Nonlinear dynamic characterization of a new hysteretic device: experiments and computations

• Published in: Nonlinear dynamics Vol. 83; no. 1-2; pp. 23 - 39
• Main Authors: Carboni, Biagio, Lacarbonara, Walter
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.01.2016; Springer Nature B.V
• Subjects: Amplitudes; Automotive Engineering; Behavior; Classical Mechanics; Computation; Control; Damping ratio; Devices; Dynamical Systems; Engineering; Flexing; Frequency response; Hardening; Hysteresis; Mechanical Engineering; Nickel base alloys; Nickel titanides; Nonlinear dynamics; Nonlinearity; Original Paper; Oscillators; Phase transitions; Rheological properties; Shake table tests; Shape memory alloys; Softening; Stability analysis; Vibration; Wire rope; Nonlinear oscillator; Shape memory material; Nonlinear rheological device; NiTiNOL wire ropes; Pinched hysteresis
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-015-2305-9

The nonlinear dynamical behavior of the hysteretic rheological device proposed in Carboni et al. (J Eng Mech 2014 ) is investigated. The device can provide nonlinear hysteretic forces to a one-degree-of-freedom (one-dof) mass through suitable assemblies of NiTiNOL and steel wire ropes subject to tension–flexure cycles. The simultaneous occurrence of interwire friction, phase transformations and geometric nonlinearities is the key feature of the obtained material behavior. Frequency-response curves (FRCs) of the system subject to base excitation are obtained numerically via a continuation procedure together with stability analysis and experimentally by carrying out shaking table tests, respectively. The phenomenological identification of the material behaviors through force–displacement cycles, reported in Carboni et al. (J Eng Mech 2014 ), is employed for the computation of the FRCs and the equivalent damping ratios as function of the displacement amplitude. The different restoring forces give rise to whole new families of nonlinear hysteretic oscillators governed by softening, hardening and softening–hardening behaviors depending on the oscillation amplitude.