Damping operators in continuum models of flexible structures: Explicit models for proportional damping in beam bending with end-bodies

DOI10.1007/BF01445168zbMath0706.73059OpenAlexW2082864908MaRDI QIDQ918798

A. V. Balakrishnan

Publication date: 1990

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01445168

zbMATH Keywords

square rootflexible structuresoptimization of active controllersstiffness operatoruniform Bernoulli beam

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Control/observation systems governed by partial differential equations (93C20) Vibrations in dynamical problems in solid mechanics (74H45) Optimization problems in solid mechanics (74P99)

Related Items (4)

Non-structural controllability of linear elastic systems with structural damping ⋮ Stabilization for continuum models of large space structures in large attitude maneuvers ⋮ On the nonnegative square root of the fourth derivative operators ⋮ On the dual boundary conditions and the nonnegative square root of the second derivative operator

Cites Work

• Unnamed Item
• Unnamed Item
• Fractional powers of closed operators and the semigroups generated by them
• Proof of extensions of two conjectures on structural damping for elastic systems
• Singular perturbation and boundary layer for an abstract Cauchy problem
• Damping operators in continuum models of flexible structures: Explicit models for proportional damping in beam torsion

This page was built for publication: Damping operators in continuum models of flexible structures: Explicit models for proportional damping in beam bending with end-bodies