A Simple Rate-Independent Uniaxial Shape Memory Alloy (SMA) Model

Charalampakis, Aristotelis E.; Tsiatas, George

doi:10.3389/fbuil.2018.00046

Cited by 10 publications

(2 citation statements)

References 38 publications

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“…The response of SMA wires is modelled according to the phenomenological super-elastic hysteretic model proposed by Charalampakis [37] given in rate form:…”

Section: Sma Wiresmentioning

confidence: 99%

Nonlinear dynamic response of a Negative Stiffness-Shape Memory Alloy isolation system

Salvatore¹,

Carboni²,

Lacarbonara³

2021

Preprint

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The negative stiffness exhibited by bi-stable mechanisms together with tunable hysteresis in the context of vibration isolation devices can enhance the dynamic resilience of a structure. The effects of negative stiffness and shape memory alloy (SMA) damping in base-isolated structures are here explored by carrying out an extensive study of the nonlinear dynamic response via pathfollowing, bifurcation analysis, and time integration. The frequency-response curves of the isolated structure, with and without the negative stiffness contribution, are numerically obtained for different excitation amplitudes to construct the acceleration and displacement transmissibility curves. The advantages of negative stiffness, damping augmentation and reduced accelerations and displacements transmissibility, as well as the existence of rich bifurcation scenarios giving rise to quasi-periodicity and synchronization, are extensively illustrated.

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“…The response of SMA wires is modelled according to the phenomenological super-elastic hysteretic model proposed by Charalampakis [37] given in rate form:…”

Section: Sma Wiresmentioning

confidence: 99%

Nonlinear dynamic response of a Negative Stiffness-Shape Memory Alloy isolation system

Salvatore¹,

Carboni²,

Lacarbonara³

2021

Preprint

View full text Add to dashboard Cite

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“…One of the most important mechanical property of SMAs is that they can undergo large inelastic strains recoverable upon load removal (Superelasticity). The SMA's stress-strain relation adopted herein was obtained by interpolating the experimental curve presented in Charalampakis and Tsiatas (2018).…”

Section: Example 3: Shape Memory Alloy Beam Under Concentrated Loadingmentioning

confidence: 99%

A Layered Boundary Element Nonlinear Analysis of Beams

Tsiatas

Siokas

Sapountzakis

2018

Front. Built Environ.

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This work aims to introduce a new layered approach to the nonlinear analysis of initially straight Euler-Bernoulli beams by the Boundary Element Method (BEM). The beam is studied in the context of both geometrical and material nonlinearity. The governing differential equations, derived by applying the principle of minimum total potential energy, are coupled and nonlinear, while the boundary conditions are the most general and may include elastic support or restraint. The boundary value problem, regarding the axial and transverse displacements, is solved using the Analog Equation Method (AEM), a BEM based method, together with an iterative procedure. Although a direct solution to the geometrical nonlinear problem has already been presented, in this work an alternative layered analysis is proposed. The discretization is applied in both the longitudinal direction and the cross-sectional plane, and an iterative process is commenced. First, initial fictitious load distributions are assumed at beam's each cross-section, and the displacements, as well as their derivatives, are computed using the AEM. Second, the two stress resultants, i.e., the axial force and bending moment, are evaluated by appropriate integration over the cross-section. In the end, the derivatives of the stress resultants are evaluated, and the equilibrium of the governing equations is checked. If the equilibrium is satisfied, the process is terminated. Otherwise, the fictitious load distributions are updated, and the procedure starts over again. Several representative examples are studied, and the results are compared with those presented in the literature, validating the reliability and effectiveness of the proposed method.

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Nonlinear response of a multidirectional negative‐stiffness isolation system via semirecursive multibody dynamic approach

Dai,

Carboni,

Quaranta

et al. 2024

Int Journal of Mech Sys Dyn

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This paper investigates an innovative negative‐stiffness device (NSD) that modifies the apparent stiffness of the supported structure for seismic isolation. The NSD comprises a lower base on the bottom and a cap on the top, together with a connecting rod, vertical movable wall, and compressed elastic spring, as well as circumferentially arranged, pretensioned external ropes, and inclined shape memory wires. This configuration can deliver negative stiffness and energy dissipation in any direction within the horizontal plane. A numerical model of the device is developed through a two‐step semirecursive method to obtain the force–displacement characteristic relationship. Such a model is first validated through comparison with the results obtained via the commercial software ADAMS. Finally, a large parametric study is performed to assess the role and the influence of each design variable on the overall response of the proposed device. Useful guidelines are drawn from this analysis to guide the system design and optimization.

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A Simple Rate-Independent Uniaxial Shape Memory Alloy (SMA) Model

Cited by 10 publications

References 38 publications

Nonlinear dynamic response of a Negative Stiffness-Shape Memory Alloy isolation system

Nonlinear dynamic response of a Negative Stiffness-Shape Memory Alloy isolation system

A Layered Boundary Element Nonlinear Analysis of Beams

Nonlinear response of a multidirectional negative‐stiffness isolation system via semirecursive multibody dynamic approach

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