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유한대판법에 의한 여러가지 경계조건을 갖는 판의 휨 해석
황충열,윤일노 충북대학교 건설기술연구소 1993 建設技術論文集 Vol.12 No.1
This study is concerned with the flexural analysis of plate under the various boundary conditions plate by the Finite Strip Method. The minimum total potential energy theorem is employed to develop the stiffness matrix of a strip for the plate in bending. The overall stiffness matrix is obtained by assembling the individual ones. To demonstrate the accuracy and convergence of the method, a beam example is given and stresses and displacements converge to the exact solution. It is regarded that the application of the Finite Strip Method for the analysis of the plate make time and cost saved and this work can be applied to the plates subject to any boundary conditions.
황충열 충북대학교 건설기술연구소 1999 建設技術論文集 Vol.18 No.2
A technique is presented for the analysis of transversely loaded thin rectangular plates on Winkles foundations and is used in a parametric study of plate behaviour. The technique is based on Fourier series expansions and is similar to one already described for thick slabs. For thin plates only flexural deformation is accounted for, whereas for thick plates the energy due both to transverse shear and transverse direct strains is included. Both methods of analysis are then used on a variety of plates of different thicknesses and material properties and under various loading conditions. From the results, general conclusions can be drawn on the range of applicability of $quot;thin$quot; plate theory and conversely point to situations when the use of $quot;thick$quot; plate theory is essential.
황충열 충북대학교 건설기술연구소 1992 建設技術論文集 Vol.11 No.1
A $quot;solid of revolution$quot; is an axisymmetric solid which may be subjected to various of load, such as a centrifugal force when rotating, great pressure from some substance inside it, or external pressure (wind, hydraulic, soil, and so an). The precise analysis of such structures is necessary to apply to the safe design of solids of revolution. A cylindrical container which contains an explosive is chosen in this study as the model for analysis. This may be formed by circulating a rectangular cross section 180 degrees about the Z axis. Therefore, a ring element of an isoparametric quadrilaterals section is used for the finite element method which is the main theory in this paper. In this particular structural shape, a cylindrical coordinate system is very convenient for expressing relationships such as that between stress and strain. Geometric characteristis of certain finite elements lead to the use of dimensionless (or natural) coordinate systems in place of Cartesian coordinates. Thus, in the relation of a generic displacement and nodal displacement in the local coordinate of an element, a displacement function will be introduced. This function is assumed, so must be introduced as an assumed displacement shape function. This should be differentiated by a differential operator which is obtained in the relation between strain and displacement. In this procedure we may get the matrix B (B=df) and use the chain rule to convert local coordinates, which use dimensionless(natural) coordinate, to ilobal coordinates, which use a cylindrica coordinate system. The equation to evaluate the stiffness matrix is expressed as an algebraic integral and so is solved readily by numerical integration. Through running the program AXSOQ4 we obtained the nodal displacement, element stresses and support reactions which are satisfactory.