Temporally inhomogeneous Timoshenko beam equations
Copyright policy )Temporally inhomogeneous Timoshenko beam equations
We provide a well-posedness result for a fourth order evolution equation in Hilbert space, which is the temporally inhomogeneous version of the Timoshenko beam equation. The method consists in transforming the equation to a convenient second order equation, which is a perturbation, by lower order terms, of a standard wave equation. We prove for such equation the well-posedness by the Ritz-Galerkin method.
- University of Parma Italy
abstract differential equations in Hilbert space, perturbation, Hilbert space, Other PDE from mechanics, 510, well-posedness, Higher order hyperbolic equations, Ritz-Galerkin method, wave equation, Rods (beams, columns, shafts, arches, rings, etc.)
abstract differential equations in Hilbert space, perturbation, Hilbert space, Other PDE from mechanics, 510, well-posedness, Higher order hyperbolic equations, Ritz-Galerkin method, wave equation, Rods (beams, columns, shafts, arches, rings, etc.)
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