一类非理想杆端约束下的转角位移方程

将结构的结点视为理想和非理想结点,建立了一类非理想杆端约束——弹性结点的基本概念,给出了杆端均为非理想和一端为理想约束、另一端为非理想约束情况下的转角位移方程。通过比较表明,该方程更具一般性,两端理想约束下的转角位移方程可视为其特例。举例说明了该方程的应用及结构内力随杆端约束的变化情况。

SLOPE-DEFLECTION EQUATION WITH A TYPE OF NON-IDEAL CONSTRAINTS AT END OF BEAM

The joints of structure can be regarded as ideal and non-ideal. In this paper, a basic concept of a type of non ideal constraints at end of beam—an elastic joint is established. The slope-deflection equation is deduced and used for both the beam with two non-ideal ends and the beam with one non-ideal end and one ideal end. By comparison, the slope deflection equation with non-ideal constraint is more general and the old equations with ideal constraints is a special example of this new equation. The application of these equations and internal force variation of the structure with different constraints are explained in an given example.