位移法与梁挠曲线微分方程的联合应用

位移法是结构力学中一种重要方法,其应用前提是已知杆件单元在各种荷载作用下的固端力。求解杆件单元固端力这类问题除了用力法之外,还可通过梁的挠曲线微分方程和位移法共同求解。分析这类结构的变形条件后发现,可先把原结构化为静定结构,用梁的挠曲线微分方程计算结点位移,然后把静定结构还原为原结构,此过程中施加的力即为固端力,该固端力可用位移法基本公式计算。实践表明该方法简单,便于应用。

Combined Application of Displacement Method with Beam Deflection Differential Equation

Displacement method is an important method in structural mechanics,and it is a premise to apply that fixed-end forces of member element under loads are known. Solving fixed-end forces of member element can use force method,in addition,it can use the beam deflection differential equation with displacement method. By analysis of the structural deformation,it found that the original structure can be transformed into a static structure,with the beam deflection differential equation to solve the node displacement,then restore the static structure to the original structure,the forces imposed in the process are fixed-end forces, which can be solved by displacement method basic formula. Practice shows that the method is simple and easy for application.