类波纹板夹层圆柱壳的优化设计及强度可靠性分析  

OPTIMAL DESIGN AND STRENGTH RELIABILITY ANALYSIS OF CYLINDRICAL SHELL WITH CORRUGATED PLATE-LIKE SANDWICH

作　　者：李宁[1] 刘海涛 LI Ning;LIU HaiTao(School of Mechanical Engineering,Hebei University of Technology,Tianjin 300401,China)

机构地区：[1]河北工业大学机械工程学院,天津300401

出　　处：《机械强度》2020年第6期1356-1361,共6页Journal of Mechanical Strength

基　　金：国家自然科学基金项目(11702079);河北省优秀青年科学基金项目(A2017202107)资助。

摘　　要：针对耐压圆柱壳体在满足强度要求下的轻量化问题,设计一种类波纹板夹层圆柱壳模型。针对该圆柱壳体,建立类波纹板单胞优化模型,通过响应面优化法,得到了单胞满足强度要求时质量最小的结构参数,并分析设计参数对目标函数和约束函数的影响。然后利用有限元软件Ansys Workbench校核优化后轻质夹层圆柱壳的强度,仿真结果表明:最大应力值为264.81 MPa且出现在相邻两夹层外蒙皮上,能够满足设计强度要求。最后针对强度分析中几何参数、材料属性和载荷存在的随机性,建立了应力-强度干涉模型并通过蒙特卡洛法求解,结果显示随机变量影响下的最大应力值小于340 MPa的可靠度已经超过了0.99,保证了此结构强度安全可靠性。以上分析表明,类波纹板轻质夹层结构应用于耐压壳体是可行的,该研究可为耐压壳体轻量化设计提供一定的参考依据。In order to solve the lightweight problem of pressure cylindrical shell under the requirement of strength,a model of cylindrical shell with corrugated plate-like sandwich is designed in this paper.Firstly,for the cylindrical shell,the unit cell optimization model of the corrugated plate-like is established.The structural parameters with minimum mass are obtained by the response surface optimization method under the strength requirements of unit cell.The influence of design parameters to objective function and constraint function is analyzed.Then the strength of the optimized light sandwich cylindrical shell is checked by the finite element software ANSYS Workbench.The simulation results show that the maximum stress value is 264.81 MPa and appears on the outer skin of between two corrugated plate-like,which can meet the strength design requirements.Finally,in view of the randomness of geometric parameters,material properties and load in strength analysis,the stress-strength interference model is established and solved by Monte Carlo method.The results show that the reliability of maximum stress less than 340 MPa is more than 0.99,which ensures the strength safety and reliability of the structure.The above analysis shows that the application of corrugated plate-like sandwich structure to the pressure shell is feasible and this study can provide a certain reference basis for the lightweight design of the pressure shell.

关 键 词：类波纹板 响应面法 应力-强度模型 蒙特卡罗法 

分 类 号：TB31[一般工业技术—材料科学与工程] TB121[理学—工程力学]