An inequality constraint for the deflection of an elastic beam under a uniform distributed loading

• Main Author: Ioakimidis, Nikolaos
• Other Authors: Ιωακειμίδης, Νικόλαος
• Format: Technical Report
• Language: English
• Published: 2018
• Subjects: Beams; Bending; Deflections; Elasticity; Finite elements; Inequality constraints; Obstacles; Quantifier elimination; Quantifier-free formulae; Sturm–Habicht sequences; Maple; Δοκοί; Κάμψη; Βέλη κάμψεως; Ελαστικότητα; Πεπερασμένα στοιχεία; Ανισοτικοί περιορισμοί; Εμπόδια; Απαλοιφή ποσοδεικτών; Τύποι χωρίς ποσοδείκτες; Ακολουθίες Sturm–Habicht

The problem of the deflection of a straight isotropic elastic beam under a uniform distributed loading during bending is reconsidered under the inequality constraint that this deflection should not exceed a critical value because of the existence of a rigid obstacle or because of strength or even ae...