• 제목/요약/키워드: changes in natural frequencies

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Aeroelastic Behaviour of Aerospace Structural Elements with Follower Force: A Review

  • Datta, P.K.;Biswas, S.
    • International Journal of Aeronautical and Space Sciences
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    • 제12권2호
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    • pp.134-148
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    • 2011
  • In general, forces acting on aerospace structures can be divided into two categories-a) conservative forces and b) nonconservative forces. Aeroelastic effects occur due to highly flexible nature of the structure, coupled with the unsteady aerodynamic forces, causing unbounded static deflection (divergence) and dynamic oscillations (flutter). Flexible wing panels subjected to jet thrust and missile type of structures under end rocket thrust are nonconservative systems. Here the structural elements are subjected to follower kind of forces; as the end thrust follow the deformed shape of the flexible structure. When a structure is under a constant follower force whose direction changes according to the deformation of the structure, it may undergo static instability (divergence) where transverse natural frequencies merge into zero and dynamic instability (flutter), where two natural frequencies coincide with each other resulting in the amplitude of vibration growing without bound. However, when the follower forces are pulsating in nature, another kind of dynamic instability is also seen. If certain conditions are satisfied between the driving frequency and the transverse natural frequency, then dynamic instability called 'parametric resonance' occurs and the amplitude of transverse vibration increases without bound. The present review paper will discuss the aeroelastic behaviour of aerospace structures under nonconservative forces.

병진 가속도 운동을 하는 외팔평판의 진동해석 (Vibration Analysis of Cantilever Plates Undergoing Translationally Accelerated Motion)

  • 김성균;유홍희
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.349-354
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    • 2001
  • A structure which is accelerated in the chordwise direction induces variation of the bending stiffness due to inertia force. Thus, the characteristic of natural vibration is also changed. This paper presents a modeling method for the vibration analysis of translationally accelerated cantilever plates. The dependence of natural frequencies and modes on the acceleration changes of the plate is investigated. Particularly, a natural frequency loci veering is observed and discussed in the present study.

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끝단에 스프링과 질량을 가진 단진보의 자유진동해석 (Free Vibration Analysis of a Stepped Cantilever Beam with a Mass and a Spring at the End)

  • 유춘성;홍동표;정태진;정길도
    • 대한기계학회논문집A
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    • 제20권9호
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    • pp.2812-2818
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    • 1996
  • A cantilever beam with a mass and a spring at the end can be use to model a miniature flexible arm. It is necessary to know the natural frequencies and mode shapes to discuss its free vibration, especially when modal analysis is employed. A beam is clamped-free. In this paper we look at the lateral vibration of beams that have step changes in the properties of their cross sections. The frequency equation is derived by Bernoulli-Euler formulation and is sloved by the separation of variable. The parameters of the beam, 'mass and spring stiffness' are defined as nondimensionalized parameters for wide application of the results. According to the change of eigenvalues and mode shape are presented for this beam. The results presented are the eigenvalues and the natural frequencies for the first three modes of vibration. Results show that the parameters have a significant effect on the natural frequency.

Mode localization and veering of natural frequency loci in two circular plates coupled with a fluid

  • Jeong, Kyeong-Hoon
    • Structural Engineering and Mechanics
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    • 제22권6호
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    • pp.719-739
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    • 2006
  • An analytical method for the free vibration of two circular plates coupled with an inviscid and compressible fluid is developed by the Rayleigh-Ritz method. The fluid is bounded by a rigid cylindrical vessel and two circular plates with an unequal thickness and diameter. It was found that the theoretical results could predict well the fluid-coupled natural frequencies with an excellent accuracy when compared with the finite element analysis results. As the fluid thickness increases or the plate thickness difference increases, an abrupt curve veering in the natural frequency loci of the neighboring modes and drastic changes in the corresponding mode shapes are observed. The mode localization frequently appears in the higher modes and in the wide gap between the plates because of a decrease in the fluid coupling owing to the fluid dispersion effect.

능동보의 고유진동수 계산을 위한 휘트릭-윌리엄즈 알고리듬의 유도 (Formulation of a Wittrick-Williams Algorithm for Computing Natural Frequencies of an Active Beam)

  • 김주홍;이우식
    • 한국전산구조공학회논문집
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    • 제15권4호
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    • pp.579-589
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    • 2002
  • 구조물의 고유진동수가 너무 밀집되어 있거나 특성방정식의 부호가 영을 지나지 않고 갑자기 무한대가 되는 등의 불연속성이 존재하는 주파수 대역에 속해있는 고유진동수를 단순히 근을 찾는 수치해석 알고리듬만을 이용하여 모두 찾아내어 계산한다는 것은 그다지 쉬운 일이 아니다. 따라서, 본 연구에서는 이러한 문제점을 극복할 수 있는 휘트릭-월리엄즈 알고리듬을 탄성재층과 압전소자재층의 두개의 층이 적층되어 구성된 능동보의 스펙트럴요소모델에 대하여 유도하였다 유도된 알고리듬은 균일적층 능동보와 부분적층 능동보의 두 경우에 적용하여 그 결과를 평가하였다.

구조물 진동.소음의 수치해석시 최적 요소크기는 .lambda./4이다. (Optimum mesh size of the numerical analysis for structural vibration and noise prediction)

  • 김정태;강준수
    • 대한기계학회논문집A
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    • 제21권11호
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    • pp.1950-1956
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    • 1997
  • An engineering goal in vibration and noise professionals is to develope quiet machines at the preliminary design stage, and various numerical techniques such as FEM, SEA or BEM are one of the schemes toward the goal. In this paper, the research has been focused on the sensitivity effect of mesh sizes for FEM application so that the optimum size of the mesh that leads to engineering solution within acceptable computing time could be generated. In order to evaluate the mesh size effect, three important parameters have been examined : natural frequencies, number of modes and driving point mobility. First, several lower modes including the fundamental frequency of a 2-D plate structure have been calculated as mesh size changes. Since theoretical values of natural frequencies for a simple structure are known, the deviation between the numerical and theoretical values is obtained as a function of mesh size. The result shows that the error is no longer decreased if the mesh size becomes a quarter wavelength or smaller than that. Second, the mesh size effect is also investigated for the number of modes. For the frequency band up to 1.4 kHz, the structure should have 38 modes in total. As the mesh size reaches to the quarter wavelength, the total count in modes approaches to the same values. Third, a mobility function at the driving point is compared between SEA and FEM result. In SEA application, the mobility function is determined by the modal density and the mass of the structure. It is independent of excitation frequencies. When the mobility function is calculated from a wavelength to one-tenth of it, the mobility becomes constant if the mesh becomes a quarter wavelength or smaller. We can conclude that dynamic parameters, such as eigenvalues, mode count, and mobility function, can be correctly estimated, while saving the computing burden, if a quarter wavelength (.lambda./4) mesh is used. Therefore, (.lambda./4) mesh is recommended in structural vibration analysis.

선체 저차 상하고유진동 감도해석 (Sensitivity Analysis of Vortical Hull Girder Vibration)

  • 조대승;김사수
    • 대한조선학회논문집
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    • 제35권3호
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    • pp.54-61
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    • 1998
  • 본 논문에서는 보유추 이론을 적용하여 초기 설계된 선체거더에 대한 상하 고유진동해석을 수행함과 동시에 설계변수 변경에 따른 고유진동수 및 고유모드의 변화율을 계산하는 감도해석방법을 활용하여 설계변경 또는 적화상태 변화시의 선체 고유진동 특성을 신속하게 예측할 수 있는 방법을 제시하였다. 이때, 이산화 해석방법은 전달행렬법을 적용하였으며, 설계변수로는 각 이산화 요소의 선체 중량, 2차원 부가수질량 및 동 3차원 수정계수, 유효굽힘강성 등으로 설정하였다. 감도해석 결과를 이용하여 중형 광석/살물운반선의 적화상태 변경시의 고유진동수를 추정한 결과는 통상적 재해석 결과와 비교하여 오차 2%이내의 매우 양호한 부합성을 나타내었다.

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Finite element model updating of in-filled RC frames with low strength concrete using ambient vibration test

  • Arslan, Mehmet Emin;Durmus, Ahmet
    • Earthquakes and Structures
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    • 제5권1호
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    • pp.111-127
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    • 2013
  • This paper describes effects of infill walls on behavior of RC frame with low strength, including numerical modeling, modal testing and finite-element model updating. For this purpose full scaled, one bay and one story RC frame is produced and tested for plane and brick in-filled conditions. Ambient-vibration testis applied to identify dynamic characteristics under natural excitations. Enhanced Frequency Domain Decomposition and Stochastic Subspace Identification methods are used to obtain experimental dynamic characteristics. A numerical modal analysis is performed on the developed two-dimensional finite element model of the frames using SAP2000 software to provide numerical frequencies and mode shapes. Dynamic characteristics obtained by numerical and experimental are compared with each other and finite element model of the frames are updated by changing some uncertain modeling parameters such as material properties and boundary conditions to reduce the differences between the results. At the end of the study, maximum differences in the natural frequencies are reduced on average from 34% to 9% and a good agreement is found between numerical and experimental dynamic characteristics after finite-element model updating. In addition, it is seen material properties are more effective parameters in the finite element model updating of plane frame. However, for brick in-filled frame changes in boundary conditions determine the model updating process.

다단계 긴장 PSC 거더 철도교량의 고유진동수 및 감쇠비 평가를 위한 동적실험 (Dynamic Experiments of the Incrementally Prestressed Concrete Girder Railway Bridge for Evaluation of Natural Frequencies and Damping Ratios)

  • 김성일;조재열;여인호;이희업;방춘석
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2006년도 춘계학술발표회 논문집(I)
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    • pp.98-101
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    • 2006
  • As an alternative of conventional prestressed concrete (PSC) girders, various types of PSC girders are being developed and applied in bridge structures. Incrementally prestressed concrete girder is one of these newly developed girders. According to design concept, these new types of PSC girders have considerable advantages to reduce their self-weight and make spans longer. However, dynamic interaction between bridge superstructures and passing trains would be sometimes one of critical issues in these more flexible railway bridges. Therefore, it is very important to evaluate modal parameters of newly designed bridges before conducting dynamic analyses. In the present paper, a 25 meters long full scale PSC girder was fabricated as a test specimen and modal testing was carried out to evaluate modal parameters including natural frequencies and modal damping ratios at every prestressing stage. In the modal testing, a digitally controlled vibration exciter as well as an impact hammer is applied to obtain frequency response functions more exactly and the modal parameters are evaluated varying with construction stages. Prestressed force effects on changes of modal parameters are analyzed at every incremental prestressing stage.

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Hybrid vibration-impedance monitoring in prestressed concrete structure with local strand breakage

  • Dang, Ngoc-Loi;Pham, Quang-Quang;Kim, Jeong-Tae
    • Smart Structures and Systems
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    • 제30권5호
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    • pp.463-477
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    • 2022
  • In this paper, a hybrid vibration-impedance-based damage monitoring approach is experimentally evaluated for prestressed concrete (PSC) structures with local strand breakage. Firstly, the hybrid monitoring scheme is designed to alert damage occurrence from changes in vibration characteristics and to localize strand breakage from changes in impedance signatures. Secondly, a full-scale PSC anchorage is experimented to measure global vibration responses and local impedance responses under a sequence of simulated strand-breakage events. Finally, the measured data are analyzed using the hybrid monitoring framework. The change of structural condition (i.e., damage extent) induced by the local strand breakage is estimated by changes in a few natural frequencies obtained from a few accelerometers in the structure. The damaged strand is locally identified by tomography analysis of impedance features measured via an array of PZT (lead-zirconate-titanate) sensors mounted on the anchorage. Experimental results demonstrate that the strand breakage in the PSC structure can be accurately assessed by using the combined vibration and impedance features.