Energy-based viscoelastic model: a physical approach for material an elastic behavior by the bond graph approach

SIMULATION ◽  
2019 ◽  
Vol 96 (1) ◽  
pp. 111-127
Author(s):  
Amir Zanj ◽  
Fangpo He ◽  
Peter C Breedveld
Keyword(s):  
Dynamic Process ◽  
Viscoelastic Model ◽  
Physical Nature ◽  
Bond Graph ◽  
Elastic Behavior ◽  
Physical Domain ◽  
True Nature ◽  
Physical Systems ◽  
Viscoelastic Behaviors ◽  
Simulation Results

Understanding the true nature of viscoelastic behaviors in multi-physical systems has always been a challenging issue in system dynamic investigations, as each existing physical subdomain of the system may follow a different attenuation pattern during the dynamic process. In this study, to generate a viscoelastic model suitable for multi-physical domain dynamic investigations, a physical combined viscoelastic model is proposed. To this aim, by means of the bond graph approach, an energy-based conventional viscoelastic model is first generated, and its embedded dispersive mechanisms are interpreted physically. By including the interpreted dissipative mechanisms into the relative subdomains of an elastic domain, an energy-based combined viscoelastic model is then proposed. The obtained simulation results indicate that the proposed viscoelastic model is able to capture a variety of viscoelastic behaviors in the system with respect to the true physical nature of the system.

scholarly journals Approximation of Linearized Systems to a Class of Nonlinear Systems Based on Dynamic Linearization

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 854
Author(s):  
Raquel S. Rodríguez ◽  
Gilberto Gonzalez Avalos ◽  
Noe Barrera Gallegos ◽  
Gerardo Ayala-Jaimes ◽  
Aaron Padilla Garcia
Keyword(s):  
Nonlinear System ◽  
Nonlinear Systems ◽  
Nonlinear Dynamic ◽  
Bond Graph ◽  
Physical Domain ◽  
Graph Models ◽  
Simple Task ◽  
Analysis And Synthesis ◽  
Simulation Results

An alternative method to analyze a class of nonlinear systems in a bond graph approach is proposed. It is well known that the analysis and synthesis of nonlinear systems is not a simple task. Hence, a first step can be to linearize this nonlinear system on an operation point. A methodology to obtain linearization for consecutive points along a trajectory in the physical domain is proposed. This type of linearization determines a group of linearized systems, which is an approximation close enough to original nonlinear dynamic and in this paper is called dynamic linearization. Dynamic linearization through a lemma and a procedure is established. Therefore, linearized bond graph models can be considered symmetric with respect to nonlinear system models. The proposed methodology is applied to a DC motor as a case study. In order to show the effectiveness of the dynamic linearization, simulation results are shown.

scholarly journals Analysing and simulating energy-based models in biology using BondGraphTools

2021 ◽  
Author(s):  
Peter Cudmore ◽  
Michael Pan ◽  
Peter J. Gawthrop ◽  
Edmund J. Crampin
Keyword(s):  
Systems Biology ◽  
Mathematical Models ◽  
Bond Graph ◽  
Experimental Measurements ◽  
Bond Graphs ◽  
Graph Models ◽  
Conservation Of Energy ◽  
Conservation Of Mass ◽  
Physical Systems ◽  
Complex Interactions

AbstractLike all physical systems, biological systems are constrained by the laws of physics. However, mathematical models of biochemistry frequently neglect the conservation of energy, leading to unrealistic behaviour. Energy-based models that are consistent with conservation of mass, charge and energy have the potential to aid the understanding of complex interactions between biological components, and are becoming easier to develop with recent advances in experimental measurements and databases. In this paper, we motivate the use of bond graphs (a modelling tool from engineering) for energy-based modelling and introduce, BondGraphTools, a Python library for constructing and analysing bond graph models. We use examples from biochemistry to illustrate how BondGraphTools can be used to automate model construction in systems biology while maintaining consistency with the laws of physics.

Performance of the Bond Graph Approach for the Detection and Localization of Faults of a Refrigerator Compartment Containing an Ice Quantity

2018 ◽  
Vol 26 (03) ◽  
pp. 1850028 ◽  
Author(s):  
Abderrahmene Sellami ◽  
Emna Aridhi ◽  
Dhia Mzoughi ◽  
Abdelkader Mami
Keyword(s):  
Bond Graph ◽  
Heat Fluxes ◽  
Point Of View ◽  
Internal Cooling ◽  
Linear Fractional Transformations ◽  
Insulation Failure ◽  
Water Container ◽  
Simulation Results ◽  
Heat Transfers ◽  
Detection And Localization

In this paper, a robust fault diagnosis for a refrigerator compartment containing a quantity of ice using the bond graph (BG) approach is performed by linear fractional transformations (LFTs). The BG model describes heat transfers supported by the amount of ice placed in the refrigerator compartment, as well as a water container. The LFT modeling of BG elements offers advantages from the point of view of structural analysis and data processing implementation. We have introduced four faults, which consist of ice temperature rise, water leakage, insulation failure at the hot walls of the refrigerator and an increase of the internal temperature due to poor door sealing. The faults are in the form of additional heat fluxes. The simulation results show the effectiveness of the proposed method for detecting and localizing faults. In addition, the lack of door sealing has the most influence on the temperatures in the internal cooling space, water, and ice compared to the other faults.

Analysis of loading effect of systems in a bond graph approach with application to a synchronous machine

2011 ◽  
Vol 226 (2) ◽  
pp. 243-255
Author(s):  
G Gonzalez
Keyword(s):  
Transfer Function ◽  
Closed Loop ◽  
Bond Graph ◽  
Physical Domain ◽  
Closed Loop System ◽  
Graph Models ◽  
Loading Effect ◽  
Closed Loop Systems ◽  
New Type ◽  
Feedback Connections

A new type of bond designed as an adapted bond is proposed. This bond can be considered in the transition from an active bond to a bond. This approach makes it possible to know the loading effect of the controller–plant and the feedback connections. In order to determine the loading effect of the closed-loop system, the transfer function using causal paths and causal loops of the system in the physical domain is presented. However, this proposed adapted bond should be used in fault cases. Finally, some examples of bond graph models in open- and closed-loop systems are given.

scholarly journals Causality in Models of Thermal Processes in Ship Engine Rooms with the Use of Bond Graph (BG) Method

2017 ◽  
Vol 24 (s1) ◽  
pp. 32-37 ◽  
Author(s):  
Marian Cichy ◽  
Zbigniew Kneba ◽  
Jacek Kropiwnicki
Keyword(s):  
Energy Systems ◽  
Physical Nature ◽  
Bond Graph ◽  
Thermal Processes ◽  
Electrical System ◽  
Thermodynamic Process ◽  
State Equations ◽  
Simulation Experiments ◽  
Systems Models ◽  
Single Approach

AbstractWith a single approach to modeling elements of different physical nature, the method of Bond Graph (BG) is particularly well suited for modeling energy systems consisting of mechanical, thermal, electrical and hydraulic elements that operate in the power system engine room. The paper refers to the earlier presented [2] new concept of thermal process modeling using the BG method. The authors own suggestions for determining causality in models of thermal processes created by the said concept were given. The analysis of causality makes it possible to demonstrate the model conflicts that prevent the placement of state equations which allows for the direct conduct of simulation experiments. Attention has been drawn to the link between the energy systems models of thermal processes with models of elements of different physical nature. Two examples of determining causality in models of complex energy systems of thermal elements have been presented. The firs relates to the electrical system associated with the process of heat exchange. The second is a model of the mechanical system associated with the thermodynamic process.

Fault Detection in a Cracked Pipeline Embedded with Piezoelectric Sensors/Actuators Employing Bond Graph Approach

2012 ◽  
Vol 476-478 ◽  
pp. 1015-1019 ◽  
Author(s):  
M. Kolbadi Nejad ◽  
A. Selk Ghafari ◽  
A. Zabihollah
Keyword(s):  
Power Flow ◽  
Active Vibration Control ◽  
Bond Graph ◽  
Piezoelectric Sensors ◽  
Graph Structure ◽  
Sensors And Actuators ◽  
Piezoelectric Sensors And Actuators ◽  
Equivalent Impedance ◽  
Active Vibration ◽  
Simulation Results

The main scope of this article is to simulate a cracked pipeline embedded with piezoelectric sensors and actuators utilizing bond graph approach. Piezoelectric sensors/actuators are becoming very popular in various applications such as health monitoring, active vibration control or noise reduction, and as a part of the systems called smart structures. The proposed bond graph structure in this study, graphically illustrates the power flow between the electrical and mechanical frameworks included in the system. In addition, the proposed framework makes it possible to utilize a modular structure for separately representing the electrical polarization of the material and its macroscopic electrical and mechanical effects. Simulation results illustrate that at the location of the crack the equivalent impedance is increased and the capacitance is decreased in comparison with the intact region.

scholarly journals A model of the IC engine in the form of the bond graph (BG)

2004 ◽  
Vol 119 (2) ◽  
pp. 40-47
Author(s):  
Marian CICHY ◽  
Jacek KROPIWNICKI ◽  
Sławomir MAKOWSKI
Keyword(s):  
Vector Function ◽  
Physical Nature ◽  
Analytic Form ◽  
Internal Combustion ◽  
Bond Graph ◽  
Energy Sources ◽  
Spline Functions ◽  
Ic Engine ◽  
Ic Engines ◽  
Main Engine

Grounds for the use of the bond graph method in the modeling of internal combustion (IC) engines, which are energy sources in systems consisting of different physical nature elements have been presented. The model of hybrid vehicle, as an example of such system, has been presented. Examples of definitions of the main engine parameters, which follow the established BG convention have been given. A proposal of formalization of the IC engine characteristics, which follows the selected method of modeling, has been presented as well as an analytic form of the characteristic as the multidimensional vector function. Example of the engine characteristic approximation with the use of the “Spline” functions and author’s computer programs has been given.

scholarly journals Investigation on Microstructural Damage Properties of Asphalt Mixture Using Linear and Damage-Coupled Viscoelastic Model

2019 ◽  
Vol 9 (2) ◽  
pp. 303
Author(s):  
Wenke Huang ◽  
Zhibin Ren ◽  
Xiaoning Zhang ◽  
Jiangmiao Yu
Keyword(s):  
Stress Distribution ◽  
Viscoelastic Model ◽  
Asphalt Mixture ◽  
Viscoelastic Behavior ◽  
Von Mises Stress ◽  
Micromechanical Modeling ◽  
Fe Model ◽  
Asphalt Mastic ◽  
Simulation Results ◽  
Von Mises

This paper presents an image-based micromechanical modeling approach for simulating the damage-couple viscoelastic response of asphalt mixture. Details of the numerical damage-couple viscoelastic constitutive formulation implemented in a finite element code are presented and illustrated by using the ABAQUS user material subroutine (UMAT). Then, an experimental procedure based on the Linear Amplitude Sweep test for obtaining the viscoelastic and damage parameters at a given temperature was conducted. An improved morphological multi-scale algorithm was employed to segment the adhesive coarse aggregate images. We developed a pixel-based digital reconstruction model of asphalt mixture with the X-ray CT image after being processed. Finally, the image-based FE model incorporated with damage-coupled viscoelastic asphalt mastic phase and elastic aggregates was used for the compressive test simulations successfully in this study. Simulation results showed that the damaged simulation results have a larger stress distribution compared with the undamaged simulation due to the irregularity of the coarse aggregates. The von Mises stress distribution is smaller as the loading time increases due to the viscoelastic behavior of asphalt mastic. It can also provide insight on the damaged mechanisms and the possible location in asphalt mixture where microscopic cracking would most likely occur.

scholarly journals Optimization method to suppress background for imaging multiple planes

2019 ◽  
Vol 12 (02) ◽  
pp. 1950004
Author(s):  
Vannhu Le
Keyword(s):  
Cross Talk ◽  
Dynamic Process ◽  
Optimization Method ◽  
Live Imaging ◽  
Biological Processes ◽  
Simultaneous Imaging ◽  
Main Disadvantage ◽  
Simulation Results ◽  
3D Volume ◽  
Imaging Speed

3D live imaging is important for better understanding of biological processes. To obtain biological dynamic process, high imaging speed is required. In order to improve speed in 3D live imaging, simultaneous imaging of multiple planes throughout a 3D volume has been proposed. However, a main disadvantage of this method is the cross-talk from neighboring imaging planes. In this paper, we propose an optimization method to suppress background from neighboring imaging planes. A D-aperture is used to generate multiple light sheets. An optimization method to suppress background is presented. The simulation results demonstrated that the proposed method can be used to suppress the effectiveness of background from neighboring light sheets.

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