• 제목/요약/키워드: free boundary

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Electro-mechanical vibration of nanoshells using consistent size-dependent piezoelectric theory

  • Ebrahimi, Narges;Beni, Yaghoub Tadi
    • Steel and Composite Structures
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    • 제22권6호
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    • pp.1301-1336
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    • 2016
  • In this paper, the free vibrations of a short cylindrical nanotube made of piezoelectric material are studied based on the consistent couple stress theory and using the shear deformable cylindrical theory. This new model has only one length scale parameter and can consider the size effects of nanostructures in nanoscale. To model size effects in nanoscale, and considering the nanotube material which is piezoelectric, the consistent couple stress theory is used. First, using Hamilton's principle, the equations of motion and boundary condition of the piezoelectric cylindrical nanoshell are developed. Afterwards, using Navier approach and extended Kantorovich method (EKM), the governing equations of the system with simple-simple (S-S) and clamped-clamped (C-C) supports are solved. Afterwards, the effects of size parameter, geometric parameters (nanoshell length and thickness), and mechanical and electric properties (piezoelectric effect) on nanoshell vibrations are investigated. Results demonstrate that the natural frequency on nanoshell in nanoscale is extremely dependent on nanoshell size. Increase in size parameter, thickness and flexoelectric effect of the material leads to increase in frequency of vibrations. Moreover, increased nanoshell length and diameter leads to decreased vibration frequency.

독일의 지방 행정구역 개편에 관한 고찰 - 구서독을 중심으로 - (A Study on the Territorial Reform of Local Government in West Germany)

  • 안영진
    • 한국지역지리학회지
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    • 제19권1호
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    • pp.147-161
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    • 2013
  • 이 연구는 1960~70년대에 걸쳐 구서독에서 추진된 지방 행정구역 개편 배경과 과정 그리고 특성 및 평가를 고찰한 것이다. 독일의 하위 지방 행정구역에 해당하는 게마인데(Gemeinde)와 군(Kreis)과 자치시(Kreisfreie Stadt) 차원의 개편이 대대적으로 추진되었다. 구서독의 지방 행정구역의 개편은 행정개혁의 일환으로, 시대의 제반 요구를 수용하여 거점 도시망의 구성을 통한 소규모 행정구역의 통폐합으로 진행되었다. 구서독의 지방 행정구역 개편은 획일적인 구역설정, 지역 정체성의 혼란, 지방 자치권의 침해, 지역 계획적 관점의 우선 등에서 비판받고 있으나, 공공 행정의 수행 능력이 크게 향상되었으며, 특히 공공 서비스의 공급이 원활해지고 계획 역량이 제고된 것으로 평가받고 있다.

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전단변형이론 및 미분구적법을 이용한 곡선보의 내평면 진동해석 (In-Plane Vibration Analysis of Curved Beams Considering Shear Deformation Using DQM)

  • 강기준;김병삼
    • 한국산학기술학회논문지
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    • 제7권5호
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    • pp.793-800
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    • 2006
  • 곡선보(curved beam)의 회전관성(rotatory inertia) 및 전단변형(shear deformation)을 고려한 평면내(in-plane) 자유진동을 해석하는데 미분구적법(DQM)을 이용하여 고정-고정 경계조건(boundary conditions)과 다양한 굽힘각(opening angles)에 따른 진동수(frequencies)를 계산하였다. DQM의 결과는 엄밀해(exact solution) 또는 다른 수치해석(Rayleigh-Ritz, Galerkin 또는 FEM) 결과와 비교하였으며, DQM은 적은 요소(grid points)를 사용하여 정회한 해석결과를 보여주었다.

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A Time-Varying Gain Super-Twisting Algorithm to Drive a SPIM

  • Zaidi, Noureddaher;Jemli, Mohamed;Azza, Hechmi Ben;Boussak, Mohamed
    • Journal of Power Electronics
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    • 제13권6호
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    • pp.955-963
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    • 2013
  • To acquire a performed and practical solution that is free from chattering, this study proposes the use of an adaptive super-twisting algorithm to drive a single-phase induction motor. Partial feedback linearization is applied before using a super-twisting algorithm to control the speed and stator currents. The load torque is considered an unknown but bounded disturbance. Therefore, a time-varying switching gain that does not require prior knowledge of the disturbance boundary is proposed. A simple sliding surface is formulated as the difference between the real and desired trajectories obtained from the indirect rotor flux oriented control strategy. To illustrate the effectiveness of the proposed control structure, an experimental setup around a digital signal processor (dS1104) is developed and several tests are performed.

Large eddy simulation of turbulent flow using the parallel computational fluid dynamics code GASFLOW-MPI

  • Zhang, Han;Li, Yabing;Xiao, Jianjun;Jordan, Thomas
    • Nuclear Engineering and Technology
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    • 제49권6호
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    • pp.1310-1317
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    • 2017
  • GASFLOW-MPI is a widely used scalable computational fluid dynamics numerical tool to simulate the fluid turbulence behavior, combustion dynamics, and other related thermal-hydraulic phenomena in nuclear power plant containment. An efficient scalable linear solver for the large-scale pressure equation is one of the key issues to ensure the computational efficiency of GASFLOW-MPI. Several advanced Krylov subspace methods and scalable preconditioning methods are compared and analyzed to improve the computational performance. With the help of the powerful computational capability, the large eddy simulation turbulent model is used to resolve more detailed turbulent behaviors. A backward-facing step flow is performed to study the free shear layer, the recirculation region, and the boundary layer, which is widespread in many scientific and engineering applications. Numerical results are compared with the experimental data in the literature and the direct numerical simulation results by GASFLOW-MPI. Both time-averaged velocity profile and turbulent intensity are well consistent with the experimental data and direct numerical simulation result. Furthermore, the frequency spectrum is presented and a -5/3 energy decay is observed for a wide range of frequencies, satisfying the turbulent energy spectrum theory. Parallel scaling tests are also implemented on the KIT/IKET cluster and a linear scaling is realized for GASFLOW-MPI.

Optical System Design for Thermal Target Recognition by Spiral Scanning [TRSS]

  • Kim, Jai-Soon;Yoon, Jin-Kyung;Lee, Ho-Chan;Lee, Jai-Hyung;Kim, Hye-Kyung;Lee, Seung-Churl;Ahn, Keun-Ok
    • Journal of the Optical Society of Korea
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    • 제8권4호
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    • pp.174-181
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    • 2004
  • Various kinds of systems, that can do target recognition and position detection simultaneously by using infrared sensing detectors, have been developed. In this paper, the detection system TRSS (Thermal target Recognition by Spiral Scanning) adopts linear array shaped uncooled IR detector and uses spiral type fast scanning method for relative position detection of target objects, which radiate an IR region wavelength spectrum. It can detect thermal energy radiating from a 9 m-size target object as far as 200 m distance. And the maximum field of a detector is fully filled with the same size of target object at the minimum approaching distance 50 m. We investigate two types of lens systems. One is a singlet lens and the other is a doublet lens system. Every system includes one aspheric surface and free positioned aperture stop. Many designs of F/1.5 system with ${\pm}5.2^{\circ}$ field at the Efl=20, 30 mm conditions for single element and double elements lens system respectively are compared in their resolution performance [MTF] according to the aspheric surface and stop position changing on their optimization process. Optimum design is established including mechanical boundary conditions and manufacturing considerations.

공구고정부에 점탄성재료 삽입을 통한 채터감소에 관한 연구 (A Study on the Chatter Suppression by Inserting Viscoelastic Materials between Tool and Toolpost)

  • 유영기;심송;김광준
    • 대한기계학회논문집
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    • 제13권5호
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    • pp.875-885
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    • 1989
  • 본 연구에서는 이러한 경우를 대상으로 하여, 채터발생의 주원인이 공구가 되도록 돌출길이를 충분히 길게 한 상태에서 공구체결부에 점탄성재료를 삽입하고 채터진동 억제 효과를 검토하였다. 또한 점탄성 재료 삽입으로 인한 공구 고정부의 강성 및 감쇠의 변화를 공구고정부에 대한 유한요소해석(FEA) 및 충격실험 등을 수행 하여 알아보았으며, 정적 강성의 저하로 인해 안정절삭조건에서 발생할 수 있는 정밀 도저하를 검토하여 보았다.

Thermo-elastic analysis of rotating functionally graded micro-discs incorporating surface and nonlocal effects

  • Ebrahimi, Farzad;Heidar, Ebrahim
    • Advances in aircraft and spacecraft science
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    • 제5권3호
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    • pp.295-318
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    • 2018
  • This research studies thermo-elastic behavior of rotating micro discs that are employed in various micro devices such as micro gas turbines. It is assumed that material is functionally graded with a variable profile thickness, density, shear modulus and thermal expansion in terms of radius of micro disc and as a power law function. Boundary condition is considered fixed-free with uniform thermal loading and elastic field is symmetric. Using incompressible material's constitutive equation, we extract governing differential equation of four orders; to solution this equation, we utilize general differential quadrature (GDQ) method and the results are schematically pictured. The obtained result in a particular case is compared with another work and coincidence of results is shown. We will find out that surface effect tends to split micro disc's area to compressive and tensile while nonlocal parameter tries to converge different behaviors with each other; this convergence feature make FGIMs capable to resist in high temperature and so in terms of thermo-elastic behavior we can suggest, using FGIMs in micro devices such as micro turbines (under glass transition temperature).

Exact solution for dynamic response of size dependent torsional vibration of CNT subjected to linear and harmonic loadings

  • Hosseini, Seyyed A.H.;Khosravi, Farshad
    • Advances in nano research
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    • 제8권1호
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    • pp.25-36
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    • 2020
  • Rotating systems concern with torsional vibration, and it should be considered in vibration analysis. To do this, the time-dependent torsional vibrations in a single-walled carbon nanotube (SWCNT) under the linear and harmonic external torque, are investigated in this paper. Eringen's nonlocal elasticity theory is considered to demonstrate the nonlocality and constitutive relations. Hamilton's principle is established to derive the governing equation of motion and consequently related boundary conditions. An analytical method, called the Galerkin method, is utilized to discretize the driven differential equations. Linear and harmonic torsional loads, along with determined amplitude, are applied to the SWCNT as the external torques. SWCNT is considered under the clamped-clamped end supports. In free vibration, analysis of small scale effect reveals the capability of natural frequencies in different modes, and this results desirably are in coincidence with another study. The forced torsional vibration in the time domain, especially for carbon nanotubes, has not been done before in the previous works. The previous forced studies were devoted to the transverse vibrations. It should be emphasized that the dynamical analysis of torsion is novel, workable, and at the beginning of the path. The variations of nonlocal parameter, CNT's thickness, and the influence of excitation frequency on time-dependent angular displacement and nondimensional angular displacement are investigated in the context.

Isogeometric Collocation Method to solve the strong form equation of UI-RM Plate Theory

  • Katili, Irwan;Aristio, Ricky;Setyanto, Samuel Budhi
    • Structural Engineering and Mechanics
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    • 제76권4호
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    • pp.435-449
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    • 2020
  • This work presents the formulation of the isogeometric collocation method to solve the strong form equation of a unified and integrated approach of Reissner Mindlin plate theory (UI-RM). In this plate theory model, the total displacement is expressed in terms of bending and shear displacements. Rotations, curvatures, and shear strains are represented as the first, the second, and the third derivatives of the bending displacement, respectively. The proposed formulation is free from shear locking in the Kirchhoff limit and is equally applicable to thin and thick plates. The displacement field is approximated using the B-splines functions, and the strong form equation of the fourth-order is solved using the collocation approach. The convergence properties and accuracy are demonstrated with square plate problems of thin and thick plates with different boundary conditions. Two approaches are used for convergence tests, e.g., increasing the polynomial degree (NELT = 1×1 with p = 4, 5, 6, 7) and increasing the number of element (NELT = 1×1, 2×2, 3×3, 4×4 with p = 4) with the number of control variable (NCV) is used as a comparable equivalent variable. Compared with DKMQ element of a 64×64 mesh as the reference for all L/h, the problem analysis with isogeometric collocation on UI-RM plate theory exhibits satisfying results.