6533b851fe1ef96bd12a9063
RESEARCH PRODUCT
Analysis and optimization against buckling of beams interacting with elastic foundation
Pekka NeittaanmäkiE. V. MakeevTero TuovinenNikolay BanichukAlexander BarsukSvetlana A. Ivanovasubject
Elastic beamGeneral MathematicsAerospace EngineeringOcean Engineering02 engineering and technology0203 mechanical engineeringbucklingvariational approachCivil and Structural EngineeringPhysicselastic foundationta214business.industryMechanical Engineeringta111Foundation (engineering)Structural engineering021001 nanoscience & nanotechnologyCondensed Matter PhysicsCompression (physics)020303 mechanical engineering & transportsBucklingMechanics of MaterialsAutomotive EngineeringPhysics::Accelerator Physicsbeams0210 nano-technologybusinessoptimizationBeam (structure)description
We consider an infinite continuous elastic beam that interacts with linearly elastic foundation and is under compression. The problem of the beam buckling is formulated and analyzed. Then the optimization of beam against buckling is investigated. As a design variable (control function) we take the parameters of cross-section distribution of the beam from the set of periodic functions and transform the original problem of optimization of infinite beam to the corresponding problem defined at the finite interval. All investigations are on the whole founded on the analytical variational approaches and the optimal solutions are studied as a function of problems parameters. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-10-20 | Mechanics Based Design of Structures and Machines |