An analytical study for dynamic behavior of pultruded fiber-reinforced plastic (FRP) composite cantilever I-beams is presented. Based on a Vlasov-type linear hypothesis, dynamic beam mass and stiffness coefficients, which account for both cross-section geometry and material anisotropy of the beam, are obtained. The eigenfrequency problem is solved by a Ritz energy method, and both exact transcendental and polynomial shape functions satisfying the boundary conditions of cantilever beams are used to describe the modal shapes. Good agreement between the proposed analytical method and finite-element analysis is obtained. The effect of beam span length, fiber orientation, and fiber volume fraction on natural frequencies is investigated. The proposed analytical solution can be used to effectively predict the vibration behavior of FRP cantilever I-beams.
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