• Title/Summary/Keyword: Beam Function

Search Result 1,348, Processing Time 0.034 seconds

Vibration Analysis of Rotating Cantilever Beams Considering Concentrated Mass Effect (집중방향의 영향을 고려한 회전 외팔보의 진동해석)

  • Yoo, Hong-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.20 no.8
    • /
    • pp.2516-2523
    • /
    • 1996
  • The equations of motion for rotating contilever beams with a concentrated mass loated in an arbitrary position are derived. For the modeling of the concentrated mass the Dirac delta function is used for the mass density function. Parametric studies are performed with five dimensionless variables ; natural frequencies, angular velocity, hub radius, concentrated mass, and the mass location. The concentrated mass, whereverit may locate, lowers the natural frequencies of a stationaly beam. However, when the beam rotates, the natural frequencies(if they increase or decrease) are dictated by the location of the concentrated mass.

Direct calculation of interface warping functions for considering longitudinal discontinuities in beams

  • Lee, Dong-Hwa;Kim, Hyo-Jin;Lee, Phill-Seung
    • Structural Engineering and Mechanics
    • /
    • v.80 no.5
    • /
    • pp.625-643
    • /
    • 2021
  • In this paper, we present a new method to calculate interface warping functions for the analysis of beams with geometric and material discontinuities in the longitudinal direction. The classical Saint Venant torsion theory is extended to a three-dimensional domain by considering the longitudinal direction. The interface warping is calculated by considering both adjacent cross-sections of a given interface. We also propose a finite element procedure to simultaneously calculate the interface warping function and the corresponding twisting center. The calculated interface warping functions are employed in the continuum-mechanics based beam formulation to analyze arbitrary shape cross-section beams with longitudinal discontinuities. Compared to the previous work by Yoon and Lee (2014a), both geometric and material discontinuities are considered with fewer degrees of freedom and higher accuracy in beam finite element analysis. Through various numerical examples, the effectiveness of the proposed interface warping function is demonstrated.

The Conditions of a Holographic Homogenizer to Optimize the Intensity Uniformity (주기적인 홀로그램을 이용한 레이저 광 세기 균일화기에서 균일도를 최적화하기 위한 홀로그램의 조건)

  • Go, Chun-Soo;Oh, Yong-Ho;Lim, Sung-Woo
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.24 no.7
    • /
    • pp.578-583
    • /
    • 2011
  • We report on the design of a holographic homogenizer composed of a periodic hologram and a condensing lens. If the hologram is periodic, the homogenizer is free from the alignment error of the incident laser beam. Holographic homogenizer also has an advantage of the flexibility in the size of the target beam. We calculated theoretically the Fraunhofer diffracted wave function when a rectangular laser beam is incident on a periodic hologram. The diffracted wave is the sum of sinc functions at regular distance. The width of each sinc function depends on the size of the incident laser beam and the distance between the sinc functions depends on the period of the hologram. We calculated numerically the diffracted light intensity for various ratios of the size of the incident laser beam to the period of the hologram. The results show that it is possible to make the diffracted beam uniform at a certain value of the ratio. The uniformity is high at the central part of the target area and low near the edge. The more sinc functions are included in the target area, the larger portion of the area becomes uniform and the higher is the uniformity at the central part. Therefore, we can make efficient homogenizer if we design a hologram so that the maximum number of the diffracted beams may be included in the target area.

Improvement of the Signal-to-Noise Ratio of Photorefractive Joint Transform Correlator using Characteristics of $BaTiO_3$ ($BaTiO_3$의 특성을 이용한 광굴절 결합 변환 상관기의 신호 대 잡음비 개선)

  • 공명술;서동환;신창목;조규보;김철수;김수중
    • Journal of the Institute of Electronics Engineers of Korea SD
    • /
    • v.40 no.3
    • /
    • pp.19-32
    • /
    • 2003
  • In the conventional photorefractive joint transform correlator(PRJTC), the intensity ration of input signal-to-pump beam should be large enough to saturate two-beam coupling transfer function to obtain a desired correlation result. As a result, the signal-to-noise ratio(SNR) of correlation result is decreased in a noisy input image. In this paper, we propose the improved method for increasing the SNR of the PRJTC by using the characteristics of BaTiO$_3$. We stop the energy transfer saturating by low intensity ratio of input beam and realize a short length of effective interaction in BaTiO$_3$ by making large incident angle of the signal beam. So the gain in high frequency area is decreased and the gain in low frequency area comes up to the saturation gain of the beam coupling transfer function. Therefore the SNR is improved in noisy input image and the PRJTC can be easily realized by low intensity ratio of input beam.

Beam Scheduling Algorithm of Multi-Function AESA Radar Based on Dispatching Rules (Dispatching Rule에 기반한 능동 위상 배열 다기능 레이더의 빔 스케줄링 기법)

  • Roh, Ji-Eun;Ahn, Chang-Soo;Kim, Seon-Joo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.23 no.1
    • /
    • pp.1-13
    • /
    • 2012
  • AESA radar is able to instantaneously and adaptively position and control the beam, and such adaptive beam pointing of AESA radar enables to remarkably improve the multi-mission capability, compared with mechanically scanned array radar. AESA radar brings a new challenges, radar resource management(RRM), which is a technique efficiently allocating finite resources, such as energy and time to each task in an optimal and intelligent way. Especially radar beam scheduling is the most critical component for the success of RRM. In this paper, we proposed the several dispatching rules for radar beam scheduling, and compared the performance on the multi-function radar scenario. We also showed that the dispatching rule which differently applying SPF(Shortest Processing time First) and ERF(Earliest Request time First) according to beam processing latency is the most efficient.

Stochastic vibration response of a sandwich beam with nonlinear adjustable visco-elastomer core and supported mass

  • Ying, Z.G.;Ni, Y.Q.;Duan, Y.F.
    • Structural Engineering and Mechanics
    • /
    • v.64 no.2
    • /
    • pp.259-270
    • /
    • 2017
  • The stochastic vibration response of the sandwich beam with the nonlinear adjustable visco-elastomer core and supported mass under stochastic support motion excitations is studied. The nonlinear dynamic properties of the visco-elastomer core are considered. The nonlinear partial differential equations for the horizontal and vertical coupling motions of the sandwich beam are derived. An analytical solution method for the stochastic vibration response of the nonlinear sandwich beam is developed. The nonlinear partial differential equations are converted into the nonlinear ordinary differential equations representing the nonlinear stochastic multi-degree-of-freedom system by using the Galerkin method. The nonlinear stochastic system is converted further into the equivalent quasi-linear system by using the statistic linearization method. The frequency-response function, response spectral density and mean square response expressions of the nonlinear sandwich beam are obtained. Numerical results are given to illustrate new stochastic vibration response characteristics and response reduction capability of the sandwich beam with the nonlinear visco-elastomer core and supported mass under stochastic support motion excitations. The influences of geometric and physical parameters on the stochastic response of the nonlinear sandwich beam are discussed, and the numerical results of the nonlinear sandwich beam are compared with those of the sandwich beam with linear visco-elastomer core.

ML-6M선형 가속기에서의 BEAM 특성에 대한 고찰

  • Mun, Eon-Cheol;Yun, Byeong-Un;O, Yang-Hwan
    • The Journal of Korean Society for Radiation Therapy
    • /
    • v.5 no.1
    • /
    • pp.115-119
    • /
    • 1992
  • The beam characteristics and dosimetric measurements of the 6MV X-ray and 6MeV electron beam from a ML-6M linear accelerator are examined. The Percent Depth Dose(PDD) table and the tissue Maximum Ratio(TMR) table are taken from measurement as a function of the field size and the depth. The calculated TMR table from PDD table is compared with those from measurement. Other beam characteristics such as output factor, beam profile(including flatness, symmetry and penumbra), wedge, and the variation of Dmax are presented. All of these dosimetric measurements sufficiently characterized the beam to permit safe clinical use.

  • PDF

A Study on the Dynamic Behavior of a Simply Supported Beam with Moving Masses and Cracks (이동질량과 크랙을 가진 단순지지 보의 동특성에 관한 연구)

  • 윤한익;손인수;조정래
    • Journal of Ocean Engineering and Technology
    • /
    • v.17 no.6
    • /
    • pp.47-52
    • /
    • 2003
  • To determine the effect of transverse open crack on the dynamic behavior of simply-supported Euler-Bernoulli beam with the moving masses, an iterative modal analysis approach is developed. The influence of depth and position of the crack in the beam, on the dynamic behavior of the simply supported beam system, have been studied by numerical method. The cracked section is represented by a local flexibility matrix, connecting two undamaged beam segments that is, the crack is modeled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces across the crack section, and is derived by applying a fundamental fracture mechanics theory. As the depth of the crack is increased, the mid-span deflection of the simply-supported beam, with the moving mass, is increased. The crack is positioned in the middle point of the pipe, and the mid-span defection of the simply-supported pipe represents maximum deflection.

Evaluation of an applicability of lattice girders for the tunnel support (터널지보재로서 격자지보(Lattice Girder)의 현장적용성 평가 연구)

  • 문홍득;이성원;배규진
    • Tunnel and Underground Space
    • /
    • v.6 no.2
    • /
    • pp.122-130
    • /
    • 1996
  • Generally the NATM technique uses shotcrete, rock bolts, H-beam steel ribs, and concrete lining for the tunnel support in Korea. Among them, H-beam steel ribs are extremely heavy and difficult for workers to handle. Therefore, especially in Europe, lattice girders are being used instead of H-beam steel ribs for tunnel support. Lattice girders have basically the same function as H-beam steel ribs in tunnelling. The main advantages of using lattice girders compared to H-beam steel rib supports are as follows: 1) lattice girders have relatively a low weight enough to be easily lifted and installed by labors and 2) they create a more effective bond with the shotcrete. The purpose of this study is to evaluate the effectiveness and applicability of lattice girders compared to H-beam steel ribs used in construction tunnel sites and to show that lattice girders can be adequately applied in domestic tunnel construction sites as a new tunnel support system.

  • PDF

Sound radiation of curved beam under the action of harmonic line forces (조화분포하중을 받는 원환보의 음향방사)

  • 지창헌
    • Journal of the Korean Society of Safety
    • /
    • v.12 no.3
    • /
    • pp.10-16
    • /
    • 1997
  • The problem of sound radiation from curved beam under the action of harmonic line forces is studied. The reaction due to fluid loading on the vibratory response of the curved beam is taken into account. The curved beam is assumed to occupy the plane y=0. The curved beam material and the elastic foundation are assumed to be lossless including a tension force(T), damping coefficient(C) and stiffness of foundation($k_s$) will be employed. The non-dimensional sound power is derived through integration of the surface intensity distribution over the entire curved beam. The expression for sound power is integrated numerically and the results are examined as a function of wavenumber ratio($\gamma$) and stiffness factor($\psi$).

  • PDF