FREE VIBRATION ANALYSIS OF CANTILEVER PLATES WITH STEP DISCONTINUITIES IN PROPERTIES BY THE METHOD OF SUPERPOSITION

• Published in: Journal of sound and vibration Vol. 253; no. 3; pp. 631 - 652
• Main Authors: GORMAN, D.J., SINGHAL, R.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 06-06-2002; Elsevier
• Subjects: Applied sciences; Buildings. Public works; Computation methods. Tables. Charts; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural analysis. Stresses; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Free vibration; Cantilever; Experimental study; Modeling; Variable section; Earthquakes; Cantilever plate; Analytical method; Eigenvalue problem; Vibrational mode; Superposition method; High rise building; Structural analysis
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1006/jsvi.2001.4067

Utilizing the superposition method, an analytical type solution is obtained for the free vibration eigenvalues and mode shapes of a cantilever plate with step discontinuities in plate properties. Property discontinuity lines run parallel to the clamped edge of the plate. Verification tests are performed for limiting cases by comparing computed eigenvalues with known eigenvalues for plates with uniform properties. Very good agreement is also obtained when computed results are compared with those obtained experimentally utilizing a test plate with discontinuities in thickness. Computed eigenvalues and mode shapes are presented for the benefit of other researchers. Besides the general interest, the problem has an application in the modelling of certain multi-story buildings during seismic studies.