中部任意位置定向支承加固的压杆稳定性计算

Stability Calculation of Long Column under Directional Support in Any Position of Central

摘要: 为了丰富压杆的稳定性研究内容和方便工程应用之目的，用初参数法，对中部任意位置增加一个定向支承加固的七种压杆，建立了统一的变形方程和静力平衡方程。由各自的变形和静力约束条件，导出了求解临界压力的特征方程。借助软件，求得了压杆的长度因数与中部支承位置间的近似或精确关系；同时确定了中部支承的最佳位置和最小长度因数，以及最差位置和最大长度因数。经验证，结果符合理论预期。

Abstract: For enriching the research content about the stability of a long column and making it convenient in the engineering application, by using the initial parameters method, seven kinds of long column are strengthened by directional support in any position of central, and the unified deformation equa-tions and static force equilibrium equations are established. By the respective constraint conditions of deformation and static force, the characteristic equations of critical force are solved. By software, the approximate or accurate relationship between the factor of length of long column and the posi-tion of the central directional support are determined; at the same time, the best position of the central directional support and the minimum factor of length, and the worst position and the maximum factor of length are all determined. The result is verified according with theoretical expectation.