Bond Graph Modeling of an Internally Damped Nonideal Flexible Spinning Shaft

2010 ◽  
Vol 132 (6) ◽  
Author(s):  
A. K. Samantaray ◽  
S. S. Dasgupta ◽  
R. Bhattacharyya
Keyword(s):  
Steady State ◽  
Graph Model ◽  
Bond Graph ◽  
Design Stage ◽  
Stability Threshold ◽  
Transverse Modes ◽  
Graph Modeling ◽  
Bond Graph Modeling ◽  
Spinning Speed ◽  
Spinning Shaft

The rotating internal damping or nonconservative circulatory force in a rotor shaft system causes instability beyond a certain threshold rotor spinning speed. However, if the source loading of the drive is considered, then the rotor spin is entrained at the stability threshold and a stable whirl orbit is observed about the unstable equilibrium. As we move toward the use of more and more lightweight rotor dynamic components such as the shaft and the motor, overlooking this frequency entrainment phenomenon while sizing the actuator in the design stage may lead to undesirable performance. This applies to many emerging areas of strategic importance such as in vivo medical robots where flexible probes are used and space robotics applications involving rotating tools. We analyze this spin entrainment phenomenon in a distributed parameter model of a spinning shaft, which is driven by a nonideal dc motor. A drive whose dynamics is influenced by the dynamics of the driven system is called a nonideal source and the whole system is referred to as a nonideal system. In particular, we show the advantages of representing such nonideal drive-system interactions in a modular manner through bond graph modeling as compared to standard equation models where the energetic couplings between dynamic variables are not explicitly shown. The developed modular bond graph model can be extended to include rotor disks and bearings placed at different locations on the shaft. Moreover, the power conserving property of the junction structure of the bond graph model is exploited to derive the source loading expressions, which are then used to analytically derive the steady-state spinning frequency and whirl orbit amplitude as functions of the drive and the rotor system parameters. We show that the higher transverse modes may become unstable before the lower ones under certain parametric conditions. The shaft spinning speed is entrained at the lowest stability threshold among all transverse modes. The bond graph model is used for numerical simulation of the system to validate the steady-state results obtained from the theoretical study.

Modeling and Simulation of Linear Dynamic Characteristic for a Giant Magnetostrictive Actuator Using Bond Graph

2012 ◽  
Vol 433-440 ◽  
pp. 7324-7332
Author(s):  
Shi Feng Hu ◽  
Shi Jian Zhu ◽  
Qi Wei He ◽  
Jing Jun Lou ◽  
Xiang Rong Xie
Keyword(s):  
Graph Model ◽  
Bond Graph ◽  
Mechanical Interaction ◽  
Output Displacement ◽  
Linear Dynamic ◽  
Graph Modeling ◽  
Simulation And Experiment ◽  
Bond Graph Modeling ◽  
Magnetostrictive Actuator ◽  
Mechanical Dynamics

The development of an new method for formulation of transduction or input and output representation for a giant magnetostrictive actuator (GMA) is presented. The transduction model is built through the application of a bond graph modeling approach which includes the mechanical dynamics and the electro-magneto-mechanical interaction of the actuator. Simulation and experiment behavior correlation are also presented. The bond graph model allows for in-depth investigation of dynamic behavior of GMA, such as energy conversion, output displacement or force and so on.

Approach of a Particle Statics Problem by Using the Bond-Graph Modeling Method

2014 ◽  
Vol 657 ◽  
pp. 599-603 ◽  
Author(s):  
Radu Ibănescu ◽  
Cătălin Ungureanu
Keyword(s):  
Numerical Solution ◽  
Equilibrium Equation ◽  
Block Diagram ◽  
Graph Model ◽  
Bond Graph ◽  
New Approach ◽  
Graph Modeling ◽  
Modelling Method ◽  
Linear Spring ◽  
Bond Graph Modeling

The paper presents a new approach to the numerical solution of a particle in equilibrium lying on a circle and subjected to the action of a linear spring. The difficulties of solving such a problem and the Mathcad and Simulink based solutions are presented in [1, 2, 3]. The most important difficulties consist in symbolically solving a forth degree trigonometric equation or in solving a complicated trigonometric inequality. This is why a numerical solution is preferred. The use of the bond graph modelling method for solving this problem of equilibrium is presented in this paper. The bond-graph modelling method is designed only for dynamics and the paper presents the possibility of its adaptation for solving this problem of statics of a particle. This approach can be then applied to solve other problems of statics. From the bond graph model the equilibrium equation and the block diagram model can be obtained. The block diagram model is usually preferred in engineering and, for this reason, the block diagram model obtained from the bond-graph model is shown in the paper together with the numerical results obtained after performing the simulations. The results are compared with those previously obtained in [2, 3].

Pseudo Bond Graph Modeling and Experimental Investigation of Thermal Transfers Inside a Household Refrigerator

2016 ◽  
Vol 24 (02) ◽  
pp. 1650014 ◽  
Author(s):  
Emna Aridhi ◽  
Mehdi Abbes ◽  
Abdelkader Mami
Keyword(s):  
Experimental Data ◽  
Experimental Investigation ◽  
Natural Convection ◽  
Graph Model ◽  
Bond Graph ◽  
Performance Comparison ◽  
Evaporator Temperature ◽  
Graph Modeling ◽  
Bond Graph Modeling ◽  
Simulation Results

This paper proposes a pseudo bond graph model of thermal transfers by natural convection inside a household refrigerator. It has two inputs: the ambient temperature and the temperature at the level of the evaporator wall. The latter assesses the functioning of the compressor cycles. A performance comparison, with the experimental data, was carried out in order to verify the model, in which, real measurements are used to modulate the evaporator temperature source. The simulation results show the effectiveness of the proposed approach.

Bond graph modeling of a jet engine with electric starter

2018 ◽  
Vol 233 (9) ◽  
pp. 3193-3210 ◽  
Author(s):  
Morteza Montazeri-Gh ◽  
Seyed Alireza Miran Fashandi
Keyword(s):  
Modeling And Simulation ◽  
System Development ◽  
Dynamic Performance ◽  
Graph Model ◽  
Systems Design ◽  
Bond Graph ◽  
Mechatronic Systems ◽  
Jet Engine ◽  
Graph Modeling ◽  
Bond Graph Modeling

Following the technological advances in recent decades, advanced electronic systems linked to the gas turbine industry are increasingly considered by the designers of this field. For this purpose, new airborne systems in conjunction with jet engines are developed, which are incorporated in many challenging design problems such as control law and configuration design. Thus, a comprehensive modeling structure is needed that can bolster the integrity of the system development such as the bond graph approach, which is known as an efficient method for modeling complicated mechatronic systems. In this paper, modeling and simulation of a jet engine dynamic performance and aircraft motion are achieved based on the bond graph approach. At first, the electric starter bond graph model is constructed and physical relationships governing each engine component are obtained. In the aftermath, the modulated energy fields are developed for the jet engine components. Subsequently, the bond graph model of the engine is numerically simulated and experimentally tested and verified for a small jet engine. Finally, bond graph modeling and simulation of integrated engine and aircraft system is presented. The test results indicate the acceptable accuracy of the modeling approach which can be applied for innovative diagnosis and control systems design.

scholarly journals Bond Graph Modeling and Validation of an Energy Regenerative System for Emulsion Pump Tests

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Yilei Li ◽  
Zhencai Zhu ◽  
Guoan Chen
Keyword(s):  
Energy Consumption ◽  
Systematic Approach ◽  
Graph Model ◽  
Bond Graph ◽  
Test System ◽  
Graph Modeling ◽  
Energy Issue ◽  
Bond Graph Modeling ◽  
Test Requirements ◽  
Space Equation

The test system for emulsion pump is facing serious challenges due to its huge energy consumption and waste nowadays. To settle this energy issue, a novel energy regenerative system (ERS) for emulsion pump tests is briefly introduced at first. Modeling such an ERS of multienergy domains needs a unified and systematic approach. Bond graph modeling is well suited for this task. The bond graph model of this ERS is developed by first considering the separate components before assembling them together and so is the state-space equation. Both numerical simulation and experiments are carried out to validate the bond graph model of this ERS. Moreover the simulation and experiments results show that this ERS not only satisfies the test requirements, but also could save at least 25% of energy consumption as compared to the original test system, demonstrating that it is a promising method of energy regeneration for emulsion pump tests.

Bond graph modeling and multi-body dynamics of a twin rotor system

2020 ◽  
Vol 235 (1) ◽  
pp. 117-144
Author(s):  
Gopisetti Srinivasarao ◽  
Arun K Samantaray ◽  
Sanjoy K Ghoshal
Keyword(s):  
Graph Model ◽  
Bond Graph ◽  
Drag Forces ◽  
Graph Modeling ◽  
Highly Nonlinear ◽  
Output System ◽  
Column Joint ◽  
Bond Graph Modeling ◽  
Multi Body ◽  
Twin Rotor

The dynamics of a twin-rotor multi-input multi-output system, which is similar to that of a helicopter in many ways, is highly nonlinear in nature. In this article, a detailed dynamical model of twin-rotor multi-input multi-output system is developed and simulated by using bond graph approach. Nonlinear nature of the interface gain, thrust, and drag forces, and the stiffness of cable attached to support column joint are estimated. The rotors are modeled through the Newton–Euler equations. The bond graph model is created by using the generic sub-models and the same set of sub-models can be assembled differently to model many other similar systems such as tricopters and quadcopters. Inertial forces and moments, rotor thrust and drag forces, active and reactive motor torques, and direct current motor dynamics are considered in the model. The responses from the model are compared with the test data for validation.

Lagrange's Equations versus Bond Graph Modeling Methodology by an Example of a Mechanical System

2015 ◽  
Vol 809-810 ◽  
pp. 914-919 ◽  
Author(s):  
Radu Ibănescu ◽  
Cătălin Ungureanu
Keyword(s):  
Mechanical System ◽  
Graphical Model ◽  
Block Diagram ◽  
Graph Model ◽  
Bond Graph ◽  
Modeling Methodology ◽  
Graph Modeling ◽  
Lagrange’S Equations ◽  
Bond Graph Modeling ◽  
Lagrange's Equations

The bond graph modeling method was discovered by Henry Painter in 1959 and has quickly become a wide spread method all over the modeling engineering world. The method is based on the analysis of power circulation in systems and has some indisputable advantages over other modeling methods, based in principle on mathematical aspects. The paper proposes a comparison between the bond graph method and Lagrange's equations method, by applying both methods to model a mechanical system. The bond graph model is a graphical model. There are three possibilities to exploit the bond-graph diagram. The first one consists in deducing a system of differential or algebraic-differential equations from the diagram. The second one consists in obtaining the block diagram model from the bond graph diagram, without additionally writing any equations, followed by the block diagram implementation in the appropriate software, which permits to perform simulations at once. The third one consists in implementing the bond graph diagram directly in the appropriate software, where simulations can immediately run. The advantages and the disadvantages of the methods are emphasized, but the decision about the most appropriate method is up to the modeler.

scholarly journals Bond Graph Modelling And Simulation of Boost ZVS Quasiresonant DC-DC Power Converter

2019 ◽  
Vol 8 (3) ◽  
pp. 5952-5957
Keyword(s):  
Graph Model ◽  
Bond Graph ◽  
Power Converter ◽  
Large Signal ◽  
Graph Models ◽  
Zero Voltage Switching ◽  
Dc Power ◽  
Graph Modeling ◽  
Steady State Model ◽  
Bond Graph Modeling

Here, a Boost Zero voltage switching (ZVS) Quasiresonant DC-DC power converter is modeled using bond graph modeling technique. The three important models of the converter which are large signal model, steady-state model and small signal AC bond graph models of the Boost ZVS Quasiresonant converter will be offered. The bond graph model is to be simulated in MATLAB/SIMULINK and the simulated waveforms are compared with that of PSIM simulated waveforms

scholarly journals Design of Zero Voltage Switching Boost DC-DC Converter Using Bond Graph Model

2020 ◽  
pp. 426-441
Author(s):  
Shaik Hussain Vali ◽  
R Kiranmayi
Keyword(s):  
Graph Model ◽  
Bond Graph ◽  
Boost Converter ◽  
Pulse Width Modulated ◽  
Zero Voltage Switching ◽  
Graph Modeling ◽  
Bond Graph Modeling ◽  
Multiple Domains ◽  
Zero Voltage ◽  
Voltage Switching

The research in power supply design is moving towards improving efficiency by reducing losses. Another aspect of research in power converters is its modeling as it involves multiple domains such as electrical, mechanical, magnetic...etc. bond graph modeling is suitable for the multi domain systems. Here, a zero voltage switching boost converter is designed using its bond graph model. The bond graph simulated results which are done in MATLAB/SIMULINK are matched with the experimental results. The efficiency of the ZVS boost converter is calculated and is compared with the efficiency of conventional pulse width modulated (PWM) boost converter.

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