... beams (structures) differential equations geometry shear deformation vibrations beam refined beam theory shear deformation free vibration dynamic stiffness matrix Since beams comprise components of so many modern structures, it is necessary for design engineers to evaluate...

...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...

... 07 2001 01 12 2001 26 03 2002 fault diagnosis oscillations nonlinear dynamical systems geometry vibrations In Part 1 of this paper, motivated by the need to track damage evolution in machinery, we have developed a nonlinear method for tracking slowly...

... Editor: B. Yang. 01 November 1997 01 May 1998 geometry optimisation vibration isolation finite element analysis vibrations The optimization of structures and machines with respect to their specific tasks has always been an important goal for designers and engineers...