Finite element analysis method for curve stiffened plate

Abstract

The invention discloses a finite element analysis method for a curve stiffened plate. The method comprises the following steps: according to a DST-BK element theory, to obtain a plate element stiffness matrix Kp and a plate element quality matrix Mp; at the interface of a rib and a plate, expressing a rib node displacement by using a plate node displacement according to a rib-plate displacement coupling condition, to obtain a rib element stiffness matrix Ks and a rib element quality matrix Ms after the coordination of the rib-plate displacement; adding the rib element stiffness matrix Ks and the rib element quality matrix Ms to the plate element stiffness matrix Kp and the plate element quality matrix Mp, to obtain a stiffness matrix and a quality matrix of the whole stiffened plate structure, and performing the eigenvalue analysis to obtain dynamic features of the curve stiffened plate. The method is capable of using a plate element node coordinate and a displacement interpolation toobtain the rib element stiffness matrix without the superposed rib-plate element nodes, greatly improving the modeling efficiency of the curve stiffened plate; and performing the modeling analysis onthe curve stiffened plate by using a universal analysis method of thick and thin plates, and avoiding a shearing deadlock problem which can be encountered while a first-order shear deformation theoryis used for analyzing.

Description

technical field [0001] The invention relates to a finite element analysis method for a curved stiffened plate, which belongs to the field of structural modeling and analysis of stiffened plates. Background technique [0002] A stiffened panel is a structural component composed of a base structure and stiffeners connected by a certain way of laying. Because it has the advantages of easy processing, high specific strength, strong bearing capacity, etc., and can increase the critical pressure of structural buckling failure under the premise of the same weight, the stiffened plate has become one of the main structural forms of industrial pressure-resistant structures. Traditionally stiffened slabs usually adopt straight-line stiffening, laid horizontally, vertically or at a certain angle. The linear form cannot improve the utilization rate of materials and is not convenient for optimal design. [0003] When the commercial finite element software performs finite element analysi...

AI Technical Summary

Problems solved by technology

[0004] Purpose of the invention: Aiming at the defects that the traditional finite element software requires the joints of the stiffened plate to overlap, resulting in low modeling efficiency, and the existing modeling method cannot realize the common use of thick and thin plates, the present invention provides a finite element analysis method for curved stiffened plates, which can Realize the general analysis of thick and thin plates with curved reinforcement, and realize the arbitrary arrangement of ribs in the plate, and improve the overall rigidity of the structure by adjusting the curvature of the ribs and the laying position

Images