articleTop 10% cited
Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates
Journal of Applied Mechanics · 1951 · Vol. 18(1) · pp. 31–38
R. D. Mindlin✉(Columbia University)
Abstract
Abstract A two-dimensional theory of flexural motions of isotropic, elastic plates is deduced from the three-dimensional equations of elasticity. The theory includes the effects of rotatory inertia and shear in the same manner as Timoshenko’s one-dimensional theory of bars. Velocities of straight-crested waves are computed and found to agree with those obtained from the three-dimensional theory. A uniqueness theorem reveals that three edge conditions are required.
Composite Structure Analysis and OptimizationElasticity and Wave PropagationVibration and Dynamic AnalysisIsotropyElasticity (physics)UniquenessShear (geology)InertiaClassical mechanicsFlexural strengthPhysicsMechanicsMathematical analysis
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