ABSTRACT Tapered members produced by robotic fabrication techniques offer architectural and structural advantages and have the potential to become more prevalent than prismatic members. However, the conventional analysis and design methods based on simplified assumptions such as equivalent stiffness cannot be used to accurately evaluate a member's performance. To provide a reliable and practicable stability design method, a direct analysis method of tapered I sections is proposed. A mixed-field tapered beam-column element is derived for use within the modeling of structural frames. The effects of initial geometric imperfection and additional shear stress are directly considered in the element formulation. A polynomial describing the member's critical initial out-of-plumbness is adopted, and an arbitrarily located internal hinge is incorporated in the element to enhance the element's deformation capacity and capture the behaviors of the most critical section. Displacement and force interpolation matrices incorporating the shear deformation are utilized, and the Gauss quadrature method is employed to evaluate the element stiffness matrix. Finally, verification examples demonstrate that the proposed method can be used to accurately and efficiently evaluate the performance of tapered members, indicating that the element can be conveniently employed in member and frame analysis and design.

中文翻译：

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用于直接分析锥形 I 形截面构件的混合场 Timoshenko 梁柱单元

摘要由机器人制造技术生产的锥形构件具有建筑和结构优势，并且有可能比棱柱形构件更普遍。然而，基于等效刚度等简化假设的传统分析和设计方法无法准确评估构件的性能。为了提供一种可靠可行的稳定性设计方法，提出了一种锥形I截面的直接分析方法。导出了混合场锥形梁柱单元，用于结构框架的建模。在单元公式中直接考虑了初始几何缺陷和附加剪应力的影响。采用多项式描述成员的临界初始不垂直度，并且在单元中加入了任意位置的内部铰链，以增强单元的变形能力并捕获最关键部分的行为。利用包含剪切变形的位移和力插值矩阵，并采用高斯正交方法来评估单元刚度矩阵。最后，验证实例表明该方法可以准确有效地评估锥形杆件的性能，表明该单元可以方便地用于杆件和框架分析和设计。采用高斯求积法计算单元刚度矩阵。最后，验证实例表明该方法可以准确有效地评估锥形杆件的性能，表明该单元可以方便地用于杆件和框架分析和设计。采用高斯求积法计算单元刚度矩阵。最后，验证实例表明该方法可以准确有效地评估锥形杆件的性能，表明该单元可以方便地用于杆件和框架分析和设计。