Recursive expressions for time dependent means and mean square responses of a multi-degree-of-freedom non-linear system

Computers & Structures ◽

10.1016/0045-7949(93)90434-f ◽

1993 ◽

Vol 48 (6) ◽

pp. 993-1000 ◽

Author(s):

C.W.S. To ◽

M.L. Liu

Keyword(s):

Linear System ◽

Degree Of Freedom ◽

Time Dependent ◽

Mean Square ◽

Non Linear System

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Response statistics of two-degree-of-freedom non-linear system to narrow-band random excitation

International Journal of Non-Linear Mechanics ◽

10.1016/s0020-7462(01)00024-5 ◽

2002 ◽

Vol 37 (6) ◽

pp. 1017-1028 ◽

Author(s):

Rong HaiWu ◽

Xu Wei ◽

Wang Xiangdon ◽

Meng Guang ◽

Fang Tong

Keyword(s):

Linear System ◽

Narrow Band ◽

Random Excitation ◽

Degree Of Freedom ◽

Non Linear System ◽

Two Degree Of Freedom

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RANDOM VIBRATIONS OF A MULTI-DEGREE-OF-FREEDOM NON-LINEAR SYSTEM USING THE VOLTERRA SERIES

Journal of Sound and Vibration ◽

10.1006/jsvi.1999.2265 ◽

1999 ◽

Vol 226 (2) ◽

pp. 397-405 ◽

Author(s):

K. WORDEN ◽

G. MANSON

Keyword(s):

Linear System ◽

Volterra Series ◽

Degree Of Freedom ◽

Random Vibrations ◽

Non Linear System

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BIFURCATION AND AMPLITUDE MODULATED MOTIONS IN A PARAMETRICALLY EXCITED TWO-DEGREE-OF-FREEDOM NON-LINEAR SYSTEM

Journal of Sound and Vibration ◽

10.1006/jsvi.1999.2473 ◽

1999 ◽

Vol 228 (5) ◽

pp. 1125-1144 ◽

Author(s):

J.-C. JI ◽

L. YU ◽

Y.-S. CHEN

Keyword(s):

Linear System ◽

Degree Of Freedom ◽

Parametrically Excited ◽

Non Linear System ◽

Two Degree Of Freedom

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THE CRITICAL INPUT WAVE FOR NON-LINEAR SYSTEM WITH ORIGIN ORIENTED HYSTERESES CONSIDERING PHASE PROPERTY : Part 3 The critical input wave for multi degree of freedom system

Journal of Structural and Construction Engineering (Transactions of AIJ) ◽

10.3130/aijs.63.37_3 ◽

1998 ◽

Vol 63 (505) ◽

pp. 37-44

Author(s):

Ryoji IWASAKI ◽

Jun KANDA

Keyword(s):

Linear System ◽

Degree Of Freedom ◽

Phase Property ◽

Non Linear System ◽

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Calculation of the non-stationary mean square response of a non-linear system subjected to non-white excitation

Journal of Sound and Vibration ◽

10.1016/0022-460x(80)90518-0 ◽

1980 ◽

Vol 73 (3) ◽

pp. 333-343 ◽

Author(s):

M. Sakata ◽

K. Kimura

Keyword(s):

Linear System ◽

Mean Square ◽

Mean Square Response ◽

Non Linear System

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Normal modes and global dynamics of a two-degree-of-freedom non-linear system—I. Low energies

International Journal of Non-Linear Mechanics ◽

10.1016/0020-7462(92)90040-e ◽

1992 ◽

Vol 27 (5) ◽

pp. 861-874 ◽

Author(s):

A.F. Vakakis ◽

R.H. Rand

Keyword(s):

Linear System ◽

Normal Modes ◽

Degree Of Freedom ◽

Global Dynamics ◽

Low Energies ◽

Non Linear System ◽

Two Degree Of Freedom

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Normal modes and global dynamics of a two-degree-of-freedom non-linear system—II. High energies

International Journal of Non-Linear Mechanics ◽

10.1016/0020-7462(92)90041-5 ◽

1992 ◽

Vol 27 (5) ◽

pp. 875-888 ◽

Author(s):

A.F. Vakakis ◽

R.H. Rand

Keyword(s):

Linear System ◽

Normal Modes ◽

Degree Of Freedom ◽

Global Dynamics ◽

High Energies ◽

Non Linear System ◽

Two Degree Of Freedom

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Resonant motions in a substantially non-linear system with one degree of freedom in the critical case

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(67)90128-0 ◽

1967 ◽

Vol 7 (6) ◽

pp. 221-230

Author(s):

L.D. Akulenko

Keyword(s):

Linear System ◽

Critical Case ◽

Degree Of Freedom ◽

Non Linear System

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Multi-objective evolutionary framework for non-linear system identification: A comprehensive investigation

Neurocomputing ◽

10.1016/j.neucom.2019.12.095 ◽

2020 ◽

Vol 386 ◽

pp. 257-280 ◽

Author(s):

Faizal Hafiz ◽

Akshya Swain ◽

Eduardo Mendes

Keyword(s):

System Identification ◽

Linear System ◽

Comprehensive Investigation ◽

Multi Objective ◽

Linear System Identification ◽

Non Linear System

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Application of He’s homotopy perturbation method for non-linear system of second-order boundary value problems

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2008.02.032 ◽

2009 ◽

Vol 10 (3) ◽

pp. 1912-1922 ◽

Author(s):

Abbas Saadatmandi ◽

Mehdi Dehghan ◽

Ali Eftekhari

Keyword(s):

Linear System ◽

Perturbation Method ◽

Boundary Value Problems ◽

Homotopy Perturbation Method ◽

Boundary Value ◽

Second Order ◽

Homotopy Perturbation ◽

Non Linear System

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