Three-dimensional vibration analysis method for composite laminated structure

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 complex. At present, most of the research at home and abroad still simplify the three-dimensional composite laminated structure into one-dimensional or two-d...

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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

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