Past, present and future of nonlinear system identification in structural dynamics

Four decades after the development of the first dynamic substructuring techniques, there is a necessity to classify the different methods in a general framework that outlines the relations between them. In this paper, a certain vision on substructuring methods is proposed, by recalling important historical milestones that allow us to understand substructuring as a domain decomposition concept. Thereafter, based on the dual and primal assembly of substructures, a general framework for the classification of the methods is presented. This framework allows us to indicate how the various classes of methods, proposed along the years, can be derived from a clear mathematical description of substructured problems. Current bottlenecks in experimental dynamic substructuring, as well as solutions found in literature, will also be briefly discussed.

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

Non-linear dynamics of a spur gear pair

Chatter suppression techniques in metal cutting

Dynamic simulation of spur gear with tooth root crack propagating along tooth width and crack depth

Mathematical models used in gear dynamics—A review

Dynamic analysis of high speed gears by using loaded static transmission error

A finite element model of a geared rotor system on flexible bearings has been developed. The model includes the rotary inertia of on shaft elements, the axial loading on shafts, flexibility and damping of bearings, material damping of shafts and the stiffness and the damping of gear mesh. The coupling between the torsional and transverse vibrations of gears were considered in the model. A constant mesh stiffness was assumed. The analysis procedure can be used for forced vibration analysis geared rotors by calculating the critical speeds and determining the response of any point on the shafts to mass unbalances, geometric eccentricities of gears, and displacement transmission error excitation at the mesh point. The dynamic mesh forces due to these excitations can also be calculated. The model has been applied to several systems for the demonstration of its accuracy and for studying the effect of bearing compliances on system dynamics.

https://ntrs.nasa.gov/api/citations/20150021002/downloads/20150021002.pdf

H. Nevzat Özgüven

Papers

Mathematical models used in gear dynamics—A review

Dynamic analysis of high speed gears by using loaded static transmission error

Dynamic analysis of geared rotors by finite elements

Prediction of workpiece dynamics and its effects on chatter stability in milling

Structural modifications using frequency response functions