Title :
Two models of flexible beam equations: linear approximated models
Author :
Sarhan, Mohammed A.
Author_Institution :
Electr. Eng. Dept., Georgia Southern Univ., Statesboro, GA, USA
Abstract :
Two beam models are considered: An undamped beam and a flexible beam with viscous damping. Each of the two systems have control input and measured distributed output. A simple method based on Fourier series expansion is used to derive the transfer function representing each system. We truncate Fourier series to obtain an approximate transfer function representing each system. The impulse responses are obtained. The error due to approximation is derived. Examples are presented to demonstrate the accuracy of the approximation.
Keywords :
Fourier series; approximation theory; damping; flexible structures; multidimensional systems; transfer functions; Fourier series; approximation error; control input; distributed output; distributed parameter systems; flexible beam equations; impulse responses; infinite dimensional systems; linear model approximation; transfer function; undamped beam; viscous damping; Boundary conditions; Control systems; Damping; Differential equations; Distributed parameter systems; Fourier series; Large-scale systems; Linear approximation; Partial differential equations; Transfer functions;
Conference_Titel :
Control Applications, 2003. CCA 2003. Proceedings of 2003 IEEE Conference on
Print_ISBN :
0-7803-7729-X
DOI :
10.1109/CCA.2003.1223495
