Non-Linear Generalized Maxwell Model for Dynamic Characterization of Viscoelastic Components and Parametric Identification Techniques

Jrad, Hanen; Dion, Jean-Luc; Renaud, François; Tawfiq, Imad; Haddar, Mohamed

doi:10.1115/detc2012-70264

Cited by 5 publications

(5 citation statements)

References 10 publications

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“…9. can be presented [30]. Combining the above formulas and relaxation test data, each coe cient of Eq.…”

Section: E -Equilibrium Relaxation Modulus Coe Cientmentioning

confidence: 99%

Modeling of AP-HTPB Solid Propellant Viscoelastic Behavior Using Modified Maxwell Model

Eldin,

Adel,

sabbagh

2024

Preprint

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In this research, an initial exploration of the viscous effects present in heterogeneous solid rocket propellant is conducted through experimental analysis. To achieve this, uniaxial tensile and relaxation experiments were conducted on the Joint Army-Navy-NASA-Air Force Propulsion Committee (JANNAF) standard[1], specimens using the Zwick Z050 universal testing machine. The work involved conducting destructive tensile tests at different strain rates and relaxation tests at different strain levels and temperatures, with three values being considered. The resulting data from the experiments are illustrated in appropriate diagrams, and depending on these data, the viscoelastic behavior of this material was confirmed. Additionally, mathematical modeling of this studied phenomenon using the generalized Maxwell model, identified on the basis of experimental data, is presented. The material parameters of the constitutive model are determined numerically using MATLAB software based on the Prony series procedure. The efficiency of the model and the identification approach are discussed. A high agreement between the calculation and the experimental results was found based on the Prony coefficients of relaxation modulus, with a maximum error of about 2.35%. Finally, numerical modeling of the relaxation tests was conducted to simulate the stress relaxation behavior of the AP-HTPB composite solid propellant using the ANSYS program. The Prony coefficients were added to the nonlinear viscoelastic components to define the material model in ANSYS, and the maximum difference between the numerical and experimental results is 3.98%.

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“…9. can be presented [30]. Combining the above formulas and relaxation test data, each coe cient of Eq.…”

Section: E -Equilibrium Relaxation Modulus Coe Cientmentioning

confidence: 99%

Modeling of AP-HTPB Solid Propellant Viscoelastic Behavior Using Modified Maxwell Model

Eldin,

Adel,

sabbagh

2024

Preprint

View full text Add to dashboard Cite

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“…Specifically, we chose a standard generalized Maxwell model (GMM) to represent our system, depicted in Figure 6 B. Following [ 34 , 35 ], the dynamic stiffness, or stress over strain, of a GMM can be modeled in the frequency domain as follows:

where

is the static stiffness and

and

are the stiffness and damping values for the Maxwell element i . This can be converted into the equivalent pole-zero formulation:

…”

Section: Sensor Characterizationmentioning

confidence: 99%

Decoupling Transmission and Transduction for Improved Durability of Highly Stretchable, Soft Strain Sensing: Applications in Human Health Monitoring

Kight

Pirozzi

Liang

et al. 2023

Sensors

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This work presents a modular approach to the development of strain sensors for large deformations. The proposed method separates the extension and signal transduction mechanisms using a soft, elastomeric transmission and a high-sensitivity microelectromechanical system (MEMS) transducer. By separating the transmission and transduction, they can be optimized independently for application-specific mechanical and electrical performance. This work investigates the potential of this approach for human health monitoring as an implantable cardiac strain sensor for measuring global longitudinal strain (GLS). The durability of the sensor was evaluated by conducting cyclic loading tests over one million cycles, and the results showed negligible drift. To account for hysteresis and frequency-dependent effects, a lumped-parameter model was developed to represent the viscoelastic behavior of the sensor. Multiple model orders were considered and compared using validation and test data sets that mimic physiologically relevant dynamics. Results support the choice of a second-order model, which reduces error by 73% compared to a linear calibration. In addition, we evaluated the suitability of this sensor for the proposed application by demonstrating its ability to operate on compliant, curved surfaces. The effects of friction and boundary conditions are also empirically assessed and discussed.

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“…Rubber material can be described by a non-linear GMM Jrad et al. (2012) , which is divided into a quasi-static process and a dynamic process.…”

Section: Controller Designmentioning

confidence: 99%

Switchable MPC-based multi-objective regenerative brake control via flow regulation for electric vehicles

Mei

Cheng²,

Mu³

et al. 2023

Front. Robot. AI

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Recent investigations of the electric braking booster (E-Booster) focus on its potential to enhance brake energy regeneration. A vehicle’s hydraulic system is composed of the E-Booster and electric stability control to control the master cylinder and wheel cylinders. This paper aims to address the independent closed-loop control of the position and pressure as well as the maintenance of the pedal feel. To track both the reference signals related to piston displacement and the wheel cylinder pressure, an explicit model predictive control (MPC) is developed. First, the new flow model is introduced as the foundation for controller design and simulation. Next, in accordance with the operational conditions, the entire system is divided into three switchable subsystems. The three distributed MPCs are constructed based on the linearized subsystems, and a state machine is used to perform the state jump across the controllers. A linear piecewise affine control law can then be obtained by solving the quadratic program (QP) of explicit MPC. Afterwards, the non-linear extended Kalman filter including the recorded time-variant process noise is used to estimate all the state variables. The effectiveness of the explicit MPC is evidenced by the simulations compared with a single MPC in regenerative and dead-zone conditions. The proposed controller decreases the latency significantly by 85 milliseconds, which also helps to improve accuracy by 22.6%. Furthermore, the pedal feel remains consistent, even when factoring in the number of vibrations caused by the inherent hydraulic characteristic of pressure versus volume.

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Non-Linear Generalized Maxwell Model for Dynamic Characterization of Viscoelastic Components and Parametric Identification Techniques

Cited by 5 publications

References 10 publications

Modeling of AP-HTPB Solid Propellant Viscoelastic Behavior Using Modified Maxwell Model

Modeling of AP-HTPB Solid Propellant Viscoelastic Behavior Using Modified Maxwell Model

Decoupling Transmission and Transduction for Improved Durability of Highly Stretchable, Soft Strain Sensing: Applications in Human Health Monitoring

Switchable MPC-based multi-objective regenerative brake control via flow regulation for electric vehicles

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