• Journal of Mechanical Science and Technology
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• 제18권2호
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• pp.193-202
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• 2004

This paper presents a computer method for the dynamic analysis of a system of rigid bodies in plane motion. The formulation rests upon the idea of replacing a rigid body by a dynamically equivalent constrained system of particles. Newton's second law is applied to study the motion of the resulting system of particles without introducing any rotational coordinates. A velocity transformation is used to transform the equations of motion to a reduced set. For an open-chain, this process automatically eliminates all of the non-working constraint forces and leads to an efficient integration of the equations of motion. For a closed-chain, suitable joints should be cut and few cut-joints constraint equations should be included. An example of a closed-chain is used to demonstrate the generality and efficiency of the proposed method.

• Journal of Mechanical Science and Technology
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• 제17권12호
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• pp.1977-1985
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• 2003

In the present study, the dynamic modelling of planar mechanisms that consist of a system of rigid bodies is carried out using point coordiantes. The system of rigid bodies is replaced by a dynamically equivalent constrained system of particles. Then for the resulting equivalent system of particles, the concepts of linear and angular momentums are used to generate the equations of motion without either introducing any rotational coordinates or distributing the external forces and force couples over the particles. For the open loop case, the equations of motion are generated recursively along the open chains. For the closed loop case, the system is transformed to open loops by cutting suitable kinematic joints with the addition of cut-joints kinematic constraints. An example of a multi-branch closed-loop system is chosen to demonstrate the generality and simplicity of the proposed method.

• Journal of applied mathematics & informatics
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• 제11권1_2호
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• pp.59-80
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• 2003

An incomplete factorization method for preconditioning symmetric positive definite matrices is introduced to solve normal equations. The normal equations are form to solve linear least squares problems. The procedure is based on a block incomplete Cholesky factorization and a multilevel recursive strategy with an approximate Schur complement matrix formed implicitly. A diagonal perturbation strategy is implemented to enhance factorization robustness. The factors obtained are used as a preconditioner for the conjugate gradient method. Numerical experiments are used to show the robustness and efficiency of this preconditioning technique, and to compare it with two other preconditioners.

• 한국자동차공학회논문집
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• 제2권3호
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• pp.50-61
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• 1994

A method for performing dynamic design sensitivity analysis of vehicle suspension systems which have three dimensional closed-loop kinematic structure is presented. A recursive form of equations of motion for a MacPherson suspension system is derived as basis for sensitivity analysis. By directly differentiating the equations of motion with respect to design variables, sensitivity equations are obtained. The direct generalize for the application of multibody dynamic sensitivity analysis. Based on the proposed sensitivity analysis, optimal design of a MacPherson suspension system is carried out taking unsprung mass, spring and damping coefficients as design variables.

• Structural Engineering and Mechanics
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• 제47권1호
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• pp.27-44
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• 2013

A finite element computational procedure for the accurate analysis of quasistatic thermorheological complex structures response is developed. The geometrical nonlinearity, arising from large displacements and rotations (but small strains), is accounted for by the total Lagrangian description of motion. The Schapery's nonlinear single-integral viscoelastic constitutive model is modified for a time-stress-temperature-dependent behavior. The nonlinear thermo-viscoelastic constitutive equations are incrementalized leading to a recursive relationship and thereby the resulting finite element equations necessitate data storage from the previous time step only, and not the entire deformation history. The Newton-Raphson iterative scheme is employed to obtain a converged solution for the non-linear finite element equations. The developed numerical model is verified with the previously published works and a good agreement with them is found. The applicability of the developed model is demonstrated by analyzing two examples with different thermal/mechanical loading histories.

• 한국수자원학회논문집
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• 제54권2호
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• pp.121-133
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• 2021

하천에서 발생하는 부유 물질은 주로 유역으로부터 유입되거나 하천 내에서 자생으로 발생하기도 하며, 퇴적되어 중장기적인 수질 오염을 초래할 수도 있는 중요한 수질 인자이다. 하지만, 부유물질의 재래식 계측방식은 점 단위 계측이기 때문에 노동 집약적이며 방대한 양의 자료를 취득하기는 어렵다. 따라서, 본 연구에서는 고해상도 다분광 위성영상을 제공하는 Sentinel-2 위성 자료를 이용하여 낙동강 전역에 대한 원격탐사 기반 부유 물질 농도 계측 기법을 개발하였다. 개발된 기법은 기존 원격탐사 기반 회귀식들의 한계점을 개선하고 낙동강 전체 영역의 지역적 특성을 반영하기 위해 기계학습 모형인 서포트 벡터 회귀(Support Vector Regression, SVR) 모형을 이용하여 다양한 파장대의 분광 밴드들과 밴드비(band ratios)를 고려하였으며, 이를 입력 변수들의 최적 조합으로 재귀적 특징 제거법(Recursive Feature Elimination, RFE)과 SVR의 각 변수별 가중계수를 활용하여 도출하였다. 가장 중요도가 높은 분광 밴드로는 Red-edge 파장대 영역에 속하는 705 nm 밴드가 산출되었으며, 최종적으로 구축된 SVR 모형을 선행 연구들에서 제시한 회귀식들과 비교한 결과, 가장 정확한 계측 결과를 제공하는 것으로 밝혀졌다. 본 연구에서 개발된 SVR 모형은 RFE를 통해 산출된 최적 분광 밴드 조합을 바탕으로 하기 때문에 기존 단일 분광 밴드 혹은 밴드비를 기반으로 구축된 회귀식들이 가지는 변수 의존도를 낮추는 동시에 더욱 정확한 부유물질 농도 공간분포를 제공할 수 있을 것으로 판단된다.

• International Journal of Aeronautical and Space Sciences
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• 제12권2호
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• pp.200-209
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• 2011

An analytical solution for rectangular laminated composite plates was obtained via a formal asymptotic method. From threedimensional static equilibrium equations, the microscopic one-dimensional and macroscopic two-dimensional equations were systematically derived by scaling of the thickness coordinate with respect to the characteristic length of the plate. The onedimensional through-the-thickness analysis was performed by applying a standard finite element method. The derived twodimensional plate equations, which take the form of recursive equations, were solved under sinusoidal loading with simplysupported boundary conditions. To demonstrate the validity and accuracy of the present method, various types of composite plates were studied, such as cross-ply, anti-symmetric angle-ply and sandwich plates. The results obtained were compared to those of the classical laminated plate theory, the first-order shear deformation theory and the three-dimensional elasticity. In the present analysis, the characteristic length of each composite was dependent upon the layup configurations, which affected the convergence rate of the method. The results shown herein are promising that it can serve as an efficient tool for the analysis and design of laminated composite plates.

• Journal of the Korean Statistical Society
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• 제26권1호
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• pp.47-56
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• 1997

The asymptotic distribution of the extended Yule-Walker estimates of a mixed ARMA process is derived. Also, a recursive algorithm is derived to calculate the extended Yule-Walker estimates recursively, which is a generalization of the Levinson-Durbin algorithm.

• Kyungpook Mathematical Journal
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• 제50권4호
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• pp.483-497
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• 2010

In this paper we study some qualitative behavior of the solutions of the difference equation $x_{n+1}=ax_n=\frac{bx_n}{cx_n-dx_{n-1}}$, n=0,1,$\ldots$, where the initial conditions x-1, x0 are arbitrary real numbers and a, b, c, d are positive constants with $cx_0-dx_{-1}\neq0$.

• 한국경영과학회지
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• 제22권2호
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• pp.45-65
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• 1997

We build a queueing model for buffered leaky bucket system. First, we set up system equations and them calculate the steady-state probabilities at an arbitrary time epoch by recursive method. We derive the mean waiting time and the mean number of cells in the input buffer, and evaluate the performance of the buffered leaky bucket system to find the optimal queue capacity and token generation rate that meet the quality of service(QoS).