Natural frequencies of thick, symmetrically-laminated, skew, trapezoidal plates with various boundary supports
Increasing use of composite materials in structures requires an accurate method of predicting response. Transverse shear effects can play an important role in laminated structures, even those that are considered thin, and as a result, should not be neglected. The free vibration response of generally laminated, thick, skewed, trapezoidal plates is investigated due of the lack of information in this area. In the method developed, Chebychev polynomials are used as displacement functions in the Rayleigh-Ritz method. To account for various edge supports, free, simply supported, and clamped, appropriate linear and rotational springs are introduced to satisfy the essential boundary conditions. First-order shear theory is used to account for transverse shear effects, and rotary inertia is also included in the model. Convergence of the solution resulting from changes in spring values and number of terms in the series is investigated. To demonstrate the accuracy of the method, results for thin isotropic and laminated plates are compared to past results for various planforms and boundary conditions. Next, thick isotropic plate results are compared to available published results. Thick laminated plate results for various planforms and boundary conditions are then presented. Variations in natural frequencies due to geometric parameter changes, such as taper ratio and sweep angle, are also studied.
- OSTI ID:
- 89870
- Report Number(s):
- CONF-9409291-; ISBN 1-56676-220-0; TRN: IM9536%%300
- Resource Relation:
- Conference: 9. technical conference of the American Society for Composites, Newark, DE (United States), 20-22 Sep 1994; Other Information: PBD: 1994; Related Information: Is Part Of Proceedings of the American Society for Composites: Ninth technical conference; PB: 1319 p.
- Country of Publication:
- United States
- Language:
- English
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