• Title/Summary/Keyword: higher beam theory

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On the Improvement of the Accuracy of Higher Order Derivatives in the MLS(Moving Least Square) Difference Method via Mixed Formulation (MLS 차분법의 결정 변수에 따른 정확도 분석 및 혼합변분이론을 통한 미분근사 성능향상)

  • Kim, Hyun-Young;Kim, Jun-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.5
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    • pp.279-286
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    • 2020
  • In this study, we investigate the accuracy of higher order derivatives in the moving least square (MLS) difference method. An interpolation function is constructed by employing a Taylor series expansion via MLS approximation. The function is then applied to the mixed variational theorem in which the displacement and stress resultants are treated as independent variables. The higher order derivatives are evaluated by solving simply supported beams and cantilevers. The results are compared with the analytical solutions in terms of the order of polynomials, support size of the weighting function, and number of nodes. The accuracy of the higher order derivatives improves with the employment of the mean value theorem, especially for very high-order derivatives (e.g., above fourth-order derivatives), which are important in a classical asymptotic analysis.

The Results of Problem Solving according to Mental Demand of Items (문제에 포함된 조작단계수에 따른 문재해결 결과의 차이)

  • Ahn, Soo-Young;Kwon, Jae-Sool
    • Journal of The Korean Association For Science Education
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    • v.12 no.3
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    • pp.49-59
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    • 1992
  • New-Piagetian theory has proposed that mental capacity and mental demand do a critical role in human cognitive processes. In this study, the students' mental capacity and the mental demand of the given problems were examined. The principal findings of the study are as follows; (1) There was no significant difference among achievement scores of subjects (3rd grade students of middle school, 2nd grade students of high school, 3rd grade students of high school) in the items of balance that needed specific content knowledge. But, in the Newton's 2nd law items that needed specific content knowledge, there was significant difference be ween3rd grade students of middle school and high school students(2nd, 3rd). According to increase of mental demand, middle school students' achievement score appeared to decrease linearly. However high school students' achievement score didn't change untill they faced the items of critical mental demand. When mental demand was beyond critical mental demand,their score was decreased rapidly. (2) According to hierchical analysis of items, the more mental demand an item needed, the higher or at least the same hierachical item was. These results showed that mental demand was the main factor which decided diffculties of problem solving (3) It was possible for students to solve the newton's 2nd law item that had one or two more mental demand relative to balance beam item. Although the item needed the same mental demand.students recognized that the Newton's 2nd law items were easier than the balance beam items.

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Characteristics of Molecular Band Energy Structure of Lipid Oxidized Mammalian Red Blood Cell Membrane by Air-based Atmospheric Pressure Dielectric Barrier Discharge Plasma Treatment

  • Lee, Jin Young;Baik, Ku Youn;Kim, Tae Soo;Jin, Gi-Hyeon;Kim, Hyeong Sun;Bae, Jae Hyeok;Lee, Jin Won;Hwang, Seung Hyun;Uhm, Han Sup;Choi, Eun Ha
    • Proceedings of the Korean Vacuum Society Conference
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    • 2014.02a
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    • pp.262.1-262.1
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    • 2014
  • Lipid peroxidation induces functional deterioration of cell membrane and induces cell death in extreme cases. These phenomena are known to be related generally to the change of physical properties of lipid membrane such as decreased lipid order or increased water penetration. Even though the electric property of lipid membrane is important, there has been no report about the change of electric properties after lipid peroxidation. Herein, we demonstrate the molecular energy band change in red blood cell membrane through peroxidation by air-based atmospheric pressure DBD plasma treatment. Ion-induced secondary electron emission coefficient (${\gamma}$ value) was measured by using home-made gamma-focused ion beam (${\gamma}$-FIB) system and electron energy band was calculated based on the quantum mechanical Auger neutralization theory. The oxidized lipids showed higher gamma values and lower electron work functions, which implies the change of surface charging or electrical conductance. This result suggests that modified electrical properties should play a role in cell signaling under oxidative stress.

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Surface energy assisted gecko-inspired dry adhesives

  • Rahmawan, Yudi;Kim, Tae-Il;Kim, Seong-Jin;Lee, Kwang-Ryeol;Moon, Myoung-Woon;Suh, Kahp-Yang
    • Proceedings of the Korean Vacuum Society Conference
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    • 2011.02a
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    • pp.449-449
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    • 2011
  • We reported the direct effect of intrinsic surface energy of dry adhesive material to the Van der Waals and capillary forces contributions of the total adhesion force in an artificial gecko-inspired adhesion system. To mimic the gecko foot we fabricated tilted nanohairy structures using both lithography and ion beam treatment. The nanohairy structures were replicated from Si wafer mold using UV curable polymeric materials. The control of nanohairs slanting angles was based on the uniform linear argon ion irradiation to the nanohairy polymeric surface. The surface energy was studied utilizing subsequent conventional oxygen ion treatment on the nanohairy structures which resulted in gradient surface energy. Our shear adhesion test results were found in good agreement with the accepted Van der Waals and capillary forces theory in the gecko adhesion system. Surface energy would give a direct impact to the effective Hamaker constant in Van der Waals force and the filling angle (${\varphi}$) of water meniscus in capillary force contributions of gecko inspired adhesion system. With the increasing surface energy, the effective Hamaker constant also increased but the filling angle decreased, resulting in a competition between the two forces. Using a simple mathematical model, we compared our experimental results to show the quantitative contributions of Van der Waals and capillary forces in a single adhesion system on both hydrophobic and hydrophilic surfaces. We found that the Van der Waals force contributes about 82.75% and 89.97% to the total adhesion force on hydrophilic and hydrophobic test surfaces, respectively, while the remaining contribution was occupied by capillary force. We also showed that it is possible to design ultrahigh dry adhesive with adhesion strength of more than 10 times higher than apparent gecko adhesion force by controlling the surface energy and the slanting angle induced-contact line of dry adhesive the materials.

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Deformations of Cantilever Strips and Beam with Small Elastic Strains (작은 탄성 변형률 하의 고정-자유 지지된 스트립과 보의 변형)

  • 호광수;박기철;임세영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.4
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    • pp.572-582
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    • 1989
  • Elastic deformations of an infinitely long strip and a beam loaded by uniform pressure upon their upper surfaces, with the fixed-free end dondition, are considered within the range of small strains. All local governing equations are satisfied up to first order in strains, and to take into account the higher order terms neglected in the local governing equations, the overall equilibrium is imposed exactly up to the leading order. The success of the approach relies upon the semi-inverse method and the decomposition of deformations in which the classical linear theory guides the solution. The solution bridges the gap between the two extremes-the classical solutions valid only for infinitesimal deformations and the solutions form the technical theories for deformations with large rotations. The solutions may be used to confirm the technical theories and to verify numerical solutions obtained from finite element analysis.

Investigation of the behavior of an RC beam strengthened by external bonding of a porous P-FGM and E-FGM plate in terms of interface stresses

  • Zahira Sadoun;Riadh Bennai;Mokhtar Nebab;Mouloud Dahmane;Hassen Ait Atmane
    • Structural Monitoring and Maintenance
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    • v.10 no.4
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    • pp.315-337
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    • 2023
  • During the design phase, it is crucial to determine the interface stresses between the reinforcing plate and the concrete base in order to predict plate end separation failures. In this work, a simple theoretical study of interface shear stresses in beams reinforced with P-FGM and E-FGM plates subjected to an arbitrarily positioned point load, or two symmetrical point loads, was presented using the linear elastic theory. The presence of pores in the reinforcing plate distributed in several forms was also taken into account. For this purpose, we analyze the effects of porosity and its distribution shape on the interracial normal and shear stresses of an FGM beam reinforced with an FRP plate under different types of load. Comparisons of the proposed model with existing analytical solutions in the literature confirm the feasibility and accuracy of this new approach. The influence of different parameters on the interfacial behavior of reinforced concrete beams reinforced with functionally graded porous plates is further examined in this parametric study using the proposed model. From the results obtained in this study, we can say that interface stress is significantly affected by several factors, including the pores present in the reinforcing plate and their distribution shape. Additionally, we can conclude from this study that reinforcement systems with composite plates are very effective in improving the flexural response of reinforced RC beams.

Dynamic response of FG porous nanobeams subjected thermal and magnetic fields under moving load

  • Esen, Ismail;Alazwari, Mashhour A.;Eltaher, Mohamed A;Abdelrahman, Alaa A.
    • Steel and Composite Structures
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    • v.42 no.6
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    • pp.805-826
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    • 2022
  • The free and live load-forced vibration behaviour of porous functionally graded (PFG) higher order nanobeams in the thermal and magnetic fields is investigated comprehensively through this work in the framework of nonlocal strain gradient theory (NLSGT). The porosity effects on the dynamic behaviour of FG nanobeams is investigated using four different porosity distribution models. These models are exploited; uniform, symmetrical, condensed upward, and condensed downward distributions. The material characteristics gradation in the thickness direction is estimated using the power-law. The magnetic field effect is incorporated using Maxwell's equations. The third order shear deformation beam theory is adopted to incorporate the shear deformation effect. The Hamilton principle is adopted to derive the coupled thermomagnetic dynamic equations of motion of the whole system and the associated boundary conditions. Navier method is used to derive the analytical solution of the governing equations. The developed methodology is verified and compared with the available results in the literature and good agreement is observed. Parametric studies are conducted to show effects of porosity parameter; porosity distribution, temperature rise, magnetic field intensity, material gradation index, non-classical parameters, and the applied moving load velocity on the vibration behavior of nanobeams. It has been showed that all the analyzed conditions have significant effects on the dynamic behavior of the nanobeams. Additionally, it has been observed that the negative effects of moving load, porosity and thermal load on the nanobeam dynamics can be reduced by the effect of the force induced from the directed magnetic field or can be kept within certain desired design limits by controlling the intensity of the magnetic field.

Estimation of the Elastic Stiffness of TW-HDS Assembly (너비감소 판형 홀다운스프링 집합체의 탄성강성도 평가)

  • Song, Kee-Nam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.1
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    • pp.180-187
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    • 1997
  • A formula for estimating the elastic stiffness of TW-HDS with a uniformly tapered width from w$_{0}$ to w$_{1}$ over the length, has been analytically derived based on Euler beam theory and Castigliano's theorem. Elastic stiffnesses of the TW-HDSs designed in the same dimensional design spaces as the KOFA HDSs have been estimated from the derived formula, in addition, a sensitivity study on the elastic stiffness of the TW-HDSs has been carried out. Analysis results show that elastic stiffnesses of the TW-HDSs have been by far higher than those of the KOFA HDSs, and that, as the effects of axial and shear force on the elastic stiffness have been 0.15-0.21%, most of the elastic stiffness is attributed to the bending moment. As a result of sensitivity analysis, the elastic stiffness sensitivity at each design variable is quantified and design variables having remarkable sensitivity are identified. Among the design variables, leaf thickness is identified as that of having the most remarkable sensitivity of the elastic stiffness.

Post-buckling analysis of aorta artery under axial compression loads

  • Akbas, Seref Doguscan;Mercan, Kadir;Civalek, Omer
    • Advances in nano research
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    • v.8 no.3
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    • pp.255-264
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    • 2020
  • Buckling and post-buckling cases are often occurred in aorta artery because it affected by higher pressure. Also, its stability has a vital importance to humans and animals. The loss of stability in arteries may lead to arterial tortuosity and kinking. In this paper, post-buckling analysis of aorta artery is investigated under axial compression loads on the basis of Euler-Bernoulli beam theory by using finite element method. It is known that post-buckling problems are geometrically nonlinear problems. In the geometrically nonlinear model, the Von Karman nonlinear kinematic relationship is employed. Two types of support conditions for the aorta artery are considered. The considered non-linear problem is solved by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. The aorta artery is modeled as a cylindrical tube with different average diameters. In the numerical results, the effects of the geometry parameters of aorta artery on the post-buckling case are investigated in detail. Nonlinear deflections and critical buckling loads are obtained and discussed on the post-buckling case.

Free Vibrations of Compressive Members Resting on Linear Elastic Foundation (선형 탄성지반 위에 놓인 압축부재의 자유진동)

  • 이병구;이광범;모정만;신성철
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.42 no.6
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    • pp.122-129
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    • 2000
  • The purpose of this study is to investigate both the fundamental and some higher natural frequencies and mode shapes of compressive members resting on the linear elastic foundation. The model of compressive member is based on the classical Bernoulli-Euler beam theory. The differential equation governing free vibrations of such members subjected to an axial load is derived and solved numerically for calculating the natural frequencies and mode shapes. The Improved Euler method is used to integrate the differential equation and the Determinant Search method combined with the Regula-Falsi method to determine the natural frequencies, respectively. In numerical examples, the hinged-hinged, hinged-clamped, clamped-hinged and clamped-clamped end constraints are considered. The convergence analysis is conducted for determining the available step size in the Improved Euler method. The validation of theories developed herein is also conducted by comparing the numerical results between this study and SAP 90. The non-dimensional frequency parameters are presented as the non-dimensional system parameters: section ratio, modulus parameter and load parameter. Also typical mode shapes are presented.

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