• 한국소음진동공학회논문집
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• 제16권5호
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• pp.470-478
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• 2006

An efficient method for change of eigenvectors and eigenvalues due to the modifying proportional damping structure using sensitivity coefficients is presented. Sensitivity coefficients are determined by iteration with eigenvalue and eigenvectors before modification of system. The proposed method is applied to examples of 3 degrees of freedom system and plate by modifying mass and stiffness. The predicted change of eigenvectors and eigenvalues are in a good agreement with these from the structural re-analysis after modification of mass and stiffness.

• Structural Engineering and Mechanics
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• 제53권6호
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• pp.1105-1126
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• 2015

Many vibrating mechanical systems from the real life are modeled as combined dynamical systems consisting of beams to which spring-mass secondary systems are attached. In most of the publications on this topic, masses of the helical springs are neglected. In a paper (Cha et al. 2008) published recently, the eigencharacteristics of an arbitrary supported Bernoulli-Euler beam with multiple in-span helical spring-mass systems were determined via the solution of the established eigenvalue problem, where the springs were modeled as axially vibrating rods. In the present article, the authors used the assumed modes method in the usual sense and obtained the equations of motion from Lagrange Equations and arrived at a generalized eigenvalue problem after applying a Galerkin procedure. The aim of the present paper is simply to show that one can arrive at the corresponding generalized eigenvalue problem by following a quite different way, namely, by using the so-called "characteristic force" method. Further, parametric investigations are carried out for two representative types of supporting conditions of the bending beam.

• 대한수학회지
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• 제61권1호
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• pp.133-147
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• 2024

Let G = (V, E) be a connected finite graph. We study the existence of solutions for the following generalized Chern-Simons equation on G $${\Delta}u={\lambda}e^u(e^u-1)^5+4{\pi}\sum_{s=1}^{N}\delta_{ps}$$, where λ > 0, δ_ps is the Dirac mass at the vertex p_s, and p₁, p₂, . . . , p_N are arbitrarily chosen distinct vertices on the graph. We show that there exists a critical value $\hat{\lambda}$ such that when λ > $\hat{\lambda}$, the generalized Chern-Simons equation has at least two solutions, when λ = $\hat{\lambda}$, the generalized Chern-Simons equation has a solution, and when λ < $\hat{\lambda}$, the generalized Chern-Simons equation has no solution.

• 터널과지하공간
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• 제24권5호
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• pp.366-372
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• 2014

일반화된 Hoek-Brown (H-B) 식은 절리성 현장암반에 적용되는 암반공학 고유의 파괴조건식이다. 이 파괴조건식에서는 현장암반의 GSI 값을 이용하여 무결암의 강도정수를 현장암반의 값으로 변환시킨다. 현장암반의 특성을 체계적으로 고려한 거의 유일한 암반파괴조건식이라는 측면에서 일반화된 H-B 파괴조건식은 적용범위를 넓혀가고 있지만 비선형 함수라는 단점을 가지고 있다. 이에 따라 일반화된 H-B 식을 선형 Mohr-Coulomb (M-C) 파괴조건식의 틀로 이해하려는 연구들이 시도되고 있다. 이 연구에서는 일반화된 H-B 식에 응력무차원화 변환을 적용하여 접선점착력을 접선마찰각의 함수로 표현하는 명시적 관계식을 유도하였다. 유도된 관계식을 이용하여 암반 질의 변화에 따른 일반화된 H-B 식에 내포된 접선마찰각 - 접선점착력 변화 특성을 고찰하였다. GSI 값의 변화만을 고려한 경우 GSI 값의 증가에 따라 접선마찰각은 감소하고 접선점착력은 증가하는 경향을 보였다.

• 한국생산제조학회지
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• 제6권3호
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• pp.82-88
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• 1997

This paper derives the generalized stiffness to find dynamic characteristics and its derivatives of a continuous system. And a new sensitivity analysis method is presented by using the amount of change of generalized stiffness and vibrational mode caused by the variation of stiffness. In this paper, to get or detect appropriate results, cantilever beam and stepped beam and stepped beam are used. Deviations of sensitivity coefficient, natural frequency, and vibrational mode are calculated as result, and compared with the theoretical exact values.

• 품질경영학회지
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• 제26권4호
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• pp.79-87
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• 1998

This paper considers the problem of testing a one-sided hypothesis under the generalized sampling plan which is defined by a sequence of independent Bernoulli trials. A certain lexicographic order is defined for the boundary points of the sampling plan. It is shown that the family of probability mass function defined on the boundary points has monotone likelihood ratio, and that the test function is uniformly most powerful.

• Geomechanics and Engineering
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• 제11권3호
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• pp.439-455
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• 2016

This paper presented solutions of displacement and stress for a circular opening which is reinforced with grouted rock bolt. It satisfies the Mohr-Coulomb (M-C) or generalized Hoek-Brown (H-B) failure criterion, and exhibits elastic-brittle-plastic or strain-softening behavior. The numerical stepwise produce for strain-softening rock mass reinforced with grouted rock bolt was developed with non-associative flow rules and two segments piecewise linear functions related to a principle strain-dependent plastic parameter, to model the transition from peak to residual strength. Three models of the interaction mechanism between grouted rock bolt and surrounding rock proposed by Fahimifar and Soroush (2005) were adopted. Based on the axial symmetrical plane strain assumption, the theoretical solution of the displacement and stress were proposed for a circular tunnel excavated in elastic-brittle-plastic and strain-softening rock mass compatible with M-C or generalized H-B failure criterion, which is reinforced with grouted rock bolt. It showed that Fahimifar and Soroush's (2005) solution is a special case of the proposed solution for n = 0.5. Further, the proposed method is validated through example comparison calculated by MATLAB programming. Meanwhile, some particular examples for M-C or generalized H-B failure criterion have been conducted, and parametric studies were carried out to highlight the influence of different parameters (e.g., the very good, average and very poor rock mass). The results showed that, stress field in plastic region of surrounding rock with considering the supporting effectiveness of the grouted rock bolt is more than that without considering the effectiveness of the grouted rock bolt, and the convergence and plastic radius are reduced.

• 터널과지하공간
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• 제18권6호
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• pp.408-417
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• 2008

RMR, Q 등의 암반분류법들은 평가 요소 및 적용에 있어 특징적인 차이를 가지고 있어서 이들 암반분류법의 상관성 및 호환성 분석에 있어서는 평가 요소들의 특성별 그룹화 및 평가 요소간의 상관관계 즉, 친숙도 관계가 정확히 규정되어야 한다. 본 연구에서는 현장지반조사를 통해 획득한 RMR 및 Q 자료를 이용하여 암반분류법의 평가 요소 및 두 분류법 상호간의 상관관계를 분석하였다. 이로부터 평가 요소간 상관관계 매트릭스 및 평가 요소간 상관계수를 등급화 한 친숙도 관계 매트릭스를 도출하였다. 이 친숙도 관계 매트릭스는 보다 다양한 지반 물성 요소를 포함하여 종합적 친숙도 관계 네트워크로 확장할 수가 있으며, RMR 및 Q 암반분류법의 평가 요소 상호간 밀접성이나 호환성을 파악하고 주어진 평가 요소 정보로부터 미 획득된 다른 요소의 추정 또는 변환 및 그 신뢰 정도를 파악하는데 이용될 수 있다.

• International Journal of Control, Automation, and Systems
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• 제3권2호
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• pp.159-165
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• 2005

This paper designs observers for matrix second-order linear systems on the basis of generalized eigenstructure assignment via unified parametric approach. It is shown that the problem is closely related with a type of so-called generalized matrix second-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two unified complete parametric methods for the proposed observer design problem are presented. Both methods give simple complete parametric expressions for the observer gain matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the right factorization of the system, and allows eigenvalues of the error system to be set undetermined and sought via certain optimization procedures. A spring-mass system is utilized to show the effect of the proposed approaches.

• 한국해양공학회지
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• 제23권6호
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• pp.7-11
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• 2009

The dynamic responses and drift forces in waves of a floating circular fish cage are analyzed considering hydroelastic effects. The method of generalized mode is used to calculate the hydroelastic responses of the floater of cage. The elastic mode shapes, generalized mass, and stiffness in dry mode are evaluated by using a structural analysis code. The higher-order boundary element method is adopted to analyze the interaction between fluid and deformable structure. Some results of vertical motions and drift forces are shown and compared with those for a rigid body.