Semi-analytical method for calculating bending deformation and stress of stiffened plate

Abstract

The invention relates to a semi-analytical method for calculating bending deformation and stress of a stiffened plate. The method comprises the following steps: S1, calculating potential energy of a stiffened plate system, wherein the potential energy is work of subtracting external force from a sum of strain energy of the stiffened plate and strain energy of a reinforcing rib; S2, deriving a stiffened plate bending balance equation through a variational method by applying a minimum potential energy principle; S3, setting an unknown function as double Fourier series, wherein the set Fourier series needs to meet boundary conditions firstly, and only a constant to be determined is reserved and determined through a bending balance equation; S4, substituting the unknown function expression containing a to-be-determined constant into the bending balance equation of the stiffened plate, determining the to-be-determined constant by adopting a Galerkin algorithm, and solving the bending deformation of the stiffened plate; substituting the deformation expression into an elastic mechanical geometric equation and a physical equation, and calculating bending stress of the stiffened plate. The bending deformation and the bending stress of ship body stiffened plates can be quickly and conveniently calculated.

Description

technical field [0001] The invention belongs to the technical field of ship structure calculation, in particular to a semi-analytic method for calculating the bending deformation and stress of a stiffened plate. Background technique [0002] In the field of ship structure design, whether the structural design scheme is safe and whether it meets the design standards needs to be verified through calculation and verification. The stiffened plate is the most common structural form in the ship structure. During the navigation and use of the ship, the bending of the stiffened plate is a common stress state of the ship components. Although the general finite element software can calculate the bending deformation and bending stress of the stiffened plate, in the actual design, the scheme is often changed repeatedly and gradually iteratively optimized, which leads to a very heavy workload of modifying and changing the finite element model. [0003] The existing analytical or semi-an...

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Problems solved by technology

For the calculation method of equating the stiffened plate to an orthotropic plate, in order to ensure the accuracy, the size of the stiffeners is required to be relatively small and densely arranged, and the load form is a uniform load or a concentrated load acting on the stiffeners. In practice These conditions are often difficult to meet at the same time; and the calculation method that equates the stiffened plate to the main beam system can only calculate the overall deformation, and the local deformation cannot be calculated.

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