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

A bending deformation and stiffening plate technology, applied in design optimization/simulation, special data processing applications, instruments, etc., can solve the problems of small reinforcing ribs and local deformation cannot be calculated, so as to achieve small calculation errors and small modification workload , high efficiency effect

Pending Publication Date: 2021-11-30
CHINA SHIP DEV & DESIGN CENT
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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 o

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

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Embodiment Construction

[0111] In order to have a clearer understanding of the technical features, purposes and effects of the present invention, the specific implementation manners of the present invention will now be described in detail with reference to the accompanying drawings.

[0112] Create a coordinate system. according to figure 1 The calculation coordinate system xyz of the stiffened plate is established respectively as shown p and rib calculation coordinate system xyz s , the x-axis is parallel to the axis of the rib, the y-axis is perpendicular to the axis of the rib, and z p axis (z s axis) down. In the above coordinate system, read the y-coordinate of the central position of the web thickness of the stiffener, and denote it as y 1 ,y 2 ,y 3 ...y n .

[0113] Get the known parameters of the calculation. Obtain the following known condition parameters, the length a of the stiffened plate in the x direction, the length b in the y direction; the thickness of the stiffened plate i...

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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...

Claims

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Application Information

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IPC IPC(8): G06F30/15G06F30/23G06F111/10G06F119/14
CPCG06F30/15G06F30/23G06F2111/10G06F2119/14
Inventor 王小明顾文瑾
Owner CHINA SHIP DEV & DESIGN CENT
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