• 제목/요약/키워드: classical plate theory

검색결과 179건 처리시간 0.022초

조립식 영구 쏘일네일링 공법의 개발을 위한 FRP평판의 휨해석에 관한 연구 (A Study on the Flexural Analysis of FRP Plate to Develop Fabricated Permanent Soil Nailing System)

  • 최훈;주형중;남정훈;윤순종
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 춘계학술발표대회 논문집
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    • pp.180-183
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    • 2005
  • Application of the soil nailing system is continuously extended to stabilize excavations and slopes. Although there are many applications in the construction site, the system is still needed to improve its mechanical performance and durability. So, the use of FRP for this system can be an alternative for the conventional system. Recently, there has been a greatly increased demand for the use of FRP (fiber reinforced plastic) in civil engineering applications due to their superior mechanical and physical properties. This paper presents an experimental and theoretical study on the flexural behavior of FRP plate to develop fabricated permanent soil nailing system. In this study, mechanical properties of FRP plate have been investigated. Rectangular FRP plates that is simply supported and uniformly loaded over the area of a circle at the center of plate are analyzed by experiment, classical plate theory, and finite element method. From the results of analysis we can determine the shape of curved FRP plate which will exert certain amount of prestressing force in soil nail.

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Free vibration and buckling analyses of functionally graded annular thin sector plate in-plane loads using GDQM

  • Mohammadimehr, Mehdi;Afshari, Hasan;Salemi, M.;Torabi, K.;Mehrabi, Mojtaba
    • Structural Engineering and Mechanics
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    • 제71권5호
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    • pp.525-544
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    • 2019
  • In the present study, buckling and free vibration analyses of annular thin sector plate made of functionally graded materials (FGMs) resting on visco-elastic Pasternak foundation, subjected to external radial, circumferential and shear in-plane loads is investigated. Material properties are assumed to vary along the thickness according to an power law with Poisson's ratio held constant. First, based on the classical plate theory (CPT), the governing equation of motion is derived using Hamilton's principle and then is solved using the generalized differential quadrature method (GDQM). Numerical results are compared to those available in the literature to validate the convergence and accuracy of the present approach. Finally, the effects of power-law exponent, ratio of radii, thickness of the plate, sector angle, and coefficients of foundation on the fundamental and higher natural frequencies of transverse vibration and critical buckling loads are considered for various boundary conditions. Also, vibration and buckling mode shapes of functionally graded (FG) sector plate have been shown in this research. One of the important obtained results from this work show that ratio of the frequency of FG annular sector plate to the corresponding values of homogeneous plate are independent from boundary conditions and frequency number.

A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory

  • Mokhtar, Youcef;Heireche, Houari;Bousahla, Abdelmoumen Anis;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Smart Structures and Systems
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    • 제21권4호
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    • pp.397-405
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    • 2018
  • In this paper, a novel simple shear deformation theory for buckling analysis of single layer graphene sheet is formulated using the nonlocal differential constitutive relations of Eringen. The present theory involves only three unknown and three governing equation as in the classical plate theory, but it is capable of accurately capturing shear deformation effects, instead of five as in the well-known first shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT). A shear correction factor is, therefore, not required. Nonlocal elasticity theory is employed to investigate effects of small scale on buckling of the rectangular nano-plate. The equations of motion of the nonlocal theories are derived and solved via Navier's procedure for all edges simply supported boundary conditions. The results are verified with the known results in the literature. The influences played by Effects of nonlocal parameter, length, thickness of the graphene sheets and shear deformation effect on the critical buckling load are studied. Verification studies show that the proposed theory is not only accurate and simple in solving the buckling nanoplates, but also comparable with the other higher-order shear deformation theories which contain more number of unknowns.

연단보강재가 설치된 직교이방성 평판의 좌굴해석 (Elastic Buckling Analysis of Orthotropic Plate with Edge Stiffener)

  • 윤순종;이원복
    • 대한토목학회논문집
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    • 제14권2호
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    • pp.281-290
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    • 1994
  • 본 논문은 pultrusion process를 통해서 생산된 섬유보강 플라스틱 평판이 축방향 압축력을 받을 경우 거동을 이론적인 방법으로 검토하였다. 평판의 한변 또는 양변에 보강재가 설치되었을 때 이 평판의 좌굴하중을 예측하기 위한 무차원 정밀해를 유도하였다. 이 정밀해는 직교이방성 평판의 고전적 이론을 기초로 하였으며 보강재와 평판의 접합부는 탄성구속되었다고 간주하였다. 유도된 식을 이용하여 구조용 섬유보강 플라스틱 부재의 플랜지 국부좌굴하중에 대한 보강재의 영향을 검토하였다.

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얇은 회전원판의 진동, 응력계측에 관한 연구 (A study on the vibration and the stress measurement of thin rotating discs)

  • 한응교;이명호;손민호
    • 오토저널
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    • 제13권2호
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    • pp.34-41
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    • 1991
  • In this study, the equations of motion of the thin annular plate with uniform thickness were derived from the classical theory of the plate. In addition the distribution of the inplane stress and the natural frequency due to the change of the ratio of the outer radius to the inner radius was presented by the analytic method using the numerical analysis. Results were compared with those from the experiment. As a result, the strain of rotating circular plate increased as the radius and rpm became greater, and the strain of radial direction was two times greater than that of transverse direction. Besides, it was confirmed that the natural frequency increased according to the decrease of the radius keeping the thickness constant.

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Large amplitude forced vibration of functionally graded nano-composite plate with piezoelectric layers resting on nonlinear elastic foundation

  • Yazdi, Ali A.
    • Structural Engineering and Mechanics
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    • 제68권2호
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    • pp.203-213
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    • 2018
  • This paper presents a study of geometric nonlinear forced vibration of carbon nano-tubes (CNTs) reinforcement composite plates on nonlinear elastic foundations. The plate is bonded with piezoelectric layers. The von Karman geometric nonlinearity assumptions with classical plate theory are employed to obtain the governing equations. The Galerkin and homotopy perturbation method (HPM) are utilized to investigate the effect of carbon nano-tubes volume fractions, large amplitude vibrations, elastic foundation parameters, piezoelectric applied voltage on frequency ratio and primary resonance. The results indicate that the carbon nano-tube volume fraction, applied voltage and elastic foundation parameters have significant effect on the hardening response of carbon nanotubes reinforced composite (CNTRC) plates.

Shear buckling analysis of cross-ply laminated plates resting on Pasternak foundation

  • Topal, Umut;Nazarimofrad, Ebrahim;Kholerdi, Seyed Ebrahim Sadat
    • Structural Engineering and Mechanics
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    • 제68권3호
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    • pp.369-375
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    • 2018
  • This paper presents the shear buckling analysis of symmetrically laminated cross-ply plates resting on Pasternak foundation under pure in-plane uniform shear load. The classical laminated plate theory is used for the shear buckling analysis of laminated plates. The Rayleigh-Ritz method with novel plate shape functions is proposed to solve the differential equations and a computer programming is developed to obtain the shear buckling loads. Finally, the effects of the plate aspect ratios, boundary conditions, rotational restraint stiffness, translational restraint stiffness, thickness ratios, modulus ratios and foundation parameters on the shear buckling of the laminated plates are investigated.

GUST 중에서의 2차원 수중익 해석 (An analysis of Two-Dimensional Hydrofoil in Gust)

  • 김형태;이창섭;양승일
    • 한국기계연구소 소보
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    • 제4권2호
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    • pp.49-63
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    • 1982
  • In this paper, a classical gust problem is treated by using the numerical lifting¬-surface theory to verify the effect of gust-a sudden fluctuating fluid velocity around an object, which is normal to the main stream direction-on the hydrody¬namic forces, especially the mean thrust in upstream direction, acting on the two¬-dimensional flat plate. In this case, the mean thrust wholly resorts to the leading edge suction, and it is the same situation to the case of the heaving plate in uniform flow. The ph¬enomenon of leading edge suction is very important for the flapping propulsion of animals, typical to fish and birds, and can be related to the prediction of the hydrodynamic forces acting on marine propellers operating in gustlike wakes of ships. The results of this paper can be easily superposed to those of the reference [1J in order to solve the problem of the two-dimensional oscillacting plate in gust

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압전 모터 스테이터의 진동 해석 (A Study on the Vibration of an Annular Piezoelectric Motor Stator)

  • 최종운;송오섭
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 1999년도 추계학술발표대회 논문집
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    • pp.15-21
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    • 1999
  • This study investigates the free and forced vibration characteristics of an annular piezoelectric motor stator constructed of two piezoelectric material layers and one stainless steel layer. The annular piezoelectric motor stator is subjected to a travelling load produced by piezo drive electrical voltage input to the two piezoelectric layers. The stator is modeled as an annular laminated plate based on the classical plate theory and the governing equations are derived via Hamilton's variational principle. Variation of the free vibration characteristics as a function of several design parameters has been studied and based on this result, the forced vibration responses to the input electricity of various frequencies and magnitudes are investigated. The obtained results will provide an important criterion, a priori, in the design of piezoelectric motors.

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Elastic Analysis of Plates Resting on Elastic Half-Space Considering the Local Segregation Between Plate and Foundation

  • Jinhwan-Cheung;Cho, Hyun-Yung
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1993년도 가을 학술발표회논문집
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    • pp.38-43
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    • 1993
  • It is one of classical problems in the elastic theory to analyze contact stresses between elastic bodies. Concrete pavements under traffic wheel loads can be considered as one of these typical problems. In this paper, an elastic plate resting on tensionless elastic half-space is analyzed by finite element method. The Boussinesq's solution of elastic half-space is used to evaluate the flexibility of foundation. One of the principal difficulties in solving the local seperation phenomena between plate and foundation is that the geometry of the system is unknown. To obtain the boundary of contact area, the flexibility matrix of foundation is modified after each cycle of analysis iteratively. Some numerical examples are presented by using these method.

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