Buckling mode localization in a multi-span periodic structure with a disorder in a single span

The lowest vibration spectra of multi-component structures with contrast material properties

“…The obtained results are of interest for low-frequency analysis in multilayered elastic plates and shells [14], [15], [16], and also for investigation of buckling phenomena in multi-span engineering structures, e.g. see [17], due to the well-known similarity of the eigenvalue problems in vibration and stability theories. The presented methodology may be implemented to a more general layout as well as other types of boundary conditions at the ends of the multicomponent structures.…”

Localization in the buckling or in the vibration of a two-span weakened column

“…It is quite a paradox that most researches dealing with localization in elastic structural mechanics have only begun in the 90s (see the bibliographical study [7]). The localization phenomenon has been found in many elastic stability (and dynamics) problems of continuous structures such as local buckling and overall buckling of thin-walled members ( [8] or [9]) or buckling of repetitive structures in the presence of irregularities ( [10][11][12] or [13]). Localization in a multi-span elastic column may indeed appear by slightly perturbing the length of each column in presence of additional external springs.…”

Analysis of Wave Localization in a Disordered Periodic Viaduct Undergoing In-plane Vibration

“…Kissel [6] pointed out the existence of vibration localization in multi-span disordered beam and calculated localized factor. It is studied the buckling mode localization in the fewer spans periodic plate girder structure using modal analysis in the documents [7,8]. Li Fengming etc.…”