Details
| Original language | English |
|---|---|
| Pages (from-to) | 66-74 |
| Number of pages | 9 |
| Journal | International Journal of Non-Linear Mechanics |
| Volume | 66 |
| Publication status | Published - 26 Mar 2014 |
Abstract
The effect of a static preload on the non-linear vibration behaviour of laminated anisotropic shells is studied. Starting point of the analysis is a perturbation approach developed earlier to analyse the non-linear vibration behaviour of imperfect general structures under static preloading. This method is based on a perturbation expansion for both the frequency parameter and the dependent variables, and can be used to study the effects of geometric imperfections, a static fundamental state, and a non-trivial static state on the linearised and non-linear vibrations of cylindrical shells. The theory has been incorporated within a semi-analytical framework, based on Donnell-type governing equations. The approach is applied in the non-linear vibration analysis of laminated, anisotropic cylindrical shells. Special characteristics of the non-linear free vibration behaviour of statically, axially loaded cylindrical shells are shown for a specific composite shell. Internal resonances corresponding to interactions between first order modes and second order modes are found in the analysis. Novel aspect of the current work is that these phenomena are considered within a framework in which effects of various types of boundary conditions, including the effect of non-linear static state deformation due to the application of the static load, are accurately taken into account.
Keywords
- Non-linear vibration, Perturbation method, Shell structures
ASJC Scopus subject areas
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal of Non-Linear Mechanics, Vol. 66, 26.03.2014, p. 66-74.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Non-linear free vibration analysis of laminated cylindrical shells under static axial loading including accurate satisfaction of boundary conditions
AU - Jansen, E. L.
AU - Rolfes, R.
PY - 2014/3/26
Y1 - 2014/3/26
N2 - The effect of a static preload on the non-linear vibration behaviour of laminated anisotropic shells is studied. Starting point of the analysis is a perturbation approach developed earlier to analyse the non-linear vibration behaviour of imperfect general structures under static preloading. This method is based on a perturbation expansion for both the frequency parameter and the dependent variables, and can be used to study the effects of geometric imperfections, a static fundamental state, and a non-trivial static state on the linearised and non-linear vibrations of cylindrical shells. The theory has been incorporated within a semi-analytical framework, based on Donnell-type governing equations. The approach is applied in the non-linear vibration analysis of laminated, anisotropic cylindrical shells. Special characteristics of the non-linear free vibration behaviour of statically, axially loaded cylindrical shells are shown for a specific composite shell. Internal resonances corresponding to interactions between first order modes and second order modes are found in the analysis. Novel aspect of the current work is that these phenomena are considered within a framework in which effects of various types of boundary conditions, including the effect of non-linear static state deformation due to the application of the static load, are accurately taken into account.
AB - The effect of a static preload on the non-linear vibration behaviour of laminated anisotropic shells is studied. Starting point of the analysis is a perturbation approach developed earlier to analyse the non-linear vibration behaviour of imperfect general structures under static preloading. This method is based on a perturbation expansion for both the frequency parameter and the dependent variables, and can be used to study the effects of geometric imperfections, a static fundamental state, and a non-trivial static state on the linearised and non-linear vibrations of cylindrical shells. The theory has been incorporated within a semi-analytical framework, based on Donnell-type governing equations. The approach is applied in the non-linear vibration analysis of laminated, anisotropic cylindrical shells. Special characteristics of the non-linear free vibration behaviour of statically, axially loaded cylindrical shells are shown for a specific composite shell. Internal resonances corresponding to interactions between first order modes and second order modes are found in the analysis. Novel aspect of the current work is that these phenomena are considered within a framework in which effects of various types of boundary conditions, including the effect of non-linear static state deformation due to the application of the static load, are accurately taken into account.
KW - Non-linear vibration
KW - Perturbation method
KW - Shell structures
UR - http://www.scopus.com/inward/record.url?scp=84907052831&partnerID=8YFLogxK
U2 - 10.1016/j.ijnonlinmec.2014.03.004
DO - 10.1016/j.ijnonlinmec.2014.03.004
M3 - Article
AN - SCOPUS:84907052831
VL - 66
SP - 66
EP - 74
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
SN - 0020-7462
ER -