TY - JOUR

T1 - Identification of several non-stationary loads applied to an elastically deformed structure

AU - Lachmayer, R.

AU - Yanchevskyi, I.

AU - Mozgova, I.

AU - Gottwald, P.

N1 - Funding information: The results presented in this paper were obtained within the Collaborative Research Centre 653 “Gentelligent Components in their Lifecycle”, Subproject N4. The authors would like to thank the German Research Foundation (DFG) for its financial and organizational support.

PY - 2018

Y1 - 2018

N2 - The technique has been presented for time-dependence identification of several independent beetwen each other loads distributed over a given area of a structure with arbitrary topology by using quantity values more convenient for measurements. In the assumption that the structure’s response linearly depends on the loads, the considered problem, which belongs to the class of boundary inverse problems in the mechanics of solids, is reduced to a system of linear algebraic equations for coefficients that approximate the sought-for influences. The system is solved using a regularizing algorithm providing stability of results to random errors in initial data and calculation errors. Concrete calculations, substantiating the efficiency of the presented technique, have been performed as with theoretical data to identify two non-stationary loads applied to a wheel carrier of a race car as with experimental data to restore an impact force applied to a round plate with fixed boundary. To calculate values of a system’s elements corresponding to values of measured quantities under unit loads, the finite element method was used. The suggested technique can be used for designing structures with complex geometry based on criterias of their dynamic (fatigue) strength, etc.

AB - The technique has been presented for time-dependence identification of several independent beetwen each other loads distributed over a given area of a structure with arbitrary topology by using quantity values more convenient for measurements. In the assumption that the structure’s response linearly depends on the loads, the considered problem, which belongs to the class of boundary inverse problems in the mechanics of solids, is reduced to a system of linear algebraic equations for coefficients that approximate the sought-for influences. The system is solved using a regularizing algorithm providing stability of results to random errors in initial data and calculation errors. Concrete calculations, substantiating the efficiency of the presented technique, have been performed as with theoretical data to identify two non-stationary loads applied to a wheel carrier of a race car as with experimental data to restore an impact force applied to a round plate with fixed boundary. To calculate values of a system’s elements corresponding to values of measured quantities under unit loads, the finite element method was used. The suggested technique can be used for designing structures with complex geometry based on criterias of their dynamic (fatigue) strength, etc.

KW - Dependence on time

KW - FEM

KW - Identification of several loads

KW - Influence function

KW - Regularization

KW - Structure with arbitrary topology

UR - http://www.scopus.com/inward/record.url?scp=85055130009&partnerID=8YFLogxK

U2 - 10.24132/acm.2018.365

DO - 10.24132/acm.2018.365

M3 - Article

AN - SCOPUS:85055130009

VL - 12

SP - 17

EP - 32

JO - Applied and Computational Mechanics

JF - Applied and Computational Mechanics

SN - 1802-680X

ER -