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基于Vlasov约束扭转理论,运用符号函数将开口薄壁杆件约束扭转分段函数化简,明确各约束情况下的初始状态向量元素特征,推导出偏心轴向载荷作用下缀板加强开口薄壁杆力法方程的解析式。继而针对简支梁,给出缀板反弯点处剪力解析解。与传统方法对比,表明该方法能在更短时间内获得同等求解精度。最后以两缀板加强的槽型钢架为例,分析缀板处的剪力峰值和疲劳强度随缀板间距的变化规律。结果表明:在相同外双力矩作用下,两缀板加强体系的剪力峰值小于单缀板加强体系;且制约缀板破坏的因素是静强度,并非疲劳强度。
Based on the Vlasov constrained torsion theory, the symbol function is used to simplify the constrained torsion piecewise function of the thin-walled rod with open ends. The initial state vector element characteristics under various constraints are defined. Analytical formula of force law equation. Then for the simply supported beam, an analytical solution of the shear force at the bending point of the slab is given. Compared with the traditional method, this method shows that the method can obtain the same solution accuracy in a shorter time. Finally, taking the grooved steel frame strengthened by two slabs as an example, the change law of the shear peak value and the fatigue strength at the slab is analyzed with the slab spacing. The results show that under the same outer double moment, the shear peak of the two slab-stiffened systems is smaller than that of the slab-stiffened stiffened system; and the factor that restricts the slab damage is static strength, not fatigue strength.