2134/5409
Andrew Watson
Andrew
Watson
David Kennedy
David
Kennedy
F.W. Williams
F.W.
Williams
Carol A. Featherston
Carol A.
Featherston
Buckling and vibration of stiffened panels or single plates with clamped ends
Loughborough University
2009
Structural analysis
Plate structures
Buckling
Vibration
Clamped ends
Engineering not elsewhere classified
2009-10-21 08:29:07
Journal contribution
https://repository.lboro.ac.uk/articles/journal_contribution/Buckling_and_vibration_of_stiffened_panels_or_single_plates_with_clamped_ends/9224834
An efficient method for the buckling and vibration analysis of plates or
stiffened panels with clamped ends is presented. The method uses Lagrangian
multipliers to couple sinusoidal modes with appropriate half-wavelengths of response,
thereby enforcing the end conditions at discrete point supports. Clamped ends can
usually be modelled accurately using only a few point supports, while arguments from
symmetry often enable some of the required end conditions to be satisfied without
explicitly applying constraints. In such cases few half-wavelengths are needed to
obtain excellent accuracy. Solutions obtained for the simple limiting case of single
plates are exact or within 1% of the classical or other reported solutions. Solutions
obtained for stiffened panels are in close agreement with those obtained using finite
element analysis.