Method for analyzing piezoelectric elasticity of piezoelectric composite laminated shell

Abstract

The invention provides a method for analyzing piezoelectric elasticity of a piezoelectric composite laminated shell. The method comprises the following steps: according to a rotation tensor decomposing concept, establishing a three-dimensional shell analyzing model of the piezoelectric composite laminated shell; on the basis of a variational asymptotic method, decomposing the three-dimensional shell analyzing model into an asymptotically corrective two-dimensional shell surface model and one-dimensional warping function analysis in the normal direction of a shell reference surface, performing approximate energy derivation and Reissner-MindLin formal transformation on the asymptotically corrective shell surface model, inputting a Reissner-MindLin model as a solver into two-dimensional shell analysis of a computer, remodeling a three-dimensional strain field of the piezoelectric composite laminated shell in the thickness direction through two-dimensional shell overall response obtained from the two-dimensional shell analysis and a warping function, and analyzing the piezoelectric elasticity of the piezoelectric composite laminated shell. In the method, any dynamic assumption is not required, so that the computation process is greatly simplified, the calculated amount is small, and few computer resources are occupied.

Description

technical field [0001] The invention relates to the field of analysis of mechanical properties of materials, in particular to a method for analyzing the piezoelectric elasticity of piezoelectric composite material laminated shells. Background technique [0002] In recent years, smart structures have attracted more and more attention because of their high strength, high stiffness, light weight, and vibration attenuation. Among many smart materials used in actuators and sensors (such as shape memory alloys, magnetorheological materials, piezoelectric materials, etc.), piezoelectric materials have received the most attention because: (1) they can directly connect electronic signals with Strain is correlated, and vice versa, therefore, it can integrate driving and sensing; (2) It has a wide frequency response range and is suitable for various real-time control and monitoring. And in many cases, combining piezoelectric materials with specific anisotropic materials can maximize t...

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Problems solved by technology

[0005] Aiming at the above-mentioned deficiencies in the prior art, the present invention provides a method for analyzing the piezoelectric elasticity of piezoelectric composite laminated shells with a small amount of calculation, takes up less computer resources, and has high efficiency, so as to solve the problem of piezoelectricity in the prior art. The analysis method of piezoelectric elastic analysis of composite laminated shells has low analysis efficiency and poor accuracy, especially the problem that the stress distribution along the thickness direction cannot be accurately predicted.

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