Analytical modeling of a simple passive electromagnetic eddy current friction damper

Amjadian, Mohsen; Agrawal, Anil K.

doi:10.1117/12.2218913

Cited by 7 publications

(39 citation statements)

References 21 publications

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“…The value of this velocity should be small enough compared to the absolute maximum velocity of the damper (i.e., v fs = 0.01 ~ 0.1 m/s) to ensure that Stribeck effect takes place at low velocities. Figure shows the force‐displacement and force‐velocity hysteresis loops of LuGre friction model compared to those of Coulomb friction model used in the previous work of the authors . These hysteresis loops match very well.…”

Section: Mathematical Modeling Of a Simple Pemecfdmentioning

confidence: 51%

“…Research presented in this paper is a continuation of the previous work of the authors published in the proceedings of the 2016 SPIE smart structures conference . Major differences between these two publications are briefly explained in the following.…”

Section: Introductionmentioning

confidence: 88%

“…Displacement and velocity hysteresis loops of LuGre friction model compared to those of Coulomb friction model used in the previous work of the authors for a single‐degree‐of‐freedom (SDOF) system subjected to a harmonic ground acceleration: (a) SDOF system model, (b) force‐displacement hysteresis loop, and (c) force‐velocity hysteresis loop…”

Section: Mathematical Modeling Of a Simple Pemecfdmentioning

confidence: 99%

“…This integral is evaluated over the boundary surfaces surrounding the volume of the upper PM whose positions with respect to the X, Y, and Z axes are { X c21 , X c22 }, { Y c21 , Y c22 }, and { Z c21 , Z c22 }, respectively. The analytical solution of this integral can be represented as

B_{2} ((),,, X, Y, Z) = - \frac{1}{4 normalπ} B_{r} true {true\sum}_{i, j, k = 1}^{2} {((),, - 1)}^{i + j + k} \{\begin{matrix} center \\ center {normalb}_{normalX} (X - {normalX}_{c 2 i}, Y - {normalY}_{c 2 j}, Z - {normalZ}_{c 2 k}) \\ center {normalb}_{normalY} (X - {normalX}_{c 2 i}, Y - {normalY}_{c 2 j}, Z - {normalZ}_{c 2 k}) \\ center {normalb}_{normalZ} (X - {normalX}_{c 2 i}, Y - {normalY}_{c 2 j}, Z - {normalZ}_{c 2 k}) \end{matrix}\},

where B r is the remanence of the upper PM defined as B r = μ 0 M r , μ 0 being the magnetic permeability of vacuum =4π × 10 −7 Tm/A, and functions b X (X,Y,Z), b Y (X,Y,Z), and b Z (X,Y,Z) are defined as

\begin{matrix} left \\ {normalb}_{normalX} (normalX, normalY, normalZ) = ln (Y + \sqrt{{normalX}^{2} + {normalY}^{2}}) \end{matrix}

…”

Section: Mathematical Modeling Of a Simple Pemecfdmentioning

confidence: 99%

“…To oppose the change, as the PMs move ahead with respect to the copper plate, the direction of the induced magnetic field is in such a way that it attracts and repels the external magnetic field in the rear and front of PMs, respectively, as shown in the Figure a. This mechanism produces a braking force denoted by F ′ e whose direction is always against the relative motion between the PMs and the copper plate …”

Section: Mathematical Modeling Of a Simple Pemecfdmentioning

confidence: 99%

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A passive electromagnetic eddy current friction damper (PEMECFD): Theoretical and analytical modeling

Amjadian

Agrawal

2017

Struct. Control Health Monit.

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Summary The focus of this paper is on analytical modeling of a novel type of passive friction damper for seismic hazard mitigation of structures. The proposed seismic damping device, which is termed as passive electromagnetic eddy current friction damper, utilizes a solid‐friction mechanism in parallel with an eddy current damping mechanism to maximize the dissipation of input seismic energy through a smooth sliding in the damper. In this passive damper, friction force is produced through magnetic repulsive action between two permanent magnetic sources magnetized in the direction normal to the friction surface, and the eddy current damping force is generated because of the motion of the permanent magnetic sources in the vicinity of a conductor. The friction and eddy current damping parts are able to individually produce ideal rectangular and elliptical hysteresis loops, respectively; which, when combined in the proposed device, are able to accomplish a higher input seismic energy dissipation than that only by the friction mechanism. This damper is implemented on a two‐degree‐of‐freedom system to demonstrate its capability in reducing seismic responses of frame building structures. The numerical results show that the seismic performance of the proposed damper is comparable with that of passive magnetorheological damper of the same force capacity. However, the cost of the device is likely to be quite lesser than that of a magnetorheological damper.

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Section: Mathematical Modeling Of a Simple Pemecfdmentioning

confidence: 51%

Section: Introductionmentioning

confidence: 88%

Section: Mathematical Modeling Of a Simple Pemecfdmentioning

confidence: 99%

B_{2} ((),,, X, Y, Z) = - \frac{1}{4 normalπ} B_{r} true {true\sum}_{i, j, k = 1}^{2} {((),, - 1)}^{i + j + k} \{\begin{matrix} center \\ center {normalb}_{normalX} (X - {normalX}_{c 2 i}, Y - {normalY}_{c 2 j}, Z - {normalZ}_{c 2 k}) \\ center {normalb}_{normalY} (X - {normalX}_{c 2 i}, Y - {normalY}_{c 2 j}, Z - {normalZ}_{c 2 k}) \\ center {normalb}_{normalZ} (X - {normalX}_{c 2 i}, Y - {normalY}_{c 2 j}, Z - {normalZ}_{c 2 k}) \end{matrix}\},

\begin{matrix} left \\ {normalb}_{normalX} (normalX, normalY, normalZ) = ln (Y + \sqrt{{normalX}^{2} + {normalY}^{2}}) \end{matrix}

…”

Section: Mathematical Modeling Of a Simple Pemecfdmentioning

confidence: 99%

Section: Mathematical Modeling Of a Simple Pemecfdmentioning

confidence: 99%

See 3 more Smart Citations

A passive electromagnetic eddy current friction damper (PEMECFD): Theoretical and analytical modeling

Amjadian

Agrawal

2017

Struct. Control Health Monit.

Self Cite

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Research Developments of Eddy Current Dampers for Seismic Vibration Control of Structures

Shobhana,

Panchal,

Matsagar

2023

J. Vib. Eng. Technol.

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Input space dependent controller for civil structures exposed to multi-hazard excitations

Cao

Laflamme

Hong

et al. 2018

Engineering Structures

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A challenge in the control of civil structures exposed to multiple types of hazards is in the tuning of control parameters to ensure a prescribed level of performance under substantially different excitation dynamics, which could be considered as largely uncertain. A solution is to leverage data driven control algorithms, which, in their adaptive formulation, can self-tune to uncertain environments. The authors have recently proposed a new type of data-driven controller, termed input space dependent controller (ISDC), that has the particularity to adapt its input space in real-time to identify key measurements that represent the essential dynamics of the system. Previous studies have focused on time delay formulations, where the adaptive control rule would use time delayed measurements as inputs. In this configuration, termed variable multi-delay controller (VMDC), the time delay itself was adaptive, which provided the input space dependence capabilities. However, the size, or embedding dimension, of the input space was kept constant. In this paper, the authors formulate and study a strategy to also have the embedding dimension vary, therefore providing full adaptive input space capabilities. This generalization of the ISDC algorithm will allow the controller to adapt to excitations with higher levels of chaos, such as a seismic event. The performance of ISDC under multi-hazard excitations is first investigated on a single-degree-of-freedom system and compared with the previously developed and demonstrated VMDC. Results show that the adaptive embedding dimension provides significantly enhanced mitigation performance. After, the ISDC performance is assessed on two benchmark buildings equipped with a semi-active friction device and subjected to non-simultaneous multihazard excitations (wind, blast and earthquake). Results are compared with a sliding mode controller, where the ISDC is shown to provide better mitigation capabilities. A B S T R A C TA challenge in the control of civil structures exposed to multiple types of hazards is in the tuning of control parameters to ensure a prescribed level of performance under substantially different excitation dynamics, which could be considered as largely uncertain. A solution is to leverage data driven control algorithms, which, in their adaptive formulation, can self-tune to uncertain environments. The authors have recently proposed a new type of data-driven controller, termed input space dependent controller (ISDC), that has the particularity to adapt its input space in real-time to identify key measurements that represent the essential dynamics of the system. Previous studies have focused on time delay formulations, where the adaptive control rule would use time delayed measurements as inputs. In this configuration, termed variable multi-delay controller (VMDC), the time delay itself was adaptive, which provided the input space dependence capabilities. However, the size, or embedding dimension, of the input space was kept constant. In this paper, the authors formulate a...

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Analytical modeling of a simple passive electromagnetic eddy current friction damper

Cited by 7 publications

References 21 publications

A passive electromagnetic eddy current friction damper (PEMECFD): Theoretical and analytical modeling

A passive electromagnetic eddy current friction damper (PEMECFD): Theoretical and analytical modeling

Research Developments of Eddy Current Dampers for Seismic Vibration Control of Structures

Input space dependent controller for civil structures exposed to multi-hazard excitations

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