A three-dimensional vibration analysis method for composite laminate structures

A composite material layer and analysis method technology, which is applied in the field of three-dimensional vibration analysis of composite material laminated structures, can solve problems such as large differences in calculation results, and achieve the effects of facilitating parallel calculations, increasing calculation speed, and reducing structural dimensions

Active Publication Date: 2018-08-17
HARBIN ENG UNIV
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Problems solved by technology

However, this method ignores the discontinuity of the normal stress and shear stress in the thickness direction between the internal layers of the structure, so when the thickness ratio of the structure is relatively high or the material properties of different layers differ greatly, its The calculation results are very different

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  • A three-dimensional vibration analysis method for composite laminate structures
  • A three-dimensional vibration analysis method for composite laminate structures
  • A three-dimensional vibration analysis method for composite laminate structures

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Embodiment Construction

[0035] The present invention will be further described below in conjunction with the accompanying drawings.

[0036] The present invention includes:

[0037] (1) In each layer of the structure, J non-uniformly distributed calculation planes are set along the thickness direction, and the first and Jth calculation planes are selected as the lower surface and upper surface of the layer, respectively. The positions of the 2nd to J-1th calculation planes in the thickness direction are shifted Legendre polynomials P J-2 (z) in the interval [0,h l ]’s real zero point, that is:

[0038]

[0039] in the interval [0,h l ] solution. where l refers to the lth layer of the laminated structure, h l is the layer thickness.

[0040] (2) The structural displacement on each calculation plane is expanded into the form of the product of the Chebyshev polynomial and the boundary characteristic function in the in-plane direction.

[0041] (3) The in-plane directional strain ε of the struc...

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Abstract

The invention relates to a three-dimensional vibration analysis method for a composite laminated structure, and the method is applied to the fields of engineering mechanics and vibration engineering. The method comprises: extracting geometric, material and boundary condition parameters of the structure, and setting J non-uniformly distributed calculation planes in a thickness direction for each layer of the structure; configuring displacements of the structure on the calculation planes; performing in-plane component expansion on the displacement of the structure on each calculation plane, applying a boundary condition through a boundary feature function, and obtaining the displacement of the structure on the calculation plane; calculating in-plane directional strain of the structure on the jth calculation plane in an lth layer; calculating strain and stress of the structure in any position of the lth layer; establishing an energy equation of the structure; and calculating a feature equation of the structure. According to the method, the structure is decomposed into a plurality of calculation planes through spatial lamination plane setting; on one hand, the dimensionality of the structure is reduced, so that the calculation speed is increased and the calculation cost is reduced; and on the other hand, the structure is divided into parts, so that parallel calculation is facilitated and the calculation efficiency is improved.

Description

technical field [0001] The invention relates to a three-dimensional vibration analysis method of a composite material laminated structure applied in the fields of engineering mechanics and vibration engineering. Background technique [0002] Composite laminated structure has light weight, high specific stiffness, high specific strength, heat insulation, sound insulation and excellent vibration and noise reduction performance, so it is widely used in aerospace, military equipment, and scientific and technological buildings and other fields. The dynamic analysis of composite laminated structures has always been the focus of many scholars' attention and discussion. Compared with conventional structures, composite laminated structures consist of complex materials and various layup methods, so their dynamic behavior is more complicated. At present, most of the research at home and abroad still simplify the three-dimensional composite laminated structure into one-dimensional or t...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
Inventor 靳国永叶天贵宿柱马相龙叶新茂石双霞
Owner HARBIN ENG UNIV
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