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Pointwise comparison principle for clamped Timoshenko beam. (English) Zbl 1276.34020

Properties of the Green functions for a general ‘clamped beam’, a Timoshenko clamped beam and an Euler-Bernoulli clamped beam are presented. The condensed form is new even for the Euler-Bernoulli clamped beam and allows to justify the pointwise comparison principle for the Timoshenko beam.
Reviewer: Yang Yang (Wuxi)

MSC:

34B27 Green’s functions for ordinary differential equations
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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