Abstract
A general formulation is considered for the free vibration of curved laminated composite beams (CLCBs) with alterable curvatures and diverse boundary restraints. In accordance with higher-order shear deformation theory (HSDT), an improved variational approach is introduced for the numerical modeling. Besides, the multi-segment partitioning strategy is exploited for the derivation of motion equations, where the CLCBs are separated into several segments. Penalty parameters are considered to handle the arbitrary boundary conditions. The admissible functions of each separated beam segment are expanded in terms of Jacobi polynomials. The solutions are achieved through the variational approach. The proposed methodology can deal with arbitrary boundary restraints in a unified way by conveniently changing correlated parameters without interfering with the solution procedure.
Highlights
The moderately tall curved laminated composite beams (CLCBs) are widely applied in engineering fields
A two-letter string is utilized to represent the boundary conditions of two ends, e.g., Simply supported (SS)-E indicates the curved beam subjected to the supported boundary condition at edge φ = φ0 and the elastic one at edge φ = φ1
This paper proposes a unified formulation subjected to general boundary conditions
Summary
The moderately tall curved laminated composite beams (CLCBs) are widely applied in engineering fields. The laminated composite material has excellent mechanical properties including high compression-resistance capacity, high strength-to-weight and stiffness-to-weight ratios, preeminent corrosion-resistance, and powerful customizable capacity [1,2]. The CLCBs may commonly undergo various kinds of complicated dynamic loads and other complex work environments, which lead to excessive vibration and fatigue damage of the structure. Dynamic modelling is the precondition for understanding the vibration characteristics of CLCBs. this paper aims to evaluate the vibration features of CLCBs with alterable curvatures by a modified variational approach in the framework of higher-order shear deformation theory (HSDT). Numerous works have been carried out on the vibration problems of CLCBs. A group of equations were constructed by Qatu [3] for vibration analysis of supported CLCBs, which
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