Open AccessParameter inversion of cantilever beam based on polynomial model
Author(s) -
Yang Song,
Wei Xing,
Jing Ye
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1324/1/012051
Subject(s) - cantilever , inversion (geology) , polynomial , solver , mathematics , mathematical optimization , gauss , iterative and incremental development , mathematical analysis , computer science , physics , structural engineering , engineering , paleontology , software engineering , structural basin , quantum mechanics , biology
Inverse problem is a kind of problem that “effects” are used to get the “causes”. It has broad application prospects in the field of applied mathematics and physics. The paper makes an inversion analysis based on a cantilever beam via polynomial model. An iterative formula is deduced based on Gauss-Newton method to tackle inherent parameter of cantilever beam. In the process of inversing, direct problem is solved for many times. The polynomial model is constructed and taken as a direct problem solver. The method proposed in this paper can make parameter inversion of cantilever beam with variable Young’s modulus. The result shows that the method has good stability. It can give some guidance for engineers to solve other inversion problem in engineering.