Free vibration behavior of buckled composite plates are studied by using a high precision triangular plate element. This element is developed based on a simplified high order plate theory and von Ka´rma´n large deformation assumptions. The nonlinear governing equations of motion for the plates is linearized into two sets of equations by assuming small amplitude vibration of the laminates about its buckled static equilibrium profile. Results show that, in the postbuckling regime, the fundamental mode may be shifted from the first mode to the second due to squeezing effect of the in-plane force on the plate. For plate with certain boundary conditions, the natural frequency may have a sudden jump due to buckle pattern change of the plate in the postbuckling regime.
Skip Nav Destination
Article navigation
October 1997
Research Papers
Free Vibration of Buckled Laminated Plates by Finite Element Method
Le-Chung Shiau,
Le-Chung Shiau
Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan, 70101 R.O.C
Search for other works by this author on:
Teng-Yuan Wu
Teng-Yuan Wu
Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan, 70101 R.O.C
Search for other works by this author on:
Le-Chung Shiau
Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan, 70101 R.O.C
Teng-Yuan Wu
Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan, 70101 R.O.C
J. Vib. Acoust. Oct 1997, 119(4): 635-640 (6 pages)
Published Online: October 1, 1997
Article history
Received:
April 1, 1995
Revised:
December 1, 1995
Online:
February 26, 2008
Citation
Shiau, L., and Wu, T. (October 1, 1997). "Free Vibration of Buckled Laminated Plates by Finite Element Method." ASME. J. Vib. Acoust. October 1997; 119(4): 635–640. https://doi.org/10.1115/1.2889774
Download citation file:
Get Email Alerts
Designing Topological Acoustic Lattices via Electroacoustic Analogies
J. Vib. Acoust (October 2023)
On the Feasibility of Dynamic Substructuring for Hybrid Testing of Vibrating Structures
J. Vib. Acoust (August 2023)
Related Articles
Closed Form Expression for the Vibration Problem of a Transversely Isotropic Magneto-Electro-Elastic Plate
J. Appl. Mech (March,2010)
Vibrations of an Incompressible Linearly Elastic Plate Using Discontinuous Finite Element Basis Functions for Pressure
J. Vib. Acoust (October,2019)
Vibration of Pre-stressed Laminated Sandwich Plates With Interlaminar
Imperfections
J. Vib. Acoust (December,2006)
Importance of Higher Order Modes and Refined Theories in Free Vibration Analysis of Composite Plates
J. Appl. Mech (January,2010)
Related Proceedings Papers
Related Chapters
Transverse Free Vibration Analysis of Hybrid SPR Steel Joints
Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010)
Approximate Analysis of Plates
Design of Plate and Shell Structures
Free Vibration and Buckling Analysis of Rectangular Plates under Nonuniform Normal In-Plane Loading
International Conference on Mechanical and Electrical Technology 2009 (ICMET 2009)