• Title/Summary/Keyword: Equivalent Mechanical Model

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Numerical analysis on the critical current evaluation and the correction of no-insulation HTS coil

  • Bonghyun Cho;Jiho Lee
    • Progress in Superconductivity and Cryogenics
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    • v.25 no.1
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    • pp.16-20
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    • 2023
  • The International Electrotechnical Commission (IEC) 61788-26:2020 provides guidelines for measuring the critical current of Rare-earth barium copper oxide (REBCO) tapes using two methods: linear ramp and step-hold methods. The critical current measurement criterion, 1 or 0.1 μV/cm of electric field from IEC 61788-26 has been normally applied to REBCO coils or magnets. No-insulation (NI) winding technique has many advantages in aspects of electrical and thermal stability and mechanical integrity. However, the leak current from the NI REBCO coil can cause distortion in critical current measurement due to the characteristic resistance which causes the radial current flow paths. In this paper, we simulated the NI REBCO coil by applying both linear ramp and step-hold methods based on a simplified equivalent circuit model. Using the circuit analysis, we analyzed and evaluated both methods. By using the equivalent circuit model, we can evaluate the critical current of the NI REBCO coil, resulting in an estimation error within 0.1%. We also evaluate the accuracy of critical current measurement using both the linear ramp and step-hold methods. The accuracy of the linear ramp method is influenced by the inductive voltage, whereas the accuracy of the step-hold method depends on the duration of the hold-time. An adequate hold time, typically 5 to 10 times the time constant (τ), makes the step-hold method more accurate than the linear ramp method.

A new four-unknown equivalent single layer refined plate model for buckling analysis of functionally graded rectangular plates

  • Ibrahim Klouche Djedid;Sihame Ait Yahia;Kada Draiche;Emrah Madenci;Kouider Halim Benrahou;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • v.90 no.5
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    • pp.517-530
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    • 2024
  • This paper presents a new four-unknown equivalent single layer (ESL) refined plate theory for the buckling analysis of functionally graded (FG) rectangular plates with all simply supported edges and subjected to in-plane mechanical loading conditions. The present model accounts for a parabolic variation of transverse shear stress over the thickness, and accommodates correctly the zero shear stress conditions on the top and bottom surfaces of the plate. The material properties are supposed to vary smoothly in the thickness direction through the rules of mixture named power-law gradation. The governing equilibrium equations are formulated based on the total potential energy principle and solved for simply supported boundary conditions by implementing the Navier's method. A numerical result on elastic buckling using the current theory was computed and compared with those published in the literature to examine the accuracy of the proposed analytical solution. The effects of changing power-law exponent, aspect ratio, thickness ratio and modulus ratio on the critical buckling load of FG plates under different in-plane loading conditions are investigated in detail. Moreover, it was found that the geometric parameters and power-law exponent play significant influences on the buckling behavior of the FG plates.

Convergence Technique Study of Model Tie Rod End by Configuration through Simulation Analysis (시뮬레이션 해석을 통한 형상 별 타이로드 엔드 모델의 융합 기술 연구)

  • Lee, Jung-Ho;Cho, Jae-Ung
    • Journal of the Korea Convergence Society
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    • v.7 no.1
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    • pp.161-166
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    • 2016
  • Deformation, stress and fatigue life due to the configuration of tie rod end are investigated in this study. Tie rod ends with the total three kinds of configurations are modelled with three dimensions through CATIA program and the simulation analysis is carried out with the ANSYS finite element analysis program. There are the models of A, B and C by the configuration of the rod end. As this study result, maximum deformation, maximum equivalent stress and maximum fatigue life of A type model are shown to be 0.0614mm, 160.27MPa and 336,930cycles respectively. And maximum deformation, maximum equivalent stress and maximum fatigue life of B type model are shown to be 0.0648mm, 90.889MPa and 1,171,000cycles respectively. Maximum deformation, maximum equivalent stree and maximum fatigue life of C type model are also shown to be 0.0402mm, 84.794MPa and 20,000,000cycles respectively. The durability of the models of tie rod ends through the values of this result could be estimated and the data for the design and development of more improved tie rod end could be secured. And it is possible to be grafted onto the convergence technique at design and be shown as the esthetic sense.

Vibration of nonlocal perforated nanobeams with general boundary conditions

  • Eltaher, Mohamed A.;Mohamed, Norhan A.
    • Smart Structures and Systems
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    • v.25 no.4
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    • pp.501-514
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    • 2020
  • This article presents a comprehensive model to investigate a free vibration and resonance frequencies of nanostructure perforated beam element as nano-resonator. Nano-scale size dependency of regular square perforated beam is considered by using nonlocal differential form of Eringen constitutive equation. Equivalent mass, inertia, bending and shear rigidities of perforated beam structure are developed. Kinematic displacement assumptions of both Timoshenko and Euler-Bernoulli are assumed to consider thick and thin beams, respectively. So, this model considers the effect of shear on natural frequencies of perforated nanobeams. Equations of motion for local and nonlocal elastic beam are derived. After that, analytical solutions of frequency equations are deduced as function of nonlocal and perforation parameters. The proposed model is validated and verified with previous works. Parametric studies are performed to illustrate the influence of a long-range atomic interaction, hole perforation size, number of rows of holes and boundary conditions on fundamental frequencies of perforated nanobeams. The proposed model is supportive in designing and production of nanobeam resonator used in nanoelectromechanical systems NEMS.

Analytical solutions to piezoelectric bimorphs based on improved FSDT beam model

  • Zhou, Yan-Guo;Chen, Yun-Min;Ding, Hao-Jiang
    • Smart Structures and Systems
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    • v.1 no.3
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    • pp.309-324
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    • 2005
  • This paper presents an efficient and accurate coupled beam model for piezoelectric bimorphs based on improved first-order shear deformation theory (FSDT). The model combines the equivalent single layer approach for the mechanical displacements and a layerwise modeling for the electric potential. General electric field function is proposed to reasonably approximate the through-the-thickness distribution of the applied and induced electric potentials. Layerwise defined shear correction factor (k) accounting for nonlinear shear strain distribution is introduced into both the shear stress resultant and the electric displacement integration. Analytical solutions for free vibrations and forced response under electromechanical loads are obtained for the simply supported piezoelectric bimorphs with series or parallel arrangement, and the numerical results for various length-to-thickness ratios are compared with the exact two-dimensional piezoelasticity solution. Excellent predictions with low error estimates of local and global responses as well as the modal frequencies are observed.

Theoretical analysis of self-centering concrete piers with external dissipators

  • Cao, Zhiliang;Guo, Tong;Xu, Zhenkuan;Lu, Shuo
    • Earthquakes and Structures
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    • v.9 no.6
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    • pp.1313-1336
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    • 2015
  • The self-centering prestressed concrete (SCPC) bridge pier with external dissipators is a novel structure, aiming at reducing residual deformation and facilitating the post-earthquake repair. This paper presents the configuration and mechanical behaviors of the pier. A theoretical model for the lateral force-displacement relationship under cyclic loading is developed. The proposed model comprises an iterative procedure which describes the deformation of dissipators under different conditions. Equations of pier stiffness after gap opening, as well as the equivalent viscous damping ratio, etc., are derived based on the proposed model. Existing cyclic load test results were used to validate the proposed model, and good agreement is observed between the analytical and test results.

Location-dependent Reliability of Solder Interconnection on Printed Circuit Board in Random Vibration Environment (랜덤진동환경에서 솔더접합부의 인쇄회로기판내 위치에 따른 내구수명 변화 연구)

  • Han, Changwoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.1
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    • pp.45-50
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    • 2014
  • A vibration test coupon is prepared with nine plastic ball grid array packages on a printed circuit board using SnPb solders, and a random vibration test is conducted on the coupon. Life data from the test are analyzed, and it is shown that over the board, life data is location-dependent. For investigating this location dependency, a finite element model is developed and the equivalent stresses, which are defined based on the stress response functions at each node, are investigated. It is shown that one of the corner solder balls has the maximum equivalent stress at a package during the test. Finally, it is demonstrated that the maximum equivalent stress and durability life are inversely proportional.

Prediction of Dynamics of Bellows in Exhaust System of Vehicle Using Equivalent Beam Modeling (등가 보 모델링 방법을 이용한 차량 배기계의 벨로우즈 동특성 예측)

  • Hong, Jin Ho;Kim, Yong Dae;Lee, Nam Young;Lee, Sang Woo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.11
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    • pp.1105-1111
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    • 2015
  • The exhaust system is one of the major sources of vibrations, along with the suspension system and engine. When the exhaust system is connected directly to the engine, it transfers vibrations to the vehicle body through the body mounts. Therefore, in order to reduce the vibrations transmitted from the exhaust system, the vibration characteristics of the exhaust system should be predicted. Thus, the dynamic characteristics of the bellows, which form a key component of the exhaust system, must be modeled accurately. However, it is difficult to model the bellows because of the complicated geometry. Though the equivalent beam modeling technique has been applied in the design stage, it is not sufficiently accurate in the case of the bellows which have complicated geometries. In this paper, we present an improved technique for modeling the bellows in a vehicle. The accuracy of the modeling method is verified by comparison with the experimental results.

Lumped Parameter Modelling and Analysis of Flat Coil Actuator with Shorted Turn (평판형 전자기 엑츄에이터의 집중매개변수 모델링 및 해석)

  • Hwang, Ki-Il;Kim, Jin-Ho;Lee, Jung-Hun
    • Journal of the Korean Magnetics Society
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    • v.20 no.4
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    • pp.149-152
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    • 2010
  • The flat coil actuator is widely used to make high precision products because it has no friction between the moving coil and the guide. Finite Element Method, a favored actuator design tool due to its high accuracy, was utilized to analyze the electromagnetic actuator, but it consumes a lot of time especially in computation iterations for optimization. Accordingly, the magnetic equivalent circuit analysis can be an alternative tool to FEM because of its computation iteration capability with fair accuracy. In this paper, lumped parameter model and the simulation results are presented. In addition, the result of lumped parameter analysis is compared with those obtained from finite element analysis for verification.

Vibration Analysis of a BEBTS(Built-in Eccentric Bearing-Torsional Spring) Type ABTU(Automatic Belt Tension Unit) (편심 베어링 - 비틀림 스프링 내장형 자동벨트 긴장장치의 진동해석)

  • Choe, Yeong-Hyu;An, Yeong-Deok;Jeong, Won-Ji
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.3
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    • pp.95-100
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    • 2002
  • Built-in Eccentric Bearing-Torsional Spring (BEBTS) type Automatic Belt Tension Unit (ABTU) is one of typical belt tension units. The BEBTS type ABTU system frequently experiences torsional vibration about its pivot due to the variation of belt tension. However, it is very difficult to analyze the rotational (or torsional) vibration of the ABTU because the exciting moment varies according to the change of belt tension. To get over this difficulty, in this paper. the ABTU was simplified as 1-DOF translational motion model in the tangential direction. Its equation of motion was derived and solved. The time history and frequency responses were computed and examined for three of BEBTS type ABTUs which are made by different manufacturers but the tame kind.