薄壁构件横截面不对称参数的通用求和公式
发布时间：2018-08-12 13:42
【摘要】：薄壁构件横截面不对称参数是计算弯扭屈曲临界弯矩的重要几何参数之一。该文推导了非形心主轴坐标系下不对称参数的积分公式,由不对称参数的积分公式推导了不对称参数的通用求和公式,进而化简得到单轴对称截面不对称参数的求和公式。采用不对称参数的通用求和公式推导了部分常用截面的β_x和(或)β_y的精确计算式或近似计算式,并对我国现行国标GB 50017-2003和GB 50018-2002、美国2013版AISI设计手册和SSRC协会的稳定设计指导、澳大利亚标准AS/NZS 4600:2005等现有文献中β_x和(或)β_y计算式的精度进行了判定。研究表明,不对称参数通用求和公式的形式简单、计算可靠、便于应用。
[Abstract]:Asymmetric cross-section parameters of thin-walled members are one of the important geometric parameters for calculating critical bending moment of bending and torsional buckling. In this paper, the integral formula of asymmetrical parameters in non-centroid spindle coordinate system is derived. The general sum formula of asymmetric parameters is derived from the integral formula of asymmetric parameters, and then the sum formula of asymmetric parameters of uniaxial symmetric cross-section is obtained. By using the general summation formula of asymmetrical parameters, the exact formulas or approximate formulas of 尾 -AX and / or 尾 -Stup _ y of some commonly used sections are derived, and the guidance for the stability design of GB 50017-2003 and GB 50018-2002, the 2013 edition AISI design manual of the United States and the SSRC Association is given. The accuracy of the calculation formula of 尾 _ S _ x and / or 尾 _ s _ y in the existing literature of Australian standard AS/NZS 4600: 2005 has been determined. The results show that the general summation formula of asymmetric parameters is simple in form, reliable in calculation and convenient in application.
【作者单位】： 兰州大学西部灾害与环境力学教育部重点实验室土木工程与力学学院;重庆大学土木工程学院;
【基金】：国家自然科学基金项目(51308272)
【分类号】：TB12
本文编号：2179229
[Abstract]:Asymmetric cross-section parameters of thin-walled members are one of the important geometric parameters for calculating critical bending moment of bending and torsional buckling. In this paper, the integral formula of asymmetrical parameters in non-centroid spindle coordinate system is derived. The general sum formula of asymmetric parameters is derived from the integral formula of asymmetric parameters, and then the sum formula of asymmetric parameters of uniaxial symmetric cross-section is obtained. By using the general summation formula of asymmetrical parameters, the exact formulas or approximate formulas of 尾 -AX and / or 尾 -Stup _ y of some commonly used sections are derived, and the guidance for the stability design of GB 50017-2003 and GB 50018-2002, the 2013 edition AISI design manual of the United States and the SSRC Association is given. The accuracy of the calculation formula of 尾 _ S _ x and / or 尾 _ s _ y in the existing literature of Australian standard AS/NZS 4600: 2005 has been determined. The results show that the general summation formula of asymmetric parameters is simple in form, reliable in calculation and convenient in application.
【作者单位】： 兰州大学西部灾害与环境力学教育部重点实验室土木工程与力学学院;重庆大学土木工程学院;
【基金】：国家自然科学基金项目(51308272)
【分类号】：TB12
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