Determination of nonlinear stiffness with application to random vibration of geometrically nonlinear structures

By A. Muravyov, S. Rizzi. 2003

312 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Nonlinear Reduced-Order Models for Thermoelastodynamic Response of Isotropic and Functionally Graded Panels (2011, methodology): “For example, the evaluation of the stiffness coefficients K 1 ij , K 2 ijl , K 3 ijlp, and K th ijl can be achieved by the algorithm of [4] (see also [6,11,17]), which relies on an ensemble of nonlinear static solutions in which the displacements are prescribed and the necessary forces determined.”
Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems (2008, methodology): “One such technique, referred to as the STEP method (STiffness Evaluation Procedure), was initially conceived in [7] and later modified in [8, 9].”
NONLINEAR REDUCED ORDER MODELING OF ISOTROPIC AND FUNCTIONALLY GRADED PLATES (2008, unknown): “Further, see the discussion in [33] for the general validity of the restriction of the indices .”
Evaluation of Geometrically Nonlinear Reduced-Order Models with Nonlinear Normal Modes (2015, methodology): “MuravyovandRizzi found that the nonlinear stiffness coefficients did not change significantly as the maximum displacement was varied [18], and they concluded that the coefficients were insensitive to the displacement amplitudes [28,29].”