A modeling and collaborative optimization method for pipe shape layout and clamp position in complex piping system

复杂管系“管形布局-卡箍位置”建模与协同优化方法

School of Mechanics and Transportation Engineering, Northwestern Polytechnical University, Xi'an 710129, China

Received: 27 August 2025

Abstract

In the design and failure analysis of a complex multi-clamp piping system in an aero-engine, it is difficult to determine the influence of layout dimension on its structural dynamic characteristics and to rapidly identify its key layout parameters, leading to high blindness and low efficiency. Based on the pipe layout method for a complex piping system, this study proposes a clamp position parameterization method to enable the simultaneous modeling and collaborative optimization of various pipe shapes and clamp layouts. Experiments are conducted to validate the method before and after optimization. First, the inter-point parameterized line segment interpolation method is adopted to define clamp positions, thus allowing the simultaneous transformation of various pipe shapes and clamp positions. Second, the original feasibility problem is transformed into a multi-objective optimization one suitable for dynamic structural analysis. Numerical instances validate the feasibility of this method, with the piping system's dynamic performances significantly improved. Finally, the Spearman correlation coefficient is employed to identify the local sensitivity of each parameter. The hypercube sampling Monte Carlo method is used to convert raw optimization data into statistically significant engineering applicable intervals, realizing the engineering application of the colla-borative optimization method.

摘要

航空发动机上敷设复杂管形-多卡箍管路设计时, 难以确定布局尺寸对管路结构动态特性的影响, 不能快速甄别管路的关键布局参数, 盲目性较大且效率低下。在复杂管系的管形布局方法基础上提出卡箍位置参数化方法, 实现了卡箍和管路协同建模及优化设计, 并开展了优化前后的试验对比验证。采用点间参数化线段插值方法定义了卡箍位置, 可实现各形状管型及卡箍位置的同时变换。将原可行性问题转换为适用于动力学结构的多目标优化问题, 并利用实例验证了该方法的可行性, 管路的动力学性能显著提高。使用Spearman相关系数识别各参数局部灵敏度, 并提出利用超立方抽样蒙特卡洛法将原始优化数据转换为具有统计显著性的工程适用区间, 实现了该协同优化方法的工程应用。