移动荷载下杆系结构内力包络图的精确计算

AN EXACT METHOD FOR COMPUTING INTERNAL FORCE ENVELOPES OF SKELETAL STRUCTURES UNDER MOVING LOADS

提出移动荷载作用下杆系结构内力包络图的精确计算方法。通过引入内力影响面和内力面概念,建立了结构内力随移动荷载位置变化的二元函数关系,该函数在荷载坐标方向上的最大值和最小值即为相应的内力包络值。该文采用最少数量的基础解组合得出这一二元函数,因而具有计算量少、结果精确的特点。数值算例表明该方法是一个精确、高效、实用的方法。

An exact method for computation of envelopes of various internal forces of skeletal structures under moving loads is developed. The functions with two variables defining the relationship between the structural internal forces and the place of the moving loads are set up by introducing the conception of the influence surfaces of internal forces. The maximum and minimum values of these functions along the loading locations form the envelopes of internal forces. These functions are calculated by combining a minimum set of basis solutions. Therefore, the proposed method is not only exact but also very economical. Typical numerical examples are provided to show the validity, applicability, accuracy and efficiency of the proposed method.