• 제목/요약/키워드: eigen 1-forms

검색결과 6건 처리시간 0.024초

Eigen 1-forms of the laplacian and riemannian submersions

  • Park, Jeong-Hyeong
    • 대한수학회보
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    • 제33권3호
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    • pp.477-480
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    • 1996
  • Let $\pi : Z \longrightarrow Y$ be a fiber bundle where Y and Z are compact Riemannian manifolds without boundary. We are primarily interested in the case where $\pi$ is a Riemannian submersion with minimal fibers; this is the case, for example, where Z is the sphere bundle of some vector bundle over Y or where Z is a principal bundle over Y.

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파라미터행렬의 변화량 추정에 근거한 트러스 구조물의 손상탐지 (Damage Detection of Truss Structure based on the Predicted Change of Parameter Matrices)

  • 강택선;이병현;은희창
    • 대한건축학회논문집:구조계
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    • 제34권1호
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    • pp.27-32
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    • 2018
  • This work provides the analytical methods to represent the updated form of stiffness or flexibility matrices using the measurements of the first few natural frequencies and the corresponding mode shapes. This study derives the mathematical forms on the variance of stiffness or flexibility matrices to minimize the performance index in the satisfaction of the eigen-function including the residual force depending on the measured data. The proposed methods can be utilized in detecting damage and updating the parameter matrices deviated from the analytical parameter matrices. The validity of the proposed methods is investigated in a numerical experiment of truss structure and the numerical results of stiffness-based and flexibility-based methods are compared. The sensitivity to the external noise is also examined for applying to the practical work.

Stability analysis of steel cable-stayed bridges

  • Tang, Chia-Chih;Shu, Hung-Shan;Wang, Yang-Cheng
    • Structural Engineering and Mechanics
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    • 제11권1호
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    • pp.35-48
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    • 2001
  • The objective of this study is to investigate the stability behavior of steel cable-stayed bridges by comparing the buckling loads obtained by means of finite element methods with eigen-solver. In recent days, cable-stayed bridges dramatically attract engineers' attention due to their structural characteristics and aesthetics. They require a number of design parameters and present a high degree of static indetermination, especially for long span bridges. Cable-stayed bridges exhibit several nonlinear behaviors concurrently under normal design loads due to the individual nonlinearity of substructures such as the pylons, stay cables, and bridge deck, and their interactions. The geometric nonlinearities arise mainly from large displacements of cables. Strong axial and lateral forces acting on the bridge deck and pylons cause structural nonlinear behaviors. The interaction is among the substructures. In this paper, a typical three-span steel cable-stayed bridge with a variety of design parameters has been investigated. The numerical results indicate that the design parameters such as the ratio of $L_1/L$ and $I_p/I_b$ are important for the structural behavior, where $L_1$ is the main span length, L is the total span length of the bridge, $I_p$ is the moment of inertia of the pylon, and $I_b$ is the moment of inertia of the bridge deck. When the ratio $I_p/I_b$ increases, the critical load decreases due to the lack of interaction among substructures. Cable arrangements and the height of pylon are another important factors for this type of bridge in buckling analysis. According to numerical results, the bridges supported by a pylon with harp-type cable arrangement have higher critical loads than the bridges supported by a pylon with fan-type cable arrangement. On contrary, the shape of the pylon does not significantly affect the critical load of this type of bridge. All numerical results have been non-dimensionalized and presented in both tabular and graphical forms.

감도전자장치에 영향을 주는 기하학적 인수의 이론적 연구와 측정 (Theoretical Investigations and measuring Techniques of Geometrical Factor influencing Sensitive Electronic Devices)

  • 이시규
    • 전기의세계
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    • 제14권1호
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    • pp.5-12
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    • 1965
  • In the designs of the sensitive electronic devices such as phase sensitive detector, X-ray diffractometer, and neutron diffractometers, we must take into account the geometrical factors in a coil systems and extraneous stray fields. Input wave forms in such a sensitive electronic devices are often altered by the influence of these factors. Since the magnitude of the stray fields is generally very small, this affection may be removed by applying a good shielding but it is not ease to remove the affection from a geometrical factor. This affection must be however calculated by the theoretical methods and analytical solution in the equation of these factors. The fundamental purpose of this paper lie in the theoretical calculations and practical measurements of the geometrical factor in the coil systems, finite solenoid, and four point prove. In the heoretical calculations, the geometrical factors in the coil systems were calculated by applying the elliptic functions and in the contact points were calculated by applying the elliptic functions and in the contact points were calculated by applying the eigen functions and the infinite series. The measurements were carried out by using the sensitive electronic device made from author's design, as shown in the Fig. 9. The result of this work has verified the essential correctness of theoretical investigations and measuring techniques of geometrical factors on the design of sensitive electronic devices. It also has several advantages such that: (1) all the data obtained may give effective data to designer to work on the field of sensitive electronic devices or microelectronic devices, (2) it has evidently explained the characteristics of electrical investigations and physical definition, and has removed the conventional error of geometrical factors in the coil systems and contact points.

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창업보육서비스에 따른 입주기업의 창업보육센터 의존도에 관한 연구 (A Study on Startups' Dependence on Business Incubation Centers)

  • 박재성;리철;김재전
    • 중소기업연구
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    • 제31권2호
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    • pp.103-120
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    • 2009
  • 창업보육센터는 창업을 준비하는 예비창업자 및 신규 창업자에게 사업을 영위하는데 필요한 자원 및 서비스를 제공하고, 사업을 수행하는 과정에서 발생되는 다양한 문제의 해결에 도움을 주고 있다. 그러나 이러한 지원은 상황에 따라 기업의 자생력을 높이기보다는 창업보육센터에 대한 의존도를 높이는 경향이 있다. 본 연구는 창업보육서비스를 제공형태에 따라 인프라 지원, 네트워크 연계 지원, 직접 지원으로 분류한 후에 이들 서비스의 제공이 입주기업의 창업보육센터 의존도에 미치는 영향관계를 살펴보고, 아울러 입주기간에 따른 조절효과를 살펴보았다. 연구결과 세 가지 보육서비스 모두 의존도에 영향을 미치는 것으로 파악되었으며, 입주기간에 따른 조절효과는 기간이 늘어날수록 네트워크 연계 지원서비스에 정의 효과가 있는 반면 직접 지원서비스는 부의 효과가 있는 것으로 파악되었다. 이러한 결과는 입주기간이 늘어감에 따라 직접 지원서비스의 경우에는 입주기업이 센터의 자원을 흡수하여 기업의 역량으로 만들어 가지만, 네트워크 연계 지원서비스는 기업의 센터에 대한 의존도를 높이고 있다는 것을 보여준다. 따라서 신생기업이 자생력을 갖기 위해서는 보육서비스를 보육기간에 따라 차별적으로 제공해야 한다는 시사점을 제시하고 있다.