• Title/Summary/Keyword: stress correction factor

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Size-dependent bending analysis of FGM nano-sinusoidal plates resting on orthotropic elastic medium

  • Kolahchi, Reza;Bidgoli, Ali Mohammad Moniri;Heydari, Mohammad Mehdi
    • Structural Engineering and Mechanics
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    • v.55 no.5
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    • pp.1001-1014
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    • 2015
  • Bending analysis of functionally graded (FG) nano-plates is investigated in the present work based on a new sinusoidal shear deformation theory. The theory accounts for sinusoidal distribution of transverse shear stress, and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate without using shear correction factor. The material properties of nano-plate are assumed to vary according to power law distribution of the volume fraction of the constituents. The size effects are considered based on Eringen's nonlocal theory. Governing equations are derived using energy method and Hamilton's principle. The closed-form solutions of simply supported nano-plates are obtained and the results are compared with those of first-order shear deformation theory and higher-order shear deformation theory. The effects of different parameters such as nano-plate length and thickness, elastic foundation, orientation of foundation orthtotropy direction and nonlocal parameters are shown in dimensionless displacement of system. It can be found that with increasing nonlocal parameter, the dimensionless displacement of nano-plate increases.

A mechanical response of functionally graded nanoscale beam: an assessment of a refined nonlocal shear deformation theory beam theory

  • Zemri, Amine;Houari, Mohammed Sid Ahmed;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.54 no.4
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    • pp.693-710
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    • 2015
  • This paper presents a nonlocal shear deformation beam theory for bending, buckling, and vibration of functionally graded (FG) nanobeams using the nonlocal differential constitutive relations of Eringen. The developed theory account for higher-order variation of transverse shear strain through the depth of the nanobeam, and satisfy the stress-free boundary conditions on the top and bottom surfaces of the nanobeam. A shear correction factor, therefore, is not required. In addition, this nonlocal nanobeam model incorporates the length scale parameter which can capture the small scale effect and it has strong similarities with Euler-Bernoulli beam model in some aspects such as equations of motion, boundary conditions, and stress resultant expressions. The material properties of the FG nanobeam are assumed to vary in the thickness direction. The equations of motion are derived from Hamilton's principle. Analytical solutions are presented for a simply supported FG nanobeam, and the obtained results compare well with those predicted by the nonlocal Timoshenko beam theory.

Bending behavior of laminated composite plates using the refined four-variable theory and the finite element method

  • Bouazza, Mokhtar;Becheri, Tawfiq;Boucheta, Abderrahmane;Benseddiq, Noureddine
    • Earthquakes and Structures
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    • v.17 no.3
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    • pp.257-270
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    • 2019
  • The purpose of this work is to analyze the bending behavior of laminated composite plates using the refined fourvariable theory and the finite element method approach using an ANSYS 12 computational code. The analytical model is based on the multilayer plate theory of shear deformation of the nth-order proposed by Xiang et al 2011 using the theory principle developed by Shimpi and Patel 2006. Unlike other theories, the number of unknown functions in the present theory is only four, while five or more in the case of other theories of shear deformation. The formulation of the present theory is based on the principle of virtual works, it has a strong similarity with the classical theory of plates in many aspects, it does not require shear correction factor and gives a parabolic description of the shear stress across the thickness while filling the condition of zero shear stress on the free edges. The analysis is validated by comparing results with those in the literature.

Elacstic-\Plastic Limit Load Analysis of Notched Specimen by the Finite Element Method (노치 ( Notch )를 가진 試片의 有限要素法에 의한 彈塑性 極限 荷重解析)

  • Lee, Taik-Soon;Kim, Dong-Sub;Hwang, Pyung
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.7 no.4
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    • pp.379-385
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    • 1983
  • Many papers have shown limit loads of v-notched tension specimens in plane stress by the elastic-plastic finite element method. But they are always higher than the theoretical maximum loads. The present approach tries to find the reasons and formulates correction factor applicable to any notch shape using virtual work principle with triangular elements. The corrected limit loads are in good agreement with theoretical upper bound solutions and they are little influenced by mesh size and specimen length, which make the computing time save.

Finite Element Analysis of Concrete Columns Strengthened with Glass Fiber Sheets (유리섬유쉬트로 보강된 콘크리트 기둥의 유한요소해석)

  • 정택원;송하원;변근주
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.05a
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    • pp.449-454
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    • 2002
  • For finite analysis of concrete columns strengthened with glass fiber sheets, an effective concrete model which considers the confining effects by lateral reinforcement and glass fiber sheets is necessary. In this paper, the so-called elasto-plasticity and continuum fracture model (EPF model) is modified to consider high confining effects of strengthened reinforced concrete columns by introducing a simple correction factor ($\alpha$) which relates maximum lateral confining stress of the column to the evolution of deviatoric plasticity. Then, a finite element analysis is carried out for the strengthened reinforced concrete columns using the modified EPF model and equally spaced truss elements. It is shown that the, analysis predicts well the failure behavior of reinforced concrete columns strengthened with glass fiber sheets.

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New Single Stage PFC Full Bridge Converter (새로운 단일전력단 역률보상 풀브리지 컨버터)

  • 임창섭;권순걸;조정구;송두익
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.52 no.12
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    • pp.655-660
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    • 2003
  • This paper proposes new single stage power factor correction (PFC) full bridge converter. The proposed converter is combined previous ZVS full bridge DC/DC converter with two inductors, two diodes, two magnetic coupling transformer for PFC. This process of power is isolated from the source and also regulate stable DC output voltage in a category. In this topology, the voltage stress of main switches is reduced by zero voltage switching. Moreover, the proposed converter doesn't need active PFC switch and auxiliarly circuits, like control and gating board, so it could decrease the size and cost and increase the efficiency.

Bending analysis of softcore and hardcore functionally graded sandwich beams

  • Hadji, Lazreg;Safa, Abdelkader
    • Earthquakes and Structures
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    • v.18 no.4
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    • pp.481-492
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    • 2020
  • A New hyperbolic shear deformation theory is developed for the bending analysis of softcore and hardcore functionally graded sandwich beams. This theory satisfies the equilibrium conditions at the top and bottom faces of the sandwich beam and does not require the shear correction factor. The governing equations are derived from the principle of virtual work. Sandwich beams have functionally graded skins and two types of homogenous core (softcore and hardcore). The material properties of functionally graded skins are graded through the thickness according to the power-law distribution. The Navier solution is used to obtain the closed form solutions for simply supported FGM sandwich beams. The accuracy and effectiveness of proposed theory are verified by comparison with previous research. A detailed numerical study is carried out to examine the influence of the deflections, stresses, and sandwich beam type on the bending responses of functionally graded sandwich beams.

A Study on the Continuous Current Mode $S^4$-PFC Converter using Auxiliary Resonant Circuit (공진형 보조 회로를 이용한 연속 전류 모드 $S^4$-PFC 컨버터에 관한 연구)

  • Han, Dae-Hee;Kim, Yong;Bae, Jin-Yong;Lee, Eun-Young;Kwon, Soon-Do
    • Proceedings of the KIEE Conference
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    • 2002.11d
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    • pp.200-203
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    • 2002
  • This paper presents Continuous-current mode of $S^4$-PFC(Single-Stage Single-switch Power Factor Correction) converter. Proposed converter operates in the continueous current mode(CCM) at full load and discontinuous current mode(DCM) at light load. So, characteristic of proposed converter is no bus voltage stress and Zero Voltage Switching(ZVS) using resonant auxiliary circuit. And. This paper presents characteristic of $S^4$-PFC converter and effect of circuit parameter of proposed converter through the input inductor, PFC capacitor's variation. All of these theory and characteristic verified through the experiment with a 72W(12V, 6A), $90^{kHz}$ prototype converter.

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A Single Stage Isolated Power Factor Correction Power Supplies using Clamping Circuit (클램핑 회로를 이용한 단계층 절연 역률 보정 전원 공급장치)

  • Seo, Jai-Ho;Lee, Hee-Seung
    • Proceedings of the KIEE Conference
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    • 1998.07f
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    • pp.2021-2023
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    • 1998
  • In this paper we further propose to add a very simple regenerative clamping circuit to SSIPP to reduce the voltage stress and to recycle the energy trapped in the leakage inductance of the isolation transformer, thus eliminating the need for a lossy snubber circuit. In addition, this proposed clamping circuit also provides a mechanism to reset the magnetizing current of the output transformer of SSIPP employing a Forward converter as the output stage. Simulations and experimental results are reported to verify the operation and performance of the SSIPP with regenerative clamping.

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Mechanical behaviour of FGM sandwich plates using a quasi-3D higher order shear and normal deformation theory

  • Daouadj, Tahar Hassaine;Adim, Belkacem
    • Structural Engineering and Mechanics
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    • v.61 no.1
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    • pp.49-63
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    • 2017
  • This paper presents an original hyperbolic (first present model) and parabolic (second present model) shear and normal deformation theory for the bending analysis to account for the effect of thickness stretching in functionally graded sandwich plates. Indeed, the number of unknown functions involved in these presents theories is only five, as opposed to six or even greater numbers in the case of other shear and normal deformation theories. The present theory accounts for both shear deformation and thickness stretching effects by a hyperbolic variation of ail displacements across the thickness and satisfies the stress-free boundary conditions on the upper and lower surfaces of the plate without requiring any shear correction factor. It is evident from the present analyses; the thickness stretching effect is more pronounced for thick plates and it needs to be taken into consideration in more physically realistic simulations. The numerical results are compared with 3D exact solution, quasi-3-dimensional solutions and with other higher-order shear deformation theories, and the superiority of the present theory can be noticed.