... for the first five modes of the clamped-free beam with L = 1 m and are shown in Fig. 4 . First five normal mode shapes of clamped-free beam: ( a ) mode 1, ( b ) mode 2, ( c ) mode 3, ( d ) mode 4, and ( e ) mode 5 Geometry...

...L.-X. Li; J.-S. Sun; H. Sakamoto A generalized infinite element is presented by combining following aspects: (1) The geometry mapping in the Cartesian system is chosen so as to facilitate the generation of infinite element mesh; (2) The decay variable is defined as the in situ major axis...

...-pinned beams. The changes in the transverse vibration and associated eigenfrequencies of the beams are considered. Specifically, a complete variational beam vibration model is developed and presented that allows variations in geometry and material properties to be considered, with and without crack...

... AND ACOUSTICS . Manuscript received July 2001; revised December 2001. Associate Editor: M. I. Friswell. 01 07 2001 01 12 2001 26 03 2002 fault diagnosis oscillations nonlinear dynamical systems geometry vibrations In the next section, we develop...

... ¯ The ability to modify the geometry may lead to nonrealizable dimensions e.g. negative thickens or dimensions that cannot be realized. For a beam whose thickness depend on the sought parameter-vector we obtain: (3) h _ ⩽ h θ ⩽ h ¯ where h θ , h _ , h ¯ are here the working...