Exact boundary controllability on a tree-like network of nonlinear planar Timoshenko beams

DOI10.1007/s11401-017-1092-7zbMath1401.35287OpenAlexW2610197997MaRDI QIDQ2358550

Qilong Gu, Ta-Tsien Li, Günter R. Leugering

Publication date: 15 June 2017

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-017-1092-7

zbMATH Keywords

exact boundary controllabilitytree-like networksnonlinear Timoshenko beamssemi-global classical solutions

Mathematics Subject Classification ID

Variational inequalities (49J40) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with mechanics of deformable solids (35Q74)

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Controllability for the wave equation on graph with cycle and delta-prime vertex conditions ⋮ Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation ⋮ Partial Differential Equations on Metric Graphs: A Survey of Results on Optimization, Control, and Stabilizability Problems with Special Focus on Shape and Topological Sensitivity Problems

Cites Work

• A nonlinear Timoshenko beam formulation based on the modified couple stress theory
• An overview of modelling challenges for a nonlinear plate-beam model
• Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings
• Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
• Modeling, analysis and control of dynamic elastic multi-link structures
• Nonlinear vibration analysis of Timoshenko beams using the differential quadrature method
• Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
• Exact boundary controllability for a kind of second-order quasilinear hyperbolic systems
• Exact controllability for nonautonomous first order quasilinear hyperbolic systems
• Modelling of dynamic networks of thin thermoelastic beams
• Control of Planar Networks of Timoshenko Beams

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