• Title/Summary/Keyword: 고유진동 해석

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Distribution of Natural Frequency of 2-DOF Approximate Model of Stay Cable to Reduction of Area (단면감소에 따른 사장케이블의 2-자유도 근사모델의 고유진동수 분포)

  • Joe, Yang-Hee;Lee, Hyun-Chol
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.18 no.6
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    • pp.147-154
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    • 2014
  • The cable damages of the bridge structures induce very important impact on the structural safety, which implies the close monitoring of the cable damage is required to secure sustained safety of the bridges. Most usual available maintenance techniques are based on the monitoring the change of the natural frequency of the structures by damages. However, existing method are based on vibration method to calculate lateral vibration and system identification can calculate the axial stiffness using sensitivity equation by trial error method. But the frequency study by the longitudinal movement need because of the sag effect in system identification. This study proposes a new method to investigate the damage magnitudes and status. The method improves the accuracies in the magnitudes and status of damages by adopting the natural frequency of longitudinal movement. The study results have been validated by comparing them with the approximate solution of FEM. Thus, the relationship of cable damage and frequency appear with relation that the severe damage has the little frequency. If we know the real frequency we can estimate the cable damage severity using this relationship. This method can be possible the efficient management of the cable damage.

Free Vibrations of Linearly Tapered I-Beams (선형(線形) 변단면(變斷面) I-형(型) 부재(部材)의 자유진동(自由振動))

  • Lee, Yong Woo;Min, Kyung Ju
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.5
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    • pp.1023-1031
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    • 1994
  • The closed forms of consistent mass matrix with rotational inertia matrix are developed for free vibration analysis in space sutructures containing linearly tapered members with cross section of thin-walled I-sections. The exact displacement functions are used for formulating mass matrices. The very small slopes of the tapered member are used in usual practice, such that the series expansion forms of these are also developed to avoid numerical failure in vibration analysis. Significant improvements of accuracy and efficiency of free vibation analysis are achieved by using the mass matrices developed in this study. Frequencies of free vibation of tapered members are compared with solutions based upon stepped representation of beam element in the ANSYS. The mass matrices presented in this study can be used for the free vibration analysis of tapered and prismatic members.

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Free Torsional Vibration of Linearly Tapered I-Beams (선형(線形) 변단면(變斷面) I-형(型) 보의 비틂진동(振動))

  • Lee, Yong Woo;Min, Kyung Ju
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.5
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    • pp.1013-1021
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    • 1994
  • The stiffness and mass matrices are developed for free torsional vibration analysis in linearly tapered thin-walled I-beams that takes into account the effect of warping torsion. The approximate shape functions are used for formulating stiffness and mass matrices. Significant improvements of accuracy and efficiency of free vibration analysis are achieved by using the stiffness and mass matrices developed in this study. Frequencies of free vibration of tapered members are compared with solutions based upon stepped representation of beam element and also are verified with model tests. The stiffness and mass matrices presented in this study can be used for the free vibration analysis of tapered and prismatic thin walled I-beams and space structures involving warping torsion.

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The Influence of the Loading Sizes on Natural Frequency of the Advanced Composite Material Structures (복합신소재구조물의 고유진동수에 대한 하중크기의 영향)

  • Han, Bong Koo
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.17 no.3
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    • pp.20-27
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    • 2013
  • Simple Iteration Method for calculating the natural frequency is presented in this paper. This method is simple but exact method of calculating natural frequencies corresponding to the modes of vibration of beams and tower structures with irregular cross sections and arbitrary boundary conditions. This method consists of determining the deflected mode shape of the member due to the inertia force under resonance condition. Finite difference method is used for this purpose. The influence of the $D_{22}$ stiffness on the natural frequency is rigorously investigated. In this paper, the influence of the loading sizes, different cross section on the natural frequency of vibration of some structural elements is presented. This method extends to two dimensional problems including advanced composite material structures.

Topology Optimization of a Vibrating System of Rigid and Flexible Bodies for Maximizing Repeated Eigenfrequencies (중복 고유 진동수를 갖는 진동하는 강체-유연체 계의 위상최적설계)

  • Ahn, Byungseong;Kim, Suh In;Kim, Yoon Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.4
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    • pp.363-372
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    • 2016
  • When a system consisting of rigid and flexible bodies is optimized to improve its dynamic characteristics, its eigenfrequencies are typically maximized. While topology optimization formulations dealing with simultaneous design of a system of rigid and flexible bodies are available, studies on eigenvalue maximization of the system are rare. In particular, no work has solved for the case when the target frequency becomes one of the repeated eigenfrequencies. The problem involving repeated eigenfrequencies is solved in this study, and a topology optimization formulation and sensitivity analysis are presented. Further, several numerical case studies are considered to demonstrate the validity of the proposed formulation.

A Study on the Analysis of the Natural Frequencies and the Development of the Simplified Formulas for Bellows (벨로스의 고유진동수 해석 및 간이식 개발에 관한 연구)

  • 이영신;윤기석;김태완
    • Journal of KSNVE
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    • v.9 no.2
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    • pp.331-339
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    • 1999
  • This paper presents the simplified formulas for calculating the fundamental frequencies of the cantilevered bellows in the axial and lateral directions. The frequencies of the bellow are evaluated based on analogies with those of the beam. It is shown that the results calculated by the simplified formulas are in good agreement with those obtained from FEM analysis and the experiment.

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Earthquake Analysis of Dam Floodgate Using Calibrated Added Mass (보정된 부가질량을 이용한 댐 수문의 지진해석)

  • Bea, Jung-Ju;Kim, Ho-Seung;Kim, Yong-Gon;Lee, Jee-Ho
    • Journal of the Earthquake Engineering Society of Korea
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    • v.13 no.5
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    • pp.31-40
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    • 2009
  • In this paper, a trial-error based method is presented to calibrate added mass models through numerical iterations minimizing the difference between the measured frequency data and its numerical simulation result for a dam floodgate. Earthquake analysis of the real floodgate for which the on-site hammering vibration test is performed show that the classical Westergaard added mass model gives relatively larger values in the maximum earthquake force and the maximum total displacement than the present added mass model, based on the calibration of on-site measurement data.

Free Vibration Analysis of Monosymmetric Thin-walled Circular Curved Beam (일축대칭 단면을 갖는 박벽 원형 곡선보의 자유진동 해석)

  • 장승필;김문영;민병철
    • Journal of the Earthquake Engineering Society of Korea
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    • v.2 no.2
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    • pp.57-68
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    • 1998
  • For free vibration of monosymmetric thin-walled circular arches including restrained warping effect, the elastic strain and kinetic energy is derived by introducing displacement fields of circular arches in which all displacement parameters are defined at the centroid axis. The cubic Hermitian polynomials are utilized as shape functions for development of the curved thin-walled beam element having eight degrees of freedom. Analytical solution for free vibration behaviors of simply supported thin-walled curved beam element is presented by evaluating elastic stiffness and mass matrices. In order to illustrate the accuracy and practical usefulness of this study, analytical and numerical solutions for free vibration of circular arches are presented and compared with solutions analyzed by the FEM using straight beam element.

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Vibration Analysis of the Sensor Control Box Applied to a Commercial Brake Chamber Real-time Monitoring System (브레이크 챔버의 실시간 모니터링 시스템에 적용되는 센서 컨트롤 박스의 진동 해석에 관한 연구)

  • Taekju Hwang;Kyungmin Jum;Soonsik Myung;Hyunbum Park
    • Journal of Aerospace System Engineering
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    • v.18 no.3
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    • pp.65-69
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    • 2024
  • This study aimed to analyze the structural integrity of a sensor control box, a critical component for real-time monitoring of brake chamber pressure in large commercial vehicles and trailers. We utilized the computational analysis program ANSYS Workbench R2021 based on our testing conditions and vibration test specification KS R1034. Through modal analysis, we identified resonance frequencies within the frequency range of 5 Hz to 100 Hz and compared results in the frequency range of 33 Hz to 67 Hz using harmonic analysis.

A Modal Analysis Technique for Large Structural Systems (대형구조물의 모우드 해석방법)

  • Lee, ln Won;Lee, Chong Won;Jung, Gil Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.5
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    • pp.77-83
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    • 1993
  • A modified Lanczos method combined with a substructure analysis technique was used for calculating natural frequencies and mode shapes of large structural systems. The method does not require generation and storage of stiffness and mass matrices of the entire structure. It only uses the stiffness and mass matrices of each substucture. No approximating assumptions are required other than the usual assumption of linear elastic system modelled by finite elements. Thus, natural frequencies and mode shapes for the finite element model employed are the same as those with or without the suhstructuring algorithm. To check the efficiency of the proposed method, first ten natural frequencies and the corresponding mode shapes of an open truss helicopter tail-boom structure are calculated by using it.

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