Dynamic Stability of Nonlinear Antisymmetrically-Laminated Cross-Ply Rectangular Plates

[+] Author and Article Information
Andrzej Tylikowski

Warsaw University of Technology, Institute of Machine Design Fundamentals, Warsaw 02-524, Poland

J. Appl. Mech 56(2), 375-381 (Jun 01, 1989) (7 pages) doi:10.1115/1.3176092 History: Received December 01, 1987; Revised July 05, 1988; Online July 21, 2009


The dynamic stability problem is solved for rectangular plates that are laminated antisymmetrically about their middle plane and compressed by time-dependent deterministic or stochastic membrane forces. Moderately large deflection equations taking into account a coupling of in-plane and transverse motions are used. The asymptotic stability and almost-sure asymptotic stability criteria involving a damping coefficient and loading parameters are derived using Liapunov’s direct method. A relation between the stability of nonlinear equations and linearized ones is analyzed. An influence on the number of orthotropic layers, material properties for different classes of parametric excitation on stability domains is shown.

Copyright © 1989 by ASME
Your Session has timed out. Please sign back in to continue.





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.

Related Journal Articles
Related eBook Content
Topic Collections

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