Optimal control of vibrations of two nonlinear Gao beams connected with a joint
DOI10.1080/00207721.2021.1876277zbMath1489.49016OpenAlexW3129104442MaRDI QIDQ5028680
Publication date: 10 February 2022
Published in: International Journal of Systems Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207721.2021.1876277
optimal controlmaximum principlenecessary optimality conditionSignorini conditiondynamic contactGao beam
Optimality conditions for problems involving partial differential equations (49K20) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Second-order nonlinear hyperbolic equations (35L70) Unilateral problems for nonlinear hyperbolic equations and variational inequalities with nonlinear hyperbolic operators (35L86)
Cites Work
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- Optimal control of system governed by the Gao beam equation
- Mixed finite element solutions to contact problems of nonlinear Gao beam on elastic foundation
- An inverse problem for the nonlinear Gao beam
- Finite deformation beam models and triality theory in dynamical post-buckling analysis
- Control variational method approach to bending and contact problems for Gao beam.
- Nonlinear elastic beam theory with application in contact problems and variational approaches
- Analysis and simulations of a nonlinear elastic dynamic beam
- Duality principles in nonconvex systems. Theory, methods and applications
- Vibrations of a nonlinear dynamic beam between two stops
- Solution of contact problems for nonlinear Gao beam and obstacle
- Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
- Analysis and Simulations of a Contact Problem for a Nonlinear Dynamic Beam with a Crack
- Solution of contact problems for Gao beam and elastic foundation
- Maximum principle for optimal control of vibrations of a dynamic Gao beam in contact with a rigid foundation
- A predictive Min-H method to improve convergence to optimal solutions
- Dynamic Contact with Normal Compliance Wear and Discontinuous Friction Coefficient
- Boundary tracking control of flexible beams for transferring motions
- Well-posedness and exponential stability of two-dimensional vibration model of a boundary-controlled curved beam with tip mass
- Dynamic Gao Beam in Contact with a Reactive or Rigid Foundation
- Optimal control of vibrations of an elastic beam
- Optimal control of vibrations of a dynamic Gao beam in contact with a reactive foundation
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