• 제목/요약/키워드: zero-order solution

검색결과 181건 처리시간 0.022초

Analysis of laminated and sandwich spherical shells using a new higher-order theory

  • Shinde, Bharti M.;Sayyad, Atteshamudin S.
    • Advances in aircraft and spacecraft science
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    • 제7권1호
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    • pp.19-40
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    • 2020
  • In the present study, a fifth-order shear and normal deformation theory using a polynomial function in the displacement field is developed and employed for the static analysis of laminated composite and sandwich simply supported spherical shells subjected to sinusoidal load. The significant feature of the present theory is that it considers the effect of transverse normal strain in the displacement field which is eliminated in classical, first-order and many higher-order shell theories, while predicting the bending behavior of the shell. The present theory satisfies the zero transverse shear stress conditions at the top and bottom surfaces of the shell. The governing equations and boundary conditions are derived using the principle of virtual work. To solve the governing equations, the Navier solution procedure is employed. The obtained results are compared with Reddy's and Mindlin's theory for the validation of the present theory.

양극산화로 제작된 이산화티타늄 나노튜브 박막을 이용한 휴믹산 제거 (Removal of Humic Acid Using Titanium Dioxide Nanotube Thin Film Fabricated by Anodization)

  • 윤동민;장준원;박재우
    • 대한환경공학회지
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    • 제30권3호
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    • pp.339-344
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    • 2008
  • 티타늄 박막을 1 M의 황산나트륨 수용액과 0.5 wt%의 불화나트륨에 의해 제조된 전해질 용액에 담지하고 전기화학적 양극산화법으로 약 20분간 20$^{\circ}C$의 온도로 수행하여 티타늄다이옥사이드 나노튜브 필름을 제작하였다. 주사전자현미경과 X선회절분석기를 이용하여 각각 미세구조와 결정구조를 측정하였으며, 나노튜브의 직경은 대략 100 nm 정도이고, 길이는 1 $\mu$m 정도로 나타났다. 이 후 티타늄다이옥사이드 나노튜브는 450에서 풀림공정을 수행하였으며, 아나타제 결정형으로 나타났다. 또한 본 연구에서는 제작된 나노튜브 박막을 이용하여 물에 용존된 휴믹산의 제거실험을 수행하였으며 Langmuir-Hinshelwood kinetic 0차 반응의 경향을 보였으며, 약 0.3 g 정도의 파우더형 광촉매와 같은 효율을 보였다.

Higher-order Spectral Method for Regular and Irregular Wave Simulations

  • Oh, Seunghoon;Jung, Jae-Hwan;Cho, Seok-Kyu
    • 한국해양공학회지
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    • 제34권6호
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    • pp.406-418
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    • 2020
  • In this study, a nonlinear wave simulation code is developed using a higher-order spectral (HOS) method. The HOS method is very efficient because it can determine the solution of the boundary value problem using fast Fourier transform (FFT) without matrix operation. Based on the HOS order, the vertical velocity of the free surface boundary was estimated and applied to the nonlinear free surface boundary condition. Time integration was carried out using the fourth order Runge-Kutta method, which is known to be stable for nonlinear free-surface problems. Numerical stability against the aliasing effect was guaranteed by using the zero-padding method. In addition to simulating the initial wave field distribution, a nonlinear adjusted region for wave generation and a damping region for wave absorption were introduced for wave generation simulation. To validate the developed simulation code, the adjusted simulation was carried out and its results were compared to the eighth order Stokes theory. Long-time simulations were carried out on the irregular wave field distribution, and nonlinear wave propagation characteristics were observed from the results of the simulations. Nonlinear adjusted and damping regions were introduced to implement a numerical wave tank that successfully generated nonlinear regular waves. According to the variation in the mean wave steepness, irregular wave simulations were carried out in the numerical wave tank. The simulation results indicated an increase in the nonlinear interaction between the wave components, which was numerically verified as the mean wave steepness. The results of this study demonstrate that the HOS method is an accurate and efficient method for predicting the nonlinear interaction between waves, which increases with wave steepness.

1차 지연회로를 사용한 ZVS Full-Bridge 컨버터 구동회로 설계 (The Driving Circuit Design for ZVS Full-Bridge Converter with 1st Order Delay Circuit)

  • 조내수;최연호;윤경섭;구본호;권우현
    • 전기학회논문지
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    • 제59권3호
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    • pp.569-574
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    • 2010
  • The full bridge converter have been used for high power system that is needed to switch the big current. So, EMI and stability problem is occurred. The Soft switching method is the solution to solve the above problem, But implementation of soft switching(ZVS: Zero Voltage Switching) is so complicate and expensive because of the DSP MCU and shift circuit. In this paper, we introduce the technical method for driving circuit of ZVS full bridge converter with 1st order delay circuit and logic elements. The realization of this method is so simple and cheap. The effectiveness of the proposed circuit is verified by experimental results.

Switching Control for Second Order Nonlinear Systems Using Singular Hyperplanes

  • Yeom Dong-Hae;Choi Jin-Young
    • International Journal of Control, Automation, and Systems
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    • 제4권1호
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    • pp.124-135
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    • 2006
  • In this paper, we propose a switching control method for a class of 2nd order nonlinear systems with single input. The main idea is to switch the control law before the trajectory of the solution arrives at singular hyperplanes which are defined by the denominator of the control law. The proposed method can handle a class of nonlinear systems which is difficult to be stabilized by the existing methods such as feedback linearization, backstepping, control Lyapunov function, and sliding mode control.

OSCILLATION BEHAVIOR OF SOLUTIONS OF THIRD-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS ON TIME SCALES

  • Han, Zhenlai;Li, Tongxing;Sun, Shurong;Zhang, Meng
    • 대한수학회논문집
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    • 제26권3호
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    • pp.499-513
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    • 2011
  • By using the Riccati transformation technique, we study the oscillation and asymptotic behavior for the third-order nonlinear delay dynamic equations $(c(t)(p(t)x^{\Delta}(t))^{\Delta})^{\Delta}+q(t)f(x({\tau}(t)))=0$ on a time scale T, where c(t), p(t) and q(t) are real-valued positive rd-continuous functions defined on $\mathbb{T}$. We establish some new sufficient conditions which ensure that every solution oscillates or converges to zero. Our oscillation results are essentially new. Some examples are considered to illustrate the main results.

경계요소법을 이용한 2차원 와전류 문제에 대한 연구 (A Study of 2-D Eddy Current Problem Using Boundary Element Method)

  • 임의수;이향범
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 A
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    • pp.217-219
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    • 1999
  • This paper presents a study of 2-dimensional(2-D) eddy current problem using boundary element method(BEM). When compared with finite element method(FEM), there are only a few unknown variables in BEM because it implements numerical analysis only for the surface or boundary of a model. As a result, a lot of computational memory and time can be saved. In order to analyze 2-D eddy current problem, potentials and its derivatives(flux) in a boundary are used as variables. The Mantel function of the second kind of the zero order is used here as a fundamental solution. In order to remove singularity and to solve the integral equations in a boundary, Subtracting Singularity Method and Gauss Quadrature Formula are adopted in this paper.

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Wave propagation in a FG circular plate via the physical neutral surface concept

  • She, Gui-Lin;Ding, Hao-Xuan;Zhang, Yi-Wen
    • Structural Engineering and Mechanics
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    • 제82권2호
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    • pp.225-232
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    • 2022
  • In this paper, the physical neutral surface concept is applied to study the wave propagation of functionally graded (FG) circular plate, the wave equation is derived by Hamiltonian variational principle and the first-order shear deformation plate model. Then, we convert the equations to dimensionless equations. The exact solution of wave propagation problem is obtained by Laplace integral transformation, the first order Hankel integral transformation and the zero order Hankel integral transformation. The results obtained by the current model are very close to those obtained in the existing literature, which indicates the correctness and reliability of this study. Moreover, the effects of the functionally graded index parameters and pore volume fraction on the wave propagation are also discussed in detail.

MEROMORPHIC SOLUTIONS OF SOME NON-LINEAR DIFFERENCE EQUATIONS WITH THREE EXPONENTIAL TERMS

  • Min-Feng Chen;Zong-Sheng Gao;Xiao-Min Huang
    • 대한수학회보
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    • 제61권3호
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    • pp.745-762
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    • 2024
  • In this paper, we study the existence of finite order meromorphic solutions of the following non-linear difference equation fn(z) + Pd(z, f) = p1eα1z + p2eα2z + p3eα3z, where n ≥ 2 is an integer, Pd(z, f) is a difference polynomial in f of degree d ≤ n - 2 with small functions of f as its coefficients, pj (j = 1, 2, 3) are small meromorphic functions of f and αj (j = 1, 2, 3) are three distinct non-zero constants. We give the expressions of finite order meromorphic solutions of the above equation under some restrictions on αj (j = 1, 2, 3). Some examples are given to illustrate the accuracy of the conditions.

Limit analysis of rectangular cavity subjected to seepage forces based on Hoek-Brown failure criterion

  • Yang, X.L.;Qin, C.B.
    • Geomechanics and Engineering
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    • 제6권5호
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    • pp.503-515
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    • 2014
  • On the basis of Hoek-Brown failure criterion, a numerical solution for the shape of collapsing block in the rectangular cavity subjected to seepage forces is obtained by upper bound theorem of limit analysis. The seepage forces obtained from the gradient of excess pore pressure distribution are taken as external loadings in the limit analysis, and the pore pressure is easily calculated with pore pressure coefficient. Thus the seepage force is incorporated into the upper bound analysis as a work rate of external force. The upper solution of the shape of collapsing block is derived by virtue of variational calculation. In order to verify the validity of the method proposed in the paper, the result when the pore pressure coefficient equals zero, and only hydrostatic pressure is taken into consideration, is compared with that of previous work. The results show good effectiveness in calculating the collapsing block shape subjected to seepage forces. The influence of parameters on the failure mechanisms is investigated.