Vibration of variable thickness orthotropic plates using eigensensitivity analysis
- Naval Academy, Annapolis, MD (United States). Mechanical Engineering Dept.
An approximate closed-form expression is presented which can be used to compute the fundamental frequency of specially orthotropic laminates having a linearly varying thickness. The desired expression is determined by casting the governing differential equation into discrete form using the Ritz method and expanding the discrete equations in a Maclaurin series about the off-diagonal elements of both the stiffness and mass matrices. Fundamental frequencies are computed for a combination of simply-supported and clamped boundary conditions using both beam shape functions and orthogonal polynomials as the admissible basis. Results are compared with those obtained numerically using the Rayleigh-Ritz approach for several laminate tapers {xi} and plate aspect ratios R.
- OSTI ID:
- 237745
- Report Number(s):
- CONF-9510177-; ISBN 1-56676-376-2; TRN: IM9625%%70
- Resource Relation:
- Conference: 10. technical conference on composite materials, Santa Monica, CA (United States), 18-20 Oct 1995; Other Information: PBD: 1995; Related Information: Is Part Of Proceedings of the American Society for Composites: Tenth technical conference. Composite materials, mechanics and processing; PB: 659 p.
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
COMPOSITE MATERIALS
MECHANICAL PROPERTIES
CARBON FIBERS
EPOXIDES
MECHANICAL VIBRATIONS
MATHEMATICAL MODELS
PLATES
FREQUENCY ANALYSIS
DIFFERENTIAL EQUATIONS
RITZ METHOD
BOUNDARY CONDITIONS
EIGENVALUES
SERIES EXPANSION
NUMERICAL ANALYSIS
LAYERS