Evaluation of Geometrically Nonlinear Reduced-Order Models with Nonlinear Normal Modes

AIAA Journal ◽

10.2514/1.j053838 ◽

2015 ◽

Vol 53 (11) ◽

pp. 3273-3285 ◽

Author(s):

Robert J. Kuether ◽

Brandon J. Deaner ◽

Joseph J. Hollkamp ◽

Matthew S. Allen

Keyword(s):

Normal Modes ◽

Nonlinear Normal Modes ◽

Geometrically Nonlinear ◽

Reduced Order Models ◽

Reduced Order ◽

Nonlinear Normal

Download Full-text

Accurate reduced-order models for a simple rotor blade model using nonlinear normal modes

Mathematical and Computer Modelling ◽

10.1016/s0895-7177(00)00301-0 ◽

2001 ◽

Vol 33 (10-11) ◽

pp. 1085-1097 ◽

Author(s):

E. Pesheck ◽

C. Pierre ◽

S.W. Shaw

Keyword(s):

Rotor Blade ◽

Normal Modes ◽

Nonlinear Normal Modes ◽

Reduced Order Models ◽

Reduced Order ◽

Nonlinear Normal ◽

Download Full-text

Nonlinear normal modes for damped geometrically nonlinear systems: Application to reduced-order modelling of harmonically forced structures

Journal of Sound and Vibration ◽

10.1016/j.jsv.2006.06.032 ◽

2006 ◽

Vol 298 (4-5) ◽

pp. 958-981 ◽

Author(s):

C. Touzé ◽

M. Amabili

Keyword(s):

Nonlinear Systems ◽

Normal Modes ◽

Nonlinear Normal Modes ◽

Geometrically Nonlinear ◽

Reduced Order ◽

Reduced Order Modelling ◽

Nonlinear Normal

Download Full-text

Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part II: Internal resonance activation, reduced-order models and nonlinear normal modes

Nonlinear Dynamics ◽

10.1007/s11071-006-9087-z ◽

2006 ◽

Vol 48 (3) ◽

pp. 253-274 ◽

Author(s):

Narakorn Srinil ◽

Giuseppe Rega

Keyword(s):

Internal Resonance ◽

Normal Modes ◽

Nonlinear Normal Modes ◽

Reduced Order Models ◽

Reduced Order ◽

Nonlinear Normal ◽

Download Full-text

Evaluating Convergence of Reduced Order Models Using Nonlinear Normal Modes

Model Validation and Uncertainty Quantification, Volume 3 - Conference Proceedings of the Society for Experimental Mechanics Series ◽

10.1007/978-3-319-04552-8_28 ◽

2014 ◽

pp. 287-300 ◽

Author(s):

Robert J. Kuether ◽

Matthew R. Brake ◽

Mathew S. Allen

Keyword(s):

Normal Modes ◽

Nonlinear Normal Modes ◽

Reduced Order Models ◽

Reduced Order ◽

Nonlinear Normal

Download Full-text

Reduced-order models for nonlinear vibrations of fluid-filled circular cylindrical shells: Comparison of POD and asymptotic nonlinear normal modes methods

Journal of Fluids and Structures ◽

10.1016/j.jfluidstructs.2006.12.004 ◽

2007 ◽

Vol 23 (6) ◽

pp. 885-903 ◽

Author(s):

M. Amabili ◽

C. Touzé

Keyword(s):

Nonlinear Vibrations ◽

Cylindrical Shells ◽

Normal Modes ◽

Nonlinear Normal Modes ◽

Reduced Order Models ◽

Reduced Order ◽

Circular Cylindrical Shells ◽

Nonlinear Normal

Download Full-text

Reduced-Order Models: Proper Orthogonal Decomposition and Nonlinear Normal Modes

Nonlinear Vibrations and Stability of Shells and Plates ◽

10.1017/cbo9780511619694.008 ◽

2010 ◽

pp. 193-211

Author(s):

Marco Amabili

Keyword(s):

Proper Orthogonal Decomposition ◽

Normal Modes ◽

Nonlinear Normal Modes ◽

Orthogonal Decomposition ◽

Reduced Order Models ◽

Reduced Order ◽

Nonlinear Normal ◽

Proper Orthogonal

Download Full-text

Validation of Nonlinear Reduced Order Models with Time Integration Targeted at Nonlinear Normal Modes

Nonlinear Dynamics, Volume 1 - Conference Proceedings of the Society for Experimental Mechanics Series ◽

10.1007/978-3-319-15221-9_33 ◽

2016 ◽

pp. 363-375 ◽

Author(s):

Robert J. Kuether ◽

Mathew S. Allen

Keyword(s):

Time Integration ◽

Normal Modes ◽

Nonlinear Normal Modes ◽

Reduced Order Models ◽

Reduced Order ◽

Nonlinear Normal

Download Full-text

Reduced order modeling for the skin panels of hypersonic vehicles and nonlinear normal modes

The Journal of the Acoustical Society of America ◽

10.1121/1.4830710 ◽

2013 ◽

Vol 134 (5) ◽

pp. 4029-4029

Author(s):

Matthew S. Allen

Keyword(s):

Normal Modes ◽

Nonlinear Normal Modes ◽

Reduced Order Modeling ◽

Hypersonic Vehicles ◽

Reduced Order ◽

Nonlinear Normal ◽

Download Full-text

Correction: Using Nonlinear Normal Modes to Optimize the Design of Geometrically Nonlinear Structures

AIAA Scitech 2019 Forum ◽

10.2514/6.2019-0207.c1 ◽

2019 ◽

Author(s):

Chris I. VanDamme ◽

Matthew S. Allen

Keyword(s):

Normal Modes ◽

Nonlinear Normal Modes ◽

Geometrically Nonlinear ◽

Nonlinear Structures ◽

Nonlinear Normal

Download Full-text

Nonlinear Normal Modes in Finite Element Model Validation of Geometrically Nonlinear Flat and Curved Beams

56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference ◽

10.2514/6.2015-0689 ◽

2015 ◽

Author(s):

David A. Ehrhardt ◽

Matthew S. Allen ◽

Robert J. Kuether

Keyword(s):

Finite Element ◽

Finite Element Model ◽

Model Validation ◽

Normal Modes ◽

Element Model ◽

Nonlinear Normal Modes ◽

Geometrically Nonlinear ◽

Curved Beams ◽

Nonlinear Normal

Download Full-text