PERFORMANCE OF A REGULATOR DESIGN FOR VIBRATION CONTROL OF BEAMS SUBJECTED TO MULTIPLE MOVING LOADS

ABSTRACT Performance of a regulator design for vibration control of simply supported beams subjected to multiple moving loads with constant velocity is examined. An optimal linear quadratic regulator is used in designing the control system, which can be considered as sub-optimal since the magnitudes and positions of the moving forces are not tracked at every time instant in the control process in consideration of the difficulties in actual implementation. Steady state control is considered due to continuous excitations of the moving forces on the support beam. An independent modal space control technique is applied to effectively suppress the excessive modal vibration and to reduce the computation time required to synthesize the control action. The non-linear Riccati matrix equations are solved in closed form and exact expressions for both the control input and controlled system response are given to enable swift performance evaluation of the control system. It is observed that excessive vibration of the ...

[1]  H. Leipholz,et al.  Structural Control by Pole Assignment Method , 1978 .

[2]  L Fryba,et al.  VIBRATION OF SOLIDS AND STRUCTURES UNDER MOVING LOADS (3RD EDITION) , 1999 .

[3]  Stephen P. Timoshenko,et al.  Vibration problems in engineering , 1928 .

[4]  Yih-Hwang Lin,et al.  Finite element analysis of elastic beams subjected to moving dynamic loads , 1990 .

[5]  Chong-Won Lee,et al.  DYNAMIC STABILITY AND RESPONSE OF A BEAM SUBJECT TO A DEFLECTION DEPENDENT MOVING LOAD , 1987 .

[6]  Toshio Yoshimura,et al.  Vibration analysis of non-linear beams subjected to a moving load using the finite element method , 1985 .

[7]  Arthur L. Hale,et al.  Robust Control of Self-Adjoint Distributed-Parameter Structures , 1984 .

[8]  J. C. Bruch,et al.  Displacement feedback control of beams under moving loads , 1988 .

[9]  H. Baruh,et al.  Robust natural control of distributed systems , 1985 .

[10]  Mohamed Abdel-Rohman,et al.  Active Control of Flexible Structures , 1978 .

[11]  L. Meirovitch,et al.  CONTROL OF SELF-ADJOINT DISTRIBUTED-PARAMETER SYSTEMS. , 1980 .

[12]  Toshio Yoshimura,et al.  A finite element method prediction of the vibration of a bridge subjected to a moving vehicle load , 1984 .

[13]  Mohamed Abdel-Rohman,et al.  Automatic Active Control of Structures , 1980 .

[14]  Michael Athans,et al.  Optimal Control , 1966 .

[15]  Yih-Hwang Lin,et al.  Dynamic Modeling and Analysis of a High Speed Precision Drilling Machine , 1990 .

[16]  L. Meirovitch,et al.  Robustness of the independent modal-space control method , 1983 .

[17]  Yih-Hwang Lin,et al.  ACTIVE VIBRATION SUPPRESSION OF BEAM STRUCTURES SUBJECTED TO MOVING LOADS: A FEASIBILITY STUDY USING FINITE ELEMENTS , 1993 .

[18]  Jong-Shyong Wu,et al.  AN EXACT SOLUTION FOR A SIMPLIFIED MODEL OF THE HEAVE AND PITCH MOTIONS OF A SHIP HULL DUE TO A MOVING LOAD AND A COMPARISON WITH SOME EXPERIMENTAL RESULTS , 1996 .

[19]  R. Wen.  Dynamic Response of Beams Traversed by Two-Axle Loads , 1960 .

[20]  Leonard Meirovitch,et al.  Control of Self -Adj oint Distributed-Parameter Systems , 1982 .