A class of uniaxial phenomenological models for simulating hysteretic phenomena in rate-independent mechanical systems and materials

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

doi:10.1007/s11071-018-4282-2

Cited by 122 publications

(66 citation statements)

References 52 publications

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“…This subsection develops a one degree of freedom model using a general constitutive equation with application to computational mechanics. The internal forces are adapted from the exponential model (EM) of Vaiana et al [19]. This material description is intended to fit the rate-independent hysteretic behavior of materials.…”

Section: A Computational Mechanics Problemmentioning

confidence: 99%

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Sensitivity Analysis for Hybrid Systems and Systems With Memory

Serban

Recuero

2019

Journal of Computational and Nonlinear Dynamics

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We present an adjoint sensitivity method for hybrid discrete -continuous systems, extending previously published forward sensitivity methods. We treat ordinary differential equations and differential-algebraic equations of index up to two (Hessenberg) and provide sufficient solvability conditions for consistent initialization and state transfer at mode switching points, for both the sensitivity and adjoint systems. Furthermore, we extend the analysis to so-called hybrid systems with memory where the dynamics of any given mode depend explicitly on the states at the last mode transition point. We present and discuss several numerical examples, including a computational mechanics problem based on the so-called exponential model constitutive material law for steel reinforcement under cyclic loading.

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Section: A Computational Mechanics Problemmentioning

confidence: 99%

“…where u is the deformation displacement, z is the internal stress, A is the cross section area, and m is the mass of the system, concentrated in one node. The stress is determined by [19]…”

Section: A Computational Mechanics Problemmentioning

confidence: 99%

Sensitivity Analysis for Hybrid Systems and Systems With Memory

Serban

Recuero

2019

Journal of Computational and Nonlinear Dynamics

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“…To decrease the computational burden of the analyses without decreasing the accuracy of the numerical results, we propose to evaluate z(u) by employing a specific instance of the general class of uniaxial phenomenological models formulated by Vaiana et al [13,14].…”

Section: Model Formulationmentioning

confidence: 99%

“…where δ k may be set equal to 10 −20 , as explained in [13,14]. Finally, for the generic loading case, the expression of the history variable is:…”

Section: Model Formulationmentioning

confidence: 99%

Accurate and Efficient Modeling of the Hysteretic Behavior of Sliding Bearings

Vaiana¹,

Sessa²,

Paradiso³

et al. 2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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This paper presents a uniaxial phenomenological model for the simulation of the hysteretic behavior typically exhibited by sliding bearings deforming along one of their transverse directions under the effect of an axial compressive load. The proposed hysteretic model is able to take into account the dependency of the device restoring force on the velocity of sliding, on the bearing pressure, and on the condition of the sliding interface. Furthermore, it allows for a considerable reduction of the computational effort of nonlinear dynamic analyses since the model hysteretic variable is evaluated by solving an algebraic equation. The numerical accuracy and computational efficiency of the proposed model are assessed by means of numerical simulations. 5291 COMPDYN 2019 7 th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering M. Papadrakakis, M. Fragiadakis (eds.

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“…Studies have been conducted to determine the vertical and horizontal behaviour, under cyclic and monotonic loads, of FREIs based on the behaviour of the SREIs, leading to a better understanding of their performance. These investigations have considered the influence of the variation of the reinforcement and matrix materials as well as the influence of the vertical pressure by comparing experimental investigations and finite element analyses [6], [12]- [17]. However, the lack of a complete analytical solution that combines the lateral and vertical response of FREIs has limited the possibility ofpredicting their response under large levels of deformation (i.e., strain up to 100%) [16].…”

Section: Introductionmentioning

confidence: 99%

Analytical vs Numerical Determination of the Axial and Lateral Stiffness of Fiber Reinforced Isolators

Losanno¹,

Sierra²,

Calabrese³

et al. 2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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This paper presents the results of a numerical and experimental study aiming to define the vertical and horizontal stiffness of Fiber-Reinforced Elastomeric Isolators (FREIs). In FREIs, the conventional steel shims of laminated rubber bearings are replaced by flexible fiber reinforcements. The axial and lateral response of these bearings is influenced by the flexibility of these layers. This study describes results of an analytical model capable of providing an accurate estimation of the vertical and horizontal stiffness of the bearings under static and dynamic loads. Results of this analytical model are compared to output of finite element analysis (FEM) available in literature. The influence of the geometry of the isolator (i.e., strip and circular shape), its shape factor and type of reinforcement on the vertical and horizontal stiffness are discussed. Considerations are also given on the effects of the compressibility of the rubber on the axial and lateral response of the devices.

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A class of uniaxial phenomenological models for simulating hysteretic phenomena in rate-independent mechanical systems and materials

Cited by 122 publications

References 52 publications

Sensitivity Analysis for Hybrid Systems and Systems With Memory

Sensitivity Analysis for Hybrid Systems and Systems With Memory

Accurate and Efficient Modeling of the Hysteretic Behavior of Sliding Bearings

Analytical vs Numerical Determination of the Axial and Lateral Stiffness of Fiber Reinforced Isolators

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