A NEW NONLINEAR HIGHER-ORDER SHEAR DEFORMATION THEORY FOR NONLINEAR VIBRATIONS OF LAMINATED SHELLS Conference Paper uri icon

abstract

  • A consistent higher-order shear deformation nonlinear theory is developed for shells of generic shape; taking geometric imperfections into account. The geometrically nonlinear strain-displacement relationships are derived retaining full nonlinear terms in the in-plane displacements; they are presented in curvilinear coordinates in a formulation ready to be implemented. Then, large-amplitude forced vibrations of a simply supported, laminated circular cylindrical shell are studied (i) by using the developed theory, and (ii) keeping only nonlinear terms of the von Karman type. Results show that inaccurate results are obtained by keeping only nonlinear terms of the von Karman type for vibration amplitudes of about two times the shell thickness for the studied case.

name of conference

  • Volume 8: Dynamic Systems and Control, Parts A and B

published proceedings

  • PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION - 2010, VOL 8, PTS A AND B

author list (cited authors)

  • Amabili, M., & Reddy, J. N.

citation count

  • 1

complete list of authors

  • Amabili, M||Reddy, JN

publication date

  • January 2012