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Rectangular thin plate deflection calculation method and computer readable storage medium

A calculation method and storage medium technology, applied in design optimization/simulation, geometric CAD, etc., can solve complex problems such as complex calculation of thin plate deflection, achieve high accuracy, simple deflection calculation formula, and easy to use

Pending Publication Date: 2022-07-08
COLLEGE OF SCI & TECH NINGBO UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

Since the thin plate is different from the general bar element such as beam and column, according to the general thin plate theory, the calculation of the deflection of the thin plate in the elastic state is very complicated, and even under the simplest boundary conditions and uniform load conditions, the deflection of the thin plate Calculations are also complicated

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  • Rectangular thin plate deflection calculation method and computer readable storage medium
  • Rectangular thin plate deflection calculation method and computer readable storage medium
  • Rectangular thin plate deflection calculation method and computer readable storage medium

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Embodiment 1

[0045] The rectangular thin plate in this embodiment is a rectangular thin plate under the condition of simply supporting four sides, and the calculation method for the deflection Δ of the rectangular thin plate includes the following steps:

[0046] Step 1. Establish a rectangular thin plate calculation model: such as figure 1 As shown, the length of the rectangular sheet in this embodiment is a, the width is L, the thickness is t, and L / 20≤t≤L / 5, the elastic modulus of the material is E, the Poisson’s ratio is μ, and the uniform vertical distribution The direction load is q;

[0047] Step 2. Establish a beam element calculation model under the condition of four-side simply supported: intercept a beam element with a width B, a length L, and a thickness t along the length direction of the rectangular thin plate (see Figure 1-2 ), the line load on the simply supported beam model is q 0 =B q (see image 3 ), according to the basic theory of beams, the deflection Δ of this si...

Embodiment 2

[0068] The rectangular thin plate in this embodiment is a rectangular thin plate under the condition that three sides are simply supported and one side is clamped. The method for calculating the deflection Δ of the rectangular thin plate includes the following steps:

[0069] Step 1. Establish a rectangular thin plate calculation model: such as Figure 5 As shown, the length of the rectangular sheet in this embodiment is a, the width is L, the thickness is t, and L / 20≤t≤L / 5, the elastic modulus of the material is E, the Poisson’s ratio is μ, and the uniform vertical distribution The direction load is q;

[0070] Step 2: Establish a beam element calculation model under the condition of three sides simply supported and one side fixed: intercept a beam element with a width B, a length L, and a thickness t along the length direction of the rectangular thin plate. According to the basic theory of beams, such as Image 6 As shown, the deflection Δ of the beam element simply support...

Embodiment 3

[0090] The rectangular thin plate in this embodiment is a rectangular thin plate under the condition of two sides simply supported and two sides fixed, and the method for calculating the deflection Δ of the rectangular thin plate includes the following steps:

[0091] Step 1. Establish a rectangular thin plate calculation model: such as Figure 8 As shown, the length of the rectangular sheet in this embodiment is a, the width is L, the thickness is t, and L / 20≤t≤L / 5, the elastic modulus of the material is E, the Poisson’s ratio is μ, and the uniform vertical distribution The direction load is q;

[0092] Step 2: Establish a beam element calculation model under the conditions of two sides simply supported and two sides fixed: intercept a beam element with a width of B, a length of L, and a thickness of t along the length direction of the rectangular thin plate. According to the basic theory of beams, such as Figure 9 As shown, the deflection Δ of the beam element simply suppo...

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Abstract

The invention discloses a deflection calculation method of a rectangular thin plate and a computer readable storage medium, and the deflection calculation method is characterized in that the length of the rectangular thin plate is a, the width is L, the thickness is t, L / 20 < = t < = L / 5, the elastic modulus is E, the Poisson's ratio is mu, and uniformly distributed vertical loads q are applied to the rectangular thin plate under various boundary conditions; the deflection delta of the rectangular thin plate is calculated by adopting the following formulas: i) under the condition of four-side simple support, the calculation formula of the deflection delta of the rectangular thin plate is ii) under the condition of three-side simple support and one-side fixed support, the calculation formula of the deflection delta of the rectangular thin plate is iii) under the condition of two-side simple support and two-side fixed support, the calculation formula of the deflection delta of the rectangular thin plate is iii) under the condition of two-side simple support and two-side fixed support. The calculation formula of the deflection delta of the rectangular thin plate is the deflection calculation method of the rectangular thin plate in the elastic state, so that the deflection calculation of the rectangular thin plate is simpler.

Description

technical field [0001] The invention relates to the technical field of structural engineering deflection calculation, in particular to a deflection calculation method of a rectangular thin plate in an elastic state, in particular, a rectangular elastic thin plate made of three common materials under three different boundary conditions The calculation method of the maximum vertical displacement under the rigidity determination method of prefabricated composite floor. Background technique [0002] The thin plate is the basic component commonly used in the building structure, and the deflection of the thin plate is an important content in the thin plate design. Since the thin plate is different from the general rod elements such as beams and columns, according to the general thin plate theory, the calculation of the deflection of the thin plate in the elastic state is very complicated, and even under the simplest boundary conditions and uniform load conditions, the deflection o...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/17G06F30/23
CPCG06F30/17G06F30/23
Inventor 王新堂
Owner COLLEGE OF SCI & TECH NINGBO UNIV
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