• 제목/요약/키워드: Partial Elasticity

검색결과 70건 처리시간 0.023초

The effects of stiffness strengthening nonlocal stress and axial tension on free vibration of cantilever nanobeams

  • Lim, C.W.;Li, C.;Yu, J.L.
    • Interaction and multiscale mechanics
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    • 제2권3호
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    • pp.223-233
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    • 2009
  • This paper presents a new nonlocal stress variational principle approach for the transverse free vibration of an Euler-Bernoulli cantilever nanobeam with an initial axial tension at its free end. The effects of a nanoscale at molecular level unavailable in classical mechanics are investigated and discussed. A sixth-order partial differential governing equation for transverse free vibration is derived via variational principle with nonlocal elastic stress field theory. Analytical solutions for natural frequencies and transverse vibration modes are determined by applying a numerical analysis. Examples conclude that nonlocal stress effect tends to significantly increase stiffness and natural frequencies of a nanobeam. The relationship between natural frequency and nanoscale is also presented and its significance on stiffness enhancement with respect to the classical elasticity theory is discussed in detail. The effect of an initial axial tension, which also tends to enhance the nanobeam stiffness, is also concluded. The model and approach show potential extension to studies in carbon nanotube and the new result is useful for future comparison.

Flapwise and non-local bending vibration of the rotating beams

  • Mohammadnejad, Mehrdad;Saffari, Hamed
    • Structural Engineering and Mechanics
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    • 제72권2호
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    • pp.229-244
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    • 2019
  • Weak form integral equations are developed to investigate the flapwise bending vibration of the rotating beams. Rayleigh and Eringen nonlocal elasticity theories are used to investigate the rotatory inertia and Size-dependency effects on the flapwise bending vibration of the rotating cantilever beams, respectively. Through repetitive integrations, the governing partial differential equations are converted into weak form integral equations. The novelty of the presented approach is the approximation of the mode shape function by a power series which converts the equations into solvable one. Substitution of the power series into weak form integral equations results in a system of linear algebraic equations. The natural frequencies are determined by calculation of the non-trivial solution for resulting system of equations. Accuracy of the proposed method is verified through several numerical examples, in which the influence of the geometry properties, rotatory inertia, rotational speed, taper ratio and size-dependency are investigated on the natural frequencies of the rotating beam. Application of the weak form integral equations has made the solution simpler and shorter in the mathematical process. Presented relations can be used to obtain a close-form solution for quick calculation of the first five natural frequencies of the beams with flapwise vibration and non-local effects. The analysis results are compared with those obtained from other available published references.

Prediction of the dynamic properties in rubberized concrete

  • Habib, Ahed;Yildirim, Umut
    • Computers and Concrete
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    • 제27권3호
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    • pp.185-197
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    • 2021
  • Throughout the previous years, many efforts focused on incorporating non-biodegradable wastes as a partial replacement and sustainable alternative for natural aggregates in cement-based materials. Currently, rubberized concrete is considered one of the most important green concrete materials produced by replacing natural aggregates with rubber particles from old tires in a concrete mixture. The main benefits of this material, in addition to its importance in sustainability and waste management, comes from the ability of rubber to considerably damp vibrations, which, when used in reinforced concrete structures, can significantly enhance its energy dissipation and vibration behavior. Nowadays, the literature has many experimental findings that provide an interesting view of rubberized concrete's dynamic behavior. On the other hand, it still lacks research that collects, interprets, and numerically investigates these findings to provide some correlations and construct reliable prediction models for rubberized concrete's dynamic properties. Therefore, this study is intended to propose prediction approaches for the dynamic properties of rubberized concrete. As a part of the study, multiple linear regression and artificial neural networks will be used to create prediction models for dynamic modulus of elasticity, damping ratio, and natural frequency.

Ultrasonic waves in a single walled armchair carbon nanotube resting on nonlinear foundation subjected to thermal and in plane magnetic fields

  • Selvamani, Rajendran;Jayan, M. Mahaveer Sree;Ebrahimi, Farzad
    • Coupled systems mechanics
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    • 제10권1호
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    • pp.39-60
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    • 2021
  • The present paper is concerned with the study of nonlinear ultrasonic waves in a magneto thermo (MT) elastic armchair single-walled carbon nanotube (ASWCNT) resting on polymer matrix. The analytical formulation is developed based on Eringen's nonlocal elasticity theory to account small scale effect. After developing the formal solution of the mathematical model consisting of partial differential equations, the frequency equations have been analyzed numerically by using the nonlinear foundations supported by Winkler-Pasternak model. The solution is obtained by ultrasonic wave dispersion relations. Parametric work is carried out to scrutinize the influence of the non local scaling, magneto-mechanical loadings, foundation parameters, various boundary condition and length on the dimensionless frequency of nanotube. It is noticed that the boundary conditions, nonlocal parameter, and tube geometrical parameters have significant effects on dimensionless frequency of nano tubes. The results presented in this study can provide mechanism for the study and design of the nano devices like component of nano oscillators, micro wave absorbing, nano-electron technology and nano-electro- magneto-mechanical systems (NEMMS) that make use of the wave propagation properties of armchair single-walled carbon nanotubes embedded on polymer matrix.

Modelling of graded rectangular micro-plates with variable length scale parameters

  • Aghazadeh, Reza;Dag, Serkan;Cigeroglu, Ender
    • Structural Engineering and Mechanics
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    • 제65권5호
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    • pp.573-585
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    • 2018
  • This article presents strain gradient elasticity-based procedures for static bending, free vibration and buckling analyses of functionally graded rectangular micro-plates. The developed method allows consideration of smooth spatial variations of length scale parameters of strain gradient elasticity. Governing partial differential equations and boundary conditions are derived by following the variational approach and applying Hamilton's principle. Displacement field is expressed in a unified way to produce numerical results in accordance with Kirchhoff, Mindlin, and third order shear deformation theories. All material properties, including the length scale parameters, are assumed to be functions of the plate thickness coordinate in the derivations. Developed equations are solved numerically by means of differential quadrature method. Proposed procedures are verified through comparisons made to the results available in the literature for certain limiting cases. Further numerical results are provided to illustrate the effects of material and geometric parameters on bending, free vibrations, and buckling. The results generated by Kirchhoff and third order shear deformation theories are in very good agreement, whereas Mindlin plate theory slightly overestimates static deflection and underestimates natural frequency. A rise in the length scale parameter ratio, which identifies the degree of spatial variations, leads to a drop in dimensionless maximum deflection, and increases in dimensionless vibration frequency and buckling load. Size effect is shown to play a more significant role as the plate thickness becomes smaller compared to the length scale parameter. Numerical results indicate that consideration of length scale parameter variation is required for accurate modelling of graded rectangular micro-plates.

동태 패널모형을 이용한 대일 상품수지 결정요인 분석 (Determinants of Korea's Goods Balances with Japan: Evidence from Dynamic Panel Model)

  • 김종구;황신모
    • 국제지역연구
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    • 제15권2호
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    • pp.331-350
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    • 2011
  • 본 연구는 1989-2009년 기간 동안의 MTI 2단위, 56개 품목의 대일 수출입 시계열 패널자료를 사용하여 대일 상품수지 함수를 추정하였다. 대일 상품수지 함수는 정태패널 모형과 거래비용을 고려한 동태패널모형을 사용하여 추정하였으며 실증분석결과 정태패널모형보다는 거래비용을 고려한 동태패널모형이 모형의 안정성이 우수한 것으로 나타났다. 안정적인 대일 상품수지 함수의 추정의 의미는 비록 대일 상품수지 적자가 지속되고 있더라도 양국교역은 양국후생에 도움이 된다는 것을 의미한다. 동태패널 분석결과 균형 상품수지로의 조정속도는 0.0389로 매우 느린 것으로 나타났으며 이는 대일상품수지 균형으로의 조정에 필요한 비용이 현재 상품수지 적자로 인한 비용보다 크기 때문이다. 상품수지에 대한 일본실질소득 탄력성과 한국실질소득 탄력성은 각각 4.38168과 -0.835225로 이론에 부한하는 부호를 나타내며 유의한 것으로 나타나, 대일 수출상품은 사치재의 성격을 갖는 반면 수입상품은 필수재의 성격을 갖는 것으로 나타났다. 대일 상품수지의 환율탄력성(${\partial}TB/{\partial}ER$)은 0.478435로 비탄력적인 것으로 밝혀졌다. 이는 환율변동이 대일 상품수지에 미치는 영향이 작은 반면 대일 상품수지변동은 큰 폭의 원/엔 실질환율을 변동시킬 수 있음을 의미한다.

FTA가 부산지역 제조업의 무역에 미치는 영향 (A Study on the Trade Effects of FTAs in Busan's Manufacturing Industry)

  • 황영순;김홍률
    • 통상정보연구
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    • 제14권4호
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    • pp.517-541
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    • 2012
  • 우리나라는 2012년 11월 현재 총 8건, 45개국과 자유무역협정(FTA)을 발효하고 있다. 본격적인 FTA 시대가 전개됨에 따라 부산도 FTA의 혜택을 직접적으로 얻고 있는데, 부산의 전체 교역의 약 36%는 FTA 체결국과의 교역이며, EU, ASEAN, 유럽자유무역연합(EFTA)와의 교역비중은 전국 평균보다 높다. 특히, 칠레, 싱가포르, 유럽국가들과의 교역은 부산의 지리적 여건, 산업구조상의 특성 등으로 인해 발효 이후 3년 동안 200% 이상 크게 증가하였다. 지난 11년간의 통계자료를 이용하여 부산 제조업의 수출 및 수입 수요함수를 추정한 결과 수출탄력성은 1.38으로 탄력적이고, 수입탄력성은 0.83으로 비탄력적으로 나타났다. 따라서 FTA 시대에도 부산 제조업의 무역흑자는 당분간 지속될 것으로 예상되었다. 그러나 그 원인이 수출단가 하락에 따른 수출확대라는 점에서 향후에도 안정적인 무역흑자를 유지할 것이라고 기대하기는 어렵다. 세계 45개국과의 FTA가 본격적으로 발효됨에 따라 부산 제조업의 무역흑자는 연간 1억 752만달러씩 증가하여 부산경제 활성화에 기여할 것으로 예상되었다. 주로 수출에서는 자동차, 철강, 선박, 일반기계, 자동차부품의 수출이 증가할 것이고, 수입에서는 정밀기계, 화학, 광물 등 원자재 및 자본재의 수입증가가 예상된다.

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부분적으로 가황된 EPDM 배합의 유변학적 특성 (Rheological Properties of a Partially Vulcanized Filled EPDM)

  • 김상구;이석현
    • Elastomers and Composites
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    • 제22권3호
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    • pp.213-218
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    • 1987
  • 고무중에서 polymer melt와 가장 유사한 유변학적 거동을 보이는 EPDM을 택하여, 가황반응속도를 조사하였으며, 이에 따라 부분적으로 가교도를 달리한 시편의 유변학적 특성을 capillary rheometer를 사용하여 검토하였다. 가교도가 0, 1.5, 3, 6%로 증가함에 따라 die 입구 및 출구에서의 압력 손실은 커지고, melt fracture가 일어나는 전단속도는 낮아지며 특히 die swell은 거의 직선적으로 증가하였다. 본 연구를 통하여 die swell, melt fracture, end effects등의 근원이 고분자 사슬의 탄성변형에 있음을 확인하였으며, 또한 압출, 압연등에서 흔히 관측되는 die swell의 요동이 가공중 발생할 수 있는 가황반응에 기인할 수도 있음을 보여준 것이다.

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Effect of fiber content on flexural properties of fishnet/GFRP hybrid composites

  • Raj, F. Michael;Nagarajan, V.A.;Elsi, S. Sahaya;Jayaram, R.S.
    • Steel and Composite Structures
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    • 제22권1호
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    • pp.13-24
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    • 2016
  • In the present paper, glass fibers are substituted partially with monofilament fishnet and polyester matrix for making the composites. The composite specimens were prepared in accordance with ASTM for analyzing the flexural strength and dynamic mechanical properties. Furthermore, machinability revealed the interaction of glass fiber and partial substituted monofilament fishnet fiber with the matrix. Fiber pullouts on the fractured specimen during the physical testing of the composites are also investigated by COSLAB microscope. The results reveal that the fishnet based composites have appreciably higher flexural properties. Furthermore, the glass fiber, woven roving and fishnet composite has more storage modulus and significant mechanical damping. The composite specimens were fabricated by hand lay-up method. Hence, these composites are the possible applications to develop the value added products. The results of this study are presented.

밀가루 첨가 및 발효시간에 따른 증편의 특성 (The effects of partial replacement of rice flour with wheat flour and fermentationi time on the characteristics of Jeung-Pyun)

  • 김영희
    • 대한가정학회지
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    • 제23권3호
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    • pp.63-73
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    • 1985
  • This study was conducted to investigate the effects of fermentation time and the proportion of wheat flour to rice flour on Jeung-Pyun's texture. Textural characteristics were examined through sensory Evaluation and Instron Universal testing machine. The properties examined through sensory evaluation were grain, softness, sourness, chewiness and overall quality. Wigh Instron, hardness, cohesivenessm elasticity, gumminess and chewiness were measured. RESULTS : 1. Sensory evaluation data indicated that Jeung-Pyun containing 25% wheat flour and fermented 2 hrs were obtained higher scores than any other Jeug-Pyuns in the grain, softness and overall quality. 2. pHs of Jeung-pyundough and Jeung-Pyun containing 100% rice flour were lower than pHs of those with wheat flour added. 3. Volume of Jeung-Pyun increased as the proportion of wheat flour to rice flour and the length of fermentation time increased. 4. Instron measurement indicated that the hardness of Jeung-Pyun with 50% wheat flour added and 2hrs fermentation time was higher than of others.

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