A Vibration Analysis Method for 3D Coupled Structures

Abstract

The invention discloses a vibration analysis method for a three-dimensional coupled structure. The method comprises the steps that a coupled plate is divided into sub-unit plate structures; a displacement field function of the coupled plate structures is decomposed, and in-plane and out-plane displacement vectors and in-plane and out-plane external force vectors are calculated in combination withboundary conditions; mapping of in-plane and out-plane boundary displacement and force on a boundary is calculated; an in-plane dynamic stiffness matrix and an out-plane dynamic stiffness matrix are calculated; the dynamic stiffness matrixes are combined, and an in-plane and out-plane dynamic stiffness matrix is calculated; a dynamic stiffness matrix and a kinematical equation of the sub-unit plate structures are obtained through integration; a Cartesian coordinate system, where one of sub-units is located, is selected to serve as a global coordinate system, the dynamic stiffness matrix is converted to be under the global coordinate system, and then matrix assembling is performed to obtain an integral dynamic control equation of the structures; and the integral dynamic control equation ofthe structures is solved to obtain a forced vibration response of the three-dimensional coupled structure. Through the method, the forced vibration problem of a three-dimensional coupled shell with any classic boundary and any coupling angle can be solved.

Description

technical field [0001] The invention relates to a three-dimensional coupled structural vibration analysis method applied in the fields of engineering mechanics and vibration engineering. Background technique [0002] Three-dimensional coupling structures are widely used in engineering equipment such as ships, marine engineering, and mechanical engineering. Usually, their working environment is intricate and vulnerable to various random excitations and shocks, which can induce adverse vibrations, which in turn affect the normal operation and safe production of equipment. Therefore, the study of the forced vibration characteristics of such structures has very important guiding significance for the design of vibration and noise reduction in the early stage of equipment. [0003] At present, as a mature numerical calculation method, the finite element method is widely used in the prediction of acoustic-vibration characteristics of practical engineering equipment. However, finit...

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Problems solved by technology

[0002] Three-dimensional coupling structures are widely used in engineering equipment such as ships, marine engineering, and mechanical engineering. Usually, their working environment is intricate and vulnerable to various random excitations and shocks, which can induce adverse vibrations, which in turn affect the normal operation and safe production of equipment.

[0004] At present, there is no relevant literature report on the calculation of the vibration of coupled structures by the three-dimensional coupled structural vibration analysis method based on the dynamic stiffness method.

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