• 제목/요약/키워드: Semi-analytical method

검색결과 299건 처리시간 0.024초

Vibrational behavior of exponentially graded joined conical-conical shells

  • Rezaiee-Pajand, Mohammad;Sobhani, Emad;Masoodi, Amir R.
    • Steel and Composite Structures
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    • 제43권5호
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    • pp.603-623
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    • 2022
  • This article is dedicated to predict the natural frequencies of joined conical shell structures made of Functionally Graded Material (FGM). The structure includes two conical segments. The equivalent material properties are found by using the rule of mixture based on Voigt model. In addition, three well-known patterns are employed for distribution of material properties throughout the thickness of the structure. The main objective of the present research is to propose a novel exponential pattern and obtain the related equivalent material properties. Furthermore, the Donnell type shell theory is used to obtain the governing equations of motion. Note that these equations are obtained by employing First-order Shear Deformation Theory (FSDT). In order to discretize the governing system of differential equations, well-known and efficient semi-analytical scheme, namely Generalized Differential Quadrature Method (GDQM), is utilized. Different boundary conditions are considered for various types of single and joined conical shell structures. Moreover, an applicable modification is considered for the continuity conditions at intersection position. In the first step, the proposed formulation is verified by solving some well-known benchmark problems. Besides, some new numerical examples are analyzed to show the accuracy and high capability of the suggested technique. Additionally, several geometric and material parameters are studied numerically.

Natural vibrations and hydroelastic stability of laminated composite circular cylindrical shells

  • Bochkareva, Sergey A.;Lekomtsev, Sergey V.
    • Structural Engineering and Mechanics
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    • 제81권6호
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    • pp.769-780
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    • 2022
  • This paper studies the dynamic behavior of laminated composite circular cylindrical shells interacting with a fluid. The mathematical formulation of the dynamic problem for an elastic body is developed based on the variational principle of virtual displacements and the relations of linear elasticity theory. The behavior of an ideal compressible fluid is described by the potential theory, the equations of which together with boundary conditions are transformed to a weak form. The hydrodynamic pressure exerted by the fluid on the internal surface of the shell is calculated according to the linearized Bernoulli equation. The numerical implementation of the mathematical formulation has been done using the semi-analytical finite element method. The influence of the ply angle and lay-up configurations of laminated composites on the natural vibration frequencies and the hydroelastic stability boundary have been analyzed for shells with different geometrical dimensions and under different kinematic boundary conditions set at their edges. It has been found that the optimal value of the ply angle depends on the level of filling of the shell with a fluid. The obtained results support the view that by choosing the optimal configuration of the layered composite material it is possible to change upwards or downwards the frequency and mode shape, as well as the critical velocity for stability loss over a wide range.

On the receding contact plane problem for bi-FGM-layers indented by a flat indenter

  • Cong Wang;Jie Yan;Rui Cao
    • Structural Engineering and Mechanics
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    • 제85권5호
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    • pp.621-633
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    • 2023
  • The major objective of this paper is to study the receding contact problem between two functional graded layers under a flat indenter. The gravity is assumed negligible, and the shear moduli of both layers are assumed to vary exponentially along the thickness direction. In the absence of body forces, the problem is reduced to a system of Fredholm singular integral equations with the contact pressure and contact size as unknowns via Fourier integral transform, which is transformed into an algebraic one by the Gauss-Chebyshev quadratures and polynomials of both the first and second kinds. Then, an iterative speediest descending algorithm is proposed to numerically solve the system of algebraic equations. Both semi-analytical and finite element method, FEM solutions for the presented problem validate each other. To improve the accuracy of the numerical result of FEM, a graded FEM solution is performed to simulate the FGM mechanical characteristics. The results reveal the potential links between the contact stress/size and the indenter size, the thickness, as well as some other material properties of FGM.

Semi analytical solutions for flexural-torsional buckling of thin-walled cantilever beams with doubly symmetric cross-sections

  • Gilbert Xiao;Silky Ho;John P. Papangelis
    • Structural Engineering and Mechanics
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    • 제87권6호
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    • pp.541-554
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    • 2023
  • An unbraced cantilever beam subjected to loads which cause bending about the major axis may buckle in a flexuraltorsional mode by deflecting laterally and twisting. For the efficient design of these structures, design engineers require a simple accurate equation for the elastic flexural-torsional buckling load. Existing solutions for the flexural-torsional buckling of cantilever beams have mainly been derived by numerical methods which are tedious to implement. In this research, an attempt is made to derive a theoretical equation by the energy method using different buckled shapes. However, the results of a finite element flexural-torsional buckling analysis reveal that the buckled shapes for the lateral deflection and twist rotation are different for cantilever beams. In particular, the buckled shape for the twist rotation also varies with the section size. In light of these findings, the finite element flexural-torsional buckling analysis was then used to derive simple accurate equations for the elastic buckling load and moment for cantilever beams subjected to end point load, uniformly distributed load and end moment. The results are compared with previous research and it was found that the equations derived in this study are accurate and simple to use.

물 시멘트비와 이산화탄소 농도에 따른 콘크리트의 장기 탄산화에 관한 해석적 연구 (According to Water Cement Ratio and Internal Temperature and Humidity, An Analytical Study on the Carbonation of Long-Term Concrete)

  • 이준해;박동천
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2020년도 가을 학술논문 발표대회
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    • pp.188-189
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    • 2020
  • In the field of architecture, concrete and steel bars are the most common and popular combinations. The relationship between the two in a structure is a complementary good that increases in utility when consuming both materials at the same time. However, the combination of the two, which has been perceived as semi-permanent, often faces repairs or reconstruction without its lifespan reaching decades. There are a number of deterioration factors at work for the reason for this phenomenon. Among them, the neutralization of concrete in particular refers to the process in which calcium hydroxide inside concrete reacts with carbon dioxide and loses alkalinity, which creates a corrosive environment for rebars inside concrete, causing serious damage to concrete. In this study, we intend to use a multi-physical analysis program using finite element analysis method to analyze the degree of carbonation according to the internal temperature and concentration of carbon dioxide in concrete, thereby contributing to the prediction of long-term neutralization of concrete and the research related to measures for neutralization of concrete.

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트리플루살 캅셀의 생물학적 동등성 평가 (Bioequivalence Test of Triflusal Capsules)

  • 박정숙;이미경;박경미;김진기;임수정;최성희;민경아;김종국
    • Biomolecules & Therapeutics
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    • 제9권4호
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    • pp.291-297
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    • 2001
  • The bioequivalence of two triflusal products was evaluated with 20 healthy volunteers following single oral dose according to the guidelines of Korea Food and Drug Administration (KFDA). Trisa $l^{R}$ capsule (Whanin Pharm. Corp., Korea) and Disgre $n^{R}$ capsule (Myung-In Pharm. Corp., Korea) were used as test product and reference product, respectively. Both products contain 300 mg of trifusal. One capsule of test product or reference product was orally administered to the volunteers, respectively, by randomized two period crossover study (2$\times$2 Latin square method). Blood samples were taken at predetermined time intervals for 4 hours and the determination of trifusal was accomplished using semi-microbore HPLC equipped with automated column switching system. The analytical method with HPLC was validated according to the Bioanalytic Method Validation guideline by F7A prior to determining the plasma samples. The pharmacokinetic parameters (AU $C_{0-4h}$ $C_{max}$ and $T_{max}$) were calculated and ANOVA test was utilized for statistical analysis of parameters. As a result of the assay validation, the limit of quantification of trifusal in human plasma by current assay procedure was 50 ng/ml using 500 $\mu$l of plasma. The accuracy of the assay was from 97.76% to 116.51% while the intra-day and inter-day coefficient of variation of the same concentration range was less than 15%. Average drug concentration at the designated time intervals and pharmacokinetic parameters calculated were not significantly different between two products (p>0.05). The difference of mean AU $C_{olongrightarrow4hr}$, $C_{max}$, and $T_{max}$ between the two products (2.92, 4.39, and -2.44%, respectively) were less than 20%. The power (1-$\beta$) and treatment difference ($\Delta$) for AU $C_{olongrightarrow4hr}$ and $C_{max}$ were more than 0.8 and less than 0.2, respectively. Although the power for $T_{max}$ was under 0.8, $T_{max}$ of the two products was not significantly different from each other (p>0.05). These results satisfied the criteria of KFDA guideline for bioequivalence, indicating the two products of triflusal were bioequivalent.quivalent.ent.ent.

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Analysis of critical fluid velocity and heat transfer in temperature-dependent nanocomposite pipes conveying nanofluid subjected to heat generation, conduction, convection and magnetic field

  • Fakhar, Mohammad Hosein;Fakhar, Ahmad;Tabatabaei, Hamidreza
    • Steel and Composite Structures
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    • 제30권3호
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    • pp.281-292
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    • 2019
  • In this paper, analysis of critical fluid velocity and heat transfer in the nanocomposite pipes conveying nanofluid is presented. The pipe is reinforced by carbon nanotubes (CNTs) and the fluid is mixed by $AL_2O_3$ nanoparticles. The material properties of the nanocomposite pipe and nanofluid are considered temperature-dependent and the structure is subjected to magnetic field. The forces of fluid viscosity and turbulent pressure are obtained using momentum equations of fluid. Based on energy balance, the convection of inner and outer fluids, conduction of pipe and heat generation are considered. For mathematical modeling of the nanocomposite pipes, the first order shear deformation theory (FSDT) and energy method are used. Utilizing the Lagrange method, the coupled pipe-nanofluid motion equations are derived. Applying a semi-analytical method, the motion equations are solved for obtaining the critical fluid velocity and critical Reynolds and Nusselt numbers. The effects of CNTs volume percent, $AL_2O_3$ nanoparticles volume percent, length to radius ratio of the pipe and shell surface roughness were shown on the critical fluid velocity, critical Reynolds and Nusselt numbers. The results are validated with other published work which shows the accuracy of obtained results of this work. Numerical results indicate that for heat generation of $Q=10MW/m^3$, adding 6% $AL_2O_3$ nanoparticles to the fluid increases 20% the critical fluid velocity and 15% the Nusselt number which can be useful for heat exchangers.

TLC 상 유도체화 반응을 이용한 아민 계 화합물의 Screening 방법 (Screening method for amines by derivatization reaction on TLC)

  • 최성운;이혜인;성낙도
    • 분석과학
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    • 제26권4호
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    • pp.228-234
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    • 2013
  • 국내에서 불법 유통 되거나 남용되고 있는 methamphetamine은 아민을 함유한 불법약물로서 그에 대한 신속하고 용이한 동정 및 정량적인 분석 방법은 불법약물 검사의 중요한 이슈가 되어왔다. 새로운 screening방법을 모색하기 위해 methamphetamine과 구조적으로 유사한 3종의 유기 화합물을 silica gel ($SiO_2$) TLC상에서 N-(9-Fluorenylmethoxycarbonyloxy)succinimide (FMOC-NHS)와 반응을 시켰다. TLC상 반응 생성물을 일반 유기합성 경로로 합성한 대조물질과 비교 확인한 다음, 이 방법의 검출한계(Limit of detection)를 조사하였다. 실험결과 유도체화 시약으로 사용한 FMOC-NHS는 TLC상에서 1차 및 2차 아민과 반응하여 UV-active한 화합물을 생성시키는 것을 확인하였다. 2D TLC 실험에서는 0.045-0.01 mg/mL ($2{\mu}L$ per spot), 그리고 1D co-spot TLC 실험에서 0.002-0.007 mg/mL ($2{\mu}L$ per spot)의 검출한계는 유도체화 시약의 농도에 대한 의존성을 나타내었다.

쉘 곡면 형상의 최적 설계를 위한 유한요소해석과 기하학적 모델링의 연동 (Development of Framework of Linkage between Geometric Modeling and Finite Element Analysis for Shape Optimization of Shell Surfaces)

  • 김현철;노희열;조맹효
    • 한국항공우주학회지
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    • 제31권8호
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    • pp.27-35
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    • 2003
  • 쉘의 기하 모델링과 해석은 각각 다른 배경과 목적을 가지고 발전되어 왔다. 따라서 기하 모델링과 해석을 통합한 설계 도구를 만들기에 기존의 방법은 적절하지 않다. 본 연구에서는 기하 모델링과 해석, 최적 설계를 통합한 개념을 제시한다. 이것은 B-스플라인 곡면의 표현방법에 기초를 두고 있다. 기하학적으로 정확한 쉘 유한요소를 도입하였으며, 최적 설계 부분에서는 곡면의 조정점을 설계변수로 택하였다. 또한 설계 민감도를 계산하기 위해서 준해석적 방법을 사용했고, 이를 바탕으로 순차적 선형계획법을 이용해 곡면의 형상 최적화를 수행하였다. 이렇게 개발된 통합설계 개념은 곡면의 모델링과 해석에 적합한 도구로 이용될 수 있다.

Buckling of thick deep laminated composite shell of revolution under follower forces

  • Khayat, Majid;Poorveis, Davood;Moradi, Shapour;Hemmati, Mona
    • Structural Engineering and Mechanics
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    • 제58권1호
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    • pp.59-91
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    • 2016
  • Laminated composite shells are commonly used in various engineering applications including aerospace and marine structures. In this paper, using semi-analytical finite strip method, the buckling behavior of laminated composite deep as well as thick shells of revolution under follower forces which remain normal to the shell is investigated. The stiffness caused by pressure is calculated for the follower forces subjected to external fibers in thick shells. The shell is divided into several closed strips with alignment of their nodal lines in the circumferential direction. The governing equations are derived based on first-order shear deformation theory which accounts for through thickness-shear flexibility. Displacements and rotations in the middle surface of shell are approximated by combining polynomial functions in the meridional direction as well as truncated Fourier series with an appropriate number of harmonic terms in the circumferential direction. The load stiffness matrix which accounts for variation of loads direction will be derived for each strip of the shell. Assembling of these matrices results in global load stiffness matrix which may be un-symmetric. Upon forming linear elastic stiffness matrix called constitutive stiffness matrix, geometric stiffness matrix and load stiffness matrix, the required elements for the second step analysis which is an eigenvalue problem are provided. In this study, different parameter effects are investigated including shell geometry, material properties, and different boundary conditions. Afterwards, the outcomes are compared with other researches. By considering the results of this article, it can be concluded that the deformation-dependent pressure assumption can entail to decrease the calculated buckling load in shells. This characteristic is studied for different examples.