0
Research Papers

Boundary Control of Large Amplitude Vibration of Anisotropic Composite Laminated Plates

[+] Author and Article Information
Hossein Rastgoftar

Department of Mechanical Engineering, School of Engineering, Shiraz University, Mollasadra Avenue, Shiraz, Fars 71348-51154, Iranrastgoftar@shirazu.ac.ir

Mohammad Eghtesad

Department of Mechanical Engineering, School of Engineering, Shiraz University, Mollasadra Avenue, Shiraz, Fars 71348-51154, Iraneghtesad@shirazu.ac.ir

Alireza Khayatian

Department of Electrical Engineering, School of Engineering, Shiraz University, Mollasadra Avenue, Shiraz, Fars 71348-51154, Iran

J. Vib. Acoust 132(6), 061009 (Oct 08, 2010) (14 pages) doi:10.1115/1.4000984 History: Received June 29, 2008; Revised December 10, 2009; Published October 08, 2010; Online October 08, 2010

This paper presents a solution to the stabilization problem of large amplitude vibration of the anisotropic composite laminated plates when the Kirchhoff theorem is used to model geometric equations of strain. Because of the large displacement in the normal direction to the plate, the plate displacements in in-plane directions are not dispensable, and strains and governing equations for transverse vibration and in-plane motions are nonlinear; therefore, the nonlinear boundary control method is proposed to be utilized to stabilize the plate vibration. The boundary control forces consist of feedback of the velocities and slope at the boundary of the plate. By applying the proposed method, it is possible to asymptotically stabilize large amplitude vibration of anisotropic composite plates with simply supported boundary conditions without resorting to truncation of the model and without the use of in-domain measuring and actuating devices.

Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

The coordinate system located at a corner of the plate and the corresponding displacements, u, v, and w

Grahic Jump Location
Figure 2

Positive rotation of the principal material axes from x–y axes

Grahic Jump Location
Figure 3

Geometry of N layer laminated composite plate

Grahic Jump Location
Figure 4

Displacement u of the midpoint of the simulated plate because of its natural vibration

Grahic Jump Location
Figure 5

Displacement v of the midpoint of the simulated plate because of its natural vibration

Grahic Jump Location
Figure 6

Displacement w of the midpoint of the simulated plate because of its natural vibration

Grahic Jump Location
Figure 7

Displacement u of the midpoint of the plate when continuous boundary control inputs are exerted and control gains are Kxy=Kyy=Ky=10

Grahic Jump Location
Figure 8

Displacement v of the midpoint of the plate when continuous boundary control inputs are exerted and control gains are Kxy=Kyy=Ky=10

Grahic Jump Location
Figure 9

Displacement w of the midpoint of the plate when continuous boundary control inputs are exerted and control gains are Kxy=Kyy=Ky=10

Grahic Jump Location
Figure 10

Displacement u of the midpoint of the plate when continuous boundary control inputs are exerted and control gains are Kxy=Kyy=Ky=20

Grahic Jump Location
Figure 11

Displacement v of the midpoint of the plate when continuous boundary control inputs are exerted and control gains are Kxy=Kyy=Ky=20

Grahic Jump Location
Figure 12

Displacement w of the midpoint of the plate when continuous boundary control inputs are exerted and control gains are Kxy=Kyy=Ky=20

Grahic Jump Location
Figure 13

Continuous boundary control input Ny at point (1m, 1m); control gains are Kxy=Kyy=Ky=10

Grahic Jump Location
Figure 14

Continuous boundary control input Nxy at point (1m, 1m); control gains are Kxy=Kyy=Ky=10

Grahic Jump Location
Figure 15

Continuous boundary control input Vy at point (1m, 1m); control gains are Kxy=Kyy=Ky=10

Grahic Jump Location
Figure 16

Continuous boundary control input Ny at point (1m, 1m); control gains are Kxy=Kyy=Ky=20

Grahic Jump Location
Figure 17

Continuous boundary control input Nxy at point (1m, 1m); control gains are Kxy=Kyy=Ky=20

Grahic Jump Location
Figure 18

Continuous boundary control input Vy at point (1m, 1m); control gains are Kxy=Kyy=Ky=20

Grahic Jump Location
Figure 19

Displacement u of the midpoint of the plate when discretized control inputs are exerted and control gains are Kxy=Kyy=Ky=20

Grahic Jump Location
Figure 20

Displacement v of the midpoint of the plate when discretized control inputs are exerted and control gains are Kxy=Kyy=Ky=20

Grahic Jump Location
Figure 21

Displacement w of the midpoint of the plate when discretized control inputs are exerted and control gains are Kxy=Kyy=Ky=20

Grahic Jump Location
Figure 22

Displacement u of the midpoint of the plate when discretized control inputs are exerted and control gains are Kxy=Kyy=Ky=40

Grahic Jump Location
Figure 23

Displacement v of the midpoint of the plate when discretized control inputs are exerted and control gains are Kxy=Kyy=Ky=40

Grahic Jump Location
Figure 24

Displacement w of the midpoint of the plate when discretized control inputs are exerted and control gains are Kxy=Kyy=Ky=40

Grahic Jump Location
Figure 25

Discretized boundary control input Ny at point (0.8m, 1m); control gains are Kxy=Kyy=Ky=20

Grahic Jump Location
Figure 26

Discretized boundary control input Nxy at point (0.8m, 1m); control gains are Kxy=Kyy=Ky=20

Grahic Jump Location
Figure 27

Discretized boundary control input Vy at point (0.8m, 1m); control gains are Kxy=Kyy=Ky=20

Grahic Jump Location
Figure 28

Discretized boundary control input Ny at point (0.8m, 1m); control gains are Kxy=Kyy=Ky=40

Grahic Jump Location
Figure 29

Discretized boundary control input Nxy at point (0.8m, 1m); control gains are Kxy=Kyy=Ky=40

Grahic Jump Location
Figure 30

Discretized boundary control input Vy at point (0.8m, 1m); control gains are Kxy=Kyy=Ky=40

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In