Method for vibration analysis of bi-directional functionally gradient curved shell

A technology of functional gradient and vibration analysis, applied in instrumentation, geometric CAD, calculation, etc., can solve problems such as constraints, long time required for meshing, less circumferential and axial research, etc., to ensure geometric accuracy, The effect of saving computing cost and improving computing efficiency

Active Publication Date: 2019-01-01
HARBIN ENG UNIV
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  • Abstract
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Problems solved by technology

[0003] In recent years, many scholars have proposed different solutions to the vibration problems of functionally graded curved shell structures, such as finite element, improved Fourier series method, differential quadrature method and dynamic stiffness method, etc., but most of them are Only the continuous gradient change of the material in the thickness direction is considered, and there are few studies on the circumferential and axial directions
At the same time, with the rapid development of science and technology, the theory and application of finite element are becoming more and more mature, meeting the needs of development in various fields. It takes longer and longer, becoming a bottleneck restricting finite element analysis and development

Method used

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  • Method for vibration analysis of bi-directional functionally gradient curved shell
  • Method for vibration analysis of bi-directional functionally gradient curved shell
  • Method for vibration analysis of bi-directional functionally gradient curved shell

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Embodiment 1

[0034] like figure 1 , 3 , Shown in 4, concrete steps of the present invention are as follows:

[0035] like figure 1 and 3 As shown, consider a 1 / 4 structure of a cylindrical shell, the radius of the structure is r=0.2m, the length is L=1m, the total thickness is h=0.02m, and the angle is θ=π / 2; and the material properties are in the axis There is a bidirectional functional gradient change in the direction and the circumference, such as Figure 4 shown. The initial material properties are considered to be aluminum i.e. E 0 =70Gpa,ρ 0 =2700kg / m 3 ,μ 0 = 0.3. Utilize the inventive method to solve it, concrete steps are as follows:

[0036] 1. Extract the control points of the curved shell and the basic parameters of the NURBS spline basis function as shown in Table 1 and Table 2 below;

[0037] Table 1

[0038]

[0039] Table 2

[0040]

[0041] Among them, i, j are parameter space spline coefficients; w i,j is the corresponding weight; B i,j for the contro...

Embodiment 2

[0067] like figure 2 , 3 , Shown in 4, the specific steps of the present embodiment are as follows:

[0068] like figure 2 and 3 As shown, consider a 1 / 4 structure of a cylindrical shell, the radius of the structure is r=0.2m, the length is L=1m, the total thickness is h=0.02m, and the angle is θ=π / 2; and the material properties are in the axis There is a bidirectional functional gradient change in the direction and the circumference, such as Figure 4 shown. The initial material properties are considered to be aluminum i.e. E 0 =70Gpa,ρ 0 =2700kg / m 3 ,μ 0 = 0.3. Utilize the inventive method to solve it, concrete steps are as follows:

[0069] 1. Construct a curved shell model

[0070] 2. Extract the control points of the curved shell and the basic parameters of the NURBS spline basis function as shown in Table 1 and Table 2 below;

[0071] Table 1

[0072]

[0073] Table 2

[0074]

[0075] Among them, i, j are parameter space spline coefficients; w i,j...

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Abstract

The invention belongs to the field of structural dynamics, and relates to a bidirectional functionally gradient curved shell vibration analysis method. The invention utilizes NURBS function to describe unknown domain and geometric model, thus ensuring geometric accuracy and geometric structure response analysis, considering axial and circumferential functional gradient transformation material influence, and realizing different refinement according to actual requirements, thereby improving computational efficiency. In addition, for different curved shell structures, boundary conditions and material properties, only the corresponding geometric control points and spline functions, boundary constraints and material exponential parameters need to be set without reprogramming one by one, which greatly reduces the computational cost.

Description

technical field [0001] The invention belongs to the field of structural dynamics, and relates to a vibration analysis method for a bidirectional functional gradient curved shell. Background technique [0002] Functionally graded material is a new type of composite material whose material properties change continuously along the specified direction. There is no material contact surface in its structure, so it can avoid the sudden change of displacement and stress in the structure, thereby preventing the delamination of materials in the laminated structure. And degumming and other problems, at the same time, it can also meet the work of engineering structures in extreme environments. Due to its excellent mechanical properties, functionally graded structures are widely used in aerospace industry, ship and ocean engineering, mechanical engineering, construction engineering and other fields. The vibration of its structure can often affect the normal operation of the equipment an...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/17G06F2119/06G06F30/20
Inventor 靳国永陈明飞刘志刚张艳涛张春雨杨传猛师康康薛亚强周佳良
Owner HARBIN ENG UNIV
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