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
- Country of Publication:
- United States
- Language:
- English
Similar Records
Free vibration of thick isotropic and orthotropic cylindrical shells
Natural frequencies of thick, symmetrically-laminated, skew, trapezoidal plates with various boundary supports