Title |
Stability Analysis of Shear-Flexible and Semi-Rigid Plane Frames |
Keywords |
semi-rigid;shear deformation;frame;buckling;stability function;tangent stiffness matrix;elastic and geometric stiffness matrix;부분강절;전단변형;뼈대구조;좌굴;안정함수;접선강도행렬;탄성 및 기하학적 강도행렬 |
Abstract |
Generally the connection of structural members is assumed as hinge, rigid and semi-rigid connections. The exact tangent stiffness matrix of a semi-rigid frame element is newly derived using the stability functions considering shear deformations. Also, linearized elastic- and geometric-stiffness matrices of shear deformable semi-rigid frame are newly proposed. For the exact stiffness matrix, an accurate displacement field is introduced by equilibrium equation for beam-column under the bending and the axial forces. Also, stability functions considering sway deformation and force-displacement relations with elastic rotational spring on ends are defined. In order to illustrate the accuracy of this study, various numerical examples are presented and compared with other researcher"s results. Lastly, shear deformation and semi-rigid effects on buckling behaviors of structure are parametrically investigated. |