• Title/Summary/Keyword: sector in-plane finite element

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Strain based finite element for the analysis of heterogeneous hollow cylinders subjected to thermo-mechanical loading

  • Bouzeriba, Asma;Bouzrira, Cherif
    • Structural Engineering and Mechanics
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    • v.83 no.6
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    • pp.825-834
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    • 2022
  • The effectiveness and accuracy of the strain-based approach applied for analysis of two kinds of heterogeneous hollow cylinders subjected to thermal and mechanical loads are examined in this study. One is a multilayer cylinder in which the material in each layer is assumed to be linearly elastic, homogeneous and isotropic. Another is a hollow cylinder made of functionally graded materials with arbitrary gradient. The steady state condition without heat generation is considered. A sector in-plane finite element in the polar coordinate system based on strain approach is used. This element has only three degrees of freedom at each corner node. Analytical solutions available in the literature are presented to illustrate the accuracy of the sector element used. The obtained results for displacements and stresses are shown to be in good agreement with the analytical solutions.

Finite Element Analysis for Time Response of a Flexible Spinning Disk with Translating Misalignment (회전축 정렬불량을 가지는 유연회전디스크의 유한요소법을 이용한 시간응답해석)

  • Heo, Jin-Uk;Jeong, Jin-Tae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.9
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    • pp.1905-1913
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    • 2002
  • Using the finite element method, this study investigates the dynamic time responses of a flexible spinning disk of which axis of rotation is misaligned with the axis of symmetry. The misalignment between the axes of symmetry and rotation is one of the major vibration sources in optical disk drives such as CD-ROM, CD-R, CD-RW and DVD drives. Based upon the Kirchhoff plate theory and the von-Karman strain theory, three coupled equations of motion for the misaligned disk are obtained: two of the equations are for the in-plane motion while the other is for the out-of-plane motion. After transforming these equations into two weak forms for the in-plane and out-of-plane motions, the weak forms are discretized by using newly defined annular sector finite elements. Applying the generalized-$\alpha$ time integration method to the discretized equations, the time responses and the displacement distributions are computed and then the effects of the misalign ment on the responses and the distributions are analyzed. The computation results show that the misalignment has an influence on the magnitudes of the in-plane displacements and it results in the amplitude modulation or the beat phenomenon in the time responses of the out-of-plane displacement.

Optimization of Mold for Fineblanking Forming of Sector Gear for Recliner (리클라이너 용 섹터기어의 파인 블랭킹 성형을 위한 금형의 최적화)

  • Lee, K.Y.;Nam, K.W.;Moon, C.K.
    • Journal of Power System Engineering
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    • v.15 no.6
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    • pp.53-58
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    • 2011
  • To optimization of mlod for fineblanking forming of sector gear of recliner, it was analyzed the effect of clearance, V-ring height, V-ring position, blank holding force and counter punch force. In case of 0.003 mm of clearancs, the finest shear plane was obtained, but optimization between die and punch clearance was 0.005 mm. The height of V-ring was 0.7 mm. In case of increasing of hold force, the size of shear plane got better and the decrement of thickness became smaller. Both the size of shear plane and the decrement of thickness increased according to increasing of counter punch force.