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AbstractAbstract
[en] From the viewpoint of limit analysis of three dimensional plate structures, collapse load can be defined when the bending strength is exhausted. Basing on such consideration new beam and plate bending elements are proposed. A new beam element consists of rigid bars connected by a rotational spring, while a plate element consists of rigid plates with a rotational spring. Size of stiffness matrices of these bending elements are 1/2 of a well-known beam bending element and 1/3 of triangular plate bending element respectively, and therefore considerable reduction of computing time can be expected in routine finite element analysis of structures with minor penalty in increase of mesh division. The spring constants k in the matrices can be computed theoretically by using the finite difference formula for the curvature based on the second order polynomial approximation. The result of limit analysis of a beam clamped at both ends under a single concentrated load and the results of collapse load analysis of a rectangular plate with unusual boundary conditions are shown. Agreement between calculation and experiment was found to be extremely good. The author believes that the use of these new elements will be especially effective in nonlinear analysis of complex structures. Extended application of these models to in-plane, shell and three dimensional problems were also successful. Dynamic collapse load analysis of simple beam and plate structures is also presented
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v. K(a); 1977; K 3/8, 11 p; 4. International conference on structural mechanics in reactor technology; San Francisco, Calif., USA; 15 - 19 Aug 1977
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Conference
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