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Learn about backbone curve, a dependency between a natural frequency and a displacement amplitude of a nonlinear system. Find chapters and articles on backbone curve applications in engineering, such as concrete-encased steel shear walls, passive vibration isolators, and seismic resilience.
The definition by Nayfeh & Mook and Cveticanin et al. of the backbone curve as the curve connecting points of maximal response amplitude as a function of an external forcing frequency, defines a relevant and experimentally observable curve.
21 de jul. de 2015 · Backbone curves can offer valuable insight into the behaviour of nonlinear systems along with significant information about any coupling between the underlying linear modes in their response.
27 de mar. de 2019 · Inelastic behavior may be characterized by a force-deformation (F-D) relationship, also known as a backbone curve, which measures strength against translational or rotational deformation.
1 de dic. de 2023 · Backbone curve: The backbone curve, also known as the envelope curve, is a fundamental part of the polynomial hysteresis model. Experimental data from test specimens subjected to different loads are plotted in a dimensionless coordinate system, typically displacement ( x ) versus restoring force (load) ( f s ).
This work presents a novel method for the identification of nonlinear structures. The method is based on estimating backbone curves and the relation between backbone curves and the response of the system in the frequency domain.
The evolution of the system's backbone curves is investigated in nonlinear parameter space. It is found that this space can be divided into several regions, within which the backbone curves share similar topological features, defining the conditions for the existence of isolated backbone curves.
