• Title/Summary/Keyword: Vibrational Frequency

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A Structural Eigenderivative Analysis by Modification of Design Parameter (설계파라미터 변경에 따른 구조물의 동특성 변화 해석)

  • Lee, Jeong-Yun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.4
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    • pp.739-744
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    • 2002
  • This study predicts the modified structural eigenvectors and eigenvalues due to the change in the mass and stiffness of a structure by iterative calculation of the sensitivity coefficient using the original dynamic characteristics. The method is applied to examples of a cantilever and 3 degree of freedom lumped mass model by modifing the mass and stillness. The predicted dynamic characteristics are in good agreement with these from the structural reanalysis using the modified mass and stiffness.

Torsional Vibration Characteristics of Nonuniform Circular Rods (불균일 원형 봉의 비틀림 진동 특성)

  • 정형곤;김진오
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.609-616
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    • 2001
  • The vibrational characteristics of nonuniform circular rods have been studied theoretically and experimentally in this paper. The differential equation of torsional motion expressed in terms of the angular displacement has been solved exactly and approximately for a stepped circular rod and for a conically-tapered rod. Solutions of the boundary-value problem have yielded the natural frequencies, mode shapes and forced responses of the rods. The theoretical solutions of forced response have been verified by comparing them with experimental ones.

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Effect of Exhaust Orifice Noise Depending on Stiffener Flange (STIFFENER FLANGE 축소에 따른 배기 토출음 저감)

  • Shin, Y.S.;Han, D.S.;Yi, G.S.;Park, J.S.;Shin, G.C.;Lee, J.B.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.11a
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    • pp.373-378
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    • 2000
  • Recently, it has been important to develop light, silent and less-vibrational automobile. In this study, in order to investigate the characteristics of the noise caused by the main silencer components-stiffener flange, inlet pipe and exhaust pipe etc., computational flow analysis, vibration and noise experiments were performed about the variable heights of the stiffener flange. Flow structure in the mainsilencer which calculated by CFD solver-IDEAS ESC, and frequency response function results of impact hammer test was proposed and it was found good agreement between former results and the exhaust orifice noise measured.

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Dynamic Analysis of Railway Vehicle Using Mathematical Modeling of High-Speed EMU (분산형 고속전철의 34자유도 동역학적 모델링을 통한 철도차량의 동적 특성 해석)

  • Lee, Rae-Min;Lee, Pil-Ho;Lee, Sang-Won;Koo, Ja-Choon;Choi, Yeon-Sun
    • Proceedings of the KSR Conference
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    • 2008.11b
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    • pp.1426-1434
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    • 2008
  • This paper addresses the numerical study on the dynamics of the High-speed EMU to enhance the ride quality. The 17 and 34 degrees-of-freedom (DOF) dynamic models for a single railway vehicle are proposed, and its vibrational characteristics according to the nonuniform rail profile are analyzed via Matlab. The validity of the proposed 34-DOF model are verified by comparing its dynamic characteristics and those from ADAMS/Rail. In addition, the critical dynamic parameters are identified by the parametric analysis, and rough design variables to reduce the vibration level of the railway vehicle are proposed. Finally, the frequency analysis - FFT - are conducted to extract the resonant frequencies, which have a significant influence on the determination of the critical speed of the railway vehicle. It is demonstrated that the results from the Matlab-based numerical analysis of the 34-DOF dynamic model are similar to those from ADAMS/Rail.

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The Importance of Thermodynamic Quantities for the Determination of the Unknown Conformation: Ab initio Studies of$ K^+(H_2O)_3$

  • 이한명;Son, Hyeon S.;민병진
    • Bulletin of the Korean Chemical Society
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    • v.20 no.3
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    • pp.345-351
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    • 1999
  • The structures, the energetics, and the spectra of K+(H2O)3 have been studied at HF and MP2 levels with the basis set of triple-zeta plus two sets of polarization functions (TZ2P) for water molecules. Two structures considered are 3+0 (D3), and 2+1 (C2v). The 2+1 (C2v) has two hydrogen bonds between the primary hydration and the secondary hydration shell water molecules. They have similar binding energy and enthalpy. The most stable conformation of K+(H2O)3 is entropy driven as shown in Na+(H2O)5 and in Na+(H2O)6 cases. The 3+0 (D3) conformation is the most stable at 298 K and at 1 atm, based on Gibbs free energy changes (ΔGr). The thermal contributions to the enthalpy and the Gibbs free energy are corrected for the low frequency modes. The corrected ΔGr is in good agreement with the experimental value. Vibrational frequencies of two conformations are revealed as their characteristics.

Effect of dimensionless nonlocal parameter: Vibration of double-walled CNTs

  • Hussain, Muzamal;Asghar, Sehar;Khadimallah, Mohamed Amine;Ayed, Hamdi;Alghamdi, Sami;Bhutto, Javed Khan;Mahmoud, S.R.;Tounsi, Abdelouahed
    • Computers and Concrete
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    • v.30 no.4
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    • pp.269-276
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    • 2022
  • In this paper, frequency vibrations of double-walled carbon nanotubes (CNTs) has been investigated based upon nonlocal elastic theory. The inference of small scale is being perceived by establishing nonlocal Love shell model. The wave propagation approach has been operated to frame the governing equations as eigen value system. An innovational nonlocal model to examine the scale effect on vibrational behavior of armchair, zigzag and chiral of double-walled CNTs. An appropriate selection of material properties and nonlocal parameter has been considered. The influence of dimensionless nonlocal parameter has been studied in detail. The dominance of end condition via nonlocal parameter is explained graphically. The results generated furnish the evidence regarding applicability of nonlocal shell model and also verified by earlier published literature.

Computational electromechanical approach for stability/instability of smart system actuated with piezoelectric NEMS

  • Luo, Zhonghua;Cheng, Xiaoling;Yang, Yuhan
    • Advances in Computational Design
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    • v.7 no.3
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    • pp.211-227
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    • 2022
  • In this research, the size-dependent impact of an embedded piezoelectric nanoplate subjected to in-plane loading on free vibration characteristic is studied. The foundation is two-parameter viscoelastic. The nonlocal elasticity is employed in order to capture the influence of size of the plate. By utilizing Hamilton's principle as well as the first- order shear deformation theory, the governing equation and boundary conditions are achieved. Then, using Navier method the equations associated with the free vibration of a plate constructed piezoelectric material under in-plane loads are solved analytically. The presented formulation and solution procedure are validated using other papers. Also, the impacts of nonlocal parameter, mode number, constant of spring, electric potential, and geometry of the nanoplate on the vibrational frequency are examined. As this paper is the first research in which the vibration associated with piezoelectric nanoplate on the basis of FSDT and nonlocal elasticity is investigated analytically, this results can be used in future investigation in this area.

Nonlinear finite element vibration analysis of functionally graded nanocomposite spherical shells reinforced with graphene platelets

  • Xiaojun Wu
    • Advances in nano research
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    • v.15 no.2
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    • pp.141-153
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    • 2023
  • The main objective of this paper is to develop the finite element study on the nonlinear free vibration of functionally graded nanocomposite spherical shells reinforced with graphene platelets under the first-order shear deformation shell theory and von Kármán nonlinear kinematic relations. The governing equations are presented by introducing the full asymmetric nonlinear strain-displacement relations followed by the constitutive relations and energy functional. The extended Halpin-Tsai model is utilized to specify the overall Young's modulus of the nanocomposite. Then, the finite element formulation is derived and the quadrilateral 8-node shell element is implemented for finite element discretization. The nonlinear sets of dynamic equations are solved by the use of the harmonic balance technique and iterative method to find the nonlinear frequency response. Several numerical examples are represented to highlight the impact of involved factors on the large-amplitude vibration responses of nanocomposite spherical shells. One of the main findings is that for some geometrical and material parameters, the fundamental vibrational mode shape is asymmetric and the axisymmetric formulation cannot be appropriately employed to model the nonlinear dynamic behavior of nanocomposite spherical shells.

Damage at the Peach Due to Vibrational Stress During Transportation Simulation Test (모의수송 중 진동피로에 의한 복숭아의 손상)

  • Choi, Seung-Ryul;Lee, Young-Hee;Choi, Dong-Soo;Kim, Man-Soo
    • Journal of Biosystems Engineering
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    • v.35 no.3
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    • pp.182-188
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    • 2010
  • Post-Harvest processing engineering is a field that studies prevention of the quality change of agricultural products during sorting, packaging, storage, and distribution after harvested. In distribution steps, agricultural products could be damaged by physical force, it is the main reason of low quality and they lost value of commodities. This study was performed to find the vibration characteristics of the peach, and to find the extent of the damage on the peach by fatigue stress. The vibration data was obtained on expressway and the vibration characteristics of peach was used to find the damage on the peach. To analyze the vibration characteristics of peach, the resonance frequency and vibration transmissibility were measured. The resonance frequency of the peach was 167.98 Hz and the transmissibility was 4.06 at resonance point. It was 150 ~ 250 Hz that the transmissibility was more than 1. And the transmissibility in simulated test was measured. When the trasmissibility was more than 1, the range was 15 ~ 65 Hz, and when it was less than 1, the range was 65 ~ 175 Hz. When the transmissibility was about 1, the range was 5 ~ 15 Hz. The damage and the vibration cycle numbers of peaches were compared with input frequency and acceleration. More damage and less cycle number happened in 30 Hz than in 62.5 Hz. The reason was that the transmissibility of 30 Hz was higher and the vibration displacement in lower frequency was more. The more acceleration and cycle number increased, the more the bruising volume of peaches increased. The bruising volume ratio for vibration fatigue was measured according to input acceleration and cycle number. Using measured data, regression models for bruising volume ratio(BVR) was developed as a function of the acceleration(A) and cycle number(CN) as follows. BVR = a * $A^b*$ $(CN)^c$

Determination of Optimal Accelerometer Locations for Bridges using Frequency-Domain Hankel Matrix (주파수영역 Hankel matrix를 사용한 교량의 가속도센서 최적위치 결정)

  • Kang, Sungheon;Shin, Soobong
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.20 no.4
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    • pp.27-34
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    • 2016
  • A new algorithm for determining optimal accelerometer locations is proposed by using a frequency-domain Hankel matrix which is much simpler to construct than a time-domain Hankel matrix. The algorithm was examined through simulation studies by comparing the outcomes with those from other available methods. To compare and analyze the results from different methods, a dynamic analysis was carried out under seismic excitation and acceleration data were obtained at the selected optimal sensor locations. Vibrational amplitudes at the selected sensor locations were determined and those of all the other degrees of freedom were determined by using a spline function. MAC index of each method was calculated and compared to look at which method could determine more effective locations of accelerometers. The proposed frequency-domain Hankel matrix could determine reasonable selection of accelerometer locations compared with the others.