Spectrum of a network of Euler-Bernoulli beams
From MaRDI portal
Publication:2382695
DOI10.1016/j.jmaa.2007.03.080zbMath1122.74032OpenAlexW2021405897MaRDI QIDQ2382695
Publication date: 2 October 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.03.080
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)
Related Items (17)
Higher-order operators on networks: hyperbolic and parabolic theory ⋮ A pinned network of Euler-Bernoulli beams under feedback controls ⋮ Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation ⋮ Do shape memory alloy cables restrain the vibrations of girder bridges? A mathematical point of view ⋮ Spectral properties of a fourth‐order differential operator on a network ⋮ Identification of multiple cracks in a beam by natural frequencies ⋮ Spectral analysis of the Schrödinger operator on binary tree-shaped networks and applications ⋮ Output feedback stabilisation of a tree-shaped network of vibrating strings with non-collocated observation ⋮ Control of a network of Euler-Bernoulli beams ⋮ Exponential stabilisation of a simple tree-shaped network of Timoshenko beams system ⋮ Decay rates for \(1-d\) heat-wave planar networks ⋮ Boundary controllability of a chain of serially connected Euler-Bernoulli beams with interior masses ⋮ Boundary Controllability of Two Vibrating Strings Connected by a Point Mass with Variable Coefficients ⋮ Exponential stability of a network of serially connected Euler–Bernoulli beams ⋮ Stability and spectral properties of general tree-shaped wave networks with variable coefficients ⋮ Uniform exponential stabilisation of serially connected inhomogeneous Euler-Bernoulli beams ⋮ Exponential stability of a network of beams
Cites Work
- Classical solvability of linear parabolic equations on networks
- Modeling, analysis and control of dynamic elastic multi-link structures
- Smoothing evolution equations and boundary control theory
- A class of fourth-order differential equations on a spatial net
- The eigenvalue problem for networks of beams
- Exact boundary controllability of two Euler-Bernoulli beams connected by a point mass
- Transmission problems on polygonal networks for systems of PDEs
- A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks
- A characterization of a generalized \(C^{\infty}\)-notion on nets
- Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks
- Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
- Delayed reflection of the energy flow at a potential step for dispersive wave packets
- Regular solutions of transmission and interaction problems for wave equations
- Modeling, Stabilization and Control of Serially Connected Beams
- Sturm-Liouville eigenvalue problems on networks
- Spectre des réseaux de poutres
- Control of networks of Euler-Bernoulli beams
- Asymptotic analysis and control of a hybrid system composed by two vibrating strings connected by a point mass
- A hybrid system consisting in two flexible beams connected by a point mass: spectral analysis and well-posedness in asymmetric spaces
- Delayed reflection in a stratified acoustic strip
- Nonlinear interaction problems
- Exact Controllability and Stabilization of a Vibrating String with an Interior Point Mass
- Dynamical interface transition in ramified media with diffusion
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Spectrum of a network of Euler-Bernoulli beams
