Analogue simulation method for electromagnetic elastic coupling of layering shell made of electromagnetic materials

Abstract

The invention provides an analogue simulation method for electromagnetic elastic coupling of a layering shell made of electromagnetic materials. A three-dimensional energy equation including the electricity-magnetism-elastic coupling effect is established based on the Hamilton extension principle; three-dimensional energy is asymptotically extended into serial two-dimensional recursion energy based on the variation asymptotic method, a leading variation item in the two-dimensional recursion energy is corrected asymptotically through inherent small parameters of the shell, and therefore a correction model close to the original three-dimensional energy as much as possible is obtained and is converted into the Reissner-Mindlin model form commonly used in the engineering; a three-dimensional variation reconstruction relation is inferred based on the obtained two-dimensional overall response and all levels of warping functions. The apriority hypothesis is not needed in the model, the structural electromagnetic elastic coupling performance under the function of various fields can be accurately predicted, the calculated amount is small, calculating efficiency is higher than that of the high-order set theory and the three-dimensional finite element solution, and the number of resources occupied in a computer is small.

Description

technical field [0001] The invention relates to the field of analysis of mechanical properties of materials, in particular to a simulation model of electromagnetic-elastic coupling performance of layered shells of electromagnetic materials based on variational asymptotic method, which can effectively predict the electric-magnetic-elastic coupling performance of structures under the action of multiple fields . Background technique [0002] The smart composite material composed of piezoelectric and piezoelectric phases can produce magnetoelectric coupling effects that single-phase piezoelectric and piezoelectric materials do not have. Utilizing this feature, the shortcomings of small bandwidth and small actuation of piezoelectric and piezoelectric single-phase materials can be improved, so they are widely used in aviation, automobiles, electronics, civil engineering, medicine and other fields. [0003] Van Suchtelen proposed in 1972 that the combination of piezoelectricity an...

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Problems solved by technology

[0004] From the above analysis, it can be seen that for the analysis of intelligent structures composed of electromagnetic materials, multidisciplinary knowledge such as mathematics, mechanics, electricity and electromagnetism is required, and due to the complexity of the coupling between electricity, magnetism and elastic media, it is difficult to solve the problem. Great difficulties have come, although some beneficial work has been done, there are still many aspects that need to be further improved

For example, most of the existing literatures assume linear or high-order displacements and electric and magnetic potential distributions in simplified models, ignoring or partially ignoring the non-uniformity of local deformation, so they cannot reflect the local stress and local stress at the junction of electromagnetic devices and structures. electricity, magnetic field

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