A composite experimental dynamic substructuring method based on partitioned algorithms and localized Lagrange multipliers. (1st February 2018)

• Record Type: Journal Article
• Authors: Abbiati, Giuseppe; La Salandra, Vincenzo; Bursi, Oreste S.; Caracoglia, Luca
• Is Part Of: Mechanical systems and signal processing. Volume 100(2018)
• Page Start: 85
• Page End: 112
• Publication Date: 2018-02-01
• Subjects: Online/offline substructuring methods -- Composite experimental dynamic substructuring -- Partitioned algorithms -- Localized Lagrange multipliers -- Uncertainty propagation; Structural dynamics -- Periodicals; Vibration -- Periodicals; Constructions -- Dynamique -- Périodiques; Vibration -- Périodiques; Structural dynamics; Vibration; Periodicals; 621
• DOI: 10.1016/j.ymssp.2017.07.020
• Languages: English
• ISSNs: 0888-3270

Abstract

Highlights: Presentation of main heterogeneous (numerical/physical) online/offline dynamic substructuring simulation methods. Presentation of stable parallel and staggered partitioned coupling algorithms. Statistical characterization of errors due to both operators and sensors. Comparison of the performances of heterogeneous substructuring methods in terms of error statistics. Use of their exploitation in a complementary way to speed up the overall simulation. Abstract: Successful online hybrid (numerical/physical) dynamic substructuring simulations have shown their potential in enabling realistic dynamic analysis of almost any type of non-linear structural system (e.g., an as-built/isolated viaduct, a petrochemical piping system subjected to non-stationary seismic loading, etc.). Moreover, owing to faster and more accurate testing equipment, a number of different offline experimental substructuring methods, operating both in time (e.g. the impulse-based substructuring) and frequency domains (i.e. the Lagrange multiplier frequency-based substructuring), have been employed in mechanical engineering to examine dynamic substructure coupling. Numerous studies have dealt with the above-mentioned methods and with consequent uncertainty propagation issues, either associated with experimental errors or modelling assumptions. Nonetheless, a limited number of publications have systematically cross-examined the performance of the various Experimental Dynamic Substructuring (EDS) methods and the possibility of their exploitation in a complementary way to expedite a hybrid experiment/numerical simulation. From this perspective, this paper performs a comparative uncertainty propagation analysis of three EDS algorithms for coupling physical and numerical subdomains with a dual assembly approach based on localized Lagrange multipliers. The main results and comparisons are based on a series of Monte Carlo simulations carried out on a five-DoF linear/non-linear chain-like systems that include typical aleatoric uncertainties emerging from measurement errors and excitation loads. In addition, we propose a new Composite-EDS (C-EDS) method to fuse both online and offline algorithms into a unique simulator. Capitalizing from the results of a more complex case study composed of a coupled isolated tank-piping system, we provide a feasible way to employ the C-EDS method when nonlinearities and multi-point constraints are present in the emulated system.