Nonlinear dynamic analysis of hysteretic mechanical systems by combining a novel rate-independent model and an explicit time integration method

Vaiana, Nicolò; Sessa, Salvatore; Marmo, Francesco; Rosati, Luciano

doi:10.1007/s11071-019-05022-5

Cited by 81 publications

(36 citation statements)

References 39 publications

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“…Specifically, the spring supports were modeled as linear elastic elements. However, the actual behavior of these devices is typically nonlinear and there are more sophisticated methods that are generally utilized to simulate their responses [23][24][25]. We will use these methods in future research.…”

Section: Discussionmentioning

confidence: 99%

Inherent characteristic analysis of a precast concrete vibrating table based on the Rayleigh-Ritz method

Cai¹,

Yang²

2020

J. vibroeng.

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To assess a precast concrete vibrating table, a system mechanics model was established by using the transverse vibration theory of thin plates. The model was then simplified as a stiffened plate structure according to the structural characteristics of a vibration platen. Specifically, the vibration mode functions of the vibration platen were established by utilizing a two-dimensional beam function method in which the maximum kinetic energy and maximum strain energy of the vibration platen were derived. Additionally, the Rayleigh-Ritz method based on the displacement variation principle was utilized to analyze the natural frequency and mode shapes of the vibration platen. A comparison between the theoretical calculation results and the finite element simulation results indicated that the established vibration mode functions can appropriately reflect the mechanical behavior of the vibration platen, which verified the correctness of the analysis method for the inherent characteristic of the vibration platen and provided a preliminarily theoretical basis for the performance improvement of a precast concrete vibrating table.

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Section: Discussionmentioning

confidence: 99%

Inherent characteristic analysis of a precast concrete vibrating table based on the Rayleigh-Ritz method

Cai¹,

Yang²

2020

J. vibroeng.

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“…29The value of A 0 can be determined using Eq. (24). The response estimated using A 0 alone, that is without A 1 , is found to be not correct in the low frequencies.…”

Section: First Order Approximation Of Responsementioning

confidence: 91%

“…al. [22][23][24] developed several models that provide significant computational advantages while representing the hysteresis behavior.…”

Section: Introductionmentioning

confidence: 99%

Response of Duffing's Oscillator to Harmonic Base Excitation and Significance of First Order Term

Divya¹,

Renji²

2020

The International Journal of Acoustics and Vibration

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Responses of systems with nonlinear stiffness subjected to base harmonic excitation are determined. An expression to estimate the amplitude in the fundamental frequency of oscillation is derived from first principles using Lindstedt's method. It is observed that the amplitude determined using the zero order approximation is in error at low frequencies. Therefore, an expression for the first order approximation of the amplitude of response at the fundamental frequency is derived. Zero order and first order approximation terms together form the response. Characteristics showing the variation of the amplitude with the excitation frequency for various nonlinear spring parameters are presented. The issue at low frequencies is resolved by the incorporation of the first order term. An expression for the phase difference and the expression of the asymptote where the responses converge are also derived.

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“…Such a family, formulated by Vaiana et al, is found to be advantageous when compared to other models due to its reduced computational effort. Indeed, this class of models leads to a solution of scalar equations for evaluating the bearing restoring force [28][29][30][31]. A comparative study of these different type of phenomenological models with specific application to the special type of innovative passive control device such as RR-FRB is not available in the literature.…”

Section: Introductionmentioning

confidence: 99%

A comparative study of phenomenological hysteretic models with application to recycled rubber-fibre reinforced bearings

Ravichandran¹

2020

J. vibroeng.

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The present study investigates the capability of different hysteresis models in representing the nonlinear behaviour of Recycled Rubber-Fibre Reinforced Bearings (RR-FRBs). A recently developed class of uniaxial phenomenological models is considered along with the Bouc-Wen Model (BWM). In particular, Bilinear Model (BM) and Exponential Model (EM), belonging to the class of above-mentioned phenomenological models, are used. The restoring force-displacement loops of RR-FRBs obtained from the different models are compared with the experimental studies retrieved from the literature. These first results show that the EM not only can accurately predict the behaviour of RR-FRBs, but it also requires a significantly lower computational time. Furthermore, to investigate the capability of the models in predicting the complete response of base-isolated structures, nonlinear time history analyses are carried out on a base-isolated rigid block with RR-FRBs. The response time histories of the rigid block and the restoring force-displacement loops obtained by using the EM are found to be in close agreement with the results obtained by adopting the BWM. In addition, the EM computational time is only 0.25 % of BWM. This clearly demonstrates the efficiency of EM in the seismic response analyses of base-isolated structures with RR-FRBs.

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Nonlinear dynamic analysis of hysteretic mechanical systems by combining a novel rate-independent model and an explicit time integration method

Cited by 81 publications

References 39 publications

Inherent characteristic analysis of a precast concrete vibrating table based on the Rayleigh-Ritz method

Inherent characteristic analysis of a precast concrete vibrating table based on the Rayleigh-Ritz method

Response of Duffing's Oscillator to Harmonic Base Excitation and Significance of First Order Term

A comparative study of phenomenological hysteretic models with application to recycled rubber-fibre reinforced bearings

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