Non-linear structural parameter identification using instantaneous power flow balance approach. Issue 5 (4th May 2021)

• Record Type: Journal Article
• Authors: Anish, R.; Shankar, K.
• Is Part Of: Inverse problems in science and engineering. Volume 29:Issue 5(2021)
• Page Start: 636
• Page End: 662
• Publication Date: 2021-05-04
• Subjects: Parameter identification -- substructure analysis -- inverse problem -- instantaneous power flow -- particle swarm optimization; 37N30 -- 78M50 -- 74H45; Engineering mathematics -- Periodicals; Inverse problems (Differential equations) -- Periodicals; 620.001515357
• DOI: 10.1080/17415977.2020.1800685
• Languages: English
• ISSNs: 1741-5977

Abstract

ABSTRACT: In this paper, a non-linear parameter identification method for structures is presented, whereby the instantaneous power flow balance of the substructure of interest is enforced. The time-domain power flow into the non-linear substructure is balanced against the power transmitted to adjacent structures, damping and kinetic and strain energies. Enforcing this condition of matching the net power balance to zero, a numerical model is iteratively updated as an inverse problem. Here, the identification is carried out using a non-classical optimization search tool, particle swarm optimization algorithm. A cubic non-linearity in spring and a quadratic non-linearity in damper are modelled for non-linear parameter estimation using power flow concept and is a preliminary stage of non-linear joint parameter identification. Important numerical simulations are presented in this paper, which cover different load cases, measurement points and different combination of non-linearities under noise-free and noisy conditions. The identified results show significant improvements in non-linear identification accuracy compared to previous literature related to non-linear identification.