• 제목/요약/키워드: zero-order solution

검색결과 182건 처리시간 0.023초

NONLINEAR ANALYSIS OF SELF-EXCITED VIBRATION IN WHEELED TRACTOR VEHICLE'S DRIVELINE

  • Li, X.H.;Zhang, J.W.;Zeng, C.C.
    • International Journal of Automotive Technology
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    • 제7권5호
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    • pp.535-545
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    • 2006
  • A nonlinear analysis of torsional self-excited vibration in the driveline system for wheeled towing tractors was presented, with a 2-DOF mathematical model. The vibration system was described as a second-order ordinary differential equation. An analytical approach was proposed to the solution of the second-order ODE. The mathematical neighborhood concept was used to construct the interior boundary and the exterior boundary. The ODE was proved to have a limit cycle by using $Poincar\'{e}-Bendixson$ Annulus Theorem when two inequalities were satisfied. Because the two inequalities are easily satisfied, the self-excited vibration is inevitable and even the initial slip rate is little. However, the amplitude will be almost zero when the third inequality is satisfied. Only in a few working modes of the towing tractor the third inequality is not satisfied. It is shown by experiments that the torsional self-excited vibration in the driveline of the vehicle is obvious.

Cylindrical bending of laminated cylindrical shells using a modified zig-zag theory

  • Icardi, Ugo
    • Structural Engineering and Mechanics
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    • 제6권5호
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    • pp.497-516
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    • 1998
  • A relatively simple two-dimensional multilayered shell model is presented for predicting both global quantities and stress distributions across the thickness of multilayered thick shells, that is based on a third-order zig-zag approach. As for any zig-zag model, the layerwise kinematics is accounted for, with the stress continuity conditions at interfaces met a priori. Moreover, the shell model satisfies the zero transverse shear stress conditions at the upper and lower free surfaces of the shell, irrespective of the lay-up. By changing the parameters in the displacement model, some higher order shell models are obtained as particular cases. Although it potentially has a wide range of validity, application is limited to cylindrical shell panels in cylindrical bending, a lot of solutions of two-dimensional models based on rather different simplyfying assumptions and the exact three-dimensional elasticity solution being available for comparisons for this benchmark problem. The numerical investigation performed by the present shell model and by the shell models derived from it illustrates the effects of transverse shear modeling and the range of applicability of the simplyfying assumptions introduced. The implications of retaining only selected terms depending on the radius-to-thickness ratio are focused by comparing the present solutions to the exact one and to other two-dimensional solutions in literature based on rather different simplyfying assumptions.

도립진자형 이족보행로봇의 유연한 궤적 생성 (A Smooth Trajectory Generation for an Inverted Pendulum Type Biped Robot)

  • 노경곤;공정식;김진걸;강찬수
    • 한국정밀공학회지
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    • 제22권7호
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    • pp.112-121
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    • 2005
  • This paper is concerned with smooth trajectory generation of biped robot which has inverted pendulum type balancing weight. Genetic algorithm is used to generate the trajectory of the leg and balancing weight. Balancing trajectory can be determined by solving the second order differential equation under the condition that the reference ZMP (Zero moment point) is settled. Reference ZMP effect on gait pattern absolutely but the problem is how to determine the reference ZMP. Genetic algorithm can find optimal solution under the high order nonlinear situation. Optimal trajectory is generated when use genetic algorithm which has some genes and a fitness function. In this paper, minimization of balancing joints motion is used for the fitness function and set the weight factor of the two balancing joints at the fitness function. Inverted pendulum type balancing weight is very similar with human and this model can be used fur humanoid robot. Simulation results show ZMP trajectory and the walking experiment made on the real biped robot IWR-IV.

고정된 MIMO 환경에서의 최적의 직교 오버레이 시스템 설계 (An Optimal Orthogonal Overlay for Fixed MIMO Wireless Link)

  • 윤여훈;조준호
    • 한국통신학회논문지
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    • 제34권10C호
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    • pp.929-936
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    • 2009
  • 기존의 MIMO 다중 송수신기들이 협대역 flat 채널을 공유하고 있는 환경에서 오버레이 MIMO 시스템의 디자인을 고려한다. 오버레이 시스템의 수신기로 수신되는 기존 시스템 신호의 2nd-order 통계량과 오버레이 송신단으로부터 기존 시스템들의 수신단 사이의 채널이 모두 알려져 있다고 가정한다. 평균 송신 전력 제약과 이미 관심대역을 차지하고 있는 기존 시스템들의 수신단에 간섭을 일으키지 않는다는 제약 아래 오버레이 시스템의 각 수신안테나 출력에서의 데이터 심볼의 평균 제곱 오차 (MSE: mean-squared error)의 합인 전체 MSE를 최소화 하는 최적 오버레이 시스템의 선형 precoding과 decoding 행렬을 유도한다. 최적 해가 존재하기 위한 필요충분 조건 또한 유도하고, 제안된 시스템의 성능에 대한 모의 실험 결과를 제공한다.

Dynamic Analysis of Laminated Composite and Sandwich Plates Using Trigonometric Layer-wise Higher Order Shear Deformation Theory

  • Suganyadevi, S;Singh, B.N.
    • International Journal of Aerospace System Engineering
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    • 제3권1호
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    • pp.10-16
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    • 2016
  • A trigonometric Layerwise higher order shear deformation theory (TLHSDT) is developed and implemented for free vibration and buckling analysis of laminated composite and sandwich plates by analytical and finite element formulation. The present model assumes parabolic variation of out-plane stresses through the depth of the plate and also accomplish the zero transverse shear stresses over the surface of the plate. Thus a need of shear correction factor is obviated. The present zigzag model able to meet the transverse shear stress continuity and zigzag form of in-plane displacement continuity at the plate interfaces. Hence, botheration of shear correction coefficient is neglected. In the case of analytical method, the governing differential equation and boundary conditions are obtained from the principle of virtual work. For the finite element formulation, an efficient eight noded $C^0$ continuous isoparametric serendipity element is established and employed to examine the dynamic analysis. Like FSDT, the considered mathematical model possesses similar number of variables and which decides the present models computationally more effective. Several numerical predictions are carried out and results are compared with those of other existing numerical approaches.

Coconut husk as a biosorbent for methylene blue removal and its kinetics study

  • Dave, Shailesh R.;Dave, Vaishali A.;Tipre, Devayani R.
    • Advances in environmental research
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    • 제1권3호
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    • pp.223-236
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    • 2012
  • Biosorption of methylene blue (MB) from aqueous solution was studied with respect to the point of zero charge of coconut husk, dye concentration, particle size, pH, temperature, as well as adsorbent and NaCl concentration using coconut husk biomass. Amongst Langmuir and Freundlich adsorption isotherms studied, Langmuir adsorption isotherm showed better agreement. Pseudo second order kinetics model was found to be more suitable for data presentation as compared to pseudo first order kinetics model. Also, involvement of diffusion process was studied using intraparticle diffusion, external mass transfer and Boyd kinetic model. Involvement of intraparticle diffusion model was found to be more relevant (prominent) as compared to external mass transfer (in) for methylene blue biosorption by the coconut husk. Moreover, thermodynamic properties of MB biosorption by coconut husk were studied. Desorption of methylene blue from biomass was studied with different desorbing agents, and the highest desorption achieved was as low as 7.18% with acetone, which indicate stable immobilization. Under the experimental conditions MB sorption was not significantly affected by pH, temperature and adsorbent concentration but low sorption was observed at higher NaCl concentrations.

Biosorption of Methylene Blue from Aqueous Solution Using Xanthoceras sorbifolia Seed Coat Pretreated by Steam Explosion

  • Yao, Zeng-Yu;Qi, Jian-Hua
    • Journal of Forest and Environmental Science
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    • 제32권3호
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    • pp.253-261
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    • 2016
  • Xanthoceras sorbifolia seed coat (XSSC) is a processing residue of the bioenergy crop. This work aimed to evaluate the applicability of using the steam explosion to modify the residue for dye biosorption from aqueous solutions by using methylene blue as a model cationic dye. Equilibrium, kinetic and thermodynamic parameters for the biosorption of methylene blue on the steam-exploded XSSC (SE-XSSC) were evaluated. The kinetic data followed the pseudo-second-order model, and the rate-limiting step was the chemical adsorption. Intraparticle diffusion was one of the rate-controlling factors. The equilibrium data agreed well with the Langmuir isotherm, and the biosorption was favorable. The steam-explosion pretreatment strongly affected the biosorption in some respects. It reduced the adsorption rate constant and the initial sorption rate of the pseudo-second-order model. It enhanced the adsorption capacity of methylene blue at higher temperatures while reduced the capacity at lower ones. It changed the biosorption from an exothermic process driven by both the enthalpy and the entropy to an endothermic one driven by entropy only. It increased the surface area and decreased the pH point of zero charge of the biomass. Compared with the native XSSC, SE-XSSC is preferable to MB biosorption from warmer dye effluents.

A simple HSDT for bending, buckling and dynamic behavior of laminated composite plates

  • Remil, Aicha;Benrahou, Kouider Halim;Draiche, Kada;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • 제70권3호
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    • pp.325-337
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    • 2019
  • In the present article, cross ply laminated composite plates are considered and a simple sinusoidal shear deformation model is tested for analyzing their flexural, stability and dynamic behaviors. The model contains only four unknown variables that are five in the first order shear deformation theory (FSDT) or other higher order models. The in-plane kinematic utilizes undetermined integral terms to quantitatively express the shear deformation influence. In the proposed theory, the conditions of zero shear stress are respected at bottom and top faces of plates without considering the shear correction coefficient. Equations of motion according to the proposed formulation are deduced by employing the virtual work principle in its dynamic version. The analytical solution is determined via double trigonometric series proposed by Navier. The stresses, displacements, natural frequencies and critical buckling forces computed using present method are compared with other published data where a good agreement between results is demonstrated.

Fluoran계 염료의 열변색 현상에 관한 열역학적 분석 (A thermodynamic analysis on thermochromism of fluoran dyes)

  • 김재욱;지명진;김종규
    • 분석과학
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    • 제22권2호
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    • pp.159-165
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    • 2009
  • 기능성 염료의 일종인 fluoran계 염료의 열 변색현상으로부터 열역학적인 함수들을 구하였다. 양성자성 용매와 비양성자성 용매에서 온도변화에 따른 UV-Vis 스펙트럼을 측정함으로서 평형상수와 엔탈피 값을 측정하였다. 양성자성 용매에서는 락톤형으로만 존재하나 비양성자성 용매에서는 락톤형과 쯔비터 이온형이 같이 존재함을 확인하였다. 평형 상수를 결정하는 요인은 용매의 극성도가 아니라 수소결합 주게의 성질에 큰 영향을 받음을 확인하였다. 엔탈피 변화량도 측정하였다. 온도 변화에 따라 열 변색 현상이 잘 일어나므로 엔탈피 변화량은 약 -2.0 kJ/mol정도이며, 따라서 열린형이 닫힌형보다도 에너지가 안정함을 확인하였다. 산에 의한 엔탈피 변화량은 양성자성 용매에서는 거의 0 kJ/mol에 가까우며 비양성자성 용매에서는 일정한 경향성을 찾기 어려웠으며. 또한 엔트로피와 깁스 자유에너지도 일정한 경향성을 보이지 않았다. 이러한 열역학적인 분석 결과는 기능성 염료의 디자인이나 합성에서 중요한 정보를 제공할 수 있다.

흙의 비배수전단강도가 0이 되는 함수비인 흐름한계의 제안 (A Proposal of Flow Limit for Soils at Zero Undrained Shear Strength)

  • 박성식;농쩐쩐
    • 한국지반공학회논문집
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    • 제29권11호
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    • pp.73-84
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    • 2013
  • 사면 내 토사가 붕괴되거나 토석류가 발생하는 경우 파괴면에 작용하는 전단강도는 0에 가깝게 되면서 토사가 비점성 액체와 같이 유동한다. 점성토는 함수비 증가에 따라 그 연경도가 달라지며 액체상태로 바뀌는 액성한계에서 도 약간의 전단강도를 가진다. 본 연구에서는 점성토의 전단강도가 0이 되어 흐름을 유발하는 함수비를 찾고자 하였 다. 카올리나이트, 벤토나이트, 그리고 카올리나이트(50%)+벤토나이트(50%)와 같은 세 종류의 점토에 혼합수로 증류 수, 해수, 또는 미생물용액을 혼합하여 액성한계 상태로 만든 다음 함수비를 단계적으로 증가시키면서 토베인 시험기 를 이용하여 비배수전단강도를 측정하였다. 액성한계와 소성한계에서 비배수전단강도의 범위는 각각 3.6-9.2kPa와 24-45kPa 정도이었다. 한편 측정 결과로부터 비배수전단강도가 급격하게 변화하는 값에 해당하는 함수비를 흐름함수 비(Flow Water content)로 정의하였으며, 비배수전단강도가 0이 될 때의 함수비를 흐름한계(Flow Limit)로 정의하였다. 그리고 흐름한계와 액성한계의 상관관계를 살펴보기 위하여 흐름한계와 액성한계의 차이를 점성지수(Cohesive Index) 로 정의하였다. 또한 흐름한계와 소성한계의 차이를 새로운 소성지수(New Plasticity Index)로 정의하였으며, 흐름한계를 이용하여 새로운 액성지수(New Liquidity Index)도 정의하였다. 흐름한계(Flow Limit)는 액성한계보다 1.5-2배 정도 높은 값을 보였으며, 새로운 소성지수는 기존 소성지수보다 2-5.5배 정도 높았다.