Abstract

An analytical method towards investigating the dynamic coupled vibrations of axially loaded slender composite beams with a solid or closed thin-walled cross-section is presented. The classical composite beam theory is employed and the important effect of axial force is included in the present formulations. The exact natural frequencies and mode shapes of slender composite beams are computed by directly solving the governing differential equations of motion in free vibration and the orthogonality of the normal modes is derived. The theoretical expressions for the displacement response of axially loaded composite beams subjected to concentrated or distributed loads are obtained by using the normal mode method. The method is illustrated by its application to two test examples to demonstrate the effects of bending-torsion coupling and axial force on the dynamic behavior of composite beams. The numerical results for the dynamic bending displacements and torsional displacements are discussed in detail and the accuracy of the solutions is verified.

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