• Title/Summary/Keyword: Plate Convergence

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Optimal placement of piezoelectric actuator/senor patches pair in sandwich plate by improved genetic algorithm

  • Amini, Amir;Mohammadimehr, Mehdi;Faraji, Alireza
    • Smart Structures and Systems
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    • v.26 no.6
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    • pp.721-733
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    • 2020
  • The present study investigates the employing of piezoelectric patches in active control of a sandwich plate. Indeed, the active control and optimal patch distribution on this structure are presented together. A sandwich plate with honeycomb core and composite reinforced by carbon nanotubes in facesheet layers is considered so that the optimum position of actuator/sensor patches pair is guaranteed to suppress the vibration of sandwich structures. The sandwich panel consists of a search space which is a square of 200 × 200 mm with a numerous number of candidates for the optimum position. Also, different dimension of square and rectangular plates to obtain the optimal placement of piezoelectric actuator/senor patches pair is considered. Based on genetic algorithm and LQR, the optimum position of patches and fitness function is determined, respectively. The present study reveals that the efficiency and performance of LQR control is affected by the optimal placement of the actuator/sensor patches pair to a large extent. It is also shown that an intelligent selection of the parent, repeated genes filtering, and 80% crossover and 20% mutation would increase the convergence of the algorithm. It is noted that a fitness function is achieved by collection actuator/sensor patches pair cost functions in the same position (controllability). It is worth mentioning that the study of the optimal location of actuator/sensor patches pair is carried out for different boundary conditions of a sandwich plate such as simply supported and clamped boundary conditions.

A parametric study on the free vibration of a functionally graded material circular plate with non-uniform thickness resting on a variable Pasternak foundation by differential quadrature method

  • Abdelbaki, Bassem M.;Ahmed, Mohamed E. Sayed;Al Kaisy, Ahmed M.
    • Coupled systems mechanics
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    • v.11 no.4
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    • pp.357-371
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    • 2022
  • This paper presents a parametric study on the free vibration analysis of a functionally graded material (FGM) circular plate with non-uniform thickness resting on a variable Pasternak elastic foundation. The mechanical properties of the material vary in the transverse direction through the thickness of the plate according to the power-law distribution to represent the constituent components. The equation of motion of the circular plate has been carried out based on the classical plate theory (CPT), and the differential quadrature method (DQM) is employed to solve the governing equations as a semi-analytical method. The grid points are chosen based on Chebyshev-Gauss-Lobatto distribution to achieve acceptable convergence and better accuracy. The influence of geometric parameters, variable elastic foundation, and functionally graded variation for clamped and simply supported boundary conditions on the first three natural frequencies are investigated. Comparisons of results with similar studies in the literature have been presented and two-dimensional mode shapes for particular plates have been plotted to illustrate the effect of variable thickness profile.

Buckling of rectangular plates with mixed edge supports

  • Xiang, Y.;Su, G.H.
    • Structural Engineering and Mechanics
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    • v.14 no.4
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    • pp.401-416
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    • 2002
  • This paper presents a domain decomposition method for buckling analysis of rectangular Kirchhoff plates subjected to uniaxial inplane load and with mixed edge support conditions. A plate is decomposed into two rectangular subdomains along the change of the discontinuous support conditions. The automated Ritz method is employed to derive the governing eigenvalue equation for the plate system. Compatibility conditions are imposed for transverse displacement and slope along the interface of the two subdomains by modifying the Ritz trial functions. The resulting Ritz function ensures that the transverse displacement and slope are continuous along the entire interface of the two subdomains. The validity and accuracy of the proposed method are verified with convergence and comparison studies. Buckling results are presented for several selected rectangular plates with various combination of mixed edge support conditions.

Wideband Suppression of Radiated Emissions from a Power Bus in High-Speed Printed Circuit Boards

  • Shim, Yujeong;Kim, Myunghoi
    • Journal of information and communication convergence engineering
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    • v.14 no.3
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    • pp.184-190
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    • 2016
  • We present experimental demonstrations of electromagnetic bandgap (EBG) structures for the wideband suppression of radiated emissions from a power bus in high-speed printed circuit boards (PCBs). In most of the PCB designs, a parallel plate waveguide (PPW) structure is employed for a power bus. This structure significantly produces the wideband-radiated emissions resulting from parallel plate modes. To suppress the parallel plate modes in the wideband frequency range, the power buses based on the electromagnetic bandgap structure with a defected ground structure (DGS) are presented. DGSs are applied to a metal plane that is connected to a rectangular EBG patch by using a via structure. The use of the DGS increases the characteristic impedance value of a unit cell, thereby substantially improving the suppression bandwidth of the radiated emissions. It is experimentally demonstrated that the DGS-EBG structure significantly mitigates the radiated emissions over the frequency range of 0.5 GHz to 2 GHz as compared to the PPW.

Benchmark tests of MITC triangular shell elements

  • Jun, Hyungmin;Mukai, Paul;Kim, San
    • Structural Engineering and Mechanics
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    • v.68 no.1
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    • pp.17-38
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    • 2018
  • In this paper, we compare and assess the performance of the standard 3- and 6-node MITC shell elements (Lee and Bathe 2004) with the recently developed MITC triangular elements (Lee et al. 2014, Jeon et al. 2014, Jun et al. 2018) which were based on the partitions of unity approximation, bubble node, or both. The convergence behavior of the shell elements are measured in well-known benchmark tests; four plane stress tests (mesh distortion test, cantilever beam, Cook's skew beam, and MacNeal beam), two plate tests (Morley's skew plate and circular plate), and six shell tests (curved beam, twisted beam, pinched cylinder, hemispherical shells with or without hole, and Scordelis-Lo roof). To precisely compare and evaluate the solution accuracy of the shell elements, different triangular mesh patterns and distorted element mesh are adopted in the benchmark problems. All shell finite elements considered pass the basic tests; namely, the isotropy, the patch, and the zero energy mode tests.

A Comparative Study on the Displacement Behaviour of Triangular Plate Elements (삼각형 판 요소의 변위 거동에 대한 비교 연구)

  • 이병채;이용주;구본웅
    • Computational Structural Engineering
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    • v.5 no.2
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    • pp.105-118
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    • 1992
  • Static performance was compared for the triangular plate elements through some numerical experiments. Four Kirchhoff elements and six Mindlin elements were selected for the comparison. Numerical tests were executed for the problems of rectangular plates with regular and distorted meshes, rhombic plates, circular plates and cantilever plates. Among the Kirchhoff 9 DOF elements, the discrete Kirchhoff theory element was the best. Element distortion and the aspect ratio were shown to have negligible effects on the displacement behaviour. The Specht's element resulted in better results than the Bergan's but it was sensitive to the aspect ratio. The element based on the hybrid stress method also resulted in good results but it assumed to be less reliable. Among the linear Mindlin elements, the discrete shear triangle was the best in view of reliability, accuracy and convergence. Since the thin plate behaviour of it was as good as the DKT element, it can be used effectively in the finite element code regardless of the thickness. As a quadratic Mindlin element, the MITC7 element resulted in best results in almost all cases considered. The results were at least as good as those of doubly refined meshes of linear elements.

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A novel four variable refined plate theory for bending, buckling, and vibration of functionally graded plates

  • Hebali, Habib;Bakora, Ahmed;Tounsi, Abdelouahed;Kaci, Abdelhakim
    • Steel and Composite Structures
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    • v.22 no.3
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    • pp.473-495
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    • 2016
  • This work presents a bending, buckling, and vibration analysis of functionally graded plates by employing a novel higher-order shear deformation theory (HSDT). This theory has only four unknowns, which is even less than the first shear deformation theory (FSDT). A shear correction coefficient is, thus, not needed. Unlike the conventional HSDT, the present one has a new displacement field which introduces undetermined integral variables. Equations of motion are obtained by utilizing the Hamilton's principles and solved via Navier's procedure. The convergence and the validation of the proposed theoretical numerical model are performed to demonstrate the efficacy of the model.

P-version finite element analysis of the irregular shaped plater with singularities (특이성을 갖는 비정형 평판의 p-version 유한요소해석)

  • 우광성
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1990.04a
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    • pp.65-69
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    • 1990
  • The elastic analysis of floor slabs using the p-version of finite element method encounters stress singularities at certain types of reentrant corners, openings and cut-outs. Results obtained using the computer code based on C$\^$o/-hierarchic plate element formulated by Reissner-Mindlin theory are compared with theoretical predictions and with computational results reported in the literature. The convergence rate of h-, p- and hp-version can be estimated on the basis of the energy norm in global sense. If accuracy in terns of the number of degrees-of-freedom is used as a criterion, the solutions presented here are the most efficient that have been published up to date. Examples are the rhombic plate with the obtuse angle of 150o and the square plate with cut-outs.

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Improvement for Simulation of Device equipped with Heated Field Plate Using Analytic Model (분석적 모델을 이용한 Floated Field Plate구조가 있는 소자의 시뮬레이션 개선)

  • Byun, Dae-Seok;Kim, Han-Soo;Choi, Yearn-Ik;Han, Min-Koo
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.1283-1285
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    • 1993
  • A new simulation method for a device including the Floated Field Plate(FFP) is proposed. The external resistance is connected with FFP in order to simulate FFP as a electrode. The numerical I-V characteristic obtained from MEDICI simulation shows fairly good results such as low leakage current and abrupt breakdown voltage curve. The convergence is improved conveniently compared with conventional method which utilize heavily-doped poly silicon as a electrode.

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Structural Analysis and Performance Test of Variable Displacement Swash Plate Piston Pumps (가변용량형 사판식 피스톤 펌프의 구조해석 및 성능시험)

  • Lee, Jeong-Sil;Jun, Cha-Soo
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.21 no.7
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    • pp.105-113
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    • 2022
  • In this study, a variable displacement swash plate pump supplying high-pressure hydraulic oil to control the hydraulic system of a marine engine was developed. A structural analysis was performed on the main parts of the pump to ensure the structural safety in the design. Using a pump testing equipment, performance characteristics such as no-load flow rate, load flow rate, flow rate according to the swivel angle change, flow rate with lubrication orifice, and response time according to the swivel motion were tested. Consequently, the pump was confirmed to satisfy the required specifications.