• Title/Summary/Keyword: 무차원 해석

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Dichotomy of Viscoelastic Fluids by Their behavior in An Extensional Flow (신장 유동장에서의 거동에 의한 점탄성 유체의 양분)

  • 김병민
    • The Korean Journal of Rheology
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    • v.5 no.1
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    • pp.14-22
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    • 1993
  • 신장유동의 예로 등온 방사공정을 구성방식의 예로 변형률속도에 따라 변하는 풀림 시간을 가지는 White-Metz-ner 모델을 사용해서 점탄성유체의 거동에 관한 해석적 연구를 수행했다, 그결과 풀림시간의 변형률속도에 대한 의존도에 따라 점탄성유체를 두가지로 구 분할 수 있음을 알 수 있었다, 다시말해서 풀림시간이 변형률속도에 대해서 작은 의존도를 가지는 그룹I의 유체의 경우는 변형률속도가 커짐에 따라 신장점도가 증가하며 Weissen-berg수 (무차원 풀림시간)가 커짐에 따라 방사사선의 속도가 증가한다, 반면에 풀 림시간이 변형률속도에 대해서 큰 의존도를 가지는 그룹 II의 유체의 경우는 변형률 속도가 커짐에 따라 신장점도가 감소하며 Weissenberg수가 커짐에 따라 방사사선의속도가 감소한 다. 이렇게 대조적딘 점탄성유체에 관한 결과는 유사한 거동을 보고한 다른 연구자들의 결 과와 잘 부합한다. 또한 Weissenberg수가 다른경우의 신장점도 곡선들을 무차원 변형률속 도를 Weis-senberg수에 비례하게 Shift 시키면 master Curve를 얻을수 있었다.

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Free Vibration Analysis of Arbitrarily Shaped Plates with Free Edges Using Non-dimensional Dynamic Influence Functions (무차원 동영향 함수를 이용한 자유단 경계를 가진 임의 형상 평판의 자유진동해석)

  • 강상욱;김일순;이장무
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.10
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    • pp.821-827
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    • 2003
  • The so-called boundary node method (or NDIF method) that was developed by the authors has been extended for free vibration analysis of arbitrarily shaped plates with free edges. Since the proposed method requires no interpolation functions. no integration Procedure is needed on boundary edges of the plates and only a small amount of numerical calculation is involved, compared with FEM and BEM. In order to explain tile reason why spurious eigenvalues are generated when the NDIF method is applied to free plates, the NDIF method has been considered for free vibration analysis of both a fixed string and a free beam. Finally, verification examples show that natural frequencies obtained by the present method agree well with those given by an exact method or a numerical method (ANSYS).

Buckling Analysis of Built up Column with Stay Plates by the Generalized Differential Quadrature Method (GDQM에 의한 띠판을 갖는 조립 칼럼의 좌굴 해석)

  • 신영재;김재호;정인식
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.9
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    • pp.462-474
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    • 2001
  • In this paper, Generalized Differential Quadrature Method is applied to the buckling analysis of built-up columns without or with stay plates. numerical analysis using GDQM is carried out for various boundary conditions(simply supported conditions, fixed conditions, fixed-simply supported conditions), dimensionless stiffness parameter and dimensionless inertia moment parameter. The accuracy and convergence of solutions are compared with exact solutions of Gjelsvik to validate the results of GDQM. Results obtained by this method are as follows. 91) This method can yield the accurate numerical solutions using few grid points. (2) The buckling load of built-up column increases as the dimensionless stiffness parameter decreases. (3) The effects of boundary conditions on the buckling load are not considerable as the dimensionless stiffness parameter increases. (4) The buckling load of built-up column increases due to the stay plate.

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Free Vibrations of Arches in Cartesian Coordinates (직교좌표계에 의한 아치의 자유진동)

  • Lee, Byoung-Koo;Lee, Yong-Soo;Kim, Il-Jung;Choi, Kou-Moon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.12
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    • pp.970-978
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    • 2002
  • The differential equations governing free vibrations of the elastic arches with unsymmetric axis are derived in Cartesian coordinates rather than in polar coordinates. in which the effect of rotatory inertia is included. Frequencies and mode shapes are computed numerically for parabolic arches with both clamped ends and both hinged ends. Comparisons of natural frequencies between this study and SAP 2000 are made to validate theories and numerical methods developed herein. The convergent efficiency is highly improved under the newly derived differential equations in Cartesian coordinates. The lowest four natural frequency parameters are reported, with and without the rotatory inertia, as functions of three non-dimensional system parameters the rise to chord length ratio. the span length to chord length ratio, and the slenderness ratio. Also typical mode shapes of vibrating arches are presented.

Shore Attachement of Jet in Flowing Environment (흐름수역에서 ?흐름의 연안귀환)

  • Yoon, Tae Hoon;Yook, Woon Soo;Han, Woon Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.4_1
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    • pp.43-52
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    • 1992
  • The shore attachment of jet in a cross flow is analysed by experiments and dimensional analysis. The jet flow is discharged with the same depth as that of the cross flow through a side channel perpendicular to the cross flow through a side channel perpendicular to the cross flow. For a momentum jet, nondimensional attachment length and height are dependent on nondimensional characteristic length $I_m/W$. For a buoyant jet, nondimensional attachment length is affected by $I_b/I_md$ and nondimensional temperature distribution is a function of $x/I_b$ and they all can be predicted as power laws. The shore attachment condition can be specified by velocity ratio R.

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Free Vibration Analysis of Cantilevered Composite and Hybrid Composite Triangular Plates (외팔형 복합재료 및 혼합적층 삼각판의 자유진동 해석)

  • 최명환;이영신
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1992.10a
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    • pp.153-157
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    • 1992
  • 본 연구에서는 복합재료와 혼합적층 외팔형 삼각판의 동적거동을 실험을 통하여 파악하였다. 또한 실험 결과들의 비교를 위해서 FEM 해석을 수행하였다. 실험과 FEM의 결과들은 고유진동수(Hz)로 제시하였고, 또한 참고문헌과의 비교를 위해서 무차원 진동수매개 변수로 나타내었다. 그리고 외팔형 삼각판의 노달라인을 나타내었다.

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Dynamic Stability Analysis of Thick Plates with Varying Thickness and Concentrated Mass on Inhomogeneous Pasternak Foundation (비균질 Pasternak 지반에 놓인 집중질량을 갖는 변단면 후판의 동적안정해석)

  • Lee, Yong-Soo;Kim, Il-Jung
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.8
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    • pp.698-707
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    • 2011
  • This paper is to analyze the stability of the thick plate on inhomogeneous Pasternak foundation, with linearly varying thickness and concentrated mass by finite element method. To verify this finite element method, the results of natural frequencies and buckling stresses by the proposed method are compared with the existing solutions. The dynamic instability regions are decided by the dynamic stability analysis of the thick plate on inhomogeneous Pasternak foundation, with linearly varying thickness and concentrated mass. The non-dimensional Winkler foundation parameter is applied as 100, 1000 and non-dimensional shear foundation parameter is applied as 5. The tapered ratios are applied as 0.25 and 1.0, the ratios of concentrated mass to plate mass as 0.25 and 1.0, and the ratio of in-plane force to critical load as 0.4. As the result of numerical analysis of the thick plate on inhomogeneous Pasternak foundation for $u{\times}v=300cm{\times}300cm$ and $a{\times}b=600cm{\times}600cm$, instability areas of the thick plate which has the larger rigidity of inner area are farther from ${\beta}$-axis and narrower than those which has the larger rigidity of outer area.

Stress Effects on Activity of Primary Cracks Initiating at Stress Concentrator (응력 집중원에서 발생하는 초기 균열의 거동에 미치는 응력장의 영향)

  • Song, Sam-Hong;Kim, Jin-Bong
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.3 s.96
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    • pp.145-153
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    • 1999
  • This study has been performed to investigate the stress distribution around defects that behave as stress concentrators and fracture mechanical analysis for cracks initiatiating at stress concentrators. The stress distribution was analyzed using Finite Element Method and non dimensional stress intensity factor was determined by the mean stress method. In addition, stress interaction effects around defects and cracks were compared.

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Modeling and Vibration Analysis of Rotating Thick Beams (회전하는 두꺼운 외팔보의 모델링 및 진동특성 해석)

  • 신상하;유홍희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.10a
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    • pp.179-184
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    • 1995
  • 본 논문은 단면관성 효과와 전단효과를 고려한 회전하는 두껍고 짧은 외팔보의 진동해석모델링을 제시하였으며 수치해석을 통해 다음과 같은 결론을 얻었다. 세장비가 큰 경우(.alpha.는 70 이상) Timoshenko 해석모델과 Euler 해석모델에 의한 고유진동수 예측은 거의 차이가 없다. 그러나 세장비가 작은 경우 Euler 해석모델은 Timoshenko 해석모델에 비해 큰 무차원 고유진동수 값을 예측하며 특히 고차모드에서 두 모델은 큰 해석결과의 차이를 보여주었다. 따라서 보의 세장비가 작은 경우, 보가 회전할 때도 일반적 해석경우와 마찬가지로 Timoshenko 해석모델을 사용해야 된다는 자연스러운 결론을 얻을 수 있었다.

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