• 제목/요약/키워드: non-linear analysis of plates

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A new and simple HSDT for thermal stability analysis of FG sandwich plates

  • Menasria, Abderrahmane;Bouhadra, Abdelhakim;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Steel and Composite Structures
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    • 제25권2호
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    • pp.157-175
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    • 2017
  • The novelty of this work is the use of a new displacement field that includes undetermined integral terms for analyzing thermal buckling response of functionally graded (FG) sandwich plates. The proposed kinematic uses only four variables, which is even less than the first shear deformation theory (FSDT) and the conventional higher shear deformation theories (HSDTs). The theory considers a trigonometric variation of transverse shear stress and verifies the traction free boundary conditions without employing the shear correction factors. Material properties of the sandwich plate faces are considered to be graded in the thickness direction according to a simple power-law variation in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are assumed as uniform, linear and non-linear temperature rises within the thickness direction. An energy based variational principle is employed to derive the governing equations as an eigenvalue problem. The validation of the present work is checked by comparing the obtained results the available ones in the literature. The influences of aspect and thickness ratios, material index, loading type, and sandwich plate type on the critical buckling are all discussed.

보강재 보강 형태에 따른 특별직교 이방성 적층복합판의 고유진동수에 대한 종방향 모멘트 무시효과 (The Effect of Neglecting the Longitudinal Moment Terms on the Natural Frequency of Laminated Plates with Increasing Aspect Ratio)

  • 김덕현;김경진;이정호;박정호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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    • pp.109-116
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    • 1998
  • The method of vibration analysis used is the one developed by the senior author. He developed and reported, in 1974, a simple but exact method of calculating the natural frequency of beam and tower structures with irregular cross-sections and attached mass/masses. Since 1989, this method has been extended to two-dimensional problems with several types of given conditions and has been reported at several international conferences. This method uses the deflection influence surfaces. The finite difference method is used for this purpose, in this paper. In order to reduce the pivotal points required, the three simultaneous partial differential equations of equilibrium with three dependent variables, w, M$_{x}$, and $M_{y}$, are used instead of the one forth order partial differential equation. By neglecting the M$_{x}$ terms, the size of the matrices needed to solve the resulting linear equations are reduced to two thirds of the "non-modified" equations.tions.

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Development of a seismic retrofit system made of steel frame with vertical slits

  • Kang, Hyungoo;Adane, Michael;Chun, Seungho;Kim, Jinkoo
    • Steel and Composite Structures
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    • 제44권2호
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    • pp.283-294
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    • 2022
  • In this study, a new seismic retrofit scheme of building structures is developed by combining a steel moment frame and steel slit plates to be installed inside of an existing reinforced concrete frame. This device has the energy dissipation capability of slit dampers with slight loss of stiffness compared to the conventional steel frame reinforcement method. In order to investigate the seismic performance of the retrofit system, it was installed inside of a reinforced concrete frame and tested under cyclic loading. Finite element analysis was carried out for validation of the test results, and it was observed that the analysis and the test results match well. An analytical model was developed to apply the retrofit system to a commercial software to be used for seismic retrofit design of an example structure. The effectiveness of the retrofit scheme was investigated through nonlinear time-history response analysis (NLTHA). The cyclic loading test showed that the steel frame with slit dampers provides significant increase in strength and ductility to the bare structure. According to the analysis results of a case study building, the proposed system turned out to be effective in decreasing the seismic response of the model structure below the given target limit state.

풍도목 근분의 구조형태학적 특성 분석 (Morphological Characteristics Analysis of Root Plate in Wind-Uprooted Trees)

  • 김동엽;안병규;김명필;임상준
    • 한국산림과학회지
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    • 제103권2호
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    • pp.248-257
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    • 2014
  • 이 연구는 풍도목 근분의 구조형태적 특성을 파악하고, 풍향에 대응하는 수목뿌리의 발달 특성 및 수목의 지상부와 지하부 특성 간의 상관관계를 분석하고자 하는 목적으로 수행되었다. 이를 위해서 서울대학교 태화산 학술림에서 발생한 77 그루의 낙엽송과 24 그루의 잣나무 풍도목의 근분에 대한 현장조사를 실시하였다. 근분의 형태적 특성을 조사한 결과, 풍도목 근분은 타원형 혹은 원형의 평면형을 보이며, 측면에서 살펴보면 반 타원체의 형태를 보였다. 또한, 근분 내 뿌리의 발달 특성을 조사한 결과, 평균적으로 수목의 전도 방향에서 비전도 방향보다 뿌리의 개수가 더 많고, 뿌리 표면적이 더 큰 것으로 나타났다. 또한, 수목의 지상부와 지하부 특성 간의 선형상관관계를 조사한 결과, DBH는 수고보다 근분 크기와 뿌리 표면적에 대해 상대적으로 강한 선형적인 상관관계를 보였다. 이러한 상관관계 분석 결과를 토대로 상관관계가 뚜렷한 수목 지상부와 지하부 특성 간의 단순선형회귀식을 수립하였다.

Studying the nonlinear behavior of the functionally graded annular plates with piezoelectric layers as a sensor and actuator under normal pressure

  • Arefi, M.;Rahimi, G.H.
    • Smart Structures and Systems
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    • 제9권2호
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    • pp.127-143
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    • 2012
  • The present paper deals with the nonlinear analysis of the functionally graded piezoelectric (FGP) annular plate with two smart layers as sensor and actuator. The normal pressure is applied on the plate. The geometric nonlinearity is considered in the strain-displacement equations based on Von-Karman assumption. The problem is symmetric due to symmetric loading, boundary conditions and material properties. The radial and transverse displacements are supposed as two dominant components of displacement. The constitutive equations are derived for two sections of the plate, individually. Total energy of the system is evaluated for elastic solid and piezoelectric sections in terms of two components of displacement and electric potential. The response of the system can be obtained using minimization of the energy of system with respect to amplitude of displacements and electric potential. The distribution of all material properties is considered as power function along the thickness direction. Displacement-load and electric potential-load curves verify the nonlinearity nature of the problem. The response of the linear analysis is investigated and compared with those results obtained using the nonlinear analysis. This comparison justifies the necessity of a nonlinear analysis. The distribution of the displacements and electric potential in terms of non homogenous index indicates that these curves converge for small value of piezoelectric thickness with respect to elastic solid thickness.

Aspect ratios of code-designed steel plate shear walls for improved seismic performance

  • Verma, Abhishek;Sahoo, Dipti R.
    • Steel and Composite Structures
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    • 제42권1호
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    • pp.107-121
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    • 2022
  • Past studies have shown that the aspect ratio (width-to-height) of a steel plate shear wall (SPSW) can significantly affect its seismic response. SPSWs with lower aspect ratio (narrow SPSW) may experience low lateral stiffness and flexure dominated drift response. As the height of the frame increases, the narrow SPSWs prove to be uneconomical and demonstrate inferior seismic response than their wider counterparts. Moreover, the thicker web plates required for narrow SPSWs exerts high inward pull on the VBEs. The present study suggests the limiting values of the aspect ratio for an SPSW system by evaluating the seismic collapse performance of 3-, 6- and 9-story SPSW systems using FEMA P695 methodology. For this purpose, nonlinear models are developed. These models are validated with the past quasi-static experimental results. Non-linear static analyses and Incremental dynamic analyses are then carried. The results are then utilized to conservatively suggest the limiting values of aspect ratios for SPSW system. In addition to the conventional-SPSW (Conv-SPSW), the collapse performance of staggered-SPSW (S-SPSW) is also explored. Its performance is compared with the Conv-SPSW and the use of S-SPSW is suggested in the cases where SPSW with lower than recommended aspect ratio is desired.

후판 압연공정에서 폭방향 비대칭 변형거동 예측 및 설정모델에 관한 연구 (Prediction of Width-Direction Asymmetric Deformation Behavior and Its Setup Model in Plate Rolling)

  • 변상민
    • 대한기계학회논문집A
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    • 제35권11호
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    • pp.1437-1443
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    • 2011
  • 선박 건조를 위한 기본 자재인 후판은 압연공정을 통해 생산된다. 본 논문에서는 후판압연 중에 발생하는 폭방향 휨을 일으키는 비대칭 요인들을 제어할 수 있는 설정모델을 제시한다. 일련의 삼차원 유한요소해석을 통해서 휨과 비대칭 요인 사이의 관계를 예측한다. 그 관계를 무차원 변수로 이루어진 선형 방정식으로 수식화 시킴으로써 설정모델을 도출한다. 소재 폭방향으로 두께 편차와 온도차이가 있는 경우에 대해서 파이롯트 압연 시험으로 통해서 설정모델의 정도를 검증한다. 본 모델에 의해 예측된 휨 곡률이 각각의 비대칭 요인들에 의해 측정된 휨 곡률과 상당히 일치하는 결과를 보여 주었다.

Genetic Transformation of the Yeast Dekkera/Brettanomyces bruxellensis with Non-Homologous DNA

  • Miklenic, Marina;Stafa, Anamarija;Bajic, Ana;Zunar, Bojan;Lisnic, Berislav;Svetec, Ivan-Kresimir
    • Journal of Microbiology and Biotechnology
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    • 제23권5호
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    • pp.674-680
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    • 2013
  • Yeast Dekkera/Brettanomyces bruxellensis is probably the most common contaminant in wineries and ethanol production processes. The considerable economic losses caused by this yeast, but also its ability to produce and tolerate high ethanol concentrations, make it an attractive subject for research with potential for industrial applications. Unfortunately, efforts to understand the biology of D. bruxellensis and facilitate its broader use in industry are hampered by the lack of adequate procedures for delivery of exogenous DNA into this organism. Here we describe the development of transformation protocols (spheroplast transformation, LiAc/PEG method, and electroporation) and report the first genetic transformation of yeast D. bruxellensis. A linear heterologous DNA fragment carrying the kanMX4 sequence was used for transformation, which allowed transformants to be selected on plates containing geneticin. We found the spheroplast transformation method using 1M sorbitol as osmotic stabilizer to be inappropriate because sorbitol strikingly decreases the plating efficiency of both D. bruxellensis spheroplast and intact cells. However, we managed to modify the LiAc/PEG transformation method and electroporation to accommodate D. bruxellensis transformation, achieving efficiencies of 0.6-16 and 10-20 transformants/${\mu}g$ DNA, respectively. The stability of the transformants ranged from 93.6% to 100%. All putative transformants were analyzed by Southern blot using the kanMX4 sequence as a hybridization probe, which confirmed that the transforming DNA fragment had integrated into the genome. The results of the molecular analysis were consistent with the expected illegitimate integration of a heterologous transforming fragment.

Symbolic computation and differential quadrature method - A boon to engineering analysis

  • Rajasekaran, S.
    • Structural Engineering and Mechanics
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    • 제27권6호
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    • pp.713-739
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    • 2007
  • Nowadays computers can perform symbolic computations in addition to mere number crunching operations for which they were originally designed. Symbolic computation opens up exciting possibilities in Structural Mechanics and engineering. Classical areas have been increasingly neglected due to the advent of computers as well as general purpose finite element software. But now, classical analysis has reemerged as an attractive computer option due to the capabilities of symbolic computation. The repetitive cycles of simultaneous - equation sets required by the finite element technique can be eliminated by solving a single set in symbolic form, thus generating a truly closed-form solution. This consequently saves in data preparation, storage and execution time. The power of Symbolic computation is demonstrated by six examples by applying symbolic computation 1) to solve coupled shear wall 2) to generate beam element matrices 3) to find the natural frequency of a shear frame using transfer matrix method 4) to find the stresses of a plate subjected to in-plane loading using Levy's approach 5) to draw the influence surface for deflection of an isotropic plate simply supported on all sides 6) to get dynamic equilibrium equations from Lagrange equation. This paper also presents yet another computationally efficient and accurate numerical method which is based on the concept of derivative of a function expressed as a weighted linear sum of the function values at all the mesh points. Again this method is applied to solve the problems of 1) coupled shear wall 2) lateral buckling of thin-walled beams due to moment gradient 3) buckling of a column and 4) static and buckling analysis of circular plates of uniform or non-uniform thickness. The numerical results obtained are compared with those available in existing literature in order to verify their accuracy.

Screening of Herbal Medicines for Recovery of Acetaminophen-induced Hepatotoxicity

  • Sohn, Sung-Hwa;Lee, Hyo-Eun;Lee, Beom-Joon;Kim, Sung-Hoon;Shin, Min-Kyu;Hong, Moo-Chang;Bae, Hyun-Su;Kim, Yang-Seok
    • Molecular & Cellular Toxicology
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    • 제4권4호
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    • pp.331-337
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    • 2008
  • This study was conducted to quantitatively evaluate the recovery effects of herbal medicines on acetaminophen-induced hepatotoxicity. In the present study, the recovery effects of 251 herbal medicines on THLE-2 cells that had been damaged by acetaminophen were evaluated using an MTS assay. THLE-2 cells were cultured in 96-well plates and then pretreated with or without 60 ${\mu}M$ acetaminophen (${IC}_{50}$ value: 35.84) for 1 hr. Next, different herbal medicines were added to the wells, after which the cells were reincubated at $37^{\circ}C$ for 24 hr. After first round of screening, the candidate herbal medicines were selected based on a recovery rate of greater than 40% and their efficacy were then determined by dose response kinetic analysis. Among these extracts, 8 herbal medicines (Terminalia chebula, Pueraria lobata, Acronychia laurifolia, Lopatherum gracile, Oroxylum indicum, Cynanchum atratum, Senecio scandens, and Sophora flavescens) had a strong recovery effect on acetaminophen-induced damage in THLE-2 cells. Dose response non-linear regression analysis demonstrated that Senecio scandens showed the best recovery rate (98%), and that its ${EC}_{50}$ was 19.54 ng/mL. Additional studies of these herbal medicines should be conducted to determine if they possess novel therapeutic agents for the prevention or treatment of liver disorders.