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MINPL optimization of timber trusses considering joint flexibility

机译：考虑联合灵活性的木材桁架的MINPL优化

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The paper presents the shape and discrete sizing optimization of timber trusses with the consideration of joint flexibility. The optimization was performed by the Mixed-Integer Nonlinear Programming (MINLP) approach. In the optimization model an economic objective function for minimizing the structure's self-manufacturing costs was defined. The design conditions in accordance with Eurocode 5 were considered as optimization constraints. The internal forces and deflections were calculated by finite element equations. The structural stifness matrix was composed by considering fictiously decreased cross-sectional areas of all the flexibly connected elements. The cross-section dimensions and the number of fasteners were defined as discrete sizing variables, while the joint coordinates were considered as shape variables. The applicability of the proposed approach is demonstrated through a numerical example, presented at the end of the paper.
机译：本文以关节柔性的考虑，介绍了木材桁架的形状和离散尺寸优化。通过混合整数非线性编程（MINLP）方法执行优化。在优化模型中，定义了最小化结构的自制造成本的经济目标函数。根据EuroCode 5的设计条件被认为是优化约束。通过有限元方程计算内部力和偏转。通过考虑虚弱地减少所有柔性连接的元件的横截面积而构成了结构性矩阵。横截面尺寸和紧固件的数量被定义为离散的尺寸变量，而关节坐标被认为是形状变量。所提出的方法的适用性通过在纸张尽头呈现的数字示例来证明。

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