Global–local mean square error criterion for equivalent linearization of nonlinear systems under random excitation

Anh, Nguyen Dong; Hung, Luu Xuan; Viet, La Duc; Thang, Nguyen Cao

doi:10.1007/s00707-015-1332-4

Cited by 6 publications

(2 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where • is used as the conventional notation for averaging operator of deterministic functions. Thus the use of the global-local dual technique for LOMSEC leads to a new criterion called global-local mean square error criterion (GLOMSEC) [9,14].…”

Section: Global-local Dual Techniquementioning

confidence: 99%

“…The new development based on the dual approach to LOMSEC was suggested in [9,14] where the authors proposed a global-local mean square error criterion (GLOMSEC) to single-and multi-degree-of-freedom stochastic nonlinear systems, considering local and global levels, and thus new values of linearization coefficients are obtained as global averaged values of all local linearization coefficients. The numerical results for several nonlinear systems under white noise excitation demonstrated a significant improvement in the accuracy of solutions, especially when the nonlinearity is strong.…”

Section: Applications Of Dual Techniquesmentioning

confidence: 99%

See 1 more Smart Citation

A comprehensive review on dual approach to the vibration analysis: Some dual techniques and application

Anh¹

2020

Vietnam J. Mech.

Self Cite

View full text Add to dashboard Cite

This paper reviews key ideas of the researches on the dual approach to the vibration analysis. Three types of dual techniques, namely, forward - return dual technique, global-local dual technique, weighted averaging dual technique for the problem of equivalent replacement are summarized. Different implements and realizations of dual techniques to nonlinear vibration analysis and design of dynamic absorbers are reviewed. Finally, the challenging issues based on the dual techniques are discussed. A number of possibilities for developing analytical techniques related to dual techniques are proposed. The review shows that the dual approach is an appropriate one and the dual techniques are effective tools for studying random and deterministic nonlinear vibrational systems.

show abstract

Section: Global-local Dual Techniquementioning

confidence: 99%

Section: Applications Of Dual Techniquesmentioning

confidence: 99%