LOST QUICK SOLUTIONS IN LONG STRIP BENDING PROBLEM

Abstract

Aconstruction with the method of the simple iterations the modelproblemof the bending a long thin strip approximateequations is considered. The obtained resolving equationscoin- cide with the equations of the strength of materialsin the principal terms and give the formula for all the theory of elasticity unknowns. The equations are in the agreement with the methods of Saint-Venant, Timoshenko and Reissner for slowly varying quantities.The obtained boundary layer typenew equations for the fast varying values are used when concentrated loads and other singular perturbations take places.

Keywords

• полоса
• балка
• сосредоточенная нагрузка
• малый параметр