• 제목/요약/키워드: Variable Displacement

검색결과 496건 처리시간 0.028초

Novel four-unknowns quasi 3D theory for bending, buckling and free vibration of functionally graded carbon nanotubes reinforced composite laminated nanoplates

  • Khadir, Adnan I.;Daikh, Ahmed Amine;Eltaher, Mohamed A.
    • Advances in nano research
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    • 제11권6호
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    • pp.621-640
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    • 2021
  • Effect of thickness stretching on mechanical behavior of functionally graded (FG) carbon nanotubes reinforced composite (CNTRC) laminated nanoplates resting on elastic foundation is analyzed in this paper using a novel quasi 3D higher-order shear deformation theory. The key feature of this theoretical formulation is that, in addition to considering the thickness stretching effect, the number of unknowns of the displacement field is reduced to four, and which is more than five in the other models. Single-walled carbon nanotubes (SWCNTs) are the reinforced elements and are distributed with four power-law functions which are, uniform distribution, V-distribution, O-distribution and X-distribution. To cover various boundary conditions, an analytical solution is developed based on Galerkin method to solve the governing equilibrium equations by considering the nonlocal strain gradient theory. A modified two-dimensional variable Winkler elastic foundation is proposed in this study for the first time. A parametric study is executed to determine the influence of the reinforcement patterns, power-law index, nonlocal parameter, length scale parameter, thickness and aspect ratios, elastic foundation, thermal environments, and various boundary conditions on stresses, displacements, buckling loads and frequencies of the CNTRC laminated nanoplate.

Flexural and free vibration responses of thick isotropic bridge deck using a novel two variable refined plate theory

  • Djidar, Fatima Zohra;Hebali, Habib;Amara, Khaled;Tounsi, Abdelouahed;Bendaho, Boudjema;Ghazwani, M.H.;Hussain, Muzamal
    • Structural Engineering and Mechanics
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    • 제82권6호
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    • pp.725-734
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    • 2022
  • This work presents a simple exponential shear deformation theory for the flexural and free vibration responses of thick bridge deck. Contrary to the existing higher order shear deformation theories (HSDT) and the first shear deformation theory (FSDT), the proposed model uses a new displacement field which incorporates undetermined integral terms and involves only two variables. Governing equations and boundary conditions of the theory are derived by the principle of virtual work. The simply supported thick isotropic square and rectangular plates are considered for the detailed numerical studies. Results of displacements, stresses and frequencies are compared with those of other refined theories and exact theory to show the efficiency of the proposed theory. Good agreement is achieved of the present results with those of higher order shear deformation theory (HSDT) and elasticity theory. Moreover, results demonstrate that the developed two variable refined plate theory is simple for solving the flexural and free vibration responses of thick bridge deck and can achieve the same accuracy of the existing HSDTs which have more number of variables.

An intelligent semi-active isolation system based on ground motion characteristic prediction

  • Lin, Tzu-Kang;Lu, Lyan-Ywan;Hsiao, Chia-En;Lee, Dong-You
    • Earthquakes and Structures
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    • 제22권1호
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    • pp.53-64
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    • 2022
  • This study proposes an intelligent semi-active isolation system combining a variable-stiffness control device and ground motion characteristic prediction. To determine the optimal control parameter in real-time, a genetic algorithm (GA)-fuzzy control law was developed in this study. Data on various types of ground motions were collected, and the ground motion characteristics were quantified to derive a near-fault (NF) characteristic ratio by employing an on-site earthquake early warning system. On the basis of the peak ground acceleration (PGA) and the derived NF ratio, a fuzzy inference system (FIS) was developed. The control parameters were optimized using a GA. To support continuity under near-fault and far-field ground motions, the optimal control parameter was linked with the predicted PGA and NF ratio through the FIS. The GA-fuzzy law was then compared with other control laws to verify its effectiveness. The results revealed that the GA-fuzzy control law could reliably predict different ground motion characteristics for real-time control because of the high sensitivity of its control parameter to the ground motion characteristics. Even under near-fault and far-field ground motions, the GA-fuzzy control law outperformed the FPEEA control law in terms of controlling the isolation layer displacement and the superstructure acceleration.

Novel quasi 3D theory for mechanical responses of FG-CNTs reinforced composite nanoplates

  • Alazwari, Mashhour A.;Daikh, Ahmed Amine;Eltaher, Mohamed A.
    • Advances in nano research
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    • 제12권2호
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    • pp.117-137
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    • 2022
  • Effect of thickness stretching on free vibration, bending and buckling behavior of carbon nanotubes reinforced composite (CNTRC) laminated nanoplates rested on new variable elastic foundation is investigated in this paper using a developed four-unknown quasi-3D higher-order shear deformation theory (HSDT). The key feature of this theoretical formulation is that, in addition to considering the thickness stretching effect, the number of unknowns of the displacement field is reduced to four, and which is more than five in the other models. Two new forms of CNTs reinforcement distribution are proposed and analyzed based on cosine functions. By considering the higher-order nonlocal strain gradient theory, microstructure and length scale influences are included. Variational method is developed to derive the governing equation and Galerkin method is employed to derive an analytical solution of governing equilibrium equations. Two-dimensional variable Winkler elastic foundation is suggested in this study for the first time. A parametric study is executed to determine the impact of the reinforcement patterns, nonlocal parameter, length scale parameter, side-t-thickness ratio and aspect ratio, elastic foundation and various boundary conditions on bending, buckling and free vibration responses of the CNTRC plate.

기둥-보 휨강도비와 단위하중법을 이용한 철골모멘트골조의 강성설계기법 (Drift Design Method of Steel Moment Frames by using Column-Beam Strength Ratios and Unit-Load Method)

  • 오병관;박효선;최세운
    • 한국전산구조공학회논문집
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    • 제29권6호
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    • pp.563-569
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    • 2016
  • 본 논문에서는 철골모멘트골조의 초기 강성과 연성을 동시에 조절하기 위해 기둥-보 휨강도비를 고려한 재분배 기법이 제시된다. 제시되는 기법은 총 구조물량과 기둥-보 휨강도비에 대한 제약조건을 만족시키면서 구조물의 최상층의 변위를 최소화한다. 고려된 설계변수는 구조부재의 단면적을 사용하며, 정식화된 문제로부터 최적의 결과를 얻기 위해 Sequential Quadratic Programming(SQP) 기법을 사용한다. 최상층의 횡변위에 대한 각 부재의 변위기여도를 단위하중법을 통해 구하고, 이를 최상층의 횡변위가 감소하도록 각 부재의 단면을 재설계한다. 각 부재의 변위기여도를 이용하여 부재의 단면을 재설계하는 과정은 구조물의 초기 강성을 향상시키는 효과를 가진다. 동시에, 제시된 기법은 기둥-보 휨강도비를 제약함으로써 구조물의 연성을 조절하도록 한다. 제시된 최적변위설계기법은 철골골조 예제에 적용하여 적용성을 검증한다. 적용한 결과 제시된 기법을 통해 구조물의 초기강성과 연성능력이 조절되는 것을 확인할 수 있었다.

COMSOL Multiphysics®와 PyLith의 순차 적용을 통한 지중 유체 주입과 유발지진 공탄성 수치 모사 기법 연구 (Sequential Use of COMSOL Multiphysics® and PyLith for Poroelastic Modeling of Fluid Injection and Induced Earthquakes)

  • 장찬희;김현나;소병달
    • 지질공학
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    • 제32권4호
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    • pp.643-659
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    • 2022
  • 최근 지중저장기술(예, 온실가스 심지층 처분, 인공지열저류층 발전 등)이 활발히 수행됨에 따라, 유체 주입과 저장부지 안정성 사이의 역학적 관계에 관한 정량적 이해의 중요성이 인지되고 있다. 지중 유체 주입은 공극압 및 지중응력 교란과 지층의 역학적 불안정성을 야기할 수 있어, 유체 주입에 대한 다공탄성 수치 모형 구축이 요구된다. 본 연구에서는 순차적인 COMSOL-PyLith-COMSOL 유체 주입-유발지진 다공탄성 수치 모사를 수행한다. 유한요소 상용 소프트웨어인 COMSOL을 이용해 단층에 가해지는 쿨롱 파괴 응력(CFS) 변화를 시간에 따라 추적하였고, CFS 변화량이 임계값(예, 0.1 MPa)을 초과할 경우, 모형의 정보(기하구조, 물성 등)를 유한요소 오픈소스 코드인 PyLith로 이동시키는 알고리즘을 구축했다. PyLith는 단층의 미끄러짐을 모사하고, 미끌림에 의한 변위장을 획득한다. 이후 변위장을 COMSOL로 이동시켜 지진에 의한 응력 및 표면 변위를 계산한다. 수치 모사 결과, 주입 기간 중엔 주입정 근거리에서 큰 변화(공극압, CFS 변화 등)를 보였고, 주입 종류 후에는 잔류 응력이 원거리 영역으로 확산하는 양상이 나타났다. 이는 주입 종료 후 지속적인 모니터링의 필요성을 제안한다. 또한, 단층과 주입층 물성(예, 투수계수, Biot-Willis 계수)에 따른 CFS 변화량 비교는 주입정 위치 선정 시 주입층 및 주변 지층에 대한 물성 파악이 중요함을 의미한다. 단층 미끄러짐 양에 따른 표면 변위 및 이암층에 가해지는 편차응력은 다양한 단층 미끌림 시나리오 설정의 필요성을 지시한다.

Psychosocial impact of malocclusion in Spanish adolescents

  • Bellot-Arcis, Carlos;Montiel-Company, Jose Maria;Almerich-Silla, Jose Manuel
    • 대한치과교정학회지
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    • 제43권4호
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    • pp.193-200
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    • 2013
  • Objective: To evaluate the psychosocial impact of malocclusion, determine its relationship with the severity of malocclusion, and assess the influence of gender and social class on this relationship in adolescents. Methods: A random sample of 627 Spanish adolescents aged 12 - 15 years underwent intraoral examinations by 3 calibrated examiners (intraexaminer and interexaminer kappa > 0.85) at their schools. Psychosocial impact was measured through a self-rated Psychosocial Impact of Dental Aesthetics Questionnaire (PIDAQ). The severity of malocclusion was measured by the Index of Orthodontic Treatment Need (IOTN). Gender and social class were also recorded. Results: The total PIDAQ score and those of its 4 subscales, social impact, psychological impact, aesthetic concern, and dental self-confidence, presented significant differences ($p{\leq}0.05$ by analysis of variance) and linear relationships with the IOTN grades ($p{\leq}0.05$ by linear regression). Stepwise linear regression models showed that the IOTN dental health component was a predictive variable of the total and subscale PIDAQ scores. Neither gender nor social class was an independent predictive variable of this relationship, except the linear model for psychological impact, where gender was a predictive variable. The occlusal conditions responsible for higher PIDAQ scores were increased overjet, impeded eruption, tooth displacement, and increased overbite. Conclusions: Malocclusion has a psychological impact in adolescents and this impact increases with the severity of malocclusion. Social class may not influence this association, but the psychological impact seems to be greater among girls.

Experiment of an ABS-type control strategy for semi-active friction isolation systems

  • Lu, Lyan-Ywan;Lin, Ging-Long;Lin, Chen-Yu
    • Smart Structures and Systems
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    • 제8권5호
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    • pp.501-524
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    • 2011
  • Recent studies have discovered that a conventional passive isolation system may suffer from an excessive isolator displacement when subjected to a near-fault earthquake that usually has a long-period velocity pulse waveform. Semi-active isolation using variable friction dampers (VFD), which requires a suitable control law, may provide a solution to this problem. To control the VFD in a semi-active isolation system more efficiently, this paper investigates experimentally the possible use of a control law whose control logic is similar to that of the anti-lock braking systems (ABS) widely used in the automobile industry. This ABS-type controller has the advantages of being simple and easily implemented, because it only requires the measurement of the isolation-layer velocity and does not require system modeling for gain design. Most importantly, it does not interfere with the isolation period, which usually decides the isolation efficiency. In order to verify its feasibility and effectiveness, the ABS-type controller was implemented on a variable-friction isolation system whose slip force is regulated by an embedded piezoelectric actuator, and a seismic simulation test was conducted for this isolation system. The experimental results demonstrate that, as compared to a passive isolation system with various levels of added damping, the semi-active isolation system using the ABS-type controller has the better overall performance when both the far-field and the near-fault earthquakes with different PGA levels are considered.

Diffusion-hydraulic properties of grouting geological rough fractures with power-law slurry

  • Mu, Wenqiang;Li, Lianchong;Liu, Xige;Zhang, Liaoyuan;Zhang, Zilin;Huang, Bo;Chen, Yong
    • Geomechanics and Engineering
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    • 제21권4호
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    • pp.357-369
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    • 2020
  • Different from the conventional planar fracture and simplified Newton model, for power-law slurries with a lower water-cement ratio commonly used in grouting engineering, flow model in geological rough fractures is built based on ten standard profiles from Barton (1977) in this study. The numerical algorithm is validated by experimental results. The flow mechanism, grout superiority, and water plugging of pseudo plastic slurry are revealed. The representations of hydraulic grouting properties for JRCs are obtained. The results show that effective plugging is based on the mechanical mechanisms of the fluctuant structural surface and higher viscosity at the middle of the fissure. The formulas of grouting parameters are always variable with the roughness and shear movement, which play a key role in grouting. The roughness can only be neglected after reaching a threshold. Grouting pressure increases with increasing roughness and has variable responses for different apertures within standard profiles. The whole process can be divided into three stationary zones and three transition zones, and there is a mutation region (10 < JRCs < 14) in smaller geological fractures. The fitting equations of different JRCs are obtained of power-law models satisfying the condition of -2 < coefficient < 0. The effects of small apertures and moderate to larger roughness (JRCs > 10.8) on the permeability of surfaces cannot be underestimated. The determination of grouting parameters depends on the slurry groutability in terms of its weakest link with discontinuous streamlines. For grouting water plugging, the water-cement ratio, grouting pressure and grouting additives should be determined by combining the flow conditions and the apparent widths of the main fracture and rough surface. This study provides a calculation method of grouting parameters for variable cement-based slurries. And the findings can help for better understanding of fluid flow and diffusion in geological fractures.

Effect of nonlinear elastic foundations on dynamic behavior of FG plates using four-unknown plate theory

  • Nebab, Mokhtar;Atmane, Hassen Ait;Bennai, Riadh;Tahar, Benabdallah
    • Earthquakes and Structures
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    • 제17권5호
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    • pp.447-462
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    • 2019
  • This present paper concerned with the analytic modelling for vibration of the functionally graded (FG) plates resting on non-variable and variable two parameter elastic foundation, based on two-dimensional elasticity using higher shear deformation theory. Our present theory has four unknown, which mean that have less than other higher order and lower theory, and we denote do not require the factor of correction like the first shear deformation theory. The indeterminate integral are introduced in the fields of displacement, it is allowed to reduce the number from five unknown to only four variables. The elastic foundations are assumed a classical model of Winkler-Pasternak with uniform distribution stiffness of the Winkler coefficient (kw), or it is with variables distribution coefficient (kw). The variable's stiffness of elastic foundation is supposed linear, parabolic and trigonometry along the length of functionally plate. The properties of the FG plates vary according to the thickness, following a simple distribution of the power law in terms of volume fractions of the constituents of the material. The equations of motions for natural frequency of the functionally graded plates resting on variables elastic foundation are derived using Hamilton principal. The government equations are resolved, with respect boundary condition for simply supported FG plate, employing Navier series solution. The extensive validation with other works found in the literature and our results are present in this work to demonstrate the efficient and accuracy of this analytic model to predict free vibration of FG plates, with and without the effect of variables elastic foundations.