摘要
对深孔弧形闸门支臂最优布置个数问题进行研究,根据中柔度压杆弹塑性稳定理论和钢结构设计理论,研究整体框架稳定与单根支臂稳定的关系,将框架结构的弹性稳定分析转化为支臂计算长度系数的确定问题。在保证强度、刚度、整体稳定性和局部稳定性的前提下,以支臂总用钢量最小为目标建立优化模型,并利用MATLAB自带的M语言开发集支臂个数优化与截面尺寸优化为一体的SQP优化程序。算例表明:在工程条件许可情况下,尽可能让弧形门半径取满足规范较小的值;纵向和横向布置形式主要取决于孔口宽高比,当宽高比小于0.6或大于1.4时,布置6根支臂;当宽高比为0.6～1.4时,要视总水压力大小布置4根或9根支臂,其界限为6.2×108N,小于该值时布置4根支臂,反之则布置9根支臂。该优化模型可为生产设计参考应用,以减小支臂布置时的盲目性,对规范的修订也有参考价值。
This paper focuses on the issue of optimal number of gate arms of a deepwater radial gate.According to the theories of elastic-plastic stability and steel structure design for the compression bars of medium-flexibility,the relationship between frame structure stability and single arm stability is studied,and the issue of frame elastic stability is transformed into the determination of calculation length coefficient of the arms.An optimal model is developed to minimize the total amount of steel material under the required strength,stiffness,integral stability and local stability,and the advantage of M language built-in MATLAB is taken to obtain a SQP code to optimize both the arm numbers and the arm cross-section.A case study indicates that the optimal longitudinal and transverse arm layouts depend on the width-height ratio of the outlet.Six arms are optimal for width-height ratio less than 0.6 or greater than 1.4,while four or nine arms are optimal for the ratio in the range from 0.6 to 1.4 where the total water pressure force must be considered,i.e.four arms if the pressure less than 6.2 × 108N and nine arms otherwise.The optimal model would provide reference for practical design to reduce the blindness of arm layout and for revision of the design specifications.
出处
《水力发电学报》
EI
CSCD
北大核心
2010年第5期147-152,158,共7页
Journal of Hydroelectric Engineering
基金
国家"863"计划(2002AA62Z3191)
陕西省自然科学基金项目(907C19)
