Numerical study of the stress-strain state of reinforced plate on an elastic foundation by the Bubnov-Galerkin method

Energy Management of Municipal Transportation Facilities and Transport - EMMFT 2017

Beskopylny, Alexey^1 ; Kadomtseva, Elena^1 ; Strelnikov, Grigory^1

Don State Technical University, sq. Gagarin, 1, Rostov-on-Don

344010, Russia^1

关键词: Bubnov-Galerkin methods;    Calculation scheme;    Elastic foundation;    Geometric characteristics;    Legendre polynomials;    Special polynomials;    Stress strain state;    Unknown coefficients;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/90/1/012017/pdf
DOI  :  10.1088/1755-1315/90/1/012017

来源: IOP

【 摘 要 】

The stress-strain state of a rectangular slab resting on an elastic foundation is considered. The slab material is isotropic. The slab has stiffening ribs that directed parallel to both sides of the plate. Solving equations are obtained for determining the deflection for various mechanical and geometric characteristics of the stiffening ribs which are parallel to different sides of the plate, having different rigidity for bending and torsion. The calculation scheme assumes an orthotropic slab having different cylindrical stiffness in two mutually perpendicular directions parallel to the reinforcing ribs. An elastic foundation is adopted by Winkler model. To determine the deflection the Bubnov-Galerkin method is used. The deflection is taken in the form of an expansion in a series with unknown coefficients by special polynomials, which are a combination of Legendre polynomials.