Abstract
In this paper, a semi-analytical method for the forced vibration analysis of cracked laminated composite beam (CLCB) is investigated. One computational model is formulated by Timoshenko beam theory and its dynamic solution is solved using the Jacobi-Ritz method. The boundary conditions (BCs) at both ends of the CLCB are generalized by the application of artificial elastic springs, the CLCB is separated into two elements along the crack, the flexibility coefficient of fracture theory is used to model the essential continuous condition of the connective interface. All the allowable displacement functions used to analyze dynamic characteristics of CLCB are expressed by classical Jacobi orthogonal polynomials in a more general form. The accuracy of the proposed method is verified through the compare with results of the finite element method (software ABAQUS is used in this paper). On this basis, the parametric study for dynamic analysis characteristics of CLCB is performed to provide reference datum for engineers.
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