• 제목/요약/키워드: isotropic response

검색결과 142건 처리시간 0.02초

평판 에어포일 캐스케이드와 입사 난류의 상호작용에 의한 광대역 소음의 모달 음향 파워 특성 (Characteristics of Modal Acoustic Power of Broadband Noise by Interaction of a Cascade of Flat-plate Airfoils with Inflow Turbulence)

  • 정철웅;쥬딕 빈센트;죠셉 필립
    • 한국소음진동공학회논문집
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    • 제18권1호
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    • pp.61-70
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    • 2008
  • This paper investigates the modal acoustic power by a cascade of flat-plate airfoils interacting with homogeneous, isotropic turbulence. Basic formulation for the acoustic power upstream and downstream is based on the analytical theory of Smith and its generalization due to Cheong et al. The acoustic power spectrum has been expressed as the sum of cut-on acoustic modes, whose modal power is the product of three terms: a turbulence series, an upstream or downstream power factor and an upstream or downstream acoustic response function. The effect of these terms in the modal acoustic power has been examined. For isotropic turbulence gust, the turbulent series are only reducing factor of the modal acoustic power. The power factor tends to reduce the modal acoustic power in the upstream direction, although the power factor is liable to increase the modal acoustic power in the downstream direction. The modes close to cut-off are decreasing strongly, especially in the downstream direction. Therefore the modes close to cut-off don't contribute highly to the radiated acoustic power in the downstream direction, although the modal acoustic pressure is high for these modes.

Representation of fundamental solution and vibration of waves in photothermoelastic under MGTE model

  • Rajneesh Kumar;Nidhi Sharma;Supriya Chopra;Anil K. Vashishth
    • Ocean Systems Engineering
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    • 제13권2호
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    • pp.123-146
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    • 2023
  • In this paper, Moore-Gibson-Thompson theory of thermoelasticity is considered to investigate the fundamental solution and vibration of plane wave in an isotropic photothermoelastic solid. The governing equations are made dimensionless for further investigation. The dimensionless equations are expressed in terms of elementary functions by assuming time harmonic variation of the field variables (displacement, temperature distribution and carrier density distribution). Fundamental solutions are constructed for the system of equations for steady oscillation. Also some preliminary properties of the solution are explored. In the second part, the vibration of plane waves are examined by expressing the governing equation for two dimensional case. It is found that for the non-trivial solution of the equation yield that there exist three longitudinal waves which advance with the distinct speed, and one transverse wave which is free from thermal and carrier density response. The impact of various models (i)Moore-Gibson-Thomson thermoelastic (MGTE)(2019), (ii) Lord and Shulman's (LS)(1967) , (iii) Green and Naghdi type-II(GN-II)(1993) and (iv) Green and Naghdi type-III(GN-III)(1992) on the attributes of waves i.e., phase velocity, attenuation coefficient, specific loss and penetration depth are elaborated by plotting various figures of physical quantities. Various particular cases of interest are also deduced from the present investigations. The results obtained can be used to delineate various semiconductor elements during the coupled thermal, plasma and elastic wave and also find the application in the material and engineering sciences.

Static stability and vibration response of rotating carbon-nanotube-reinforced composite beams in thermal environment

  • Ozge Ozdemir;Huseyin Ural;Alexandre de Macedo Wahrhaftig
    • Advances in nano research
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    • 제16권5호
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    • pp.445-458
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    • 2024
  • The objective of this paper is to present free vibration and static stability analyses of rotating composite beams reinforced with carbon nanotubes (CNTs) under uniform thermal loads. Beam structural equations and CNT-reinforced composite (CNTRC) beam formulations are derived based on Timoshenko beam theory (TBT). The temperature-dependent properties of the beam material, such as the elastic modulus, shear modulus, and material density, are assumed to vary over the thickness according to the rule of mixture. The beam material is modeled as a mixture of single-walled carbon nanotubes (SWCNTs) in an isotropic matrix. The SWCNTs are aligned and distributed in the isotropic matrix with different patterns of reinforcement, namely the UD (uniform), FG-O, FG-V, FG- Λ and FG-X distributions, where FG-V and FG- Λ are asymmetric patterns. Numerical examples are presented to illustrate the effects of several essential parameters, including the rotational speed, hub radius, effective material properties, slenderness ratio, boundary conditions, thermal force, and moments due to temperature variation. To the best of the authors' knowledge, this study represents the first attempt at the finite element modeling of rotating CNTRC Timoshenko beams under a thermal environment. The results are presented in tables and figures for both symmetric and asymmetric distribution patterns, and can be used as benchmarks for further validation.

외부접합형 카고메 감쇠시스템을 사용한 철근콘크리트 라멘조 공동주택 비탄성 지진 응답 제어 (Inelastic Seismic Response Control of the RC Framed Apartment Building Structures Using Exterior-Installed Kagome Damping System)

  • 허무원;천영수;이상현
    • 한국구조물진단유지관리공학회 논문집
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    • 제20권3호
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    • pp.58-65
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    • 2016
  • 이 논문은 지진응답을 감소시키기 위해 외부설치형 카고메 감쇠시스템의 유효성을 비선형 동적 해석 결과를 통해 나타내었다. 이전의 연구에 의해 제안된 카고메 감쇠시스템을 활용하여 본 연구에서는 등방성, 이선형 이력특성 및 설치구성이 새롭게 제안하였다. 또한, 외부접합형 카고메 감쇠시스템의 여러 가지 효과를 15층 및 20층 철근콘크리트 라멘조 아파트를 대상으로 검증하였다. 원구조물에 대한 감쇠장치 지지구조물의 강성비, 감쇠장치의 수량 및 설치 층수는 설계변수로 고려하였다. 수치해석결과, EKDS는 기존의 한 방향 층간에 설치되는 감쇠시스템과 비교할 때 더 작은 수를 적용하여도 두 방향의 지진하중을 감소시키는데 매우 효과적임을 입증되었다.

A multiple scales method solution for the free and forced nonlinear transverse vibrations of rectangular plates

  • Shooshtari, A.;Khadem, S.E.
    • Structural Engineering and Mechanics
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    • 제24권5호
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    • pp.543-560
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    • 2006
  • In this paper, first, the equations of motion for a rectangular isotropic plate have been derived. This derivation is based on the Von Karmann theory and the effects of shear deformation have been considered. Introducing an Airy stress function, the equations of motion have been transformed to a nonlinear coupled equation. Using Galerkin method, this equation has been separated into position and time functions. By means of the dimensional analysis, it is shown that the orders of magnitude for nonlinear terms are small with respect to linear terms. The Multiple Scales Method has been applied to the equation of motion in the forced vibration and free vibration cases and closed-form relations for the nonlinear natural frequencies, displacement and frequency response of the plate have been derived. The obtained results in comparison with numerical methods are in good agreements. Using the obtained relation, the effects of initial displacement, thickness and dimensions of the plate on the nonlinear natural frequencies and displacements have been investigated. These results are valid for a special range of the ratio of thickness to dimensions of the plate, which is a characteristic of the Multiple Scales Method. In the forced vibration case, the frequency response equation for the primary resonance condition is calculated and the effects of various parameters on the frequency response of system have been studied.

2층 원통쉘의 탄성 충격응답 해석 (A Elastic Analysis for the Impact Response Analysis of Two-Layered Cylindrical Shells)

  • 박승진;미카미 타카시
    • 한국강구조학회 논문집
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    • 제12권6호
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    • pp.639-648
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    • 2000
  • 충격하중을 받는 단순지지된 2층 원통쉘의 탄성 충격응답해석에 대한 모델해석을 실시하였다. 2층 원통쉘에 대한 지배방정식은 전단변형과 회전관성을 고려한 단층 수정쉘 이론을 적용하여 충격하중을 받는 철-콘크리트 원통쉘에 대해서 해석하였다. 수치결과에서 알 수 있듯이 응답의 기본적 특성 이해 및 유한요소법 등의 수치해법에 대한 정도 확립에 유효하게 이용될 수 있다고 생각한다.

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Effect of the incoherent earthquake motion on responses of seismically isolated nuclear power plant structure

  • Ahmed, Kaiser;Kim, Dookie;Lee, Sang H.
    • Earthquakes and Structures
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    • 제14권1호
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    • pp.33-44
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    • 2018
  • Base-isolated nuclear power plant (BI-NPP) structures are founded on expanded basemat as a flexible floating nuclear island, are still lacking the recommendation of the consideration of incoherent motion effect. The effect of incoherent earthquake motion on the seismic response of BI-NPP structure has been investigated herein. The incoherency of the ground motions is applied by using an isotropic frequency-dependent spatial correlation function to perform the conditional simulation of the reference design spectrum compatible ground motion in time domain. Time history analysis of two structural models with 486 and 5 equivalent lead plug rubber bearing (LRB) base-isolators have been done under uniform excitation and multiple point excitation. two different cases have been considered: 1) Incoherent motion generated for soft soil and 2) Incoherent motion generated for hard rock soil. The results show that the incoherent motions reduce acceleration and the lateral displacement responses and the reduction is noticeable at soft soil site and higher frequencies.

개폐균열이 존재하는 비대칭 회전부 및 비등방 고정부를 갖는 회전체의 모드해석 (Modal Analysis of Rotor System with Anisotropic Stator and Asymmetric Rotor in the Presence of Breathing Crack)

  • 한동주
    • 대한기계학회논문집A
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    • 제30권4호
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    • pp.442-450
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    • 2006
  • This paper describes the new modal analysis method to detect the presence of the breathing crack in a general rotor system with disk asymmetry and stator anisotropy. It is proposed that the modal analysis using directional frequency response functions (dFRFs), which, accounting for the directivity in modes, clears the heavily over-lapping of other harmonics occurring from non-isotropic properties in addition to those due to crack, can provide an effective method to detect the modes by a crack. The simulations from the simple general rotor model show that the r-dFRFs (reverse dFRFs) for asymmetry confirms a good indicator of the presence of the breathing crack and the instability is primarily influenced by the shaft asymmetry than the breathing crack.

SPH 기법을 이용한 복합 적층판의 초고속 충돌 해석 (Numerical simulation of hypervelocity impacts on laminated composite plate targets using SPH method)

  • 이재훈;서송원;민옥기
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.331-336
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    • 2004
  • This paper is concerned with numerical simulation of hypervelocity impacts(HVIs) of a projectile on laminated composite plate targets using SPH method. A one-parameter visco-plasticity model and damage model is used to describe the HVIs response of composite materials. The numerical simulation was carried out for a steel projectile striking to aluminum plate targets and for an aluminum projectile striking to laminated graphite/epoxy (Gr/Ep) composite plate targets. Through the numerical simulation, comparison with the HVIs response of isotropic materials and composite materials is discussed.

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유한요소법에 의한 등방성과 이방성 재료의 저속 충격 해석 (Low-Velocity Impact Analyses of Isotropic and Anisotropic Materials by the Finite Element Method)

  • 안국찬;박형렬
    • 한국안전학회지
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    • 제16권1호
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    • pp.9-17
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    • 2001
  • The purpose of this research is to analyze the impact resposes(impulsive stress and strain etc.) of anisotropic materials subjected to the low-velocity impact. For this purpose, a beam finite element program based on modified higher-order beam theory for anisotropic materials are developed and used to simulate the dynamic behaviors [contact force, displacement of ball and target, strain(stress) response histories] according to the changes of material property, stacking sequence, velocity and dimension etc.. Test materials for simulation are composed of $[0^{\circ}/45^{\circ}/0^{\circ}/-45^{\circ}/0^{\circ}]_{2s} and [90^{\circ}/45^{\circ}/90^{\circ}/-45^{\circ}/90^{\circ}]_{2s}$ stacking sequences. Finally, the results of this simulation are compared with those of wave propagation theory and then the impact responses and wave propagation phenomena are investigated.

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