Abstract
Language | English |
---|---|
Pages | 394-413 |
Number of pages | 19 |
Journal | Journal of Sound and Vibration |
Volume | 315 |
Issue number | 3 |
DOIs | |
Publication status | Published - 19 Aug 2008 |
Fingerprint
Keywords
- suspended cable
- direct numerical simulation
- analytical prediction
- reduced-order model
- internal resonance
- nonlinear forced vibration
Cite this
}
Space-time numerical simulation and validation of analytical predictions for nonlinear forced dynamics of suspended cables. / Srinil, Narakorn; Rega, Giuseppe.
In: Journal of Sound and Vibration, Vol. 315, No. 3, 19.08.2008, p. 394-413.Research output: Contribution to journal › Article
TY - JOUR
T1 - Space-time numerical simulation and validation of analytical predictions for nonlinear forced dynamics of suspended cables
AU - Srinil, Narakorn
AU - Rega, Giuseppe
PY - 2008/8/19
Y1 - 2008/8/19
N2 - This paper presents space-time numerical simulation and validation of analytical predictions for the finite-amplitude forced dynamics of suspended cables. The main goal is to complement analytical and numerical solutions, accomplishing overall quantitative/qualitative comparisons of nonlinear response characteristics. By relying on an approximate, kinematically non-condensed, planar modeling, a simply supported horizontal cable subject to a primary external resonance and a 1:1, or 1:1 vs. 2:1, internal resonance is analyzed. To obtain analytical solution, a second-order multiple scales approach is applied to a complete eigenfunction-based series of nonlinear ordinary-differential equations of cable damped forced motion. Accounting for both quadratic/cubic geometric nonlinearities and multiple modal contributions, local scenarios of cable uncoupled/coupled responses and associated stability are predicted, based on chosen reduced-order models. As a cross-checking tool, numerical simulation of the associated nonlinear partial-differential equations describing the dynamics of the actual infinite-dimensional system is carried out using a finite difference technique employing a hybrid explicit-implicit integration scheme. Based on system control parameters and initial conditions, cable amplitude, displacement and tension responses are numerically assessed, thoroughly validating the analytically predicted solutions as regards the actual existence, the meaningful role and the predominating internal resonance of coexisting/competing dynamics. Some methodological aspects are noticed, along with a discussion on the kinematically approximate versus exact, as well as planar versus non-planar, cable modeling.
AB - This paper presents space-time numerical simulation and validation of analytical predictions for the finite-amplitude forced dynamics of suspended cables. The main goal is to complement analytical and numerical solutions, accomplishing overall quantitative/qualitative comparisons of nonlinear response characteristics. By relying on an approximate, kinematically non-condensed, planar modeling, a simply supported horizontal cable subject to a primary external resonance and a 1:1, or 1:1 vs. 2:1, internal resonance is analyzed. To obtain analytical solution, a second-order multiple scales approach is applied to a complete eigenfunction-based series of nonlinear ordinary-differential equations of cable damped forced motion. Accounting for both quadratic/cubic geometric nonlinearities and multiple modal contributions, local scenarios of cable uncoupled/coupled responses and associated stability are predicted, based on chosen reduced-order models. As a cross-checking tool, numerical simulation of the associated nonlinear partial-differential equations describing the dynamics of the actual infinite-dimensional system is carried out using a finite difference technique employing a hybrid explicit-implicit integration scheme. Based on system control parameters and initial conditions, cable amplitude, displacement and tension responses are numerically assessed, thoroughly validating the analytically predicted solutions as regards the actual existence, the meaningful role and the predominating internal resonance of coexisting/competing dynamics. Some methodological aspects are noticed, along with a discussion on the kinematically approximate versus exact, as well as planar versus non-planar, cable modeling.
KW - suspended cable
KW - direct numerical simulation
KW - analytical prediction
KW - reduced-order model
KW - internal resonance
KW - nonlinear forced vibration
U2 - 10.1016/j.jsv.2007.12.026
DO - 10.1016/j.jsv.2007.12.026
M3 - Article
VL - 315
SP - 394
EP - 413
JO - Journal of Sound and Vibration
T2 - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
SN - 0022-460X
IS - 3
ER -