General Framework for Dynamic Substructuring: History, Review and Classification of Techniques

Klerk, D. de; Rixen, Daniel J.; Voormeeren, S. N.

doi:10.2514/1.33274

Cited by 672 publications

(367 citation statements)

References 47 publications

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“…which has exactly the same form as the well-known Lagrange Multiplier FBS formula [5] but now for the virtual point dynamics. Indeed H(ω) comprises the virtual point receptance relating the virtual point forces m(ω) to virtual point displacements q(ω).…”

Section: Dynamic Substructuring With Virtual Point Dofsmentioning

confidence: 98%

“…The total forces f tot are typically a combination of external loads f and interface forces g. Let us for now imagine that the interface nodes of the two substructures coincide perfectly, such that the compatibility condition can be stated by equating the translational DoFs of the two substructure boundaries u A b = u B b or Bu = 0, using the signed boolean matrix notation (see [5]). The following coupled system of equations is then obtained:…”

Section: Dynamic Substructuring With Weakened Interface Conditionsmentioning

confidence: 99%

“…For a typical problem having 3 sensors per virtual point and sorted in ascending virtual point order, the R kv matrices can be stacked to form the following equations 5 :…”

Section: Displacementsmentioning

confidence: 99%

“…Although the substructuring techniques themselves are formulated in a rather straightforward way (see for instance [5]), the largest challenges exist in the coupling of the measured components. To couple substructures properly, one requires a complete and accurate model of the dynamics at the interface for both translational and rotational degrees of freedom [8,12,13].…”

Section: Introductionmentioning

confidence: 99%

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An Improved Methodology for the Virtual Point Transformation of Measured Frequency Response Functions in Dynamic Substructuring

Seijs¹,

Bosch²,

Rixen³

et al. 2014

Proceedings of the 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. Dynamic Substructuring methods play a significant role in the analysis of todays complex systems. Crucial in Dynamic Substructuring is the correct definition of the interfaces of the subsystems and the connectivity between them. Although this is straightforward practice for numerical finite element models, the experimental equivalent remains challenging. One of the issues is the coupling of the rotations at the interface points that cannot be measured directly. This work presents a further extension of the virtual point transformation that is based on the Equivalent Multi-Point Connection (EMPC) method and Interface Deformation Mode (IDM) filtering. The Dynamics Substructuring equations are derived for the weakened interface problem. Different ways to minimise the residuals caused by the IDM filtering will be introduced, resulting in a controllable weighting of measured Frequency Response Functions (FRFs). Also some practical issues are discussed related to the measurement preparation and post-processing. Special attention is given to sensor and impact positioning. New coherencelike indicators are introduced to quantify the consistency of the transformation procedures: sensor consistency, impact consistency and reciprocity.4334

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Section: Dynamic Substructuring With Virtual Point Dofsmentioning

confidence: 98%

Section: Dynamic Substructuring With Weakened Interface Conditionsmentioning

confidence: 99%

“…For a typical problem having 3 sensors per virtual point and sorted in ascending virtual point order, the R kv matrices can be stacked to form the following equations 5 :…”

Section: Displacementsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Improved Methodology for the Virtual Point Transformation of Measured Frequency Response Functions in Dynamic Substructuring

Seijs¹,

Bosch²,

Rixen³

et al. 2014

Proceedings of the 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

Self Cite

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show abstract

“…A structural system may be often formulated as an assembly of distinct linear and nonlinear substructures [1]. For instance, a vehicle structure consists of the body frame, which is designed to behave linearly, and the four suspension-wheel substructures, which typically exhibit nonlinear behavior and are subjected to external excitation.…”

Section: Introductionmentioning

confidence: 99%

Model Updating of a Nonlinear Experimental Vehicle Using Substructuring and Unscented Kalman Filtering

Tsotalou¹,

Giagopoulos²,

Dertimanis³

et al. 2017

Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECO

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17.04: Design of offshore wind turbine jacket foundations: On the influence of subsequent modifications on fatigue performance

2017

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The design of jacket foundations for offshore wind turbine typically relies on design loads from an integrated aero-elastic model of the full turbine structure and a reduced (superelement) representation of the foundation. In this paper the influence of introducing subsequent design changes to the foundation that potentially invalidate the design loads is studied based on a generic jacket foundation subject to combined wind and wave loading. The fatigue performance is considered for the reference case as well as a number of structurally modified configurations covering changes in braces, legs, soil conditions and footprint. The modified jackets are examined for both inconsistent design loads based on the reference geometry and updated loads associated with a consistent, aero-elastic load iteration with the updated geometry and/or soil conditions. Ratios between the fatigue lives based on the inconsistent and the updated forces are presented, indicating whether an additional load iteration is essential or not. By having an overall understanding of allowable structural modifications a foundation designer is able to provide a more efficient jacket design by independently optimizing the structure in the post-processing stage.It is shown that the subsequent jacket modifications may significantly affect the quality of the fatigue results. Some modifications, especially the ones associated with the boundary conditions, e.g. soil modifications significantly modify the global dynamic behaviour, thus indisputably require an additional aero-elastic load iteration. On the other hand, modifications resulting solely in local changes such as minor brace or leg size modifications, especially when increasing the stiffness, may be allowed in the post-processing phase without committing a significant error.

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General Framework for Dynamic Substructuring: History, Review and Classification of Techniques

Cited by 672 publications

References 47 publications

An Improved Methodology for the Virtual Point Transformation of Measured Frequency Response Functions in Dynamic Substructuring

An Improved Methodology for the Virtual Point Transformation of Measured Frequency Response Functions in Dynamic Substructuring

Model Updating of a Nonlinear Experimental Vehicle Using Substructuring and Unscented Kalman Filtering

17.04: Design of offshore wind turbine jacket foundations: On the influence of subsequent modifications on fatigue performance

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