In standard design practice, it is often necessary to assemble engineered structures from individually manufactured parts. Ideally, the assembled system should perform as if the connections between the components were perfect, that is, as if the system were a single monolithic piece. However, the fasteners used in those connections, such as mechanical lap joints, are imperfect and highly nonlinear. In particular, these jointed connections dissipate energy, often through friction over highly localized microscale regions near connection points, and are known to exhibit history dependent, or hysteretic behavior. As a result, while mechanical joints are one of the most common elements in structural dynamics problems, their presence implies that assembled structural systems are difficult to model and analyze. Through rigorous experimental, analytical, and numerical work over the past century, researchers from several different disciplines have developed numerous damping models that give rise to the dynamical behavior attributed to joints. The present work seeks to review, compare, and contrast several linear and nonlinear damping models that are known to be relevant to modeling assembled structural systems. These models are presented and categorized to place them in the proper historical and mathematical context as well as presenting numerous examples of their applications. General properties of hysteretic friction damping models are also studied and compared analytically. Connections are drawn between the different models so as to not only identify differences between models, but also highlight commonalities not normally seen to be in association.

A Review of Damping Models for Structures With Mechanical Joints1

https://cronfa.swan.ac.uk/Record/cronfa55840/Download/55840__18901__77a49f1e2e3e44a8beddf71b37ba5627.pdf

An equivalent model of a nonlinear bolted flange joint

A fretting test apparatus for measuring friction hysteresis of bolted joints

Propagation of friction parameter uncertainties in the nonlinear dynamic response of turbine blades with underplatform dampers

Experimental and Theoretical Studies on Friction Contact of Bolted Joint Interfaces

A novel test rig to investigate under-platform damper dynamics

Several experimental apparatus have been designed in the past to evaluate the effectiveness of under-platform dampers. Most of these experimental setups allow to measure the overall damper efficiency in terms of reduction of vibration amplitude in turbine blades. The experimental data collected with these test rigs do not increase the knowledge about the damper dynamics and therefore the uncertainty on the damper behavior remains a big issue. In this paper a different approach to evaluate the damper-blade interaction has been put forward. A test rig has been purposely designed to accommodate a single blade and two under-platform dampers. One side of each damper is in contact with a ground support specifically designed to measure two independent forces on the damper. In this way both the normal and the tangential force components in the damper-blade contact can be inferred. Damper kinematics is rebuilt by using the relative displacement measured between damper and blade. This paper describes the concept behind the new approach, shows the details of the new test rig and discuss the blade frequency response from a new point of view.

An Experimental Investigation of the Dynamic of a Blade With Two Under-Platform Dampers

Measurement of contact parameters on under-platform dampers coupled with blade dynamics

Among the different devices used in the aerospace industries under-platform dampers are widely used in turbo engines to mitigate the blade vibration. Nevertheless, the damper behaviour is not easy to simulate and engineers have been working in order to improve the accuracy with which theoretical contact models predict the damper behaviour. Majority of the experimental setups collect experimental data in terms of blade amplitude reduction which do not increase the knowledge about the damper dynamics and therefore the uncertainty on the damper behaviour remains a big issue. In this paper, a novel test rig has been purposely designed to accommodate a single blade and two under-platform dampers to deeply investigate the damper-blade interactions. In this test bench, a contact force measuring system was designed to extensively measure the damper contact forces. Damper kinematics is rebuilt by using the relative displacement measured between damper and blade. This paper describes the concept behind the new approach, shows the details of new test rig and discusses experimental results by comparing with previously measured results on an old experimental setup.

https://iopscience.iop.org/article/10.1088/1757-899X/302/1/012016/pdf

Experimental Study of under-platform Damper Kinematics in Presence of Blade Dynamics

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Papers

A novel test rig to investigate under-platform damper dynamics

An Experimental Investigation of the Dynamic of a Blade With Two Under-Platform Dampers

Measurement of contact parameters on under-platform dampers coupled with blade dynamics

Experimental Study of under-platform Damper Kinematics in Presence of Blade Dynamics