A Critical Review of Nonlinear Damping Identification in Structural Dynamics: Methods, Applications, and Challenges

Abstract

In recent decades, nonlinear damping identification (NDI) in structural dynamics has attracted wide research interests and intensive studies. Different NDI strategies, from conventional to more advanced, have been developed for a variety of structural types. With apparent advantages over classical linear methods, these strategies are able to quantify the nonlinear damping characteristics, providing powerful tools for the analysis and design of complex engineering structures. Since the current trend in many applications tends to more advanced and sophisticated applications, it is of great necessity to work on developing these methods to keep pace with this progress. Moreover, NDI can provide an effective and promising tool for structural damage detection purposes, where the changes in the dynamic features of structures can be correlated with damage levels. This review paper provides an overview of NDI methods by explaining the fundamental challenges and potentials of these methods based on the available literature. Furthermore, this research offers a comprehensive survey of different applications and future research trends of NDI. For potential development and application work for nonlinear damping methods, the anticipated results and recommendations of the current paper can assist researchers and developers worldwide to find out the gaps and unsolved issues in the field of NDI.

Frequency Contour-Strip Method for Characterization of Damage in Structures under Noisy Conditions

“…From the perspective of forward problem, an eigen-frequency panorama comprehensively depicts the effect of all possible crack scenarios on the dynamic property of a beam. For an arbitrary crack at the point (x, y), the associated eigen-frequencies can be specified from the eigen-frequency panorama arising from Equation (8).…”

“…Case 1 is related to a crack, x = 3.3% and y = 10% in the cantilever beam (Figure 11b). Equation (8) with the parameters specified with the specification values in Table 2 forms the analytical model for characterizing the transverse vibration of the cracked cantilever beam. A comprehensive model calibration procedure is carried out for the experimentally measured eigen-frequencies considering all possible crack cases (not only Case 1), giving valid parameter values instead of specification parameter values to form an updated analytical model.…”

“…Damage in a structure, e.g., a crack, induces local flexibility [1] that further alters structural dynamic characteristics [2][3][4][5][6][7], typically structural modal parameters including eigenfrequency, mode shape, and damping [8]. On this basis, the alteration of modal parameters forms the philosophy of vibration-based damage identification in structures [9][10][11][12][13].…”

Modeling the Dynamics of a Gyroscopic Rigid Rotor with Linear and Nonlinear Damping and Nonlinear Stiffness of the Elastic Support

“…The review paper [37] provides an overview of NDI methods, explaining the fundamental problems and possibilities of these methods based on the available literature. In addition, this study offers a comprehensive overview of the various applications and future directions of NDI research.…”

Influence of Material-Dependent Damping on Brake Squeal in a Specific Disc Brake System

“…Some uncertain guesses are required to set the proper damping properties of computational models. Systems such as disc brake exhibit very close eigenfrequencies, and proper system identification tools for damping estimation should be chosen [25].…”