Non-Probabilistic Methods for Natural Frequency and Buckling Load of Composite Plate Based on the Experimental Data

Abstract

A hybrid experimental-theoretical method is proposed to investigate the influence of unavoidable scatter in elastic moduli on the natural frequency and axial buckling load of composite plate using ellipsoidal and interval analyses. The elastic moduli for material T300-QY8911 are quantified by use of the smallest ellipsoid or smallest hyper-rectangle based on a set of real experimental data. Then the bounds of the natural frequency of axial buckling load of composite plate in virtue of the obtained ellipsoid and hyper-rectangle are evaluated. Numerical examples are provided to illustrate the feasibility and validity of the proposed method.

Keywords:

• Composite plate
• Ellipsoidal analysis
• Experimental data
• Hybrid theoretical-experimental method
• Interval analysis

ACKNOWLEDGMENTS

X. W and Z. Q thank the National Science Foundation of the P.R. China (No. 11002013), 111 Project (No. B07009) and FanZhou Science and Research Foundation for Young Scholars (No. 20080503) for support. I. E appreciates the partial financial support by ONR, and the J. M. Rubin Foundation of the Florida Atlantic University.

Notes

^#Communicated by S. Kaliszky.