Modeling, Testing, and Characteristic Analysis of a Planetary Flywheel Inerter

We propose the planetary flywheel inerter, which is a new type of ball screw inerter. A planetary flywheel consists of several planetary gears mounted on a flywheel bracket. When the flywheel bracket is driven by a screw and rotating, each planetary gear meshing with an outer ring gear generates a compound motion composed of revolution and rotation. Theoretical analysis shows that the output force of the planetary flywheel inerter is proportional to the relative acceleration of one terminal of the inerter to the other. Optimizing the gear ratio of the planetary gears to the ring gear allows the planetary flywheel to be lighter than its traditional counterpart, without any loss on the inertance. According to the structure of the planetary flywheel inerter, nonlinear factors of the inerter are analyzed, and a nonlinear dynamical model of the inerter is established. Then the parameters in the model are identified and the accuracy of the model is validated by experiment. Theoretical analysis and experimental data show that the dynamical characteristics of a planetary flywheel inerter and those of a traditional flywheel inerter are basically the same. It is concluded that a planetary flywheel can completely replace a traditional flywheel, making the inerter lighter.

[1]  F-C Wang,et al.  Building suspensions with inerters , 2010 .

[2]  Guanrong Chen,et al.  Realizations of biquadratic impedances as five-element bridge networks containing one inductor and one capacitor , 2014, Proceedings of the 33rd Chinese Control Conference.

[3]  Malcolm C. Smith.  Synthesis of mechanical networks: the inerter , 2002, IEEE Trans. Autom. Control..

[4]  Long Chen,et al.  Modeling and Optimization of Vehicle Suspension Employing a Nonlinear Fluid Inerter , 2016 .

[5]  F-C Wang,et al.  Designing and testing a hydraulic inerter , 2011 .

[6]  Fu-Cheng Wang,et al.  Inerter Nonlinearities and the Impact on Suspension Control , 2008, 2008 American Control Conference.

[7]  Zhan Shu,et al.  Passive vehicle suspensions employing inerters with multiple performance requirements , 2014 .

[8]  L. Pires,et al.  Design trade-offs for energy regeneration and control in vehicle suspensions , 2013, Int. J. Control.

[9]  M.C. Smith,et al.  The missing mechanical circuit element , 2009, IEEE Circuits and Systems Magazine.

[10]  Béla Lantos,et al.  Control of mechanical systems with Stribeck friction and backlash , 2009, Syst. Control. Lett..

[11]  Ming Liang,et al.  Vibration suppression using two-terminal flywheel. Part I: Modeling and characterization , 2012 .

[12]  Thanh-Tung Tran,et al.  Advanced Passive Suspension with Inerter Devices and Optimization Design for Vehicle Oscillation , 2015 .

[13]  S. Evangelou,et al.  Control of motorcycle steering instabilities , 2006, IEEE Control Systems.

[14]  Jan Holnicki-Szulc,et al.  Adaptive inertial shock-absorber , 2016 .

[15]  Masaki Yamakita,et al.  Analysis and experiment of flat-footed passive dynamic walker with ankle inerter , 2011, 2011 IEEE International Conference on Robotics and Biomimetics.

[16]  Malcolm C. Smith,et al.  Design and modelling of a fluid inerter , 2013, Int. J. Control.

[17]  Fu-Cheng Wang,et al.  Performance Benefits in Passive Vehicle Suspensions Employing Inerters , 2004 .

[18]  Simos A. Evangelou,et al.  Control of motorcycle steering instabilities: Passive mechanical compensators incorporating inerters , 2006 .

[19]  M.C. Smith,et al.  Laboratory experimental testing of inerters , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[20]  Fu-Cheng Wang,et al.  Performance benefits in passive vehicle suspensions employing inerters , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[21]  Kai Wang,et al.  Synthesis of biquadratic impedances with at most four passive elements , 2014, J. Frankl. Inst..

[22]  James Lam,et al.  Realization of a Special Class of Admittances with One Damper and One Inerter for Mechanical Control , 2013, IEEE Transactions on Automatic Control.

[23]  Xiaofeng Yang,et al.  Performance investigation of vehicle suspension system with nonlinear ball-screw inerter , 2016 .

[24]  Fu-Cheng Wang,et al.  Vehicle suspensions with a mechatronic network strut , 2011 .

[25]  Daniel J. Inman,et al.  Assessing the effect of nonlinearities on the performance of a tuned inerter damper , 2017 .

[26]  Ming Liang,et al.  Design, Modeling and Testing of a Two-Terminal Mass Device With a Variable Inertia Flywheel , 2016 .

[27]  Shengyuan Xu,et al.  Semiactive Inerter and Its Application in Adaptive Tuned Vibration Absorbers , 2017, IEEE Transactions on Control Systems Technology.

[28]  P. Brzeski,et al.  Novel type of tuned mass damper with inerter which enables changes of inertance , 2015 .

[29]  Per-Olof Gutman,et al.  New models for backlash and gear play , 1997 .

[30]  Long Chen,et al.  Improved design of dynamic vibration absorber by using the inerter and its application in vehicle suspension , 2016 .

[31]  Ahmet Kahraman,et al.  Natural Modes of Planetary Gear Trains , 1994 .