Abstract
A classical method for obtaining the exact natural frequencies, natural modes, orthogonality relation and response due to arbitrary loading of undamped beam-oscillator systems presented earlier by the writers is extended to viscously damped plate-oscillator systems. The natural modes are expressed in terms of the Green's function for the vibrating plate. Damping is present in both the plate and oscillators. Modal analysis allows the determination of a closed form expression for the system response to arbitrary loading. Oscillators attached to a simply supported rectangular plate have been considered, but the method is applicable to any plate-oscillator system, provided the Green's function for the undamped vibrating plate is known. An example involving a single oscillator attached to the plate shows the natural frequencies, natural modes and response due to two special types of loading.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 14-30 |
| Number of pages | 17 |
| Journal | Journal of Engineering Mechanics |
| Volume | 112 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 1986 |
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ASJC Scopus subject areas
- Mechanics of Materials
- Mechanical Engineering
Cite this
Vibration of damped plate-oscillator systems. / Nicholson, James W.; Bergman, Lawrence.
In: Journal of Engineering Mechanics, Vol. 112, No. 1, 01.01.1986, p. 14-30.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Vibration of damped plate-oscillator systems
AU - Nicholson, James W.
AU - Bergman, Lawrence
PY - 1986/1/1
Y1 - 1986/1/1
N2 - A classical method for obtaining the exact natural frequencies, natural modes, orthogonality relation and response due to arbitrary loading of undamped beam-oscillator systems presented earlier by the writers is extended to viscously damped plate-oscillator systems. The natural modes are expressed in terms of the Green's function for the vibrating plate. Damping is present in both the plate and oscillators. Modal analysis allows the determination of a closed form expression for the system response to arbitrary loading. Oscillators attached to a simply supported rectangular plate have been considered, but the method is applicable to any plate-oscillator system, provided the Green's function for the undamped vibrating plate is known. An example involving a single oscillator attached to the plate shows the natural frequencies, natural modes and response due to two special types of loading.
AB - A classical method for obtaining the exact natural frequencies, natural modes, orthogonality relation and response due to arbitrary loading of undamped beam-oscillator systems presented earlier by the writers is extended to viscously damped plate-oscillator systems. The natural modes are expressed in terms of the Green's function for the vibrating plate. Damping is present in both the plate and oscillators. Modal analysis allows the determination of a closed form expression for the system response to arbitrary loading. Oscillators attached to a simply supported rectangular plate have been considered, but the method is applicable to any plate-oscillator system, provided the Green's function for the undamped vibrating plate is known. An example involving a single oscillator attached to the plate shows the natural frequencies, natural modes and response due to two special types of loading.
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UR - http://www.scopus.com/inward/citedby.url?scp=0022546274&partnerID=8YFLogxK
U2 - 10.1061/(ASCE)0733-9399(1986)112:1(14)
DO - 10.1061/(ASCE)0733-9399(1986)112:1(14)
M3 - Article
VL - 112
SP - 14
EP - 30
JO - Journal of Engineering Mechanics - ASCE
JF - Journal of Engineering Mechanics - ASCE
SN - 0733-9399
IS - 1
ER -