研究了扁桁架结构的稳定性问题,提出了中等扁度桁架稳定分析的几何非线性临界点一欧拉理论.引入杆件应变能密度为1的条件,以欧拉稳定条件为约束,在精确的变形一位移下构造了高精度的迭代方法,准确地求解了杆件截面积和内力的稳定临界解.给出了数值例题,说明了该理论的有效性,并对已有的各种稳定性分析理论进行了评述.
The stability of shallow truss structures is studied. A geometrically nonlinear critical-point-Eulerian theory is presented for analysis of stability of the trusses with medium oblatenesses. A precise iteration scheme is developed to solve critical Values of cross-sectional areas and internal forces by using the exact relation between displacement and strain along with constraints of unity stress intensity of members and the Euler's stability condition. The numerical examples show the present theory is effective. In addition, comments are given on several other existent theories of stability analysis.