硬质合金内衬的组合超高压筒体优化设计  

OPTIMUM DESIGN OF COMPOUND CYLINDERS WITH SINTERED CARBIDE INNER LINER UNDER ULTRAHIGH PRESSURE

作　　者：袁格侠[1,2] 刘宏昭[1] 王忠民[1] 

机构地区：[1]西安理工大学机械与精密仪器工程学院,西安710048 [2]宝鸡文理学院机电研究所,宝鸡721007

出　　处：《工程力学》2011年第1期212-218,共7页Engineering Mechanics

基　　金：宝鸡文理学院重点科研项目(ZK0727);陕西省重点学科建设专项资金项目;陕西省教育厅专项科研计划项目(2010JK397);宝鸡市2010年科技计划工业攻关项目

摘　　要：研究了硬质合金内衬的多层组合超高压筒体的强度优化设计。以等强度理论为设计原则,建立了以各外层径比(外径与内径的比值)为变量,容器总径比为约束,弹性承压能力最大为目标的优化设计数学模型。应用Lagrange乘子法进行优化,得到了各层最优径比公式及最大内压公式。在此基础上,从叠加原理出发,推导了不同材料多层容器的层间缩套压力及过盈量的最优精确解。最后通过实际算例与分析表明,硬质合金内衬的组合容器需要更大的缩套压力,对于三层容器,中间层和内衬主要承担径向压应力,而外层主要承担周向拉应力。An optimum design approach is presented to improve the strength of compound vessels with sintered carbide inner liner under ultrahigh pressure.The design is based on equal-strength principle in this investigation;the wall ratio（ratio of outer to inner radii） of each outer layer is selected as design variable.With fixed total wall ratio,the optimization model with maximum elastic pressure capacity is built.Lagrange multipliers method is used to obtain the optimal design formula of wall ratio of each layer and the formula of maximum inner pressure,from which the optimum exact solutions of shrinkage pressure and radial interference are derived using the superposition principle.The practical example has proved that the compound vessels with sintered carbide inner liner require the larger shrinkage pressure than the compound vessel without the liner.For the three-layer compound vessel,the middle layer and inner liner resist radial compressive stress mainly,whereas the outer layer resists hoop tensile stress mainly.

关 键 词：组合筒体 硬质合金内衬 等强度优化设计 缩套配合 过盈量精确解 

分 类 号：TQ051.3[化学工程] TB125[理学—工程力学]