A Finite Element Analysis Method for the Dynamic Response of Plate and Shell Structures with Large Rotational Deformation

A technology of plate and shell structure and analysis method, applied in the field of finite element analysis, can solve the problems that important conservation characteristics are not reflected

Inactive Publication Date: 2018-01-02
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, for a structural system that is not affected by external forces, in addition to the structural energy satisfying the conservation law, the linear momentum and angular momentum of the structure also satisfy the conservation law, but in this paper, this important conservation feature is not reflected

Method used

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  • A Finite Element Analysis Method for the Dynamic Response of Plate and Shell Structures with Large Rotational Deformation
  • A Finite Element Analysis Method for the Dynamic Response of Plate and Shell Structures with Large Rotational Deformation
  • A Finite Element Analysis Method for the Dynamic Response of Plate and Shell Structures with Large Rotational Deformation

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Embodiment

[0098] The effects of the present invention will be described below in conjunction with specific examples. It should be pointed out that the specific examples described here are only used to explain the present invention, not to limit the present invention. In addition, it should be noted that the protection scope of the present invention is not limited to the following calculation example.

example 1

[0099] Example 1: Dynamic response of a fixed spherical cap shell

[0100] The geometric shape and section of the spherical cap shell are as follows: figure 2 As shown, the geometric dimensions are: radius R = 0.1209m, angle α = 10.9°, thickness h = 0.0004m, height of spherical cap H = 0.002182m. The elastic modulus, Poisson's ratio and density of the material are E=68.94GPa, v=0.3 and ρ=2618kg / m respectively 3 . The periphery of the spherical cover shell is fixed, and is subjected to a step concentration force F at its apex A, where F=444.8N, t≥0s. Using symmetry, a quarter structure of the spherical cap shell is selected for modeling, and the number of elements is 200. The time step is Δt=2μs=2×10 -6 s, the calculation time is 500μs. The selected time integration algorithms are the energy-momentum conservation algorithm and the energy-decay-momentum conservation algorithm1(ρ ∞ =0.80, ξ=0) energy decay momentum conservation algorithm 2(ρ ∞ =1.0, ξ=0.05). Under the ac...

example 2

[0101] Example 2: Free Motion of a Rectangular Thin Shell

[0102] Rectangular thin shell such as Figure 5As shown, the geometric dimensions are: length L=0.3m, width w=0.06m, thickness h=0.002m. The elastic modulus, Poisson's ratio and density of the material are E=206GPa, v=0 and ρ=7800kg / m respectively 3 . The rectangular thin shell is not constrained, and is subjected to external forces on each node of the three positions shown in the figure, where the expression of f(t) is

[0103]

[0104] The number of computing units is 15×3×2, and the time step is Δt=5.0×10 -5 s, the calculation time is 0.1s. The selected time integration algorithm is the selected time integration algorithm respectively the energy-momentum conservation algorithm and the energy-decay-momentum conservation algorithm1(ρ ∞ =0.95, ξ=0) energy decay momentum conservation algorithm 2(ρ ∞ =1.0, ξ=0.02).

[0105] Under the action of external force, the rectangular thin shell produces large three-dim...

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Abstract

The invention discloses a finite element analysis method for the dynamic response of a plate shell structure with large rotational deformation, and belongs to the field of calculating nonlinear structural dynamics. The method comprises the following steps: 1. Establishing a geometric model of the plate and shell structure in computer-aided design software, and then importing it into computer-aided engineering software for mesh division; 2. Establishing a plate and shell element analysis model that takes into account the effect of large rotation deformation ;3. Introduce the time integration algorithm and iterative technology to establish the calculation and analysis model for the dynamic response analysis of the plate and shell structure; 4. Compile the finite element analysis program; 5. Configure the computing environment to calculate the dynamic response of the plate and shell structure. The invention provides an effective calculation and analysis tool for the calculation of the dynamic response of the plate shell structure involving large rotational deformation. For the structural system without external force, this method can not only conserve the structural energy, but also conserve the structural momentum, which makes up for the shortcomings of the existing analysis techniques.

Description

technical field [0001] The invention relates to a finite element analysis method for the dynamic response of a plate shell structure with large rotational deformation, and belongs to the field of calculating nonlinear structural dynamics. Background technique [0002] Plate and shell structures are widely used in various structural projects due to their excellent mechanical properties. Since they are often accompanied by nonlinear dynamic phenomena of large displacement and large rotation when subjected to external loads, efficient and practical analysis techniques are developed to calculate their The nonlinear dynamic response has important research significance and wide application value for its design and vibration control. [0003] Finite element analysis is a computer-aided solution method that uses numerical simulation techniques to find approximate solutions to partial differential equations that describe the mechanics of a structure under load. With the continuous a...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
Inventor 杨劲松夏品奇
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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