• 한국정밀공학회지
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• 제16권10호
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• pp.152-163
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• 1999

The problem of eigenvalue and eigenvector for v-notched cracks in pseudo-isotropic and anisotropic dissimilar materials was obtained to discuss stress singularities from traction free boundary and perfect bonded interface conditions assuming like the form of complex stress function for v-notched cracks in an isotropic material. Eigenvalues were solved by a commercial numerical program, MATHEMATICA. The relation between wedged angle and material property for eigenvalue, ${\lambda}$ indicating stress singularities of v-notched cracks in pseudo-isotropic and anisotropic dissimilar materials was examined.

• KIEE International Transactions on Power Engineering
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• 제4A권2호
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• pp.79-83
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• 2004

A new small signal stability analysis method for eigenvalue analysis is presented. This method utilizes the Resistive Companion Form (RCF) for the computation of the transition matrix over a specified time interval, which corresponds to a single cycle operation of the system. This method is applicable to any system, with or without switching element. An illustrative example of the method is presented and the eigenvalues are compared with those of the conventional state space method (analog) in order to demonstrate the accuracy of the proposed eigenvalue analysis method. Also, the variations of oscillation modes that are caused by the switching operation can be precisely analyzed using this method.

• 한국정밀공학회지
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• 제17권11호
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• pp.129-139
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• 2000

The problem of eigenvalue and eigenvector is obtained from a V-notched crack in pseudo-isotropic dissimilar materials by the traction free boundary and the perfect bonded interface conditions. The complex stress function is assumed as the two-term William's type. The eigenvalue is solved by a commercial numerical program, MATHEMATICA to discuss stress singularities for V-notched cracks in pseudo-isotropic dissimilar materials. The RWCIM(Reciprocal Work Contour Integral Method) is applied to the determination to eigenvector coefficients associated with eigenvalues. The RWCIM algorithm is also coded by the MATHEMATICA.

• Journal of applied mathematics & informatics
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• 제29권1_2호
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• pp.49-53
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• 2011

In this paper, we adopt a numerical method to establish the smallest set to contain all Ger$\v{s}$gorin discs of a given complex matrix and its some similar matrices. With the smallest set, a new estimation for all eigenvalues of the matrix is obtained.

• 호남수학학술지
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• 제45권4호
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• pp.648-654
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• 2023

Schwarz lemma at the non-smooth boundary point for holomorphic self-map on the intersection of two balls in ℂ² is obtained. At the complex tangent point in the corner of the boundary of the domain, the tangential eigenvalue of the complex Jacobian of the holomorphic map is estimated if the map is transversal.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2012년도 추계학술대회 논문집
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• pp.546-552
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• 2012

This paper is a study on squeal noise simulation under the consideration of temperature and pressure dependent material properties of friction material. For this, data of pressure and temperature dependent material properties of lining is achieved by using lining data base and exponential curve fit. Complex eigenvalue analysis is performed for predicting squeal noise frequency and instability and chassis dynamo test is performed for achieving squeal noise frequency, sound pressure level, occurrence temperature & pressure. Initial multi models are composed for considering complex interface conditions such as pad ear-clip, piston-housing and guide pin-torque member. The simulation result of base models is compared with the test result. Squeal noise simulation under the consideration of temperature and pressure dependent material properties of friction material is performed and analyzed using multi models. And additional condition is disc material property variation. Entire simulation conditions are combined and analyzed. Finally, this paper proposes direction of the warm squeal noise model.

• 대한기계학회논문집A
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• 제37권3호
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• pp.325-331
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• 2013

본 논문에서는 상용 프로그램 ABAQUS를 이용하여 브레이크 시스템의 불안정 모드를 알아보기 위한 복소고유치해석을 수행하였다. 또한 전체 시스템의 불안정 복소 고유모드에서 가장 진동에너지가 큰 부품을 알아보기 위한 기여도해석과 전체 복소 고유모드와 해당 부품의 부품모드간의 기여도해석을 통해 모드 연성의 가능성이 높은 모드를 알아보았다. 본 연구에서는 디스크 로터의 2차 굽힘모드와 토크멤버의 3차 축방향 횡모드의 연성에 의해 1.4kHz의 불안정 모드가 발생하는 것을 알 수 있었다. 이러한 모드 연성을 차단하기 위해 불안정성을 유발하는 토크멤버에서 해당모드의 주파수 변화에 대한 감도 해석을 실시하였다. 감도 해석 결과를 토대로 질량 가중에 의한 구조물 동특성 변경을 수행한 결과 저주파 영역에서 불안정 모드가 발생하지 않아 본 연구에서 제시된 저감방법의 유효성을 확인할 수 있었다.

• 대한전자공학회논문지TC
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• 제41권7호
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• pp.47-53
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• 2004

에스컬레이터 (ESC) 구조의 장점인 완잔 직교화 성질을 복소 채널 Equalization 및 직교변조방식의 Equalization에 적용할 수 있도록 하기 위해 ESC 구조에 복소연산을 적용함으로서 복소 ESC 구조 Equalizer를 설계하였다. 고유치 분포비가 크게 다른 채널 모델에 대한 복소 Equalizer 들의 수렴성능을 비교해 본 결과 고유치 분포비 (ESR) 값이 증가에 따라 수렴속도에 있어서 제안한 복소 ESC Equalizer는 영향을 받지 않았다. 또한 QPSK 전송-복소 채널 모델에 대하여도 시뮬레이션을 시행한 결과 기존의 복소 TDL-LMS 보다 약 7 배의 빠른 수렴을 보여 제안한 복소 ESC Equalizer의 우수한 특성을 확인할 수 있다.

• Structural Engineering and Mechanics
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• 제73권3호
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• pp.271-286
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• 2020

Passive control technologies are commonly used in several areas to suppress structural vibrations by the addition of supplementary damping, and some modal damping may be heavy beyond critical damping even for regular structures with energy dissipation devices. The design of passive control structures is typically based on (complex) mode superposition approaches. However, the conventional mode superposition approach is predominantly applied to cases of under-critical damping. Moreover, when any modal damping ratio is equal or close to 1.0, the system becomes defective, i.e., a complete set of eigenvectors cannot be obtained such that some well-known algorithms for the quadratic eigenvalue problem are invalid. In this paper, a generalized complex mode superposition method that is suitable for under-critical, critical and over-critical damping is proposed and expressed in a unified form for structural displacement, velocity and acceleration responses. In the new method, the conventional algorithm for the eigenvalue problem is still valid, even though the system becomes defective due to critical modal damping. Based on the modal truncation error analysis, modal corrected methods for displacement and acceleration responses are developed to approximately consider the contribution of the truncated higher modes. Finally, the implementation of the proposed methods is presented through two numerical examples, and the effectiveness is investigated. The results also show that over-critically damped modes have a significant impact on structural responses. This study is a development of the original complex mode superposition method and can be applied well to dynamic analyses of non-classically damped systems.

• 대한수학회지
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• 제52권6호
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• pp.1271-1286
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• 2015

An operator T on a complex Hilbert space H is called skew symmetric if T can be represented as a skew symmetric matrix relative to some orthonormal basis for H. In this paper, we study skew symmetric operators with eigenvalues. First, we provide an upper-triangular operator matrix representation for skew symmetric operators with nonzero eigenvalues. On the other hand, we give a description of certain skew symmetric triangular operators, which is based on the geometric relationship between eigenvectors.