• Title/Summary/Keyword: plate equation

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Effect of delamination on vibration characteristic of smart laminated composite plate

  • Shankar, Ganesh;Varun, Jayant Prakash;Mahato, P.K.
    • Journal of Aerospace System Engineering
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    • v.13 no.4
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    • pp.10-17
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    • 2019
  • This study is concerned with a numerical analysis based on the finite element method to describe the effect of midplane delamination in smart laminated composite plate structures. A new finite element model for centrally located delamination and healthy section was developed and coded in Matlab. The transient analysis of delaminated composite plate with integrated Active Fiber Composite (AFC) was investigated in the present article. The formulation of the governing equation was based on the minimum total potential energy approach. The Newmark time integration technique was employed to solve the differential equations. A parametric study on the effects of boundary conditions and AFC patch location, in presence of delamination on the laminated plate were studied.

Strength Evaluation of a Doubler Plate of Ship Structure subjected to the Biaxial In-plane Compression (양축방향 면내 압축하중을 받는 선박 이중판의 강도 평가)

  • Juh-Hyeok Ham
    • Journal of the Society of Naval Architects of Korea
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    • v.38 no.1
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    • pp.72-85
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    • 2001
  • A study for the structural strength evaluation on the doubler plate subjected to the biaxial in-plane compression has been performed through the systematic evaluation process. In order to estimate the proper static strength of doubler plate, elasto-plastic large deflection analysis is introduced including the contact effect between main plate and doubler. The characteristics of stiffness and strength variation are discussed based on their results. A1so, in order to compare the doubler structure with the original strength of main plate without doubler, a simple formula for the evaluation of the equivalent flat plate thickness is derived based on the additional series analysis of flat plate structure. Using this derived equation, the thickness change of a equivalent flat plate is analyzed according to the variation of various design parameters of doubler plate and some design guides are suggested in order to maintain the original strength of main plate without doubler reinforcement. Finally, correlation between derived equivalent flat plate formula and the developed buckling strength formulas by author et a1. is discovered and these relations are formulated for the future development of simple strength evaluation formula of doubler plate structure.

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Strength Analysis of a Slender Doubler Plate of Ship Structure subjected to the Longitudinal In-plane Compression (종방향 면내 압출하중을 받는 세장한 선박 이중판의 강도 해석)

  • Juh-Hyeok Ham
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.4
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    • pp.92-105
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    • 2000
  • A study for the structural strength evaluation on the slender doubler plate has been performed through the systematic evaluation process. In order to estimate the proper static strength of doubler plate subjected to the longitudinal in-plane compression, elasto-plastic large deflection analysis is introduced including the contact effect between main plate and doubler. The characteristics of stiffness and strength variation are discussed based on their results. Also, in order to compare the doubler structure with the original strength of main plate without doubler, a simple formula for the evaluation of the equivalent flat plate thickness is derived based on the additional series analysis of flat plate structure. Using this derived equation, the thickness change of a equivalent flat plate is analyzed according to the variation of various design parameters of doubler plate and some design guides are suggested in order to maintain the original strength of main plate without doubler reinforcement. Finally, correlation between derived equivalent flat plate formula and the developed buckling strength formulas by author et al. is discovered and these relations are formulated for the future development of simple strength evaluation formula of doubler plate structure.

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A Boundary Integral Formulation for Vibration Problems of Plate using Laplace Transform (Laplace변환을 이용한 판 진동문제의 경계적분방정식 정식화)

  • 이성민;서일교;권택진
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1994.04a
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    • pp.9-16
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    • 1994
  • In this paper, a boundary integral equation for transient plate bending problem is proposed. Approach, using laplace transform is considered. The boundary integral equations with respect to deflection, normal slope, bending moment effective shear are presented and the effect of corner point is considered.

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Morphing of Composite Plate Using SMA Actuator (형상기억합금 작동기를 이용한 복합재 평판의 형상변형)

  • 김상헌;조맹효
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2003.10a
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    • pp.146-149
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    • 2003
  • Two-way shape memory effect(TWSME) under residual stresses are considered in the present study. The structure using two-way shape memory alloy(SMA) concept returns to its initial shape by increasing or decreasing temperature under the initially given residual stress. In the present study, we use a thermo-mechanical constitutive equation of SMA and laminated composite plates are considered as simple morphing structural components which are based on first order shear deformable laminated composite plate with large deflection. Numerical results of fully coupled SMA-composite structures are presented

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Analysis of periodically slotted dielectrically filled parallel-plate waveguide as a leaky wave antenna : E-polarization case (유전체로 채워진 주기적인 슬롯을 갖는 평행평판 도파관 누설파 안테나의 해석 : E-편파)

  • 이창원;조영기
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.7
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    • pp.30-35
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    • 1995
  • Periodically slotted dielectrically filled paralled-plate waveguide as a leaky wave antenna is analysed for E-polarization case. The homogeneous linear equation whose unknown is the surface current density over the conducting strip is formulated, from which the complex propagation constant is calculated and compared with the previous results. Good correspondence between them is observed. And a method for the radiation pattern is also considered.

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On the Limitation of Telegrapher′s Equations for Analysis of Nonuniform Transmission Lines

  • Kim, Se-Yun
    • Journal of electromagnetic engineering and science
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    • v.4 no.2
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    • pp.68-71
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    • 2004
  • The limitation of telegrapher's equations for analysis of nonuniform transmission lines is investigated here. It is shown theoretically that the input impedance of a nonuniform transmission line cannot be derived uniquely from the Riccati equation only except for the exponential transmission line of a particular frequency-dependent taper. As an example, the input impedance of an angled two-plate transmission line is calculated by solving the telegrapher's equations numerically. The numerical results suffer from larger deviation from its rigorous solution as the plate angle increases.

Analytical Solutions for the Inelastic Lateral-Torsional Buckling of I-Beams Under Pure Bending via Plate-Beam Theory

  • Zhang, Wenfu;Gardner, Leroy;Wadee, M. Ahmer;Zhang, Minghao
    • International journal of steel structures
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    • v.18 no.4
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    • pp.1440-1463
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    • 2018
  • The Wagner coefficient is a key parameter used to describe the inelastic lateral-torsional buckling (LTB) behaviour of the I-beam, since even for a doubly-symmetric I-section with residual stress, it becomes a monosymmetric I-section due to the characteristics of the non-symmetrical distribution of plastic regions. However, so far no theoretical derivation on the energy equation and Wagner's coefficient have been presented due to the limitation of Vlasov's buckling theory. In order to simplify the nonlinear analysis and calculation, this paper presents a simplified mechanical model and an analytical solution for doubly-symmetric I-beams under pure bending, in which residual stresses and yielding are taken into account. According to the plate-beam theory proposed by the lead author, the energy equation for the inelastic LTB of an I-beam is derived in detail, using only the Euler-Bernoulli beam model and the Kirchhoff-plate model. In this derivation, the concept of the instantaneous shear centre is used and its position can be determined naturally by the condition that the coefficient of the cross-term in the strain energy should be zero; formulae for both the critical moment and the corresponding critical beam length are proposed based upon the analytical buckling equation. An analytical formula of the Wagner coefficient is obtained and the validity of Wagner hypothesis is reconfirmed. Finally, the accuracy of the analytical solution is verified by a FEM solution based upon a bi-modulus model of I-beams. It is found that the critical moments given by the analytical solution almost is identical to those given by Trahair's formulae, and hence the analytical solution can be used as a benchmark to verify the results obtained by other numerical algorithms for inelastic LTB behaviour.

Optimal Design of Multi-Plate Clutch Featuring MR Fluid (MR 유체를 적용한 Multi-Plate Clutch의 최적설계)

  • Park, Jin-Young;Kim, Young-Choon;Oh, Jong-Seok;Jeon, Jae-Hoon;Jeong, Jun-Hong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.5
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    • pp.77-83
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    • 2020
  • 4WD technology is being actively applied to passenger cars. Therefore, dry multi-plate clutches are used for transfer cases. On the other hand, dry clutches have problems related to large vibrations and poor ride quality. To solve this problem, this paper proposes a multi-plate clutch with an MR fluid. When fastening the multi-plate clutch in the transfer case, the proposed MR clutch was applied to reduce the shock and friction, which is a key component in a four-wheel-drive system. MR multi-plate clutch has a fluid coupling mode and a compression mode. A torque model equation was derived for the optimal design. The analysis was performed using Ansys Maxwell to optimize the design parameters of the multi-plate clutch. Electromagnetic field analysis confirmed the strength of the magnetic field when the number of disks and plates were changed, and the maximum strength of the magnetic field was 0.45 Tesla. By applying this to the torque equation, the spacing between the plates was 2 mm, and the inner and outer diameters of the plates were selected to be 45 mm and 55 mm, respectively. Overall, this paper proposes an optimal design technique to maximize the performance of an MR multi-plate clutch.

A Study on the Design of Special Circular Plate Anchorage for Post-tension (원형 정착판을 사용한 포스트텐션 특수정착구의 설계에 관한 연구)

  • Choi, Kyu-Hyung;Lho, Byeong-Cheol;Lim, Jung-Hoon
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.20 no.6
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    • pp.73-83
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    • 2016
  • Bearing stress near anchor plates is usually very high due to prestressing force in anchorage zone of concrete structure used post-tensioned prestressed method. In order to effective utilization of cross section and crack control, appropriate size of anchorage plates should be used to prevent crack initiation and failure of concrete structures eventually. This study aims to suggest equation for effective area of bearing plate of rectangle type and circular type by Highway Bridge Design Specification and PTI etc. A shape factor according to bearing plate shape is suggested based on numerical analysis, and it can be used suitability for design of special anchorage plate dimension.