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一、问题的提出满应力设计是最轻设计的一个有效方法,但是它可能不收敛于最优点.为了避免这种情况,人们对满应力设计方法加以修改,提出了齿行法.但齿行法也有缺点,齿行法的有效性和初始设计点的位置有关;而且由于满应力步的步距太大,会使得到的近似最优点离真正的最优点较远.为了克服上述缺点,我们以桁架优化设计常用的一个考题(图1所示的三杆超静定桁架)为例,分析一下齿行法的实质.
First, the issue of the proposed full stress design is an effective method of the lightest design, but it may not converge to the best. In order to avoid this situation, people modify the full stress design method, put forward a tooth method. But the tooth line There are also drawbacks to the method. The effectiveness of the method of dents is related to the position of the initial design point; and because the step length of the full stress step is too large, the approximate best value obtained will be farther away from the true best. In order to overcome the above shortcomings, we Take the example of a commonly used truss optimization design (three-bar statically indeterminate truss shown in Fig. 1) as an example to analyze the essence of the dentition method.