Optimal control of vibrations of a dynamic Gao beam in contact with a reactive foundation

DOI10.1080/00207721.2016.1236994zbMath1362.74026OpenAlexW2526202629WikidataQ125913541 ScholiaQ125913541MaRDI QIDQ5347324

Bing Sun

Publication date: 23 May 2017

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2016.1236994

zbMATH Keywords

optimal controlmaximum principlenecessary optimality conditionGao beamnonlinear viscoelastic beam

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Optimization of other properties in solid mechanics (74P10) PDEs in connection with control and optimization (35Q93)

Related Items (1)

Optimal control of vibrations of two nonlinear Gao beams connected with a joint

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mixed finite element solutions to contact problems of nonlinear Gao beam on elastic foundation
• Existence for dynamic contact of a stochastic viscoelastic Gao beam
• Analysis of a nonlinear beam in contact with a foundation
• Optimal birth control of population dynamics
• Maximum principle for optimal boundary control of the Kuramoto-Sivashinsky equation
• Maximum principle for optimal boundary control of vibrating structures with applications to beams
• Finite deformation beam models and triality theory in dynamical post-buckling analysis
• Nonlinear elastic beam theory with application in contact problems and variational approaches
• Normal compliance contact models with finite interpenetration
• The control variational method for beams in contact with deformable obstacles
• Analysis and Simulations of a Contact Problem for a Nonlinear Dynamic Beam with a Crack
• Dubovitskii-Milyutin formalism applied to optimal control problems with constraints given by the heat equation with final data
• Optimal boundary control of a tracking problem for a parabolic distributed parameter system
• A predictive Min-H method to improve convergence to optimal solutions
• Dynamic Gao Beam in Contact with a Reactive or Rigid Foundation

This page was built for publication: Optimal control of vibrations of a dynamic Gao beam in contact with a reactive foundation