The Damping Forced Vibration of Rectangular Stiffened Plates with Elastic Boundary Edges Including Boundary Damping

An Fu Zhang; Mei Ping Sheng; He Ye Xiao

doi:10.4028/www.scientific.net/AMM.577.205

Paper Titles

Study on the Thermal Characteristics Simulation and Error Compensation of Long Rail of Heavy Numerically-Controlled Machine Tool
p.187

Study on Three-Dimensional Design of Crankshaft Piston Group of Diesel Engine Based on Pro-E
p.192

Study on Time-Frequency Spectrum Characteristic of Dynamic Cutting Load Based on Wavelet Regularization
p.196

The Analysis of the Effect of Structure to the Fouling Characteristic of Spiral-Grooved Tube
p.201

The Damping Forced Vibration of Rectangular Stiffened Plates with Elastic Boundary Edges Including Boundary Damping
p.205

The Design and Analysis of Saw-Milling Working Head for Special Shaped Stone
p.209

The Dynamic Simulation Study of WN Gear Pair after Coupling Tribology
p.214

The Finite Element Analysis of Modular Hole of the Lateral Longitudinal Beam in the Power Protection Cabinets
p.218

The Influence of Bolt Layout Form to the Dynamic Stiffness of the Column
p.222

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 577The Damping Forced Vibration of Rectangular...

The Damping Forced Vibration of Rectangular Stiffened Plates with Elastic Boundary Edges Including Boundary Damping

Abstract:

The paper proposes an analytical-numerical method for damping forced vibration problem of the rectangular stiffened plates with elastic boundary restraints. By enforcing applicable continuity conditions between plate and beams, coupled equations of beams-plate system are established. The displacement function is expressed as a modified two-dimensional Fourier series, which converts the differential equations of plate-beam systems into linear algebraic equations. Furthermore, Rayleigh’s proportional damping is introduced into beams-plate system so that damping parameters of stiffened plate can be inserted into vibration equations. It is derived that the present method demonstrates good agreement with standard finite element analysis. In subsequent analysis, it can be found that the boundary damping can reduce vibration energy of stiffened plate to same extent.

You might also be interested in these eBooks

Applied Decisions in Area of Mechanical Engineering and Industrial Manufacturing

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volume 577)

Pages:

205-208

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.577.205

Citation:

Cite this paper

Online since:

July 2014

Authors:

An Fu Zhang*, Mei Ping Sheng, He Ye Xiao

Keywords:

Boundary Damping, Damping Forced Vibration, Elastic Boundary Edges, Stiffened Plate

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Lorenzo Dozio, Massimo Ricciardi, Free vibration analysis of ribbed plates by a combined analytical-numerical method[J]. Journal of Sound and Vibration, 2009, 319: 681-697.

DOI: 10.1016/j.jsv.2008.06.024

Google Scholar

[2] W L Li, Vibration analysis of rectangular plates with general elastic boundary supports[J]. Journal of Sound and Vibration, 2004, 273: 619-635.

DOI: 10.1016/s0022-460x(03)00562-5

Google Scholar

[3] Hongan Xu, Jingtao Du and W L Li, Vibrations of rectangular plates reinforced by any number of beams of arbitrary lengths and placement angles[J]. Journal of Sound and Vibration, 2010, 329: 3759-3779.

DOI: 10.1016/j.jsv.2010.03.023

Google Scholar

[4] W L Li, Xuefeng Zhang and Jingtao Du et al, An exact series solution for the transverse vibration of rectangular plates with general elastic boundary supports[J]. Journal of Sound and Vibration, 2009, 321: 254-269.

DOI: 10.1016/j.jsv.2008.09.035

Google Scholar

[5] S Adhikari, Damping modelling using generalized proportional damping[J]. Journal of Sound and Vibration, 2006, 293: 156-170.

DOI: 10.1016/j.jsv.2005.09.034

Google Scholar