The invention relates to the field of
structural health monitoring, particularly discloses a
phased array plane deformation high-precision inversion method combining
modal extension and an inverse
finite element method, and aims to solve the problem that the traditional inverse
finite element method is insufficient in
displacement field inversion precision under the condition of sparse
strain sensor layout. The method comprises the following steps of: firstly, constructing an
experimental model and a
simulation model, and respectively extracting displacement and strain
modal data of a plurality of orders before the
experimental model and the
simulation model; secondly, a typical deformation working condition is applied to the
experimental model, and sparse strain data are collected; then, expanding the sparse strain field into a full strain field by using a
modal expansion technology; then, inputting the expanded full-field strain field into an inverse
finite element algorithm, and carrying out inversion to obtain full-field displacement distribution of the structure; and finally, verifying the effectiveness of the method by comparing the inversion displacement with the real displacement. According to the method, the problem of
information loss of sparse strain data is effectively solved through the modal extension technology, and the displacement inversion precision of the inverse
finite element method under the sparse measurement condition is remarkably improved. Experimental results show that the method can improve the array plane inversion precision of the
phased array from 30%-40% of a traditional method to more than 90%, and can meet the requirements of the
phased array antenna for array plane deformation high-precision
perception and
electrical performance compensation in actual
engineering.