定性分析结构位移与其截面刚度的关系

围绕结构力学中增加结构各杆的截面刚度是否一定能减小结构位移的问题,运用函数单调性的判定法对平面直杆结构在荷载作用下产生的位移与其截面刚度的关系进行了定性分析,并用算例证明了分析结果.结果表明：对于平面直杆结构,增大各杆的截面刚度,有时不能减小结构位移.

Qualitative analysis on the relationship between structural displacement and sectional rigidity

This article centers on the feasibility of decreasing structural displacement by adding sectional rigidity in structural mechanics study. By employing the method of judging functional monotonicity, the author analyzes the relations between structural displacement and sectional rigidity under loaded plane straight rod, and proves the effectiveness of the analysis result with examples. The results indi- cate that,for plane straight rod structural, adding sectional rigidity at times cannot decrease structural displacement. Questioning and a- nalysis are introduced in this article as the method of qualitative analysis to indicate its effect and importance in structural mechanics study.