Details
| Original language | English |
|---|---|
| Pages (from-to) | 1310-1324 |
| Number of pages | 15 |
| Journal | JVC/Journal of Vibration and Control |
| Volume | 17 |
| Issue number | 9 |
| Publication status | Published - Aug 2011 |
| Externally published | Yes |
Abstract
A semi-analytical method is presented to calculate the dynamic responses of a rectangular plate due to a moving oscillator. In previous analytical solutions of the moving oscillator problem, the elastic distributed structure has usually been modeled by an elastic beam structure. This restrictive assumption is removed in this study by assuming a general plate as two-dimensional elastic distributed structure. The method can be applied for any arbitrary path on the plate. A combination of the Fourier and Laplace transformation as well as the convolution theorem is used to solve the governing differential equations of the problem. A modified integration technique is then presented to solve the coupled governing differential equations of motion. An adaptive finite element model of the system has been developed. In order to avoid the inaccurate results of the off-nodal position of the moving object, an adaptive mesh strategy is developed, thus the finite element mesh is ceaselessly adapted to follow the moving object trajectory. Illustrative examples are then shown for three different paths. Comparisons between the simulation results of the presented semi-analytical method, for specific cases, with the results of the adaptive mesh finite element method and also with the available results in the literature demonstrate the validity of the methodology.
Keywords
- Dynamic response, finite element method, moving mass, moving oscillator, rectangular plate
ASJC Scopus subject areas
- Engineering(all)
- Automotive Engineering
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Aerospace Engineering
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: JVC/Journal of Vibration and Control, Vol. 17, No. 9, 08.2011, p. 1310-1324.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Dynamic responses of a rectangular plate under motion of an oscillator using a semi-analytical method
AU - Ghafoori, Elyas
AU - Kargarnovin, Mohammad H.
AU - Ghahremani, Amir R.
PY - 2011/8
Y1 - 2011/8
N2 - A semi-analytical method is presented to calculate the dynamic responses of a rectangular plate due to a moving oscillator. In previous analytical solutions of the moving oscillator problem, the elastic distributed structure has usually been modeled by an elastic beam structure. This restrictive assumption is removed in this study by assuming a general plate as two-dimensional elastic distributed structure. The method can be applied for any arbitrary path on the plate. A combination of the Fourier and Laplace transformation as well as the convolution theorem is used to solve the governing differential equations of the problem. A modified integration technique is then presented to solve the coupled governing differential equations of motion. An adaptive finite element model of the system has been developed. In order to avoid the inaccurate results of the off-nodal position of the moving object, an adaptive mesh strategy is developed, thus the finite element mesh is ceaselessly adapted to follow the moving object trajectory. Illustrative examples are then shown for three different paths. Comparisons between the simulation results of the presented semi-analytical method, for specific cases, with the results of the adaptive mesh finite element method and also with the available results in the literature demonstrate the validity of the methodology.
AB - A semi-analytical method is presented to calculate the dynamic responses of a rectangular plate due to a moving oscillator. In previous analytical solutions of the moving oscillator problem, the elastic distributed structure has usually been modeled by an elastic beam structure. This restrictive assumption is removed in this study by assuming a general plate as two-dimensional elastic distributed structure. The method can be applied for any arbitrary path on the plate. A combination of the Fourier and Laplace transformation as well as the convolution theorem is used to solve the governing differential equations of the problem. A modified integration technique is then presented to solve the coupled governing differential equations of motion. An adaptive finite element model of the system has been developed. In order to avoid the inaccurate results of the off-nodal position of the moving object, an adaptive mesh strategy is developed, thus the finite element mesh is ceaselessly adapted to follow the moving object trajectory. Illustrative examples are then shown for three different paths. Comparisons between the simulation results of the presented semi-analytical method, for specific cases, with the results of the adaptive mesh finite element method and also with the available results in the literature demonstrate the validity of the methodology.
KW - Dynamic response
KW - finite element method
KW - moving mass
KW - moving oscillator
KW - rectangular plate
UR - http://www.scopus.com/inward/record.url?scp=79960681794&partnerID=8YFLogxK
U2 - 10.1177/1077546309358957
DO - 10.1177/1077546309358957
M3 - Article
AN - SCOPUS:79960681794
VL - 17
SP - 1310
EP - 1324
JO - JVC/Journal of Vibration and Control
JF - JVC/Journal of Vibration and Control
SN - 1077-5463
IS - 9
ER -