Analysis, Designs, and Behavior of Dissipative Joints for Coupled Beams

DOI10.1137/0149101zbMath0685.73046OpenAlexW1963669828MaRDI QIDQ4203890

Goong Chen, Matthew P. Coleman, David L. Russel, C. Eugene Wayne, H. H. West, Steven G. Krantz

Publication date: 1989

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0149101

zbMATH Keywords

rotationdampinganalysisdisplacementbending momentshearaxisEuler-Bernoulli beam equationsasymptotic eigenfrequencyasymptotically appearing alternately and parallel to the imaginaryasymptotically appearing alternately and parallel to the imaginary axistwo families of eigenvalues

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Thin bodies, structures (74K99) Control of mechanical systems (70Q05) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (22)

Eigenfrequencies of the three-dimensional Euler-Bernoulli beam system with dissipative joints ⋮ An asymptotic and numerical analysis of the vibration spectrum of two Timoshenko beams coupled by general linear dissipative joints ⋮ Uniform Stabilization of a Hybrid System of Elasticity: Riesz Basis Approach ⋮ An overview of the exterior matrix method ⋮ Pointwise feedback stabilization of an Euler-Bernoulli beam in observations with time delay ⋮ Internal model based tracking and disturbance rejection for stable well-posed systems ⋮ Optimal decay ratio of damped slowly rotating Timoshenko beams ⋮ On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback ⋮ The structural property of a class of vector-valued hyperbolic equations and applications ⋮ Stability of an interconnected system of Euler-Bernoulli beam and wave equation through boundary coupling ⋮ Stabilization of Euler-Bernoulli beam by a boundary control ⋮ Stabilization of wave equations coupled in parallel by viscous damping ⋮ Asymptotics of eigenfrequencies and eigenmodes of non-homogeneous inextensible filament with an end load ⋮ Stabilization and SDG condition of serially connected vibrating strings system with discontinuous displacement ⋮ Stabilization of Timoshenko Beam by Means of Pointwise Controls ⋮ Spectral operators generated by Timoshenko beam model ⋮ Asymptotic analysis of the vibration spectrum of coupled Timoshenko beams with a dissipative joint ⋮ Riesz Basis Approach to the Tracking Control of a Flexible Beam with a Tip Rigid Body without Dissipativity ⋮ The eigenvalue problem for networks of beams ⋮ Uniform exponential stabilisation of serially connected inhomogeneous Euler-Bernoulli beams ⋮ Basis property of a Rayleigh beam with boundary stabilization ⋮ Control of networks of Euler-Bernoulli beams

This page was built for publication: Analysis, Designs, and Behavior of Dissipative Joints for Coupled Beams