TY - CHAP
T1 - Elements of Nonlinear System Identification of Broad Applicability
AU - Vakakis, A. F.
N1 - Publisher Copyright:
© 2014, CISM, Udine.
PY - 2014
Y1 - 2014
N2 - Linear modal analysis in the time and frequency domains is well established. Yet, as mechanical systems become increasingly more complex, incorporating electromechanical components or biological and biomimetic elements, the likelihood exists that their dynamics will be strongly nonlinear and nonstationary. Examples of sources of strong nonlinearity, some of which are realized even for small amplitudes of vibration) include local buckling, plastic deformations, clearance and backlash, hysteresis, friction-induced oscillations, and vibro-impact motions. Such effects cannot be accurately addressed by linear modal analysis, since standard techniques, such as the classical FT, and well-established concepts such as normal mode, natural frequency, and modal space cannot be applied to the identification of nonlinear and nonstationary dynamic regimes.
AB - Linear modal analysis in the time and frequency domains is well established. Yet, as mechanical systems become increasingly more complex, incorporating electromechanical components or biological and biomimetic elements, the likelihood exists that their dynamics will be strongly nonlinear and nonstationary. Examples of sources of strong nonlinearity, some of which are realized even for small amplitudes of vibration) include local buckling, plastic deformations, clearance and backlash, hysteresis, friction-induced oscillations, and vibro-impact motions. Such effects cannot be accurately addressed by linear modal analysis, since standard techniques, such as the classical FT, and well-established concepts such as normal mode, natural frequency, and modal space cannot be applied to the identification of nonlinear and nonstationary dynamic regimes.
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U2 - 10.1007/978-3-7091-1791-0_7
DO - 10.1007/978-3-7091-1791-0_7
M3 - Chapter
AN - SCOPUS:85051931962
T3 - CISM International Centre for Mechanical Sciences, Courses and Lectures
SP - 293
EP - 324
BT - CISM International Centre for Mechanical Sciences, Courses and Lectures
PB - Springer
ER -