TY - GEN
T1 - Multi-Input Shaping for a Multi-Mode Vibratory Structure using Deadbeat Control Theory
AU - Sinha, Alok
N1 - Publisher Copyright:
© 2022 by ASME.
PY - 2022
Y1 - 2022
N2 - A general approach of the multi-input shaping for an underdamped flexible structure is developed using the deadbeat control theory, which states that a discrete-time system can be made to reach the desired position in a minimum time by placing all the poles at the origin of z-plane. It is shown that this theory can also be used to minimize sensitivities to uncertainties in natural frequencies and modal damping ratios. Numerical results are presented for a spring mass model, and a finite element model of a tetrahedral truss structure. These examples deal with cases of number of inputs being equal to number of modes, and also non-integer ratio of numbers of states and inputs.
AB - A general approach of the multi-input shaping for an underdamped flexible structure is developed using the deadbeat control theory, which states that a discrete-time system can be made to reach the desired position in a minimum time by placing all the poles at the origin of z-plane. It is shown that this theory can also be used to minimize sensitivities to uncertainties in natural frequencies and modal damping ratios. Numerical results are presented for a spring mass model, and a finite element model of a tetrahedral truss structure. These examples deal with cases of number of inputs being equal to number of modes, and also non-integer ratio of numbers of states and inputs.
UR - https://www.scopus.com/pages/publications/85142645682
UR - https://www.scopus.com/pages/publications/85142645682#tab=citedBy
U2 - 10.1115/DETC2022-89788
DO - 10.1115/DETC2022-89788
M3 - Conference contribution
AN - SCOPUS:85142645682
T3 - Proceedings of the ASME Design Engineering Technical Conference
BT - 34th Conference on Mechanical Vibration and Sound (VIB)
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2022
Y2 - 14 August 2022 through 17 August 2022
ER -