上海交通大学学报(自然版) ›› 2011, Vol. 45 ›› Issue (04): 528-533.

• 建筑科学 • 上一篇    下一篇

基于等稳定水准的中厚板加劲肋优化设计

程斌,赵金城,肖汝诚   

  1. (1.上海交通大学 船舶海洋与建筑工程学院,上海 200240; 2.同济大学 土木工程学院,上海 200092)
  • 收稿日期:2010-02-01 出版日期:2011-04-29 发布日期:2011-04-29
  • 基金资助:

    高等学校博士学科点专项科研基金项目资助(20090073120012)

EqualStability Level Based Optimal Stiffener Design for Moderately Thick Plates

 CHENG  Bin, ZHAO  Jin-Cheng, XIAO  Ru-Cheng   

  1. (1. School of Naval Architecture, Ocean & Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China; 2. School of Civil Engineering, Tongji University, Shanghai 200092, China)
  • Received:2010-02-01 Online:2011-04-29 Published:2011-04-29

摘要: 在柔性加劲理论的基础上,以单轴均匀受压板件为对象,利用小刚度加劲厚板极限强度公式,提出了基于等稳定水准的中厚板加劲肋优化设计的具体方法.优化过程以加劲肋尺寸和数量为决策变量,以单位重量母板的加劲肋用钢量为目标函数,并以加劲板发生整体失稳破坏、肋间母板和加劲肋不发生局部屈曲、加劲板极限强度满足设计要求等作为约束条件.优化工作采用有约束混合整数非线性规划和有约束非线性规划理论,并结合MATLAB和YALMIP优化工具箱进行.算例分析表明,对中厚板采用基于等稳定水准的加劲肋优化设计是安全可行的.在满足相同的加劲板极限强度需求条件下,给出的加劲肋布置形式具有比刚性加劲设计更好的工程经济效益,且板件宽厚比越小,加劲肋用钢量的节约效果就越明显.

关键词: 中厚板, 加劲肋, 单轴受压, 等稳定水准, 优化设计

Abstract: Based on the theory of flexiblestiffener, an equalstability level based optimal stiffener design method was proposed for moderately thick plates by taking the uniaxially compressed stiffened panels as objects and utilizing the ultimate strength formulations of weakly stiffened thick panels. During the optimization process, the numbers and geometric sizes of stiffeners are chosen as design variables; the weight ratio of stiffeners to plate is defined as single objective function; a series of restrictions such as stiffened panel collapsing according to the overall buckling mode, stiffeners and plates between stiffeners being avoided from locally buckling, and panel’s ultimate strength meeting the corresponding design requirements are set as constraint functions. Two optimization theories named constrained mixed integer nonlinear programming (CMINLP) and constrained nonlinear programming (CNLP) are adopted, and two optimization tools, MATLAB and YALMIP, are employed. The results of examples show that the equalstability level based optimal stiffener design is safe and feasible for moderately thick plates. The present method gives a more economical stiffener layout than the current rigidstiffener design method on the premise of the same requirement of panel’s ultimate strength, and the stiffener’s consumption is less as the panel’s slenderness ratio is decreased.

Key words: moderately thick plate, stiffener, uniaxial compression, equalstability level, optimization design

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