Weak solution of boundary value problem for the orthotropic plate reinforced with stiffening ribs
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Weight minimization of an elastic plate with a unilateral inner obstacle by a mixed finite element method
Ivan Hlaváček (1994)
Applications of Mathematics
Unilateral deflection problem of a clamped plate above a rigid inner obstacle is considered. The variable thickness of the plate is to be optimized to reach minimal weight under some constraints for maximal stresses. Since the constraints are expressed in terms of the bending moments only, Herrmann-Hellan finite element scheme is employed. The existence of an optimal thickness is proved and some convergence analysis for approximate penalized optimal design problem is presented.
Well-posedness and regularity results for a dynamic von Kármán plate.
Bradley, Mary E. (1995)
International Journal of Mathematics and Mathematical Sciences
Weyl formula with optimal remainder estimate of some elastic networks and applications
Kaïs Ammari, Mouez Dimassi (2010)
Bulletin de la Société Mathématique de France
We consider a network of vibrating elastic strings and Euler-Bernoulli beams. Using a generalized Poisson formula and some Tauberian theorem, we give a Weyl formula with optimal remainder estimate. As a consequence we prove some observability and stabilization results.
Currently displaying 1 – 4 of 4
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