基于节点构形度的单层柱面网壳稳定优化设计

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (9) : 74-79.

论文

陆明飞，叶继红

作者信息 +

Stability optimization design for single-layer cylindrical domes based on joint well-formedness

LU Ming-fei, YE Ji-hong

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文章历史 +

摘要

稳定是单层柱面网壳结构分析与设计中的关键因素。本文从节点构形度的视角，考虑外在因素中与稳定问题直接相关的核心部分，定义了能全面反映结构静力稳定特性的节点构形度相对变化梯度（gra_r），其最小值（gra_rmin）与稳定承载力直接相关。gra_r能定量地衡量结构丧失稳定的趋势，揭示网壳结构失稳机理。在此基础上，进一步提出了单层柱面网壳稳定优化设计方法。稳定优化模型以gra_rmin最大化为优化目标，离散的杆件截面为优化变量，考虑规范规定的各项设计约束条件，在给定用钢量的前提下，提高结构稳定承载力。两个实际工程算例验证了单层柱面网壳稳定优化设计方法的有效性。

Abstract

Stability is a key factor in design and analysis of single-layer cylindrical domes. From the perspective of joint well-formedness, the relative gradient of joint well-formedness (gra_r) was defined here to fully reflect the static stability of structures and consider the core part directly related to stability of external factors, its minimum value (gra_rmin) was directly related to stability loads. It was shown that gra_r can quantitatively measure a structure’s tendency to lose stability and reveal domes’ unstable mechanism. On this basis, the stability optimization design method for single-layer cylindrical domes was proposed. Using the stability optimization model, the maximization of gra_rmin was taken as an objective, and discrete rods’ cross-sections as variables, various design constraint conditions specified in the code were considered, the force-bearing ability for the structure stability was improved under the premise of a given steel-consuming amount. Two practical engineering examples verified the effectiveness of the proposed stability optimization design method for single-layer cylindrical domes.

导出引用

陆明飞，叶继红. 基于节点构形度的单层柱面网壳稳定优化设计[J]. 振动与冲击, 2018, 37(9): 74-79

LU Ming-fei, YE Ji-hong. Stability optimization design for single-layer cylindrical domes based on joint well-formedness[J]. Journal of Vibration and Shock, 2018, 37(9): 74-79

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