Dynamic control of beams acted by multiple moving masses in resonance state using piezo-ceramic actuators

In this article the constitutive equation of an Euler-Bernoulli beam, excited by multiple moving masses is considered. A set of multiple piezo-ceramic actuators is used to harness the dynamic response of the beam. In this regard the beam response is suppressed by utilizing a linear control algorithm with a time varying gain matrix and displacement-velocity feedback. The efficiency of the results is investigated through the numerical analysis of an example problem.

[1]  Fayaz R. Rofooei,et al.  Decentralized control of tall buildings , 2006 .

[2]  Fayaz R. Rofooei,et al.  Optimal hybrid control of structures under earthquake excitation , 1992 .

[3]  Jann N. Yang,et al.  New Optimal Control Algorithms for Structural Control , 1987 .

[4]  Fayaz R. Rofooei,et al.  Dynamic behavior and modal control of beams under moving mass , 2007 .

[5]  Chi-Chang Lin,et al.  Vibration suppression for high-speed railway bridges using tuned mass dampers , 2003 .

[6]  Massood Mofid,et al.  Closure of "Numerical Solution for Response of Beams With Moving Mass" , 1991 .

[7]  L. Meirovitch.  Principles and techniques of vibrations , 1996 .

[8]  Massood Mofid,et al.  Investigation of critical influential speed for moving mass problems on beams , 2009 .

[9]  B. F. Spencer,et al.  Active Structural Control: Theory and Practice , 1992 .

[10]  T. Mazilu,et al.  On the dynamics of interaction between a moving mass and an infinite one-dimensional elastic structure at the stability limit , 2011 .

[11]  G. Visweswara Rao,et al.  Linear Dynamics of an Elastic Beam Under Moving Loads , 2000 .

[12]  Y.-G. Sung.  MODELLING AND CONTROL WITH PIEZOACTUATORS FOR A SIMPLY SUPPORTED BEAM UNDER A MOVING MASS , 2002 .

[13]  Pennung Warnitchai,et al.  Dynamic analysis of three-dimensional bridge–high-speed train interactions using a wheel–rail contact model , 2009 .

[14]  Massood Mofid,et al.  Discrete element response of beams with traveling mass , 1996 .

[15]  M. Mofid,et al.  On the response of beams with internal hinges, under moving mass , 2000 .

[16]  A. V. Kononov,et al.  Instability analysis of vibrations of a uniformly moving mass in one and two-dimensional elastic systems , 2002 .

[17]  Lianhua Wang,et al.  Modelling and transient planar dynamics of suspended cables with moving mass , 2010 .