• Title/Summary/Keyword: Beam Function

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Quadratic B-spline finite element method for a rotating non-uniform Rayleigh beam

  • Panchore, Vijay;Ganguli, Ranjan
    • Structural Engineering and Mechanics
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    • v.61 no.6
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    • pp.765-773
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    • 2017
  • The quadratic B-spline finite element method yields mass and stiffness matrices which are half the size of matrices obtained by the conventional finite element method. We solve the free vibration problem of a rotating Rayleigh beam using the quadratic B-spline finite element method. Rayleigh beam theory includes the rotary inertia effects in addition to the Euler-Bernoulli theory assumptions and presents a good mathematical model for rotating beams. Galerkin's approach is used to obtain the weak form which yields a system of symmetric matrices. Results obtained for the natural frequencies at different rotating speeds show an accurate match with the published results. A comparison with Euler-Bernoulli beam is done to decipher the variations in higher modes of the Rayleigh beam due to the slenderness ratio. The results are obtained for different values of non-uniform parameter ($\bar{n}$).

An exact transfer matrix method for coupled bending and bending vibrations of a twisted Timoshenko beam

  • Lee, Jung Woo;Lee, Jung Youn
    • Structural Engineering and Mechanics
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    • v.72 no.6
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    • pp.797-807
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    • 2019
  • In this study, an exact transfer matrix expression for a twisted uniform beam considering the effect of shear deformation and rotary inertia is developed. The particular transfer matrix is derived by applying the distributed mass and transcendental function while using a local coordinate system. The results obtained from this method are independent for a number of subdivided elements, and this method can determine the required number of exact solutions for the free vibration characteristics of a twisted uniform Timoshenko beam using a single element. In addition, it can be used as a useful numerical method for the computation of high-order natural frequencies. To validate the accuracy of the proposed method, the computed results are compared with those reported in the existing literature, and the comparison results indicate notably good agreement. In addition, the method is used to investigate the effects of shear deformation and rotary inertia for a twisted beam.

Shaping of piezoelectric polyvinylidene fluoride polymer film for tip position sensing of a cantilever beam

  • Lee, Young-Sup
    • Journal of Sensor Science and Technology
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    • v.14 no.4
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    • pp.225-230
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    • 2005
  • This paper describes a novel tip position sensor made of a triangularly shaped piezoelectric PVDF (polyvinylidene fluoride) film for a cantilever beam. Due to the boundary condition of the cantilever beam and the spatial sensitivity function of the sensor, the charge output of the sensor is proportional to the tip position of the beam. Experimental results with the PVDF sensor were compared with those using two commercially available position sensors: an inductive sensor and an accelerometer. The resonance frequencies of the test beam, measured using the PVDF sensor, matched well with those measured with the two commercial sensors and the PVDF sensor also showed good coherence over wide frequency range, whereas the inductive sensor became poor above a certain frequency.

DESIGN OF A BENDING MAGNET FOR THE KSTAR NBI SYSTEM

  • In, Sang-Ryul;Yoon, Byeong-Joo;Kim, Beom-Yeol
    • Nuclear Engineering and Technology
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    • v.38 no.8
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    • pp.793-802
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    • 2006
  • The design concept of a bending magnet to be installed in the KSTAR NBI system is presented. It is the function of a bending magnet that removes unconverted ions from the main beam stream and produces an 8 MW, 120 keV deuterium neutral beam. In order to determine the proper size and shape of the bending magnet, a parametric study on the B-field pattern was carried out by changing the dimensions of the pole face model. In addition, the detailed trajectories of the dominant ion species produced in the beam line were calculated. The electrical and cooling parameters of the coil assembly were also estimated.

Dynamic Characteristics of Rotating Composite Cantilever Beam with a Breathing Crack (Breathing Crack이 있는 회전하는 복합재료 보의 동적 특성에 관한 연구)

  • Kim, Sung-Soo;Kim, Ji-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.11a
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    • pp.527-533
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    • 2000
  • It is investigated that the characteristics of rotating cantilevered composite beam with a breathing crack. In the present study, the crack is modeled as a breathing crack which opens and closes with the motion of the unidirectional graphite-fiber reinforced polyimide beam. For the finite element analysis, the cracked element is modelled by the local flexibility matrix calculated on the basis of fracture mechanics using Castiligano theorem. Rotating beam is considered only transverse bending motion so that the element includes two degrees of freedom per node such as the transverse deflection and slope. The time history and frequency response function of the beam with a breathing crack are studied by Newmark direct time integration method and FFT(Fast Fourier Transform)simulation. Effects of various parameters such as the crack depths, crack locations, ply angles, volume fraction ratios, and rotating speeds of the beam are also studied. Numerical results indicate that it is more reliable to be modelled as a breathing crack than an open crack.

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Intelligent computer modelling and simulation for the large amplitude of nano systems

  • Yi, Wenjuan
    • Advances in nano research
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    • v.13 no.1
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    • pp.63-75
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    • 2022
  • The nonlinear dynamic behavior of a nonuniform small-scale nonlocal beam is investigated in this work. The nanobeam is theoretically modeled using the nonlocal Eringen theory, as well as a few of Von-nonlinear Kármán's theories and the classical beam theory. The Hamilton principle extracts partial differential equations (PDE) of an axially functionally graded (AFG) nano-scale beam consisting of SUS304 and Si3N4 throughout its length, and an elastic Winkler-Pasternak substrate supports the tapered AFG nanobeam. The beam thickness is a function of beam length, and it constantly varies throughout the length of the beam. The numerical solution strategy employs an iteration methodology connected with the generalized differential quadratic method (GDQM) to calculate the nonlinear outcomes. The nonlinear numerical results are presented in detail to examine the impact of various parameters such as nonlinear amplitude, nonlocal parameter, the component of the elastic foundation, rate of cross-section change, and volume fraction parameter on the linear and nonlinear free vibration characteristics of AFG nanobeam.

Analyses of the Cost function for the Reductions of the Dynamic Response and the Vibrational Intensity of a Discrete System and Its Elastic Supporting Beam (이산계와 탄성 지지보의 동응답 및 진동 인텐시티 저감을 위한 목적함수 해석)

  • Kim, Gi-Man;Choi, Seong-Dae
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.1
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    • pp.83-91
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    • 2010
  • In this paper, the feasibility of the cost function having two control factors were discussed in compared to two others which has one different control factor respectively. As of the control factors, the dynamic response of a discrete system and the vibrational intensity at the reference point which is the connecting point of a discrete system to a flexible beam were controlled actively by the control force obtained from the minimization of the cost function. The method of feedforward control was employed for the control strategy. The reduction levels of the dynamic response of a discrete system and the vibrational intensity at a reference point, and also the input power induced by the control force were evaluated numerically in cases of the three different cost functions. In comparison with the results obtained from the cost functions of one control factor, which is the dynamic response or the vibrational intensity, in most cases of the cost function of two control factors the better or similar results were obtained. As a conclusion, it is surely noted that both the dynamic response and the vibrational intensity of the vibrating system be controlled up to the expected level by using the single cost function having two control factors.

FDOA Detection of Split-beam Transducers by Transfer Function Estimation (전달함수 추정에 의한 Split-beam 변환기의 FDOA 탐지)

  • Park Hae-young;Park Soon-jong;Kim Moo-joon;Kim Chun-duck;Lee Chai-bong
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.119-120
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    • 2004
  • Split-beam 트랜스듀서의 입력신호로써 Sweep 신호를 구동한 어군탐지기 SONAR에 대하여 기술한다. Sweep 신호의 대역폭은 트랜스듀서 공진 대역의 대역폭에서 주파수 이동 변환하였다. 목표 대상물의 방위각 추정은 각 수신 채널 사이의 크로스-스펙트럼을 사용하여 추정한다. 추정 방위각의 정확도는 제안한 시스템의 알고리듬에 관계하고 있다.

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A Knowledge-based Beam Search Method for a Single Machine Scheduling (단일 기계의 일정계획 문제에 대한 지식 베이스 빔 탐색 기법)

  • Kim, Seong-In;Kim, Sun-Uk;Yang, Heo-Yong;Kim, Sheung-Kwon
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.3
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    • pp.11-23
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    • 1993
  • A basic problem of sequencing a set of independent tasks at a single facility with the objective of minimizing total tardiness is considered. A variation of beam search, called knowledge-based beam search, has been studied which uses domain knowledge to reduce the problem size with an evaluation function to generate nodes probable to include the optimal solution. Its performance behavior is compared with some existing algorithms.

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Experimental Verification of a Structural Damage Identification Method for Beam Structures (보 구조물에 대한 손상검출기법의 실험적 검증)

  • 조국래;이우식
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.837-840
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    • 1997
  • This paper provides an experimental verification of an FRF-based structural damage identification method (SDIM) developed by the authors for beam structures. The FRF-based SDIM requires the following data : (1) natural frequencies and mode shapes measured at the intact state and (2) the FRF-data measured at the damaged state. Experiments are conducted for the cantilevered beam with one slot and three slots. It is shown that the FRF-based SDIM developed by the authors provide very successful damage identification results which agree well with true damage state.

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