Advanced state space modeling of non-proportional damped machine tool mechanics

Materials in machine tool structures

“…Jedrzejewski et al presented a hybrid model including the finite element method (FEM) and the finite difference method for analyzing the thermal, stiffness and durability aspects of machines [134]. Neugebauer et al introduced an advanced statespace modeling approach to describe non-proportional material and structural damping such as given by fiber reinforced materials [204]. The computation of composite or hybrid and combined materials requires material models at the micro level and structure models at the macro level.…”

“…An extensive overview of different simulation approaches and FEA types (linear/non-linear static, dynamic, thermal) is given by Altintas et al [9]. Several approaches describe the elastic behavior of machine structures by mass-spring-damper models [35,52], (flexible) multi-body models [32,156,178], transfer functions or state-space representations [34,204], which can be derived by modal reduction from numerical calculations or obtained from experiments in order to increase computational efficiency. Jedrzejewski et al presented a hybrid model including the finite element method (FEM) and the finite difference method for analyzing the thermal, stiffness and durability aspects of machines [134].…”

Damage localization in shear buildings by direct updating of physical properties

“…Otherwise, modal data will be complex quantities. Complex modal parameters in either experimental or theoretical models indicate the presence of damping in the structures, which should be considered in the simulation method (Balmes 1997;Fuellekrug 2008;Neugebauer et al 2010). Since complex modal data are impractical in the system identification and damage detection processes, real modal parameters should be extracted from complex modes.…”