薄壁杆约束扭转的单肢解析化分析方法

针对薄壁杆件约柬扭转的基本受力反应分析问题,采用与符拉索夫的经典约束扭转理论截然不同的立论途径,将自由扭转刚度视为调整因素,而将剥离了该抗力效应的薄壁杆件基本体系作为主要分析对象,推导出基于翘曲理论并考虑了自由扭转刚度影响的杆件刚度方程及结问荷载的等效措施.此外,提出了基于微段薄壁杆简化单刚的有效数值化分析方法.上述研究表明,对于钢构件等具有薄壁构型截面形式的杆件,这种单肢解析化分析方法无需进行复杂的截面特性如弯、翘曲惯矩或弯、形心坐标等的分析,力与变形的表达简洁、直接,本文的抗力性能分析和表述方式可为薄壁构件的稳定及畸变等研究提供新的思路切入点.

Slabs-disassembled method of thin-walled bar analysisconsidering restrained torsion

The method used in the analysis of thin-walled bars in this paper is distinct from that of V.Z. Vlasov's. The resistance system of a thin-walled bar is divided here into two parts: the first part contains torsional rigidity only while the second part consists of all but torsional rigidity. The interaction forces between the two parts represented by the shear forces on the middle surface of the thin-walled bar are derived. The resistance forces of the first system, together with external loads, are applied to the second system whose performance has been studied carefully, then the element stiffness matrix and the equivalent nodal forces of external loads of the bar are deduced. The new method, consequently, doesn't need the calculation of sectional properties, such as the warping constant and the moment of inertia. Further more, based on this expression of stiffness, the buckling and distortional analysis of thin-walled members can be carried out.