基于一阶薄壁梁理论的开口截面剪应力不均匀系数的精确计算
doi: 10.13204/j.gyjz201510029
ACCURATE CALCULATION OF THE SHEAR STRESS NON-UNIFORM COEFFICIENT ON THE OPEN SECTION BASED ON THE FIRST-ORDER THIN-WALLED BEAM THEORY
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摘要: 为了准确分析剪切变形对开口薄壁杆件力学特性的影响,正确计算考虑剪切变形而产生的剪应力不均匀系数。以一阶薄壁梁理论为基础,根据能量原理得到几种常见开口截面剪应力不均匀系数的精确计算公式,分析讨论截面形状和尺寸参数对剪应力不均匀系数产生影响的基本规律。结果表明:槽形截面剪应力不均匀系数随着高宽比的增大先减小后增大,随宽厚比的增大而增大,随高厚比的增大先增大后减小;Z形截面剪应力不均匀系数随着高宽比的增大而增大,随宽厚比的增大而减小,随高厚比的增大而增大。双轴对称的工字形截面的剪应力不均匀系数是定值。Abstract: In order to analyze accurately the influence of shear deformation on the mechanical characteristic of open thin-walled members,the shear stress non-uniform coefficient was correctly calculated by considering stress shear due to shear deformation. Based on the first-order thin-walled beam theory,the precise calculation formulas of several common open section shear stress non-uniform coefficient were got according to the principle of energy,some basic laws of the influences of the cross section shape and size parameters on the shear stress non-uniform coefficient were discussed. Results showed that as the aspect ratio increased,the shear stress non-uniform coefficient of channel section decreased first,then increased; it increased with the increase of the width-thickness ratio; as the depththickness ratio increased,the shear stress non-uniform coefficient decreases first,then increased. The shear stress non-uniform coefficient of Z section increased with the increase of aspect ratio; it decreased with increasing of the width-thickness ratio; and it increased with the increase of the depth-thickness ratio. The shear stress non-uniform coefficient of a biax symmetric I-section was a constant value.
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