A Device for Harvesting Energy From Rotational Vibrations

Trimble, A Zachary; Lang, Jeffrey H.; Pabon, Jahir; Slocum, Alexander H.

doi:10.1115/1.4002240

Cited by 21 publications

(17 citation statements)

References 10 publications

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“…In this section, the equations of motion for the proposed harvester are presented. The resulting equations are similar to that of Trimble et al [14] except with the addition of a cubic stiffness component. In addition, the nonlinear electromagnetic coupling factor has been determined by implementing the work of Markovic et al [16] and was added to the equations of motion using the method derived by Owens and Mann [17].…”

Section: The Proposed Energy Harvestermentioning

confidence: 77%

“…Trimble et al [14] used a linear spring attached to an electromagnetic generator to harness random vibrations encountered in oil rig drilling. Their harvester can generate 205 mW at resonance and 74 mW for random excitations that would be experienced when drilling.…”

Section: Vib-18-1105mentioning

confidence: 99%

“…The mechanical damping term arises due to friction in the bearings that support the rotor, friction in the springs and hysteresis and eddy current losses that may occur within the iron core of the stator. Previous works by Trimble et al [14] and Jang et al [24] were tested which result in damping ratios of 2.68%, 3.14% and 4.02%. These values are significantly higher than the damping ratio of Trimble et al [14].…”

Section: Mechanical Dampingmentioning

confidence: 99%

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A Nonlinear Concept of Electromagnetic Energy Harvester for Rotational Applications

Gunn

Theodossiades

Rothberg

2019

Journal of Vibration and Acoustics

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Many industrial applications incorporate rotating shafts with fluctuating speeds around a required mean value. This often harmonic component of the shaft speed is generally detrimental, since it can excite components of the system, leading to large oscillations (and potentially durability issues), as well as to excessive noise generation. On the other hand, the addition of sensors on rotating shafts for system monitoring or control poses challenges due to the need to constantly supply power to the sensor and extract data from the system. In order to tackle the requirement of powering sensors for structure health monitoring or control applications, this work proposes a nonlinear vibration energy harvester design intended for use on rotating shafts with harmonic speed fluctuations. The essential nonlinearity of the harvester allows for increased operating bandwidth, potentially across the whole range of the shaft's operating conditions.

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Section: The Proposed Energy Harvestermentioning

confidence: 77%

Section: Vib-18-1105mentioning

confidence: 99%

Section: Mechanical Dampingmentioning

confidence: 99%

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A Nonlinear Concept of Electromagnetic Energy Harvester for Rotational Applications

Gunn

Theodossiades

Rothberg

2019

Journal of Vibration and Acoustics

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“…135,[152][153][154][155][156] Other important applications include automotive suspension and powertrain design, 24, 96, 99, 157-165 robotic system design, 5,7,8,20,21,91,100,101,105,140,[166][167][168][169] and energy systems. 114,[170][171][172][173] While substantial depth exists in select application areas for dynamic system design optimization, fundamental MDO formulations specifically designed for dynamic systems are largely not available. Many of the above studies employed either the basic multidisciplinary feasible (MDF) formulation 57, 174 -where all analysis tasks are performed nested within a single optimization algorithm-or some form of the sequential design processes discussed above.…”

Section: Existing Uses Of Mdo For Dynamic System Designmentioning

confidence: 99%

Multidisciplinary Design Optimization of Dynamic Engineering Systems

Allison

Herber

2013

54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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Dynamic engineering systems are playing an increasingly important role in society, especially as active and autonomous dynamic systems become more mature and prevalent across a variety of domains. Successful design of complex dynamic systems requires multidisciplinary analysis and design techniques. While multidisciplinary design optimization (MDO) has been used successfully for the development of many dynamic systems, the established MDO formulations were developed around fundamentally static system models. We still lack general MDO approaches that address the specific needs of dynamic system design. In this article we review the use of MDO for dynamic system design, identify associated challenges, discuss related efforts such as optimal control, and present a vision for fully integrated design approaches. Finally, we lay out a set of exciting new directions that provide an opportunity for fundamental work in MDO. Nomenclature a(·)= analysis function a, b = example problem parameters α, β = energy domain designations A = state matrix for a linear and time invariant system B = input matrix for a linear and time invariant system c = suspension damping coefficient ε = convergence tolerance f (·)= design objective function f (·)= derivative function f a (·) = algebraic constraint g(·)= design constraint functions g p (·) = physical system constraints γ(t) = algebraic variable vector h i = time step i = time step index j = Gauss-Seidel block index, multiple-shooting time segment index k = iteration counter k s = suspension spring stiffness K = gain matrix K * = optimal gain matrix L(·) = Lagrange or running cost term m = number of Gauss-Seidel coordinate blocks n s = number of states n t = number of time steps n T = number of time segments φ(·) = cost function φ * (·) = optimal-value function (inner loop solution) φ(·) = alternative plant design objective function ψ(·) = Mayer or terminal cost term π(·) = augmented Lagrangian penalty function t = time t F = length of the time horizon t i = time at step i T j = time at the end of time segment j u(t) = control input trajectories u * (t) = optimal control trajectories u i = control input at time step i U = matrix discretization of u(t) x = optimization variable vector x * = optimal solution x k = solution estimate at iteration k x c = control system design variable vector x p = physical system design variable vector x p * = optimal plant design X = Cartesian product of closed convex sets ξ(t) = state variable trajectories ξ * (t) = optimal state trajectories ξ i = state at time step î ξ(t) = subset of state trajectorieṡ ξ(·) = time derivative of ξ(t) Ξ = discretization of ξ(t) Ξ = subset of discretized state trajectories y = coupling variable Y = matrix of initial state values for multiple shooting time segments ζ(·) = defect constraint functions (residuals) ζ i (·) = defect constraint between time segments

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“…To ensure the performance of the system designed, different types of vibration control methods (e.g. smart structure, passive and active vibration absorber) have been exploited in the recent decades [2][3][4][5]. Among them, the Tuned Mass Damper (TMD), a linear absorber with the passive control method, has been widely applied.…”

Section: Introductionmentioning

confidence: 99%

Tuned Nonlinear Energy Sink With Conical Spring: Design Theory and Sensitivity Analysis

Qiu

Seguy

Paredes

2017

Journal of Mechanical Design

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This paper is devoted to the study of a nonlinear energy sink (NES) intended to attenuate vibration induced in a harmonically forced linear oscillator (LO) and working under the principle of targeted energy transfer (TET). The purpose motivated by practical considerations is to establish a design criterion that first ensures that the NES absorber is activated and second provides the optimally tuned nonlinear stiffness for efficient TET under a given primary system specification. Then a novel NES design yielding cubic stiffness without a linear part is exploited. To this end, two conical springs are specially sized to provide the nonlinearity. To eliminate the linear stiffness, the concept of a negative stiffness mechanism is implemented by two cylindrical compression springs. A small-sized NES system is then developed. To validate the concept, a sensitivity analysis is performed with respect to the adjustment differences of the springs and an experiment on the whole system embedded on an electrodynamic shaker is studied. The results show that this type of NES can not only output the expected nonlinear characteristics, but can also be tuned to work robustly over a range of excitation, thus making it practical for the application of passive vibration control.

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A Device for Harvesting Energy From Rotational Vibrations

Cited by 21 publications

References 10 publications

A Nonlinear Concept of Electromagnetic Energy Harvester for Rotational Applications

A Nonlinear Concept of Electromagnetic Energy Harvester for Rotational Applications

Multidisciplinary Design Optimization of Dynamic Engineering Systems

Tuned Nonlinear Energy Sink With Conical Spring: Design Theory and Sensitivity Analysis

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