压杆稳定设计的直接迭代法

A Direct Iteration Method for the Stability Designs of Compressed Bars

研究了一种压杆稳定设计的迭代法——直接迭代法,利用Maple编写了压杆设计迭代法的计算机程序。对迭代法程序进行了系列算例设计。用直接迭代法设计了连杆的圆截面直径:对于给定不同的柔度初始值,其结果在各柔度范围内都是收敛的。对不同给定参数(杆长,支承,轴向压力),系列设计了截面直径。实例表明:直接迭代法适合截面是规则图形的压杆稳定性设计。迭代法与Maple语言相结合设计压杆,稳定性好,精确性高,可靠性强,快速、便捷,大大提高了计算效率。所编的程序可进一步扩充,扩大其应用范围。

An iteration method--direct iteration method, is used to study the stability design of compressed bar. By means of MAPLE, a computer program about the stability design of compressed bar is compiled. An example is put forward to illustrate the method. By the direct iteration method, the diameters of the circular section bars are designed. The results show that the designed diameters of the circular section bars by the direct iteration methods are convergent at the ranges of varieties of initial values. As to varieties of given parameters （length, length factor, axial force）, a series of designed diameters are determined. The cases show that the direct iteration method is appropriately used to stability design for regular sections. The results of this iteration method with compiling MAPLE program to design the stability of the compressed bar, are steady, efficient, reliable and convergent at the ranges of varieties of length-slender ratio. The computing efficiency is much more improved. The methods are fast and simple for the stability design of the compressed bar. The programs can still be expanded, so their application fields can be enlarged.