• Title/Summary/Keyword: Rotating Beam

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A hybrid conventional computer simulation via GDQEM and Newmark-beta techniques for dynamic modeling of a rotating micro nth-order system

  • Fan, Linyuan;Zhang, Xu;Zhao, Xiaoyang
    • Advances in nano research
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    • v.12 no.2
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    • pp.167-183
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    • 2022
  • In this paper, the free and forced vibration analysis of rotating cantilever nanoscale cylindrical beams and tubes is investigated under the external dynamic load to examine the nonlocal effect. A couple of nonlocal strain gradient theories with different beams and tubes theories, involving the Euler-Bernoulli, Timoshenko, Reddy beam theory along with the higher-order tube theory, are assumed to the mathematic model of governing equations employing the Hamilton principle in order to derive the nonlocal governing equations related to the local and accurate nonlocal boundary conditions. The two-dimensional functional graded material (2D-FGM), made by the axially functionally graded (AFG) in conjunction with the porosity distribution in the radial direction, is considered material modeling. Finally, the derived Partial Differential Equations (PDE) are solved via a couple of the generalized differential quadrature element methods (GDQEM) with the Newmark-beta techniques for the time-dependent results. It is indicated that the boundary conditions equations play a crucial task in responding to nonlocal effects for the cantilever structures.

Flexural-Torsional Coupled Vibration of Slewing Beams Using Various Types of Orthogonal Polynomials

  • Kapania Rakesh K.;Kim, Yong-Yook
    • Journal of Mechanical Science and Technology
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    • v.20 no.11
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    • pp.1790-1800
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    • 2006
  • Dynamic behavior of flexural-torsional coupled vibration of rotating beams using the Rayleigh-Ritz method with orthogonal polynomials as basis functions is studied. Performance of various orthogonal polynomials is compared to each other in terms of their efficiency and accuracy in determining the required natural frequencies. Orthogonal polynomials and functions studied in the present work are: Legendre, Chebyshev, integrated Legendre, modified Duncan polynomials, the special trigonometric functions used in conjunction with Hermite cubics, and beam characteristic orthogonal polynomials. A total of 5 cases of beam boundary conditions and rotation are studied for their natural frequencies. The obtained natural frequencies and mode shapes are compared to those available in various references and the results for coupled flexural-torsional vibrations are especially compared to both previously available references and with those obtained using NASTRAN finite element package. Among all the examined orthogonal functions, Legendre orthogonal polynomials are the most efficient in overall CPU time, mainly because of ease in performing the integration required for determining the stiffness and mass matrices.

Using of Transfer Matrix for Shaft Element and Vibration Analysis (회전축요소의 전달행렬의 이용과 진동해석)

  • 전오성
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.2
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    • pp.161-169
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    • 2002
  • Based on the analytic expression for the elasto-dynamic behavior of rotating shaft, the transfer matrix is formulated for the shaft element with uniform cross-section. Timoshenko beam theory is Introduced for modeling the behavior of shaft. Complex variables representing the displacement, slope, moment and shear force are used for deriving the transfer matrix between both ends of the shaft element. Simulation result obtained by applying the transfer matrix to a general rotor model is compared with the reference result and proved to be exact. Natural frequencies and the corresponding modes are analyzed with varying the bearing: stiffness. The generally used bearings are considered for discussions. and the bearing stiffness is shown to affect the vibration characteristics of rotor.

Active Vibrational Control of Pretwisted Rotating Composite Beams (초기 비틀림각을 갖는 복합재료 회전보의 능동진동제어)

  • O, Sang-Yong;Song, O-Seop
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.11a
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    • pp.667-673
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    • 2000
  • A number of issues related with the vibrational behavior of pretwisted rotating beams featuring anisotropic properties and incorporating adaptive capabilities are considered in this paper. The adaptive capabilities are provided by a system of piezoactuators bonded or embedded into the structure. Based on the converse piezoelectric effect and on the out of phase activation, boundary control moments are pizoelectrically induced at the beam tip. A feedback control law relating the induced bending moments with the kinematical response quantities appropriately selected is used, and its beneficial effects, considered in conjunction with that of the beam anisotropy and structural pretwist upon the eigenvibration characteristics are highlighted

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Comparison of simplified model and FEM model in coupled analysis of floating wind turbine

  • Kim, Byoung Wan;Hong, Sa Young;Sung, Hong Gun;Hong, Seok Won
    • Ocean Systems Engineering
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    • v.5 no.3
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    • pp.221-243
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    • 2015
  • This paper compares simplified and finite element method (FEM) models for tower and blade in dynamic coupled analysis of floating wind turbine. A SPAR type wind turbine with catenary mooring lines is considered in numerical analysis. Floating body equation is derived using boundary element method (BEM) and convolution. Equations for mooring line, tower and blade are formulated with theories of catenary, elastic beam and aerodynamic rotating beam, respectively and FEM is applied in the formulation. By combining the equations, coupled solutions are calculated. Tower or blade may be assumed rigid or lumped body for simplicity in modeling. By comparing floating body motions, mooring line tensions and tower stresses with the simple model and original FEM model, the effect of including or neglecting elastic, rotating and aerodynamic behavior of tower and blade is discussed.

Multiplexed hologram storage in Dupont photopolymers (DuPont 포토폴리머를 이용한 다중 홀로그램 저장)

  • 이선균;손창원;최경희;정선주;김중표;임기수;이재봉
    • Korean Journal of Optics and Photonics
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    • v.13 no.5
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    • pp.390-395
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    • 2002
  • We studied 100 ${\mu}{\textrm}{m}$ DuPont photopolymers (HRF-150-100) for characteristics of hologram formation and shrinkage at 514 nm with various grating spacings and light intensities. For combinations of rotational and angular multiplexings, we employed two different techniques by rotating the photopolymer and the reference beam. We also performed shift-rotational multilpexing with the rotating reference beam.

Bending and buckling of spinning FG nanotubes based on NSGT

  • Zhang, Liang;Ko, Tzu-Hsing
    • Computers and Concrete
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    • v.30 no.4
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    • pp.243-256
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    • 2022
  • The static analysis of spinning functionally graded (FG) nanotube on the basis of the nonlocal strain gradient theory (NSGT) is presented. The high-order beam theory is employed for mathematical modeling of the tube structures according to the Sinusoidal shear deformation beam theory. The energy conservation principle is operated to generate the equations. The centrifugal force is assumed along the tube length due to the rotating of the tube, moreover, the nanotube is made of functionally graded material (FGM) composed of ceramic and metal phases along the tube radius direction. The generalized differential quadratic method (GDQM) is utilized to solve the formulations. Finally, the numerical results are discussed in detail to examine the impact of different relevant parameters on the bending the buckling behavior of the rotating nanotube.

A Study on the In-Process Measurement of Rotary Body by Optical Technique (광학적 기법을 이용한 회전체 인프로세스 측정에 관한 연구)

  • So, Eui-Yeorl;Im, Young-Ho;Ryu, Bong-Hwan
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.5
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    • pp.148-156
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    • 1996
  • Automatic product system is gradually increasing according to development of industrial society. On-line measurement makes a important role in view of economic and effective side in industrial product system. Syncronization system is developed to measure screw thread which is rotating. In-process measuring of rotating body have a lot of difficuties even thoufht using various method containing high speed camera. So, now we suggest one of the new method which is not so expansive. In this study, digital value was produced through the image processing algorithm from acquired orignal image. As a result, we have a good agreement between measuring values calculated from image conture and measuring values acquired from profile project by means of experiment, respectively.

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Semi-analytical stability behavior of composite concrete structures via modified non-classical theories

  • Luxin He;Mostafa Habibi;Majid Khorami
    • Advances in concrete construction
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    • v.17 no.4
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    • pp.187-210
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    • 2024
  • Cantilever structures demonstrate diverse nonlocal effects, resulting in either stiffness hardening or dynamic softening behaviors, as various studies have indicated. This research delves into the free and forced vibration analysis of rotating nanoscale cylindrical beams and tubes under external dynamic stress, aiming to thoroughly explore the nonlocal impact from both angles. Utilizing Euler-Bernoulli and Reddy beam theories, in conjunction with higher-order tube theory and Hamilton's principle, nonlocal governing equations are derived with precise boundary conditions for both local and nonlocal behaviors. The study specifically examines two-dimensional functionally graded materials (2D-FGM), characterized by axially functionally graded (AFG) and radial porosity distributions. The resulting partial differential equations are solved using the generalized differential quadrature element method (GDQEM) and Newmark-beta procedures to acquire time-dependent results. This investigation underscores the significant influence of boundary conditions when nonlocal forces act on cantilever structures.

Carbon Ion Therapy: A Review of an Advanced Technology

  • Kim, Jung-in;Park, Jong Min;Wu, Hong-Gyun
    • Progress in Medical Physics
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    • v.31 no.3
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    • pp.71-80
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    • 2020
  • This paper provides a brief review of the advanced technologies for carbon ion radiotherapy (CIRT), with a focus on current developments. Compared to photon beam therapy, treatment using heavy ions, especially a carbon beam, has potential advantages due to its physical and biological properties. Carbon ion beams with high linear energy transfer demonstrate high relative biological effectiveness in cell killing, particularly at the Bragg peak. With these unique properties, CIRT allows for accurate targeting and dose escalation for tumors with better sparing of adjacent normal tissues. Recently, the available CIRT technologies included fast pencil beam scanning, superconducting rotating gantry, respiratory motion management, and accurate beam modeling for the treatment planning system. These techniques provide precise treatment, operational efficiency, and patient comfort. Currently, there are 12 CIRT facilities worldwide; with technological improvements, they continue to grow in number. Ongoing technological developments include the use of multiple ion beams, effective beam delivery, accurate biological modeling, and downsizing the facility.