• 제목/요약/키워드: Mindlin plate

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Vibration Analysis of Stiffened Thick Plate Subjected to Static Inplane Stress Using Finite Element Method (면내응력을 받는 보강 후판의 유한요소법에 의한 진동해석)

  • 오숙경;김일중;이용수
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.952-956
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    • 2004
  • The soil-structure interactions are caused by the point sources of explosions, deriving piles, compaction of foundations and excavations those are frequently arose in the construction sites. Thus the analysis of soil-structure interactions is one of the most important subjects in the fields of dynamic analysis and vibration control. From this viewpoint, the aim of this study is to collect the basic data for designing foundation structures throughout understanding the dynamic structural behavior, which is embodied by the dynamic analysis of soil-structure systems. In this study, the dynamic analyses of stiffened thick plates subjected to in-plane stress on elastic foundations are carried out. The foundation is modeled as Pasternak foundation that includes the continuity effect of foundations. Also both the Mindlin plate theory and Timoshenko beam-column theory are used for analyzing the thick plates and beams, respectively.

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An analysis of uniformly loaded RIC skew-Plates with all edges built-in (II) - Part 2 effects of edge ratio - (등분포 하중을 받는 4변고정 철근콘크리트 사판의 해석(II) -제2보 변장비의 영향-)

  • 조진구;이원준
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.28 no.1
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    • pp.75-82
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    • 1986
  • In this paper. the characteristics of mechanical behaviour due to various edge-ratio of uniformly loaded clamped skew-~plates has been described. In this study, the skew-plate was discretized using 8-noded isoparametric element and Mindlin's plate theory was adapted in finite element formulation. The edge-ratio 0.5,0.8,1.0,1.2,1.5,2.0 and 2.5 were considered. Hence, five cond- itions of the skew-angle, the seven levels of edge ratio were tried. When the edge-ratio was 2.5 or the edge-ratio was 2.0 and the skew-angle was less than 45 degree, the behaviour of the uniformly loaded the skew-plate with all edges clamped was independent of the skew-angle.

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Numerical procedure for the vibration analysis of arbitrarily constrained stiffened panels with openings

  • Cho, Dae Seung;Vladimir, Nikola;Choi, Tae Muk
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.6 no.4
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    • pp.763-774
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    • 2014
  • A simple and efficient vibration analysis procedure for stiffened panels with openings and arbitrary boundary conditions based on the assumed mode method is presented. Natural frequencies and modes are determined by solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange's equations of motion, where Mindlin theory is applied for plate and Timoshenko beam theory for stiffeners. The effect of stiffeners on vibration response is taken into account by adding their strain and kinetic energies to the corresponding plate energies whereas the strain and kinetic energies of openings are subtracted from the plate energies. Different stiffened panels with various opening shapes and dispositions for several combinations of boundary conditions are analyzed and the results show good agreement with those obtained by the finite element analysis. Hence, the proposed procedure is especially appropriate for use in the preliminary design stage of stiffened panels with openings.

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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Design Optimization of Structure-born Noise of Automobile (자동차 소음/진동의 최적 설계)

  • 왕세명;최경국;하리쿨카니
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.10a
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    • pp.104-109
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    • 1996
  • Continuum element sensitivity analysis (CONTESA) and system optimization (SYSOPT) for Noise, Vibration, and Harshness (NVH) have been developed and applied to automobile structures for sizing, topology, and configuration design using Mindlin plate and Timoshenko beam theories. The topology optimization has been developed using the density approach, sequential linear programming, and the adjoint variable method. CONTESA has been tested using various vehicle models. Optimized vehicles using CONTESA and SYSOPT are manufactured to validate the simulation-based design methodology.

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Dynamic Stability of Cylindrical Shells Subjected to Follower Forces (종동력을 받는 원통형 쉘의 동적 안정성에 관한 연구)

  • 김현순;김지환
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1997.10a
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    • pp.396-401
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    • 1997
  • Dynamic stability of cylindrical shells subjected to follower forces is analyzed in this paper. Motion of shells is formulated in curvilinear coordinates that is consistent with assumptions made in the Timoshenko beam and the Mindlin plate. Using the finite element method, the induced equations are reduced to an equation with finite degrees of freedom. The 9-node Lagrangian element is used, and reduced integration is used to avoid shear and membrane locking. The effects of thickness ratio on the dynamic stability of cylindrical shells are studied.

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Vibration Analysis of Mindlin-Plate Structures having Attachments by the Receptance Method (Receptance 방법에 의한 부가물을 갖는 Mindlin판유추 구조제의 진동해석)

  • S.Y. Han;J.H. Chung
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.3
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    • pp.98-106
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    • 1995
  • In ship and offshore structures, there exist many local structural systems which may be regarded as a combined structural systems composed of thick plates or double wall panels and attachments reducible to damped spring-mass systems. For vibration analysis of such a combined system an analytical method based on the receptance method is presented in this paper. The free vibrational characteristics and forced vibration responses of the combined system can be calculated by synthesis of receptances of the panel and attachments. To calculate receptances of the panel, it may be regarded as a Mindlin plate for consideration of effects of shear deformation and rotary inertia and the assumed mode-Lagrange's equation method is applied using Timoshenko beam function or polynomials having properties of Timoshenko beam function as trial functions. Through some numerical calculations, accuracy and efficiency of the presented method are shown.

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A Study on the Impulsive Response of Fragile Meterials Based on an Analytical Study of Impulsive Stresses in a Square Glass Plate (脆性材料의 衝擊應答에 관한 硏究)

  • 양동율;김기환;양인영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.3
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    • pp.481-488
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    • 1988
  • In the analysis of impulsive response of plate, Lagrange's theory, Reissner's theory and Mindlin's theory are generally used. But, in applying these theories the impulsive stresses directly underneath the concentrated impact point cannot be analyzed because the solution fails to converge. In this paper, therefore, an attempt for a supported square plate is made by using three-dimensional dynamic theory of elasticity on the supposition that the uniform distributed load acts on the central part of it. In order to clarify the validity of theoretical analysis, the strain variations are measured experimentally for a square glass plate. Finally it is shown that these theoretical results are in close agreement with the experimental results.

Nonlinear stability of non-axisymmetric functionally graded reinforced nano composite microplates

  • Loghman, Abbas;Arani, Ali Ghorbanpour;Barzoki, Ali Akbar Mosallaie
    • Computers and Concrete
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    • v.19 no.6
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    • pp.677-687
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    • 2017
  • The nonlinear buckling response of nano composite anti-symmetric functionally graded polymeric microplate reinforced by single-walled carbon nanotubes (SWCNTs) rested on orthotropic elastomeric foundation with temperature dependent properties is investigated. For the carbon-nanotube reinforced composite (CNTRC) microplate, a uniform distribution (UD) and four types of functionally graded (FG) distribution are considered. Based on orthotropic Mindlin plate theory, von Karman geometric nonlinearity and Hamilton's principle, the governing equations are derived. Generalized differential quadrature method (GDQM) is employed to calculate the non-linear buckling response of the plate. Effects of FG distribution type, elastomeric foundation, aspect ratio (thickness to width ratio), boundary condition, orientation of foundation orthotropy and temperature are considered. The results are validated. It is found that the critical buckling load without elastic medium is significantly lower than considering Winkler and Pasternak medium.

Reducing hydroelastic response of very large floating structures by altering their plan shapes

  • Tay, Z.Y.;Wang, C.M.
    • Ocean Systems Engineering
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    • v.2 no.1
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    • pp.69-81
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    • 2012
  • Presented herein is a study on reducing the hydroelastic response of very large floating structures (VLFS) by altering their plan shapes. Two different categories of VLFS geometries are considered. The first category comprises longish VLFSs with different fore/aft end shapes but keeping their aspect ratios constant. The second category comprises various polygonal VLFS plan shapes that are confined within a square boundary or a circle. For the hydroelastic analysis, the water is modeled as an ideal fluid and its motion is assumed to be irrotational so that a velocity potential exists. The VLFS is modeled as a plate by adopting the Mindlin plate theory. The VLFS is assumed to be placed in a channel or river so that only the head sea condition is considered. The results show that the hydroleastic response of the VLFS could be significantly reduced by altering its plan shape.