• Title/Summary/Keyword: plate thickness

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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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    • v.71 no.5
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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.

Buckling Load Analysis of Spot-Welded Structures (점용접된 구조물의 좌굴하중해석)

  • 이현철;심재준;안성찬;한근조
    • Journal of Korean Port Research
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    • v.14 no.1
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    • pp.87-95
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    • 2000
  • This stability of a plate structure is very crucial problem which results in wrinkle and buckling. In this study, the effect of the pattern of spot-welding points of the two rectangular plates on the compressive and shear buckling load is studied with respect to the thickness, aspect ratio of plates and number of welding spots. Buckling coefficient of the plate not welded was compared with that of two plates with various thickness to extract the effect of thickness. The effect of number of welding spots are studied in two directions, longitudinal and transverse directions. The conclusions obtained were that the reinforcement effect was maximized when the aspect ratio was close to 1.75 at compressive load condition and that the effect of number of welding spots in transverse direction was larger than that in longitudinal direction at shearing load condition.

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Analysis of functionally graded plates using a sinusoidal shear deformation theory

  • Hadji, Lazreg
    • Smart Structures and Systems
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    • v.19 no.4
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    • pp.441-448
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    • 2017
  • This paper uses the four-variable refined plate theory for the free vibration analysis of functionally graded material (FGM) rectangular plates. The plate properties are assumed to be varied through the thickness following a simple power law distribution in terms of volume fraction of material constituents. The theory presented is variationally consistent, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. Equations of motion are derived from the Hamilton's principle. The closed-form solutions of functionally graded plates are obtained using Navier solution. Numerical results of the refined plate theory are presented to show the effect of the material distribution, the aspect and side-to-thickness ratio on the fundamental frequencies. It can be concluded that the proposed theory is accurate and simple in solving the free vibration behavior of functionally graded plates.

A study on the resonant frequency of ceramic fitter using energy trapping effect (에너지 트래핑 효과를 이용한 세라믹 필터의 공진주파수에 관한 연구)

  • 박기엽;김원석;송준태
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1994.11a
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    • pp.139-142
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    • 1994
  • Ceramic filter using energy trapping pheonomenon is used bandpass filter at high frequency. In this paper, we analyzed theoretically ceramic filter characteristics of TS vibrational mode and also investigated experimentally it. The ceramic plate is PZT-4 poled in the thickness direction of Valpey Fisher Co. and electroded with two pairs. We analyzed the characteristics in appling to the all constant of ceramic and electrode material each other and vibrational mode. We also measured resonant frequency and bandpass width of the ceramic filter changing the thickness of ceramic plate and electrode spacing. Comparing of falter characteristics, theoretical value nearly corresponded with experimental value. So we saw that we can expect filter characteristics changing the thickness of ceramic plate and electrode spacing.

Hydrostatic Bearing Characteristics of Slipper in Piston Pump . Motor (액셜 피스톤 펌프 . 모터의 피스톤 구면부 정압 윤활특성)

  • 박경민;김종기;오석형;송규근;정재연
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2001.11a
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    • pp.186-193
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    • 2001
  • In the high pressure state, the leakage flow rate of hydraulics is one of serious problems and the great reason to decrease the volume efficiency. In this paper, I tried to clarify tribology characteristics for the slipper hydrostatic bearing in swash plate type axial piston pumps and motors by means of experiment . I measured the leakage flow rate between swash plate and piston shoe with change the supply pressure and oil temperature at a swash plate angle of 0。 . And I also investigated the slipper pocket pressure and calculated oil film thickness for theoretical method. So. 1 have analyzed the tribology characteristics of hydrostatic bearing for leakage flow rate and oil film thickness with oil temperature and supply pressure.

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Bucking Load Analysis of Spot-Welded Structures (점용접된 구조물의 좌굴하중해석)

  • 이현철;심재준;안성찬;한근조
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 1999.10a
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    • pp.265-272
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    • 1999
  • This stability of a plate structure is very crucial problem which results in wrinkle and bucking. In this study, the effect of the pattern of spot-welding points of the two rectangular plates on the compressive and shear bucking load is studied with respect to the thickness, aspect ratio of plates and number of welding spots. Buckling coefficient of the plate not welded was compared with that of two plates with various thickness to extract the effect of thickness. The effect of number of welding spots are studied in two directions, longitudinal and transverse directions. The conclusions obtained were that the reinforcement effect was maximized when the aspect ratio was close to 1.75 at compressive load condition and that the effect of number of welding spots in transverse direction was larger than that in longitudinal direction at shearing load condition.

A Study on Determination of Damping Layer Thickness to Reduce Heavy Impact Noise in Apartment Building Floors (공동주택 층간 중량충격소음의 효율적 저감을 위한 바닥구조 감쇠층 두께 선정에 관한 연구)

  • Shin, Yun-Ho;Kim, Kwang-Joon;Kim, Min-Bae;Nam, Dae-Ho
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.936-941
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    • 2005
  • Apartment building floor with a damping layer can be modeled as a sandwich plate. In order to reduce low frequency noise more efficiently due to heavy impact on such a floor, thickness of the damping layer needs to be optimized at the design stage. Modal loss factors are determined in this paper by RKU equation which is popular In sandwich plate theories. Optimum damping layer thickness determined at each mode is weighted so that several modes in the frequency range of interest can be included in a more systematic way. Furthermore, to reflect frequency-dependent characteristics of complex stiffness of the damping layer, an iteration method is proposed in finding modal frequencies.

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Ultimate strength of stiffened plates with pitting corrosion

  • Rahbar-Ranji, Ahmad;Niamir, Nabi;Zarookian, Arvin
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.7 no.3
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    • pp.509-525
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    • 2015
  • Predicting residual strength of corroded plates is of crucial importance for service life estimation of aged structures. A series of nonlinear finite element method is employed for ultimate strength analysis of stiffened plates with pitting corrosion. Influential parameters, including plate thickness, type and size of stiffeners, pit depth and degree of pitting are varied and more than 208 finite element models are analyzed. It is found that ultimate strength is reduced by increasing pit depth to thickness ratio. Thin and intermediate plates have minimum and maximum reduction of ultimate strength with stronger stiffeners, respectively. In weak stiffener, reduction of ultimate strength in thin and intermediate plates depends on DOP. Reduction of ultimate strength in thick plates depends on thickness of plate and DOP. For intermediate plates, reduction for all stiffeners regardless of shape and size are the same.

Analysis of plate deformations in thermal processing using the eigenstrain concept (고유변형율의 개념을 이용한 열가공공정시 판 변형 예측에 관한 연구)

  • 손광재;양영수
    • Proceedings of the KWS Conference
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    • 2002.05a
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    • pp.149-151
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    • 2002
  • In this study, a formula for thermal processing induced plate deformations, in terms of process parameters such as heat input and plate thickness, is developed analytically using an infinite laminated plate theory to consider cuboidal inclusion with an eigenstrains. When a plate has arbitrary heating lines, complex deformed shape of plate was calculated by the method estimating plate deformation proposed by this study. To make a curved surface of the ship hull, the line heating method is mainly used. Application in automatization of line heating was deliberate by using proposed method.

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Minimum Thickness Requirements of Flat Plate Considering Construction Scheme (시공 계획을 고려한 플랫 플레이트 최소 두께)

  • 강성훈;최경규;박홍근
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.10a
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    • pp.631-636
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    • 2002
  • It is common in multistory flat-plate structures that newly cast slabs are supported by a number of previously cast floors. Then the weight of newly cast slabs is imposed on shored previously cast floors as load, and this load may be large as double as dead load. Because early-age construction loads cause large immediate deflection and creep deflection with cracks, this loads influence long-term behavior of slabs. In current provision, the minimum thickness is required to satisfy serviceability But this minimum thickness based on historical precedent is determined by span length, therefore the minimum thickness of current provision can not includes properly the effect of construction scheme including the number of shored floors and construction cycle. In the present study, a minimum thickness criterion, which includes the effect of concrete strength, geometry of slabs and construction scheme, was developed from computer-based iteration using deflection calculation procedure of current code method.

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