• Title/Summary/Keyword: beam transformation

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Sound Radiation Analysis for Structure Vibration Noise Control of Vehicle Tire under The Action of Random Moving Line Forces (불규칙 이동분포하중을 받는 차량 타이어의 구조 진동소음 제어를 위한 음향방사 해석)

  • Kim Byoung-sam
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.221-224
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    • 2004
  • A theoretical model has been studied to describe the sound radiation analysis for structure vibration noise of vehicle tires under the action of random moving line forces. When a tire is analyzed, it had been modeled as curved beams with distributed springs and dash pots that represent the radial , tangential stiffness and damping of tire, respectively. 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 and to be axially infinite. The curved beam material and elastic foundation are assumed to be lossless Bernoulli-Euler beam theory including a tension force, damping coefficient and stiffness of foundation will be employed. The expression for sound power is integrated numerically and the results examined as a function of Mach number, wave-number ratio and stiffness factor. The experimental investigation for structure vibration noise of vehicle tire under the action of random moving line forces has been made. Based on the Spatial Transformation of Sound Field techniques, the sound power and sound radiation are measured. Results strongly suggest that operation condition in the tire material properties and design factors of the tire govern the sound power and sound radiation characteristics.

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Study on modified differential transform method for free vibration analysis of uniform Euler-Bernoulli beam

  • Liu, Zhifeng;Yin, Yunyao;Wang, Feng;Zhao, Yongsheng;Cai, Ligang
    • Structural Engineering and Mechanics
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    • v.48 no.5
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    • pp.697-709
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    • 2013
  • A simulation method called modified differential transform is studied to solve the free vibration problems of uniform Euler-Bernoulli beam. First of all, the modified differential transform method is derived. Secondly, the modified differential transformation is applied to uniform Euler-Bernoulli beam free-free vibration. And then a set of differential equations are established. Through algebraic operations on these equations, we can get any natural frequency and normalized mode shape. Thirdly, the FEM is applied to obtain the numerical solutions. Finally, mode experimental method (MEM) is conducted to obtain experimental data for analysis by signal processing with LMS Test.lab Vibration testing and analysis system. Experimental data and simulation results are illustrated to be in comparison with the analytical solutions. The results show that the modified differential transform method can achieve good results in predicting the solution of such problems.

Dynamic Characteristics of a Finite Beam Subjected to an Axial Force and Moving Loads with Constant Acceleration (일정가속도(一定加速度)의 이동하중(移動荷重)과 축하중(軸荷重)이 작용(作用)하는 유한(有限)보의 동특성(動特性))

  • Hong, Dong Pyo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.2 no.3
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    • pp.67-74
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    • 1982
  • The dynamic behaviour of an elastically supported finite beam subjected to an axial force and moving loads with acceleration is investigated. Within the Euler beam theory the solutions are obtained by using finite Fourier and Laplace transformation methods with respect to space and time variable. Integrations involved in the theoretical results are carried out by Simpson's rule. From the results of the theoretical analysis, it is evident that dynamic behaviour of the beam are affected remarkably by acceleration and axial force.

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Dynamic stiffness approach and differential transformation for free vibration analysis of a moving Reddy-Bickford beam

  • Bozyigit, Baran;Yesilce, Yusuf
    • Structural Engineering and Mechanics
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    • v.58 no.5
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    • pp.847-868
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    • 2016
  • In this study, the free vibration analysis of axially moving beams is investigated according to Reddy-Bickford beam theory (RBT) by using dynamic stiffness method (DSM) and differential transform method (DTM). First of all, the governing differential equations of motion in free vibration are derived by using Hamilton's principle. The nondimensionalised multiplication factors for axial speed and axial tensile force are used to investigate their effects on natural frequencies. The natural frequencies are calculated by solving differential equations using analytical method (ANM). After the ANM solution, the governing equations of motion of axially moving Reddy-Bickford beams are solved by using DTM which is based on Finite Taylor Series. Besides DTM, DSM is used to obtain natural frequencies of moving Reddy-Bickford beams. DSM solution is performed via Wittrick-Williams algorithm. For different boundary conditions, the first three natural frequencies that calculated by using DTM and DSM are tabulated in tables and are compared with the results of ANM where a very good proximity is observed. The first three mode shapes and normalised bending moment diagrams are presented in figures.

MICROSTRUCTURE AND MECHANICAL STRENGTH OF SURFACE ODS TREATED ZIRCALOY-4 SHEET USING LASER BEAM SCANNING

  • Kim, Hyun-Gil;Kim, Il-Hyun;Jung, Yang-Il;Park, Dong-Jun;Park, Jeong-Yong;Koo, Yang-Hyun
    • Nuclear Engineering and Technology
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    • v.46 no.4
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    • pp.521-528
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    • 2014
  • The surface modification of engineering materials by laser beam scanning (LBS) allows the improvement of properties in terms of reduced wear, increased corrosion resistance, and better strength. In this study, the laser beam scan method was applied to produce an oxide dispersion strengthened (ODS) structure on a zirconium metal surface. A recrystallized Zircaloy-4 alloy sheet with a thickness of 2 mm, and $Y_2O_3$ particles of $10{\mu}m$ were selected for ODS treatment using LBS. Through the LBS method, the $Y_2O_3$ particles were dispersed in the Zircaloy-4 sheet surface at a thickness of 0.4 mm, which was about 20% when compared to the initial sheet thickness. The mean size of the dispersive particles was 20 nm, and the yield strength of the ODS treated plate at $500^{\circ}C$ was increased more than 65 % when compared to the initial state. This strength increase was caused by dispersive $Y_2O_3$ particles in the matrix and the martensite transformation of Zircaloy-4 matrix by the LBS.

Locking-free Straight Beam Element by a Modified Transverse Displacement Field (수정 횡변위장에 의한 강성과잉이 없는 직선 보 요소)

  • 이팔갑;신효철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.12
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    • pp.2287-2297
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    • 1992
  • The Formulation of a new Hermite straight beam element to eliminate the shear locking is presented. All the kinematic variables in Timoshenko beam are reinterpreted by the consideration of equilibrium equations together. It shows that when the modified transverse displacement field is used the Timoshenko beam looks apparently the same as the Euler beam. The element is formulated for the modified transverse displacement field to have the same interpolation scheme as that in the Hermite element. Transformation Matrix which relates a modified nodal vector with nonmodified one is also introduced to deal with general boundary conditions. Several examples are demonstrated and discussed for the purpose of verification of the concepts employed. The solutions obtained reveal that the element describes of the beam quite correctly, showing no locking and that it is also applicable to the analysis of both thin and thick beams.

Study on Vibration Characteristics in Terms of Airfoil Cross-Sectional Shape by using Co-Rotational Plane Beam Transient Analysis (Co-Rotational 보의 과도상태해석을 이용한 에어포일 단면 형상 변화에 따른 진동특성 연구)

  • Kim, Se-Ill;Kim, Yong-Se;Park, Chul-Woo;Shin, Sang Joon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.5
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    • pp.389-395
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    • 2016
  • In this paper, vibration characteristics in terms of the airfoil cross-sectional shape was examined by using the EDISON co-rotational plane beam-transient analysis. Co-Rotational plane beam analysis is appropriate for large rotation and small strain. Assuming aircraft wing as a cantilevered beam, natural frequencies of each airfoil cross-sectional shape were estimated using VABS program and fast Fourier transformation(FFT). VABS conducts finite element analysis on the cross-section including the detailed geometry and material distribution to estimate the beam sectional properties. Under the same airfoil geometric configuration and material selection, variation of material induced difference in the deflection and natural frequencies. It was observed that variation of the natural frequency was dependent on variation of the airfoil shape and material.

Shear Behavior Prediction of Reinforced Concrete Beams by Transformation Angle Truss Model Considered Bending Moment Effect (휨모멘트 효과가 고려된 변환각 트러스 모델에 의한 철근콘크리트 보의 전단거동 예측)

  • 김상우;이정윤
    • Journal of the Korea Concrete Institute
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    • v.14 no.6
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    • pp.910-921
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    • 2002
  • For the prediction of shear behavior of reinforced concrete beams, this paper proposed Transformation Angle Truss Model (TATM) considered bending moment effect. Shear stress-strain relationship obtained from the TATM was agreed well with test results conducted by this study Further, shear strength obtained from the TATM was compared to the experimentally observed results of 170 reinforced concrete beams which had various shear span ratios shapes of support and shapes of cross section. The shear strength of reinforced concrete beams obtained from test was better predicted by the TATM with 0.96 in average and 11.9% in coefficient of variation than by other truss models. And the ratio of experimental results to theoretical results obtained from the TATM was almost constant regardless of the η and a/d.

BWIM Using Measured Acceleration and Strain Data

  • Paik, In-Yeol;Lee, Seon-Dng;Shin, Soo-Bong
    • Journal of the Korean Society for Nondestructive Testing
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    • v.31 no.3
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    • pp.233-245
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    • 2011
  • A new BWIM(bridge weigh-in-motion) algorithm using both measured strain and acceleration data is proposed. To consider the effects of bridge vibration on the estimation of moving loads, the dynamic governing equation is applied with the known stiffness and mass properties but damping is ignored. Dynamic displacements are computed indirectly from the measured strains using the beam theory and accelerations are measured directly by accelerometers. To convert a unit moving load to its equivalent nodal force, a transformation matrix is determined. The incompleteness in the measured responses is considered in developing the algorithm. To examine the proposed BWIM algorithm, simulation studies, laboratory experiments and field tests were carried. In the simulation study, effects of measurement noise and estimation error in the vehicle speed on the results were investigated.

Process Effect on the RMS Roughness of CuInSe2 Thin Films Grown by MOMBE

  • Ko, Young-Don;Moon, Pyung;Yun, Il-Gu;Ham, Moon-Ho;Myoung, Jae-Min
    • Transactions on Electrical and Electronic Materials
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    • v.8 no.2
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    • pp.58-66
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    • 2007
  • In this paper, the process effect on the RMS roughness of the $HfO_2$ thin films grown by metal organic molecular beam epitaxy was investigated. The measured RMS roughness is examined to characterize the surface morphology. In order to analyze the factor effects, the significant factors of both the main and the interaction effects were extracted through the effect analysis. In order to compare the regression model with the variable transformation, the effect of each factor and the model efficiency are calculated. The methodology can allow us to analyze the effects between the process parameters related to the process variability.