then their performances were analyzed with angular beam intensity(distribution), electrical optic axis variation and their stability.

Vibration analysis of magneto-flexo-electrically actuated porous rotary nanobeams considering thermal effects via nonlocal strain gradient elasticity theory

  • Ebrahimi, Farzad;Karimiasl, Mahsa;Mahesh, Vinyas
    • Advances in nano research
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    • 제7권4호
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    • pp.223-231
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    • 2019
  • In this article the frequency response of magneto-flexo-electric rotary porous (MFERP) nanobeams subjected to thermal loads has been investigated through nonlocal strain gradient elasticity theory. A quasi-3D beam model beam theory is used for the expositions of the displacement components. With the aid of Hamilton's principle, the governing equations of MFERP nanobeams are obtained. Further, administrating an analytical solution the frequency problem of MFERP nanobeams are solved. In addition the numerical examples are also provided to evaluate the effect of nonlocal strain gradient parameter, hygro thermo environment, flexoelectric effect, in-plane magnet field, volume fraction of porosity and angular velocity on the dimensionless eigen frequency.

The linear-elastic stiffness matrix model analysis of pre-twisted Euler-Bernoulli beam

  • Huang, Ying;Zou, Haoran;Chen, Changhong;Bai, Songlin;Yao, Yao;Keer, Leon M.
    • Structural Engineering and Mechanics
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    • 제72권5호
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    • pp.617-629
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    • 2019
  • Based on the finite element method of traditional straight Euler-Bernoulli beams and the coupled relations between linear displacement and angular displacement of a pre-twisted Euler-Bernoulli beam, the shape functions and stiffness matrix are deduced. Firstly, the stiffness of pre-twisted Euler-Bernoulli beam is developed based on the traditional straight Euler-Bernoulli beam. Then, a new finite element model is proposed based on the displacement general solution of a pre-twisted Euler-Bernoulli beam. Finally, comparison analyses are made among the proposed Euler-Bernoulli model, the new numerical model based on displacement general solution and the ANSYS solution by Beam188 element based on infinite approach. The results show that developed numerical models are available for the pre-twisted Euler-Bernoulli beam, and which provide more accurate finite element model for the numerical analysis. The effects of pre-twisted angle and flexural stiffness ratio on the mechanical property are investigated.

RVDT용 DSP 기반 위상 자동보정 디지털 신호처리기 FPGA 구현 (FPGA Implementation of RVDT Digital Signal Conditioner with Phase Auto-Correction based on DSP)

  • 김성미;서연호;진유린;이민웅;조성익;이종열
    • 한국정보통신학회논문지
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    • 제21권6호
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    • pp.1061-1068
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    • 2017
  • RVDT(Rotary Variable Differential Transformer)는 각도 변위를 측정하는 센서로써 출력 신호는 DSBSC-AM(Double SideBand Suppressed Carrier AM) 신호이기 때문에 출력 신호로부터 각도 변위를 알아내기 위하여 DSBSC-AM 복조 과정이 필요하다. 본 논문에서는 DSBSC-AM 신호의 복조기인 코스타스 루프를 수정하여 RVDT 출력 신호로부터 각도 변위를 추출하는 DADC(Digital Angle to DC)를 FPGA(Field Programmable Gate Array)로 구현하였다. 본 논문에서 설계된 DADC는 4선식과 5선식 RVDT에 적용가능하며, 코스타스 루프의 사용으로 기존의 아날로그 신호처리기와는 달리 외부의 소자를 사용하지 않고 RVDT 입력여기신호와 출력신호 사이의 위상 차이를 정확하게 보정할 수 있다. 또한 선형성 향상을 위하여 디지털 신호처리 기법이 적용되어 DADC는 기존의 아날로그 신호처리기의 선형성 오차 0.05%보다 적은 0.035%의 선형성 오차를 보였다. 구현된 DADC의 기능과 성능 테스트는 상용 RVDT 센서와 ADC(Analog to Digital Converter), 아날로그 출력단으로 구성된 통합 실험환경을 구성하여 진행하였다.

달리기 속도의 증가에 따른 운동화 중저의 경도와 신발바닥의 두께가 신발의 볼 굴곡각도에 미치는 영향 (The Influence of Midsole Hardness and Sole Thickness of Sport Shoes on Ball Flex Angle with the Increment of Running Velocity)

  • 곽창수;목승한;권오복
    • 한국운동역학회지
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    • 제15권4호
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    • pp.153-168
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    • 2005
  • The purposes of this study were to determine the influence of midsole hardness and sole thickness of sports shoes on ball flex angle and position with increment of running velocity. The subjects employed for this study were 10 college students who did not have lower extremity injuries for the last one year and whose running pattern was rearfoot striker of normal foot. The shoes used in this study had 3 different midsole hardness of shore A 40, shore A 50, shore A 60 and 3 different sole thickness of 17cm, 19cm, 21cm. The subjects were asked to run at 3 different speed of 2.0m/sec, 3.5m/sec, 5.0m/sec and their motions were videotaped with 4 S-VHS video cameras and 2 high speed video cameras and simultaneously measured with a force platform. The following results were obtained after analysing and comparing the variables. Minimum angle of each ball flex position were increased with the increment of running velocity and shoe sole thickness(P<0.05), but mid-sole hardness did not affect minimum ball flex angle. The position which minimum angle was shown as smallest was 'D'. Midsole hardness and sole thickness did not affect time to each ball flex minimum angle, total angular displacement of ball flex angle, and total angular displacement of torsion angle(P<0.05). The position which minimum angle was appeared to be earliest was similar at walking velocity, and E and F of midfoot region at running velocity. Total angular displacement of ball flex position tended to increase as shifted to heel. It was found that running velocity had effects on ball flex angle variables, but shoe sole thickness partially affected. It would be considered that running velocity made differences between analysis variables at walking and running when designing shoes. Also, it was regarded that shoes would be developed at separated region, because ball flex angle and position was shown to be different at toe and heel region. It is necessary that midsole hardness and thickness required to functional shoes be analyzed in the further study.