• Title/Summary/Keyword: Equivalent Domain Integral

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Analysis of Patched Cylindrical Shells with Circumferential Through-Wall Cracks (원주방향 관통균열을 갖는 원통형 쉘 구조의 패치보강 해석)

  • Ahn, Jae-Seok;Kim, Young-Wook;Woo, Kwang-Sung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.6A
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    • pp.411-418
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    • 2012
  • In this study, behavior of unpatched and patched cylindrical shells with through-wall cracks has been estimated using numerical experiments, and patching effect of them has been investigated according to various patching parameters. To show credibility of numerical models considered, two ways such as h- and p-methods have been adopted. Also, domain integral method and virtual crack extension method have been considered to calculate energy release rates based on linear elastic fracture mechanics. For examples, the unpatched cylindrical shells with circumferential cracks under remote tension have firstly been analyzed to show the validity of finite element modeling with h-method or p-method, and then the results have been compared with literature values published. Next, the sensitive analysis of patch repaired problems in terms of thickness of patch and adhesive, shear modulus of adhesive, composite material type of patch, crack length, etc. has been carried out.

New prototypes of target transfer functions for time domain specification (시간영역 설계명세를 위한 목표전달함수의 새로운 표준형)

  • Kim, Sin-Gu;Kim, Yeong-Cheol
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.8
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    • pp.889-897
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    • 1999
  • This paper deals with a problem searching a target transfer function to meet the time-domain specifications for feedback system with given plant transfer function. For the Type I system, we first define three forms of transient response to unit step input, which are named by F, M, S-type. These are charaacterized as follows ; F-type has fast initial response and slow approach to the steady sate after reaching at 90% of the steady state value, S-type has slow initial response but fast approach to the steady state, and M-type is denoted by highly smooth response between F-type and S-type. Three prototypes corresponding to each form are proposed, time. For the order $n{\geq}4$, after determining admissible root structures of target characteristic polynomials empirically and expressing such polynomial coefficients by using special parameters ${\gamma}_i$ and $\epsilon$, the optimal prototypes that minimize the integral of the squared of the modified errors(ISME) have been obtained. Since the step responses of these prototypes have almost same wave forms irrespective to the order, the desired settling time or the rise time can be converted into the equibalent time constant $\tau$ and thus it is easy to obtain a target transfer function. It is shown through a design example that the present prototype is very useful for meeting the time-domain specifications and has been compared with different methods with a viewpoint of pertinence.

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