Nonlinear Dynamic System Theory Archives

Nelson Woo In Nonlinear Dynamic System Theory, Research

Modeling planar slider-crank mechanisms with clearance joints in RecurDyn

Alexander Gummer, Bernd Sauer, Multibody System Dynamics, February 2014, Volume 31, Issue 2, pp. 127-145.

Abstract

Revolute joints in applications always show clearance between pin and bushing due to manufacturing tolerances, the need of relative motion or progressing wear. Many researchers developed and investigated methodologies to calculate the dynamic behavior of mechanisms with such imperfect joints. Very often they use a simple slider-crank mechanism to test or demonstrate the capability of their approaches. In this paper, a methodology for simulating a slider-crank mechanism with an imperfect revolute joint in RecurDyn, a commercial multibody simulation tool, is presented. Therefore, a thorough investigation of existing contact, damping and friction force models as well as different ways of modeling revolute joints in RecurDyn was conducted. For the investigation of the damping models, a special program for calculating the model parameters for a given coefficient of restitution was developed. Only one damping model was capable of reproducing the experimental results, which were found in literature. Some characteristic results of the slider-crank mechanism are presented in a way that they can be compared to results in other papers. Thereby. a good correlation was achieved, demonstrating the capabilities of the methodology.

How Multibody Dynamics Simulation Technology is Used

A method to analyze imperfect revolute joints in RecurDyn was proposed. The capabilities of the method were demonstrated through achieving a good correlation with experimental results of a slider-crank mechanism.

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- http://link.springer.com/article/10.1007/s11044-012-9339-2
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Nelson Woo In Nonlinear Dynamic System Theory, Research

Dynamics and Control Research of Rotary Table Based on Virtual Prototype

Zifan Fang, Dexin Wu, Huapan Xiao, Hui Li, Kongde He, Weihua Yang, Intelligent Human-Machine Systems and Cybernetics (IHMSC) 5th International Conference, Hangzhou, August 2013, Volume 2, pp. 457-462.

Abstract

A rotary platform is studied in this paper. The control method of its electromechanical transmission system is studied by using virtual prototype technology and control technology. Virtual prototype model of rotary platform is established in the Gear subsystem of RecurDyn, Based on the Hertz elastic contact theory. A feed-forward link and three-ring control system which are position, speed and current control link are designed in Colink. And then, the mechanical and control simulation model is set up. The response of the typical position command signal is analyzed. The simulation results show that the control method has effective engineering application, and the method can satisfy the objective of engineering control, providing a reference for the design and analysis of other electromechanical transmission control system.

How Multibody Dynamics Simulation Technology is Used

A control method of a mechatronic transmission system is studied in this paper. The dynamic performance of the system was simulated in RecurDyn to demonstrate the effectiveness of the control method. The gear toolkit within RecurDyn simplifies the process of creating a model of a gear subsystem while CoLink provides a convenient built in method to test a control method directly on the virtual prototype.

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- http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6642784&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D6642784
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Nelson Woo In Nonlinear Dynamic System Theory, Research

Dynamics and control of a spatial rigid-flexible multibody system with multiple cylindrical clearance joints

Cheng Liu, Qiang Tian, Haiyan Hu, Mechanism and Machine Theory, June 2012, Volume 52, pp 106-129.

Abstract

The dynamics and control of a rigid-flexible multibody system with multiple cylindrical clearance joints are studied via the Absolute Coordinate Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) describing flexible bodies. The spatial cylindrical joints with clearances are modeled by two rigid bodies, that is, the journal and bearing, where the difference in radius and axial directions defines the radial clearance and axial clearance, respectively. A new four-point contact kinematic model of NCF is proposed for the rigid cylindrical clearance joint. A combined control scheme consisting of a feedforward torque and a PID feedback controller is adopted to track the joint trajectories. Based on the principle of virtual work, a new and simple method is proposed to evaluate the feedforward torque. To improve computational efficiency, an OpenMP based parallel computational strategy is used to solve the large scale equations of motion. Three examples are given to verify the effectiveness of the proposed formulations and demonstrate the complex dynamics of rigid-flexible multibody systems with multiple cylindrical clearance joints.

How Multibody Dynamics Simulation Technology is Used

RecurDyn has the capability of simulating the multibody dynamics of rigid and flexible bodies using the FFlex module. In this paper, RecurDyn is used to analyze a rigid-multibody system with multiple cylindrical clearance joints. RecurDyn simulations agree well with a simplified model proposed by the author and provide validity to both methods used to analyze cylindrical clearance joints.

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- http://www.sciencedirect.com/science/article/pii/S0094114X12000262
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Nelson Woo In Nonlinear Dynamic System Theory, Research

Simulation tool design for the two-axis nano stage of lithography systems

Jongchul Jung , Kunsoo Huhb, Mechatronics, August 2010, Volume 20, Issue 5, pp. 574-581.

Abstract

For advanced electron beam lithography systems, a simulation tool for a two-axis nano stage is developed in this paper. The stage is equipped with piezo-actuators and flexure guides. Even if piezo-actuators are believed to be feasible for realizing nano scale motions, it is difficult to predict their characteristics due to their nonlinearities such as hysteresis and creep. In this paper, the nonlinear properties are modeled considering the input conditions. In detail, the hysteresis is described as a first order differential equation with 24 sets of the hysteresis parameters and the creep is modeled as a time-dependent logarithmic function with two sets of creep parameters. The characteristics of the flexure guides are analyzed using the finite element method and are embodied into a multi-body-dynamics simulation tool. The dynamic behavior of the simulation tool is compared with the experimental data.

How Multibody Dynamics Simulation Technology is Used

RecurDyn is used to simulate two-axis nano stages equipped with piezo-actuators and flexure guides. Modal data is obtained using ANSYS and then interfaced with RecurDyn. The accuracy was verified using experimental data. This verified model can now be used to test design improvements in rapid succession.

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- http://www.sciencedirect.com/science/article/pii/S0957415810001054
Related Case Studies
- Modelling of Gear Meshing: A Numerical Approach for Dynamic Behavior Estimation of Thin Gears

Nelson Woo In Nonlinear Dynamic System Theory, Research

A multibody-based dynamic simulation method for electrostatic actuators

Sangkyu Lee, Jinam Kim, Wonkyu Moon, Jinhwan Choi, Ilhan Park, Daesung Bae, Nonlinear Dynamics, October 2008, Volume 54, Issue 1, pp 53-68.

Abstract

A numerical simulation method is developed to analyze the dynamic responses of electrostatic actuators, which are electromechanically-coupled systems. The developed method can be used to determine the dynamic responses of cantilever-type switches, which are an example of typical MEMS (Micro-Electro-Mechanical System) devices driven by an electrostatic force. We propose the approach that adopts a point charge to deal with electric field effects between electrodes. This approach may be considered as a lumped parameter model for the electrostatic interactions. An advantage of this model may be the easy incorporation of the electrostatic effects between electrodes into a multibody dynamics analysis algorithm. The resulting equations contain the variables for position, velocity, and electric charge to describe the motion of the masses and the charges on the electrodes in a system. By solving these equations simultaneously, the dynamic response of an electrostatically-driven system can be correctly simulated. In order to realize this approach, we implement the procedures into RecurDyn, the multibody dynamics software developed by the authors. The developed numerical simulation tool was evaluated by applying it to cantilever-type electrostatic switches in many different driving conditions. The results suggest that the developed tool may be useful for predicting behaviors of electrostatic actuators in testing as well as in design.

How Multibody Dynamics Simulation Technology is Used

This paper proposes a method to simulate the dynamic behaviors of structures driven by electrostatic forces. This approach provides dynamic simulation results that describe the effects of large deformations of a structure and the electromechanical coupling inside a system. RecurDyn’s FFlex module allows finite element bodies to be analyzed during multibody dynamics simulations.

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- http://link.springer.com/article/10.1007/s11071-007-9268-4
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Nelson Woo In Nonlinear Dynamic System Theory, Research

Integrated development platform for design of fuzzy inference system using RecurDyn and Simulink

Chang-Woo Hong, Gyu-Jong Choi, Doo-Sung Ahn, SICE-ICASE International Joint Conference, Busan, October 2006, pp. 5643-5648.

Abstract

In this paper, a platform is proposed to efficiently design the controller using RecurDyn (multi-body dynamic analysis software) and SIMULINK. The proposed platform consists of two parts. One is to model the plant’s dynamic property using RecurDyn. The other is controller design using SIMULINK. We can implement with co-simulation through the combination of RecurDyn and SIMULINK. This platform enables us to design a controller quickly and efficiently than using only ‘Matlab’ through the adaptation of RecurDyn that calculate precisely the plant’s dynamic property. In this paper, a control target is inverted pendulum system and proposed platform has been verified through the design process for the fuzzy controller and the control capability of it.

How Multibody Dynamics Simulation Technology is Used

A method is proposed for the design of a fuzzy inference system using RecurDyn and Simulink. A co-simulation with RecurDyn and Simulink can simplify the process of designing a controller by simulating a control method without the need for a costly prototype.

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- http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=4108582&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D4108582
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Nelson Woo In Nonlinear Dynamic System Theory, Research

Accelerated Drop Test Simulation using Relative Coordinate Solution and Finite Element Method

Jisong Sun, Youcheng Li, Eng Hong Ong, 2004, Asia-Pacific Magnetic Recording Conference, APMRC, Soeul, August 2004, pp 56-57.

Abstract

Shock resistance of hard disk drives (HDDs) tends to be a critical issue with the rapid growth of portable consumer electronics such as notebooks, PDAs, and digital cameras. Finite element method (FEM) is widely used in simulating drop test. However, it is computationally expensive. An accelerated drop test method, which adopts relative coordinate and recursive solutions, is developed. The computational time is drastically reduced without suffering a significant loss in accuracy. By adopting this method, designers can evaluate the shock resistance of a HDD quickly so that they can have more time to optimize the shock performance of HDDs. Moreover, they can simulate the whole process, instead of simulating just a brief moment of head-disk collision.

How Multibody Dynamics Simulation Technology is Used

RecurDyn reduced computation time for drop tests of hard disk drives while obtaining similar levels of accuracy compared to nonlinear FEA. Computational time for the entire model was reduced from over 1 day to ½ hour.

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- http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=1521948&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D1521948
Related Case Studies

Nonlinear Dynamic System Theory

Modeling planar slider-crank mechanisms with clearance joints in RecurDyn

Modeling planar slider-crank mechanisms with clearance joints in RecurDyn

Alexander Gummer, Bernd Sauer, Multibody System Dynamics, February 2014, Volume 31, Issue 2, pp. 127-145.

Abstract

How Multibody Dynamics Simulation Technology is Used

Get This Paper

Related Case Studies

Dynamics and Control Research of Rotary Table Based on Virtual Prototype

Dynamics and Control Research of Rotary Table Based on Virtual Prototype

Zifan Fang, Dexin Wu, Huapan Xiao, Hui Li, Kongde He, Weihua Yang, Intelligent Human-Machine Systems and Cybernetics (IHMSC) 5th International Conference, Hangzhou, August 2013, Volume 2, pp. 457-462.

Abstract

How Multibody Dynamics Simulation Technology is Used

Get This Paper

Related Case Studies

Dynamics and control of a spatial rigid-flexible multibody system with multiple cylindrical clearance joints

Dynamics and control of a spatial rigid-flexible multibody system with multiple cylindrical clearance joints

Cheng Liu, Qiang Tian, Haiyan Hu, Mechanism and Machine Theory, June 2012, Volume 52, pp 106-129.

Abstract

How Multibody Dynamics Simulation Technology is Used

Get This Paper

Related Case Studies

Simulation tool design for the two-axis nano stage of lithography systems

Simulation tool design for the two-axis nano stage of lithography systems

Jongchul Jung , Kunsoo Huhb, Mechatronics, August 2010, Volume 20, Issue 5, pp. 574-581.

Abstract

How Multibody Dynamics Simulation Technology is Used

Get This Paper

Related Case Studies

A multibody-based dynamic simulation method for electrostatic actuators

A multibody-based dynamic simulation method for electrostatic actuators

Sangkyu Lee, Jinam Kim, Wonkyu Moon, Jinhwan Choi, Ilhan Park, Daesung Bae, Nonlinear Dynamics, October 2008, Volume 54, Issue 1, pp 53-68.

Abstract

How Multibody Dynamics Simulation Technology is Used

Get This Paper

Related Case Studies

Integrated development platform for design of fuzzy inference system using RecurDyn and Simulink

Integrated development platform for design of fuzzy inference system using RecurDyn and Simulink

Chang-Woo Hong, Gyu-Jong Choi, Doo-Sung Ahn, SICE-ICASE International Joint Conference, Busan, October 2006, pp. 5643-5648.

Abstract

How Multibody Dynamics Simulation Technology is Used

Get This Paper

Related Case Studies

Accelerated Drop Test Simulation using Relative Coordinate Solution and Finite Element Method

Accelerated Drop Test Simulation using Relative Coordinate Solution and Finite Element Method

Jisong Sun, Youcheng Li, Eng Hong Ong, 2004, Asia-Pacific Magnetic Recording Conference, APMRC, Soeul, August 2004, pp 56-57.

Abstract

How Multibody Dynamics Simulation Technology is Used

Get This Paper

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