Renato R. Medeiros, Carlos E. S. Cesnik, Etienne B. Coetzee

DOI Number: N/A

Conference number: IFASD-2017-035

This paper describes a general formulation for the solution of geometrically nonlinear structural problems with Reduced Order Models. Based on the Euler-Lagrange equations, the approach allows any choice of degrees of freedom and fitting functions for the potential energy and displacements. It is particularly suitable to the modeling of cantilevered structures, since it includes the nonlinear displacements into the kinetic energy, correcting inertia terms which used to be neglected in previous developments. The dynamic analyses of a beam and a wing box undergoing large displacements in the time-domain illustrate the method.

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