TY - GEN
T1 - Exact decoupling of non-classically damped matrix second-order linear mechanical systems
AU - Radisavljevic, Verica
AU - Skataric, Dobrila
PY - 2010
Y1 - 2010
N2 - Matrix second-order damped linear dynamic systems are frequently encountered in mechanical, structural, civil, aerospace engineering, and related fields. This class of systems is also obtained by approximating dynamics of systems described by partial differential equations (distributed parameter systems). There are many papers in the engineering literature on analysis and control of matrix second-order linear damped systems. They provide cither approximate (simplified) analytical results or accurate numerical results (usually computationally involved). In this paper, we show how to decouple exactly a matrix second-order linear system into scalar second-order subsystems and study exactly the corresponding system dynamics at the subsystem level using simple analytical tools. Conditions are established under which the presented procedure is applicable. An example is included to demonstrate the efficiency of the proposed technique.
AB - Matrix second-order damped linear dynamic systems are frequently encountered in mechanical, structural, civil, aerospace engineering, and related fields. This class of systems is also obtained by approximating dynamics of systems described by partial differential equations (distributed parameter systems). There are many papers in the engineering literature on analysis and control of matrix second-order linear damped systems. They provide cither approximate (simplified) analytical results or accurate numerical results (usually computationally involved). In this paper, we show how to decouple exactly a matrix second-order linear system into scalar second-order subsystems and study exactly the corresponding system dynamics at the subsystem level using simple analytical tools. Conditions are established under which the presented procedure is applicable. An example is included to demonstrate the efficiency of the proposed technique.
UR - https://www.scopus.com/pages/publications/77954281052
U2 - 10.1115/IMECE2009-13056
DO - 10.1115/IMECE2009-13056
M3 - Conference contribution
AN - SCOPUS:77954281052
SN - 9780791843833
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings
SP - 1093
EP - 1100
BT - Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009
Y2 - 13 November 2009 through 19 November 2009
ER -