Parameters optimization and performance evaluation for the novel inerter-based dynamic vibration absorbers with negative stiffness

Abstract In order to enhance the performance of dynamic vibration absorber (DVA), inerter-based DVA and DVA with negative stiffness have received considerable attention in structural vibration reduction. However, the characteristic of DVA which includes inerter and negative stiffness concurrently remains unclear. In this paper, four kinds of novel inerter-based dynamic vibration absorber with negative stiffness (IN-DVAs) are proposed and analytically researched in detail. The closed-form optimal parameters of four kinds of IN-DVAs are obtained based on the classical fixed-points theory. Analysis of the optimal parameters of the IN-DVAs demonstrates that the coupling relationships between inerter and negative stiffness are distinct for various structural forms of the IN-DVAs. The comparison of the performances of IN-DVAs with those of the existing DVAs shows that IN-DVAs have superior performance. Besides, the effective frequency bandwidth is wider than those of the existing DVAs. Moreover, the results also exhibit that RIN (one of the IN-DVAs in this paper) performs the best under harmonic and random excitations.

[1]  Shaopu Yang,et al.  Analytically optimal parameters of dynamic vibration absorber with negative stiffness , 2017 .

[2]  H. Hua,et al.  Application of a dynamic vibration absorber with negative stiffness for control of a marine shafting system , 2018 .

[3]  Yun-Che Wang,et al.  Negative stiffness-induced extreme viscoelastic mechanical properties: stability and dynamics , 2004 .

[4]  J. Ormondroyd.  Theory of the Dynamic Vibration Absorber , 1928 .

[5]  Cetin Yilmaz,et al.  Design of an adaptive–passive dynamic vibration absorber composed of a string–mass system equipped with negative stiffness tension adjusting mechanism , 2013 .

[6]  Luis Vela,et al.  Closed-form solutions for the optimal design of inerter-based dynamic vibration absorbers , 2018, International Journal of Mechanical Sciences.

[7]  R. Lakes.  Extreme damping in composite materials with a negative stiffness phase. , 2001, Physical review letters.

[8]  Diego Lopez-Garcia,et al.  A bidirectional and homogeneous tuned mass damper: A new device for passive control of vibrations , 2007 .

[9]  Wenjiang Wu,et al.  Analysis and experiment of a vibration isolator using a novel magnetic spring with negative stiffness , 2014 .

[10]  R. Lakes,et al.  Dramatically stiffer elastic composite materials due to a negative stiffness phase , 2002 .

[11]  Agathoklis Giaralis,et al.  Optimal design of a novel tuned mass-damper–inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems , 2014 .

[12]  D. De Domenico,et al.  Optimal design and seismic performance of tuned mass damper inerter (TMDI) for structures with nonlinear base isolation systems , 2018, Earthquake Engineering & Structural Dynamics.

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

[14]  Chao-Chieh Lan,et al.  Design and experiment of a compact quasi-zero-stiffness isolator capable of a wide range of loads , 2014 .

[15]  Zhiyi Zhang,et al.  Vibration isolation characteristics of a nonlinear isolator using Euler buckled beam as negative stiffness corrector: A theoretical and experimental study , 2014 .

[16]  M. Ren.  A VARIANT DESIGN OF THE DYNAMIC VIBRATION ABSORBER , 2001 .

[17]  R. Lakes,et al.  Extreme damping in composite materials with negative-stiffness inclusions , 2001, Nature.

[18]  Huajiang Ouyang,et al.  A novel quasi-zero-stiffness strut and its applications in six-degree-of-freedom vibration isolation platform , 2017 .

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

[20]  A. Baz,et al.  Analytical Solutions to H∞ and H2 Optimization of Dynamic Vibration Absorbers Attached to Damped Linear Systems , 2002 .

[21]  D. De Domenico,et al.  Soil-dependent optimum design of a new passive vibration control system combining seismic base isolation with tuned inerter damper , 2018 .

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

[23]  Arcan Yanik,et al.  Control of Structural Response Under Earthquake Excitation , 2012, Comput. Aided Civ. Infrastructure Eng..

[24]  Hojjat Adeli,et al.  Tuned Mass Dampers , 2013 .

[25]  Michael C. Constantinou,et al.  Negative stiffness device for seismic protection of structures: An analytical and experimental study , 2011 .

[26]  Kyoung Kwan Ahn,et al.  Experimental investigation of a vibration isolation system using negative stiffness structure , 2011, 2011 11th International Conference on Control, Automation and Systems.

[27]  Roderic S. Lakes,et al.  Stability of negative stiffness viscoelastic systems , 2004 .

[28]  Nicholas E. Wierschem,et al.  Three-Element Vibration Absorber–Inerter for Passive Control of Single-Degree-of-Freedom Structures , 2018 .

[29]  Nicholas E. Wierschem,et al.  Optimal design of rotational inertial double tuned mass dampers under random excitation , 2018, Engineering Structures.

[30]  Michael Z. Q. Chen,et al.  Performance evaluation for inerter-based dynamic vibration absorbers , 2015 .

[31]  R. Lakes.  Extreme damping in compliant composites with a negative-stiffness phase , 2001 .

[32]  David J. Wagg,et al.  Novel fluid inerter based tuned mass dampers for optimised structural control of base-isolated buildings , 2019, Journal of the Franklin Institute.

[33]  Xiaoran Wang,et al.  Analysis and Optimization of the Novel Inerter-Based Dynamic Vibration Absorbers , 2018, IEEE Access.

[34]  Shaopu Yang,et al.  Parameters Optimization for a Kind of Dynamic Vibration Absorber with Negative Stiffness , 2016 .

[35]  D. De Domenico,et al.  Improving the dynamic performance of base‐isolated structures via tuned mass damper and inerter devices: A comparative study , 2018, Structural Control and Health Monitoring.

[36]  Kyoung Kwan Ahn,et al.  A vibration isolation system in low frequency excitation region using negative stiffness structure for vehicle seat , 2011 .

[37]  D. Inman.  Vibration control , 2018, Advanced Applications in Acoustics, Noise and Vibration.

[38]  T. Asami,et al.  H2 Optimization of the Three-Element Type Dynamic Vibration Absorbers , 2002 .

[39]  Kohju Ikago,et al.  Seismic control of single‐degree‐of‐freedom structure using tuned viscous mass damper , 2012 .

[40]  Roderic S. Lakes,et al.  Extreme stiffness systems due to negative stiffness elements , 2004 .

[41]  Hirokazu Iemura,et al.  Advances in the development of pseudo‐negative‐stiffness dampers for seismic response control , 2009 .

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

[43]  Toshihiko Asami,et al.  Analytical and Experimental Evaluation of an Air Damped Dynamic Vibration Absorber: Design Optimizations of the Three-Element Type Model , 1999 .

[44]  Xingjian Jing,et al.  Analysis and design of a nonlinear stiffness and damping system with a scissor-like structure , 2016 .

[45]  Daolin Xu,et al.  Theoretical and experimental analyses of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic , 2013 .