In this paper, an efficient layer-wise theory for steady-state forced vibration of laminated composite circular curved beams with strong inter lamina inhomogeneity is presented. Hamiltonian approach has been used to develop the dynamic model of curved beams. No compromise has been made on the accuracy of the theory due to the simplification of \(1\boldsymbol{}+\boldsymbol{}{\varvec{z}}/{\varvec{R}}\) expressions throughout the formulation. Closed form expressions for curved beam stiffness and inertial coefficients have been derived. The equations of motion have been exactly solved for simply supported end conditions under sinusoidal harmonic load.

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Forced Vibration of Laminated Composite Curved Beams Using an Efficient Layer-Wise Theory

  • M. Shariq Beg,
  • M. Yaqoob Yasin

摘要

In this paper, an efficient layer-wise theory for steady-state forced vibration of laminated composite circular curved beams with strong inter lamina inhomogeneity is presented. Hamiltonian approach has been used to develop the dynamic model of curved beams. No compromise has been made on the accuracy of the theory due to the simplification of \(1\boldsymbol{}+\boldsymbol{}{\varvec{z}}/{\varvec{R}}\) expressions throughout the formulation. Closed form expressions for curved beam stiffness and inertial coefficients have been derived. The equations of motion have been exactly solved for simply supported end conditions under sinusoidal harmonic load.