• Title/Summary/Keyword: closed-form analysis

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An efficient and simple four variable refined plate theory for buckling analysis of functionally graded plates

  • Bellifa, Hichem;Bakora, Ahmed;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.25 no.3
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    • pp.257-270
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    • 2017
  • In this article, an efficient and simple refined theory is proposed for buckling analysis of functionally graded plates by using a new displacement field which includes undetermined integral variables. This theory contains only four unknowns, with is even less than the first shear deformation theory (FSDT). Governing equations are obtained from the principle of virtual works. The closed-form solutions of rectangular plates are determined. Comparison studies are carried out to check the validity of obtained results. The influences of loading conditions and variations of power of functionally graded material, modulus ratio, aspect ratio, and thickness ratio on the critical buckling load of functionally graded plates are examined and discussed.

Calculation of Stress Intensity Factors Using Single-Layer Potential and Weight Function (Single-Layer 포텐셜과 가중함수를 이용한 응력강도계수의 계산)

  • 이형연;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.4
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    • pp.981-989
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    • 1995
  • A new weight function approach to determine SIF(stress intensity factor) using single-layer potential has been presented. The crack surface displacement field was represented by one boundary integral term whose kernel was modified from Kelvin's fundamental solution. The proposed method enables the calculation of SIF using only one SIF solution without any modification for the crack geometries symmetric in two-dimensional plane such as a center crack in a plate with or without an internal hole, double edge cracks, circumferential crack or radial cracks in a pipe. The application procedure to those crack problems is very simple and straightforward with only one SIF solution. The necessary information in the analysis is two reference SIFs. The analysis results using present closed-form solution were in good agreement with those of the literature.

A SEA Modeling of a compact car and Interior Noise Analysis (소형 승용차량의 SEA 모델링 및 내부 소음 연구)

  • Kim, Sang-Su;Kim, Kwan-Ju;Lim, Hyo-Suk;Kim, Young-Ho
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.824-828
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    • 2007
  • In this paper Statistical Energy Analysis has been considered to predict middle, high frequency air borne interior noise. PIM method is used for verification. Damping loss factor and coupling loss factor have been derived from the response(SPL) of sub systems when the power is applied. The airborne SEA model of vehicle is modeled through AutoSea2. Insulation material's absorption coefficient and transmission loss are acquired from closed form solution and experiment.

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Economic Analysis Model for Substituting VNA Truck in Distribution Centers (물류센터에서 VNA 지게차로 대체시 경제성 분석모형)

  • Kim, Tae-Seong;Kim, Cho-Won;Rim, Suk-Chul
    • Journal of Korean Institute of Industrial Engineers
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    • v.39 no.1
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    • pp.55-60
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    • 2013
  • VNA(Very Narrow Aisle) forklift trucks require narrower aisle width than traditional counter-balanced trucks do because only the fork assembly turns in the aisle instead of the entire body of the truck. Substituting the VNA trucks for the existing counter-balanced trucks will result in the significant increase of revenue due to the increased storage capacity in the distribution centers. In this study, we present an economic analysis model for the substitution, in which we present a closed-form equation for the number of racks to stay unmoved, while maximizing the additional storage capacity; and resulting payback period of the substitution. A case study shows the payback period of only 8.1 months, indicating that this substitution is very profitable.

Kinematic Analysis of a Double-Action Link-Type Die Set for the Enclosed Die Forging (폐쇄단조용 복동링크식 다이세트의 기구학적 해석)

  • Park, R.H.;Jun, B.Y.;Lee, M.C.;Joun, M.S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2006.05a
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    • pp.386-390
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    • 2006
  • In this paper, kinematic analysis of a double-action link-type die set for the enclosed die forging is carried out. Operational principle of the die set in the enclosed die forging is introduced in detail. A closed form solution of the relative velocity of the middle plate with respect to the upper plate is given. The effect of link lengths on both strokes and velocities is investigated.

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Parametric Analysis of Slamming Forces: Compressible and Incompressible Phases

  • Campana, E.F.;Carcaterra, A.;Ciappi, E.;Iafrati, A.
    • Journal of Ship and Ocean Technology
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    • v.4 no.1
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    • pp.21-27
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    • 2000
  • The slamming force occurring in the free fall impact of cylindrical bodies on the water surface is analyzed in both compressible and incompressible stages. In the compressible phase the hydrodynamic analysis is carried on by the acoustic approximation, obtaining a closed form expression for the maximum impact force. The incompressible analysis is approached through and unsteady boundary element method to compute the free surface evolution and the slamming force on the body. A similar behavior seems to characterize the maximum slamming force versus a dimensionless mass parameter.

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Kinematic Analysis of a Double-Action Link-Type Die Set for the Enclosed Die Forging (폐쇄단조용 복동링크식 다이세트의 기구학적 해석)

  • Park Rae-Hun;Jun Byoung-Yoon;Lee Min-Cheol;Joun Man-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.10 s.253
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    • pp.1293-1297
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    • 2006
  • In this paper, kinematic analysis of a double-action link-type die set for enclosed die forging is carried out. The structure of the die set and its operational principle during enclosed die forging are introduced in detail. A closed-form solution of the relative velocity of the middle plate with respect to the upper plate after the upper and lower dies are enclosed is given in terms of the link lengths and the distance from the lower pin to the upper pin of the link system. The effect of the link lengths on both strokes and velocities is investigated. It has been shown that the relative velocity of the middle plate with respect to the upper plate varies almost linearly with the stroke of the upper plate.

Analysis of the Three Phase Inductor-Converter Bridge Circuit by Means of State-Space Averaging Method. (상태변수 평균화법에 의한 삼상 ICB회로 해석)

  • Park, Min-Ho;Hong, Soon-Chan;Choy, Ick;Oh, Soo-Hong
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.9
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    • pp.701-709
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    • 1989
  • The time-averaged behavior of the three-phase Inductor-Converter Bridge (ICB) circuit has been analyzed by using the state-space averaging method. Especially, a second order approximation in the matrix expansion makes the analysis possible. The results are in a closed form which is quite different from the conventional solution obtained by using the Fourier Series. Therefore, the computational difficulties in evaluating the infinite Fourier series can be avoided and the results derived in this paper are available expecially in real time control. By comparing with the Fourier result, it has been verified that the analysis by means of the state-space averaging method is more accurate and simple. The digital simulation and the equivalent experiments have also been carried out to confirm the theoretical results.

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Assessment of non-polynomial shear deformation theories for thermo-mechanical analysis of laminated composite plates

  • Joshan, Yadwinder S.;Grover, Neeraj;Singh, B.N.
    • Steel and Composite Structures
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    • v.27 no.6
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    • pp.761-775
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    • 2018
  • In the present work, the recently developed non-polynomial shear deformation theories are assessed for thermo-mechanical response characteristics of laminated composite plates. The applicability and accuracy of these theories for static, buckling and free vibration responses were ascertained in the recent past by several authors. However, the assessment of these theories for thermo-mechanical analysis of the laminated composite structures is still to be ascertained. The response characteristics are investigated in linear and non-linear thermal gradient and also in the presence and absence of mechanical transverse loads. The laminated composite plates are modelled using recently developed six shear deformation theories involving different shear strain functions. The principle of virtual work is used to develop the governing system of equations. The Navier type closed form solution is adopted to yield the exact solution of the developed equation for simply supported cross ply laminated plates. The thermo-mechanical response characteristics due to these six different theories are obtained and compared with the existing results.

An original HSDT for free vibration analysis of functionally graded plates

  • Sidhoum, Imene Ait;Boutchicha, Djilali;Benyoucef, Samir;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • v.25 no.6
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    • pp.735-745
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    • 2017
  • This work presents a free vibration analysis of functionally graded plates by employing an original high order shear deformation theory (HSDT). This theory use only four unknowns, which is even less than the classical HSDT. The equations of motion for the dynamic analysis are determined via the Hamilton's principle. The original kinematic allows obtaining interesting equations of motion. These equations are solved analytically via Navier procedure. The accuracy of the proposed solution is checked by comparing it with other closed form solutions available in the literature.