• 제목/요약/키워드: shear stability index

검색결과 54건 처리시간 0.027초

On thermal stability of plates with functionally graded coefficient of thermal expansion

  • Bousahla, Abdelmoumen Anis;Benyoucef, Samir;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • 제60권2호
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    • pp.313-335
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    • 2016
  • In this article, a four-variable refined plate theory is presented for buckling analysis of functionally graded plates subjected to uniform, linear and non-linear temperature rises across the thickness direction. The theory accounts for parabolic distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. Young's modulus and Poisson ratio of the FGM plates are assumed to remain constant throughout the entire plate. However, the coefficient of thermal expansion of the FGM plate varies according to a power law form through the thickness coordinate. Equilibrium and stability equations are derived based on the present theory. The influences of many plate parameters on buckling temperature difference such ratio of thermal expansion, aspect ratio, side-to-thickness ratio and gradient index will be investigated.

Investigating nonlinear thermal stability response of functionally graded plates using a new and simple HSDT

  • Bensaid, Ismail;Bekhadda, Ahmed;Kerboua, Bachir;Abdelmadjid, Cheikh
    • Wind and Structures
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    • 제27권6호
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    • pp.369-380
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    • 2018
  • In this research work, nonlinear thermal buckling behavior of functionally graded (FG) plates is explored based a new higher-order shear deformation theory (HSDT). The present model has just four unknowns, by using a new supposition of the displacement field which enforces undetermined integral variables. A shear correction factor is, thus, not necessary. A power law distribution is employed to express the disparity of volume fraction of material distributions. Three kinds of thermal loading, namely, uniform, linear, and nonlinear and temperature rises over z-axis direction are examined. The non-linear governing equations are resolved for plates subjected to simply supported boundary conditions at the edges. The results are approved with those existing in the literature. Impacts of various parameters such as aspect and thickness ratios, gradient index, type of thermal load rising, on the non-dimensional thermal buckling load are all examined.

Vibration and stability of initially stressed sandwich plates with FGM face sheets in thermal environments

  • Chen, Chun-Sheng;Liu, Fwu-Hsing;Chen, Wei-Ren
    • Steel and Composite Structures
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    • 제23권3호
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    • pp.251-261
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    • 2017
  • In this paper, thermal effect on the vibration and stability of initially stressed sandwich plates with functionally graded material (FGM) face sheets is analyzed. Material properties of FGM face sheet are graded continuously in the thickness direction. The variation of FGM properties assumes a simple power law distribution in terms of the volume fractions of the constituents. The governing equations of arbitrarily initially-stressed sandwich plates including the effects of transverse shear deformation and rotary inertia are derived. The initial stress is taken to be a combination of a uniaxial extensional stress and a pure bending stress in the examples. The eigenvalue problems are formed to study the vibration and buckling characteristics of simple supported initially stressed FGM/metal/FGM plates. The effects of volume fraction index, temperature rise, initial stress and layer thickness of metal on the natural frequencies and buckling loads are investigated. The results reveal that the volume fraction index, initial stresses and layer thickness of metal have significant influence on the vibration and stability of sandwich plates with FGM face sheets.

Vibrations and thermal stability of functionally graded spherical caps

  • Prakash, T.;Singh, M.K.;Ganapathi, M.
    • Structural Engineering and Mechanics
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    • 제24권4호
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    • pp.447-461
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    • 2006
  • Here, the axisymmetric free flexural vibrations and thermal stability behaviors of functionally graded spherical caps are investigated employing a three-noded axisymmetric curved shell element based on field consistency approach. The formulation is based on first-order shear deformation theory and it includes the in-plane and rotary inertia effects. The material properties are graded in the thickness direction according to the power-law distribution in terms of volume fractions of the constituents of the material. The effective material properties are evaluated using homogenization method. A detailed numerical study is carried out to bring out the effects of shell geometries, power law index of functionally graded material and base radius-to-thickness on the vibrations and buckling characteristics of spherical shells.

Thermal buckling of functionally graded plates using a n-order four variable refined theory

  • Abdelhak, Z.;Hadji, L.;Daouadji, T.H.;Bedia, E.A.
    • Advances in materials Research
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    • 제4권1호
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    • pp.31-44
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    • 2015
  • This paper presents a simple n-order four variable refined theory for buckling analysis of functionally graded plates. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the present theory is reduced, and hence, makes it simple to use. The present theory is variationally consistent, uses the n-order polynomial term to represent the displacement field, does not require shear correction factor, and eliminates the shear stresses at the top and bottom surfaces. A power law distribution is used to describe the variation of volume fraction of material compositions. Equilibrium and stability equations are derived based on the present n-order refined theory. The non-linear governing equations are solved for plates subjected to simply supported boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. The effects of aspect and thickness ratios, gradient index, on the critical buckling are all discussed.

마요네즈의 유동 특성과 유화 안정성에 미치는 초산 농도의 영향 (Effects of Acetic Acid Concentration on Rheological Characteristics and Emulsion Stability of Mayonnaise)

  • 배효미;오명숙
    • 한국식품조리과학회지
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    • 제5권1호
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    • pp.9-13
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    • 1989
  • 초산용액의 초산농도를 0, 1, 2, 4, 6%로 변화하여 제조한 마요네즈의 유동 특성, 유화 안정성, 색도에 대하여 조사하였다. 마요네즈의 유동은 항복응력을 가지는 소성유동이며, 초산농도가 높아질수록 항복응력 및 점주도지수가 커져서 초산농도가 높아질수록 마요네즈의 물성이 점주해지는 것을 나타내었다. 마요네즈의 유화안정성은 초산농도가 높아질수록 감소하는 경향을 보였고, 초산노도 4%일 때 가장 안정성이 낮았다. 색도는 초산함량이 증가할수록 L값(명도)이 증가하고 b값(yellowness)은 감소하였다.

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계단 오르기와 내리기 시 가방착용 위치가 지면반력 파라미터에 미치는 영향 (Influence on the Ground Reaction Force Parameters According to Wearing Positions of Backpacks During Stair Ascending and Descending)

  • 현승현;류재청
    • 한국운동역학회지
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    • 제25권1호
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    • pp.85-94
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    • 2015
  • Purpose : The purpose of this study was to investigate the influence on the ground reaction force parameters according to wearing positions of backpack for during stair ascending and descending. Methods : Participants selected as subject were consisted of young female(n=10) and performed stairs walks(ascending and descending) with 2 types of wearing position(front of trunk[FT], rear of trunk[RT]). Passive(Fz 1) and active(Fz 2) forces of the vertical GRF were determined from time function and frequency domain. Also shear forces(Fx, Fy 1, Fy 2), dynamic postural stability index(MLSI, APSI, VSI, DPSI), loading rate and center of pressure (${\Delta}COPx$, ${\Delta}COPy$, COP area) were calculated from time function and frequency domain. Results : Fx, Fy 1, Fy 2, and Fz 1 in GRF didn't show significant differences statistically according to the wearing positions of backpack(p>.05), but stair descending showed higher forces than that of stair ascending. Particularly, Fz 2 of stair ascending showed higher forces than that of stair descending(p<.001), RT types showed higher than that of FT types(p<.05). MLSI, APSI, VSI, and DPSI of stair descending showed the increased stability index than that of stair ascending(p<.05), MLSI of RT types showed the decreased stability index than that of FT types(p<.05). Loading rate didn't show significant differences statistically according to the wearing positions of backpack(p>.05), but stair descending showed higher loading rate than that of stair ascending(p<.001). Also, ${\Delta}COPx$ in stair descending showed the increased movement than that of stair ascending(p<.05). Conclusions : A backpack of 10 kg(10 kg(ratio of body weights $17.61{\pm}1.17%$) showed significantly change GRF parameters according to wearing positions during stair ascending and descending. If possible, we suggest that the dynamic stability, in case of stairs walking with a smaller weights can be further improved.

경상남도 상북면 양산단층 서부지역에 대한 습윤지수 특성 연구 (Characterization of Wetness Index in Western Area of Yangsan Fault, Sangbuk-myeon, Kyeongnam-do)

  • 김성욱;한지영;이선갑;김상현;김춘식;김인수
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2004년도 춘계학술발표회
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    • pp.904-909
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    • 2004
  • The study area adjoins with Yangsan fault in Sangbuk-myeon, Samsam-ri, Kyongsang-namdo and consist of the natural steep slope. After drawing data layer which have altitude by using digital topography data, it is converted to lattice DEM of $10m{\times}10m$ size. From this, gradient map of unit lattice, slant direction map and shadow relif map are made. Using flow apportioning algorithm, upper slope contributing area and wetness index by established lattice can be calculated. Area that have high wetness index shows lineament structure of northwest-southeast direction, and this agrees with shear fracture system. The result of electricity specific resistance survey in the study area shows that area of high wetness index has low electricity specific resistance anomaly. That is, wetness index conforms with distribution of fractured zone that accompanied chemical weathering of rock. Therefore, wetness index can be used as the method of detecting fractured zones and judging the stability of the area.

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Stability analysis of functionally graded heterogeneous piezoelectric nanobeams based on nonlocal elasticity theory

  • Ebrahimi, Farzad;Barati, Mohammad Reza
    • Advances in nano research
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    • 제6권2호
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    • pp.93-112
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    • 2018
  • An analytical solution of the buckling governing equations of functionally graded piezoelectric (FGP) nanobeams obtained by using a developed third-order shear deformation theory is presented. Electro-mechanical properties of FGP nanobeam are supposed to change continuously in the thickness direction based on power-law model. To capture the small size effects, Eringen's nonlocal elasticity theory is adopted. Employing Hamilton's principle, the nonlocal governing equations of a FG nanobeams made of piezoelectric materials are obtained and they are solved using Navier-type analytical solution. Results are provided to show the effect of different external electric voltage, power-law index, nonlocal parameter and slenderness ratio on the buckling loads of the size-dependent FGP nanobeams. The accuracy of the present model is verified by comparing it with nonlocal Timoshenko FG beams. So, this study makes the first attempt for analyzing buckling behavior of higher order shear deformable FGP nanobeams.

불포화토이론을 이용한 강우시 열차운전규제기준 개발 (The Development of Rail-Transport Operation Control based on Unsaturated Soil Mechanics Concept)

  • 김현기;신민호;김수삼
    • 한국방재학회 논문집
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    • 제4권1호
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    • pp.25-31
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    • 2004
  • 강우침투는 철도성토사면의 불안정성을 유발하는 요인으로 작용하여 때때로 파괴의 결과로 나타나게 된다. 강우량과 철도성토사면 안정성과의 기본적인 상관성이 강우에 의한 성토사면의 불안정성을 분석하여 제안되었다. 사면내부로의 강우침투속도를 규명하기 위하여 실내시험을 수행하였으며, 강우침투실험결과에서 강우침투량은 강우침투속도가 사면경사에 의해 지배되기 때문에 저수지 등의 경우에 있어서의 침투와는 상당히 다르다는 것을 알 수 있었다. 이와 같은 견과에 근거하여 강우의 경계조건을 변화시켜 적용한 후, 다양한 수치해석을 수행하였다. 이를 통해 강우시 철도 성토사면의 전단강도, 포화도 그리고 간극수압의 변화를 예측할 수 있었으며, 철도사면의 안전율이 강우량-강우지수의 함수로서 표현될 수 있었다. 따라서 이 강우지수가 강우시 열차운전규제기준을 설정하기 위해 유용함을 밝혔다.