TY - JOUR

T1 - Finite element model updating using deterministic optimisation

T2 - A global pattern search approach

AU - Hofmeister, Benedikt

AU - Bruns, Marlene

AU - Rolfes, Raimund

N1 - Funding Information: We greatly acknowledge the financial support of the German Federal Ministry for Economic Affairs and Energy (research projects Deutsche Forschungsplattform für Windenergie, FKZ 0325936E and Multivariates Schadensmonitoring von Rotorblättern, FKZ 0324157A) that enabled this work.

PY - 2019/9/15

Y1 - 2019/9/15

N2 - With this work, we present a novel derivative-free global optimisation approach for finite element model updating. The aim is to localise structural damage in a wind turbine rotor blade. For this purpose, we create a reference finite element model of the blade as well as a model with a fictitious damage. To validate the approach, we use a model updating scheme to locate the artificially induced damage. This scheme employs numerical optimisation using the parameterised finite element model and an objective function based on modal parameters. Metaheuristic algorithms are the predominant class of optimisers for global optimisation problems. With this work, we show that deterministic approaches are competitive for engineering problems such as model updating. The proposed optimisation algorithm is deterministic and a generalisation of the pattern search algorithm. It picks up features known from local deterministic algorithms and transfers them to a global algorithm. We demonstrate the convergence, discuss the numerical performance of the proposed optimiser with respect to several analytical test problems and propose a possible trade-off between parallelisation and convergence rate. Additionally, we compare the numerical performance of the proposed deterministic algorithm concerning the model updating problem to the performance of well-established metaheuristic and local optimisation algorithms. The introduced algorithm converges quickly on test functions as well as on the model updating problem. In some cases, the deterministic algorithm outperforms metaheuristic algorithms. We conclude that deterministic optimisation algorithms should receive more attention in the field of engineering optimisation.

AB - With this work, we present a novel derivative-free global optimisation approach for finite element model updating. The aim is to localise structural damage in a wind turbine rotor blade. For this purpose, we create a reference finite element model of the blade as well as a model with a fictitious damage. To validate the approach, we use a model updating scheme to locate the artificially induced damage. This scheme employs numerical optimisation using the parameterised finite element model and an objective function based on modal parameters. Metaheuristic algorithms are the predominant class of optimisers for global optimisation problems. With this work, we show that deterministic approaches are competitive for engineering problems such as model updating. The proposed optimisation algorithm is deterministic and a generalisation of the pattern search algorithm. It picks up features known from local deterministic algorithms and transfers them to a global algorithm. We demonstrate the convergence, discuss the numerical performance of the proposed optimiser with respect to several analytical test problems and propose a possible trade-off between parallelisation and convergence rate. Additionally, we compare the numerical performance of the proposed deterministic algorithm concerning the model updating problem to the performance of well-established metaheuristic and local optimisation algorithms. The introduced algorithm converges quickly on test functions as well as on the model updating problem. In some cases, the deterministic algorithm outperforms metaheuristic algorithms. We conclude that deterministic optimisation algorithms should receive more attention in the field of engineering optimisation.

KW - Derivative-free methods

KW - Deterministic optimisation

KW - Finite element method

KW - Model updating

KW - Rotor blades

KW - Wind turbine

UR - http://www.scopus.com/inward/record.url?scp=85067008414&partnerID=8YFLogxK

U2 - 10.1016/j.engstruct.2019.05.047

DO - 10.1016/j.engstruct.2019.05.047

M3 - Article

VL - 195

SP - 373

EP - 381

JO - Engineering structures

JF - Engineering structures

SN - 0141-0296

ER -