• Structural Engineering and Mechanics
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• 제61권6호
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• pp.747-754
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• 2017

Exact solutions for stresses for an infinite rectangular plate perforated by two circular holes of different radii subjected to uni-axial or bi-axial uniform loads are investigated using the Airy stress function. The hoop stresses occurring at the edge of the circular hole are computed and plotted. Comparisons are made for the stress concentration factors for several types of loading conditions.

• 대한기계학회논문집
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• 제15권2호
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• pp.396-403
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• 1991

A solution is presented for the computation of the elastic-creep stresses in a hollow cylinder subjected to nonaxisymmetric temperature distribution. The creep problem is treated by the Maxwell creep model. Laplace transformation is used for reformation of the governing equation of elastic problem and Hooke's law in a function of .gamma. , .theta. , and creep constant. The governing equation is set up using the Airy stress function which leads to the biharmonic equation. The solution is obtained by using Fourer series method and Laplace inverse method used to obtain the stress components which include the variation of time. This solution shows excellent agreement with Lamkin's and Boley & Weiner's solution. The viscoelastic stresses are also obtained for the fuel rob tube subjecting nonaxisymmetric thermal load.

• Structural Engineering and Mechanics
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• 제58권5호
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• pp.783-797
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• 2016

Exact solutions for stresses, strains, and displacements of a perforated rectangular plate by an arbitrarily located circular hole subjected to both linearly varying in-plane normal stresses on the two opposite edges and in-plane shear stresses are investigated using the Airy stress function. The hoop stress occurring at the edge of the non-central circular hole are computed and plotted. Stress concentration factors (the maximum non-dimensional hoop stresses) depending on the location and size of the non-central circular hole and the loading condition are tabularized.

• Structural Engineering and Mechanics
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• 제60권2호
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• pp.351-363
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• 2016

Exact solutions for stresses, strains, displacements, and the stress concentration factors of a rectangular plate perforated by an arbitrarily located circular hole subjected to in-plane pure shear loading are investigated by two-dimensional theory of elasticity using the Airy stress function. The hoop stresses, strains, and displacements occurring at the edge of the circular hole are computed and plotted. Comparisons are made for the hoop stresses and the stress concentration factors from the present study and those from a rectangular plate with a circular hole under uni-axial and bi-axial uniform tensions and in-plane pure bending moments on two opposite edges.

• Advances in Computational Design
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• 제5권2호
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• pp.147-175
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• 2020

To achieve appropriate stresses, two new rectangular elements are presented in this study. For reaching this aim, a complementary energy functional is used within an element for the analysis of plane problems. In this energy form, the Airy stress function will be used as a functional variable. Besides, some basic analytical solutions are found for the stress functions. These trial functions are matched with each element number of degrees of freedom, which leads to a number of equations with the anonymous constants. Subsequently, according to the principle of minimum complementary energy, the unknown constants can be expressed in terms of displacements. This system can be rewritten in terms of the nodal displacement. In this way, two new hybrid-rectangular triangular elements are formulated, which have 16 and 40 degrees of freedom. To validate the outcomes, extensive numerical studies are performed. All findings clearly demonstrate accuracies of structural displacements, as well as, stresses.

• 대한기계학회논문집A
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• 제28권9호
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• pp.1255-1261
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• 2004

A variational approximation procedure is introduced to study the contact stresses between a representative asperity and a feature generally happening in superfinishing processes such as FAM. After a description of the model under consideration is presented, a system of governing equation for the model is derived fullowed by the assumptions made in order to make progress in model development. Final computation is made to evaluate contact stresses on an elastic asperity tip in small scale in size and a computer simulation is performed for detailed surface profile variations on a representative feature. Numerical results are presented along with a discussion of the conclusions that can be drawn from this analysis.

• 대한기계학회논문집A
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• 제37권3호
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• pp.345-352
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• 2013

본 논문에서는 광탄성 실험 하이브리드 법을 이용하여 접촉응력문제를 해석하는 경우의 응력형상 함수에 대해서 다루고 있다. 일반적으로 접촉응력문제는 반평면 문제로써 해석 되어지므로, 접촉응력의 경우 Airy 응력함수를 구성하는 두 해석적인 응력함수의 관계는 균열문제에서와 유사하였다. 그러나 이 관계를 그대로 접촉응력문제 (특히 특이점을 가진 경우)에 사용할 수가 없다. 그러므로 정확한 접촉문제의 해석을 위해 이들 두 해석적인 응력함수의 형태에 접촉하는 두 끝점의 조건에 따른 응력형상함수를 반드시 고려하여야만 할 것이다. 두 접촉끝점의 응력 특이성에 따라 4종류로 분류되는 이들 응력형상함수 중에서 오링 해석을 위한 중요한 두 종류의 응력형상함수를 선택하였으며, 이것의 유효성을 검증하였다.

• Smart Structures and Systems
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• 제8권4호
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• pp.413-431
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• 2011

Under the external shearing stress, the external radial stress and the electric potential simultaneously, the piezoelectric hollow cylinder transducer is studied. With the Airy stress function method, the analytical solutions of this transducer are obtained based on the theory of piezo-elasticity. The solutions are compared with the finite element results of Ansys and a good agreement is found. Inherent properties of this piezoelectric cylinder transducer are presented and discussed. It is very helpful for the design of the bearing controllers.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2004년도 추계학술대회
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• pp.73-78
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• 2004

In this research, the photoelastic experimental hybrid method with Hook-Jeeves numerical method has been developed: This method is more precise and stable than the photoelastic experimental hybrid method with Newton-Rapson numerical method with Gaussian elimination method. Using the photoelastic experimental hybrid method with Hook-Jeeves numerical method, we can separate stress components from isochromatics only and stress intensity factors and stress concentration factors can be determined. The photoelastic experimental hybrid method with Hook-Jeeves had better be used in the full field experiment than the photoelastic experimental hybrid method with Newton-Rapson with Gaussian elimination method.

• 콘크리트학회논문집
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• 제13권2호
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• pp.93-98
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• 2001

CFT 기둥은 탁월한 구조적 성능을 발휘하는데, 이는 강관과 콘크리트의 복합거동에 기인하는 것이다. 이러한 CFT 기둥의 거동을 예측하기 위해서는 강관과 콘크리트 사이의 부착거동을 파악해야 한다. 그러나 이형철근을 대상으로 한 대부분의 기존 모델식은 CFT 기둥에 적용할 수 없으므로, 새로운 모델식의 개발이 필요하다. 본 논문의 목적은 구속압이 발현된 상태의 CFT 기둥에서 콘크리트와 강관의 부착응력과 수직응력의 관계, 기둥단면에서의 응력 분포도를 고려한 부착거동에 관한 모델식의 개발이다. 평형조건으로부터 콘크리트와 강관의 부착응력과 수직응력의 관계를 유도하였으며, 이차원 문제의 Airy 응력함수(stress function)로부터 CFT 기둥 단면에서의 횡방향 응렬 관계를 파악하였다. 그리고 5개의 CFT 기둥 실험체에 대해 콘크리트에만 하중을 가하는 실험을 실시하였고, 측정된 변형률로부터 회귀분석의 방법을 통해 부착강도와 횡방향 구속압의 관계를 파악하였다. 이로부터 새로운 부착강도 모델식을 제안하였으며, CFT 기둥에서 콘크리트만 가압한 경우의 각 방향 응력관계를 파악하였다.