• Transactions of the Korean Society of Mechanical Engineers
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• v.13 no.4
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• pp.595-603
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• 1989

Free vibration of orthotropic laminated composite conical shells with constant thickness are considered. Governing frequency equations are derived based on the Flugge theory and Galerkin method is applied for the numerical analysis. Comparisons are made between present results and others for the isotropic conical shells and numerical results are obtained based on these results for the specially orthotropic laminated composite conical shells with simply supported edges. Variations of frequency parameter on the change of material properties, stacking sequences, stacking number, geometrical parameters and orthotropic parameters are considered in the analysis.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.22 no.2
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• pp.189-196
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• 2009

This paper presents the subparametric finite element model formulated by partial-linear layerwise theory for the analysis of laminate composites. The proposed model is based on refined approximations of two dimensional plane for orthotropic thick laminate plate as well as thin case. Three dimensional problem can be reduced to two dimensional case by assuming piecewise linear variation of in-plane displacement and a constant value of out-of-plane displacement across the thickness. The integrals of Legendre polynomials are chosen to define displacement fields and Gauss-Lobatto numerical integration is implemented in order to directly obtain maximum values occurred at the nodal points of each layer without other extrapolation techniques. The validity and characteristics of the proposed model have been tested by using orthotropic multilayered plate problem as compared to the values available in the published references. In this study, the convergence test has been carried out to determine the optimal layer model in terms of central deflection and stresses. Also, the distribution of displacements and stresses across the thickness has been investigated as the number of layer is increased.

• Transactions of the Korean Society of Mechanical Engineers
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• v.16 no.10
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• pp.1807-1815
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• 1992

The vibration characteristic of thin laminated orthotropic cylindrical shell is investigated based on the Donnell theory. The Rayleigh-Ritz variational procedure is employed. For the variety of shell end conditions, the beam characteristic function is used for the axial mode function. The result of the present analysis is in good agreement with some available analytical results and NASTRAN and BOSOR4 calculations. In the present study, the relation between natural frequencies and orthotropic parameter k is investigated. Introducing the frequency parameter, this study shows that the frequency parameter increases as the orthotropic parameter k approaches to one.

• Journal of Korean Society of Steel Construction
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• v.14 no.6
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• pp.701-710
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• 2002

An analysis program using orthotropic plate elements was developed to simplify the analysis of plates stiffened with open ribs and the orthotropic behavior of stiffened plates and the application of this program were evaluated using the sensitivity analysis and the parametric study. The inertial moment ratio, i.e., the ratio of the inertial moment of the rib to that of the plate was defined and the orthotropic behavior of stiffened plates corresponding to the inertial moment ratio was proved by the sensitivity analysis. To evaluate the application of this program, the parametric study for various types of stiffened plates was performed and then the maximum displacement of this study was compared to that of ABAQUS using isoparametric plate elements. The Results of this study agreed well with that of ABAQUS at the particular inertial moment ratio, that is proposed to the limit ratio of the orthotropic plate analysis and the correlative function between the error ratio and the inertial moment ratio was obtained. Therefore, the orthotropic plate analysis of stiffened plates with open ribs could have safe results over the limit ratio and also have good results simply by using the correlative function of this study.

• Journal of Korean Society of Steel Construction
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• v.17 no.1 s.74
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• pp.23-32
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• 2005

In this paper, the modified coefficient of the orthotropic rigidity for stiffened plates with open ribs is proposed to improve the inaccurate results of the orthotropic plate analysis. For stiffened plates with rectangular and angle ribs having various aspect ratios and boundary conditions, the aspect ratio and the rigidity ratio are selected as parameters and the parametric study on the modified coefficient is performed. Analyzed results of stiffened plates modeling with the isotropic and orthotropic plate element show that the modified coefficient can be expressed as a function of the rigidity ratio for each rib space regardless of the aspect ratio in case of the aspect ratio under 1 and can be represented as a single union function without regard to rib spaces and aspect ratios in the other case. The results also shows that the effects of the boundary condition on the modified coefficient is small and coefficient functions have different values according to rib shapes. The application to examples shows that the modified coefficient of the orthotropic rigidity improves accuracy. Therefore, the orthotropic plate analysis of stiffened plates with open ribs can easily achieve more accurate results using the coefficient function proposed in this study

• Journal of Korean Society of Steel Construction
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• v.19 no.2
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• pp.161-170
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• 2007

In this study, to improve on the inaccurate results of the orthotropic plate analysis, we aim to propose a modified coefficient of the orthotropic flexural rigidity for stiffened plates with rectangular ribs considering the dimensions of ribs. The sensitivity of the flexural rigidity and the maximum displacement according to the dimensions of stiffened plates were analyzed and the parametric study on the modified coefficient of the orthotropic flexural rigidity of stiffened plates was performed. The results show that the ratio of modified coefficients can be expressed as a function for each rib height, space and thickness regardless of plate thickness and the modified flexural rigidity can be easily estimated from the ratio functions of modified coefficients. The application of the coefficient function to various types of stiffened plates with different boundary conditions, aspect ratios, rib arrangement and loading size shows that the proposed function improves the accuracy of the orthotropic plate analysis compared with the results of the reference. Therefore, the orthotropic plate analysis of stiffened plates with rectangular ribs can easily achieve more accurate results using the coefficient function proposed in this study.

• Journal of the Korea Institute of Military Science and Technology
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• v.8 no.4 s.23
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• pp.136-145
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• 2005

특이응력해석을 위한 일반화된 가역상반일 경계적분식이 섬유강화복합재를 모형화한 직교 이방성 크랙평판의 수치해를 위하여 발전시켰다. 이 적분방정식은 평판경계에서의 탄성변위와 트랙션의 변수로 구성된 경계적분식의 형태로 하중이 없다는 두 크랙면의 경계조건과 유한의 탄성변형에너지의 개념에서 경계적분식에 필요한 특성해를 규정하고 대응되는 보조해를 계산하였다. 대칭모우드 I형의 중앙원공크랙평판 및 복합모우드형의 반원편측크랙 일단고정평판의 응력확대계수가 임의의 섬유방향각에 따라서 계산되었다.

• Transactions of the Korean Society of Mechanical Engineers
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• v.10 no.6
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• pp.929-936
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• 1986

Free vibration characteristics of laminated orthotropic circular cylindrical shells with clamped free boundary condition are investigated. The solution is obtained through a direct solution procedure with axial mode displacements represented as simple Fourier series expressions. On the basis of the thin shell theories of Sanders, Love, Loo, Morley and Donnell, the 4*$ frequency determinant is derived and is expressed in a unified form. Various numerical examples determining the natural frequencies of circular cylindrical shells with isotropic material and also with layers of orthotropic elastic material arbitraily laminated either symmetrically or anti-symmetrically about the shell middle surface. The results obtained compared very well with some available experimental and numerical results.

• Transactions of the Korean Society of Mechanical Engineers
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• v.11 no.5
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• pp.789-799
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• 1987

The stress state and displacement for the orthotropic cylindrical shell subjected to line load along a generator is presented. It is assumed that the behavior of the material is specially-orthotropic. The governing equation for orthotropic cylindrical shell is derived on the basis of Novozhilov's shell theory. General solution is obtained by extending the Naghdi's method for the isotropic cylindrical shell under the line load. Numerical examples are presented for circular cylindrical shells having various othotropic material properties and geometries.

• Journal of the Korea Institute of Military Science and Technology
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• v.2 no.1
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• pp.110-120
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• 1999

Transient hygrothermal stresses in an infinitely long hollow cylinder subjected to heating in hygroscopic environments at the surfaces are studied. The equations of hygrothermoelasticity based on the plane strain assumption are formulated by considering the coupling effects between heat and moisture. A closed form solution for the transient hygrothermal stresses is obtained by using decoupling techniques and the method of separation of variables. Numerical results including distributions of temperature and moisture concentration are presented. Effects of transient hygrothermal characteristics are clearly shown in both displacements and stress distributions in the wall of hollow cylinder.