第42卷第2期
航空发动机Vol. 42No. 2
鼠笼式弹性支承结构参数分步优化设计方法
唐瑞1，郭健1，罗忠1，王德友2，刘永泉2
（1. 东北大学机械工程与自动化学院，沈阳110819；2. 中航工业沈阳发动机设计研究所，沈阳110015）
摘要：为进一步提高鼠笼式弹性支承结构支承刚度设计的准确性，同时最大限度地减小鼠笼受到的最大应力，在相关研究的基础上，基于参数化建模思想，并结合有限元优化技术提出分步优化设计方法。采用鼠笼式弹性支承的刚度和应力计算公式并结合加工装配条件初定1组满足设计要求的结构参数值；建立鼠笼式弹性支承的有限元优化模型，并将初定的结构参数值代入到有限元优化模型作为优化的初始迭代值，同时以鼠笼笼条的长度和厚度为优化参数，经过迭代计算得到满足工程需求的结构参数。该方法可提高设计精度，节省设计时间。最后，结合具体算例验证了优化设计方法的有效性和实用性。
关键词：鼠笼式弹性支承；有限元法；优化设计；参数化建模；支承刚度；航空发动机
中图分类号：V231.92文献标识码：A doi ：10.13477/j.cnki.aeroengine.2016.02.008
Optimal Design Method of Squirrel Cage Elastic Support by Stages
TANG Rui 1, GUO Jian 1, LUO Zhong 1, WANG De-you 2, LIU Yong-quan 2
( 1. School of Mechanical Engineering &Automation , Northeastern University , Shenyang 110819, China ; 2. AVIC Shenyang Engine
Design and Research Institute , Shenyang 110015, China )
Abstract:In order to improve the accuracy of support stiffness design for squirrel cage elastic support and reduce the maximal stress of squirrel cage into capacity, a kind of by-stages optimization design method based on the idea of the parametric modeling as well as the finite element optimization techniques was proposed on the basis of correlation research. In this design, the stiffness and stress calculation formula of squirrel cage elastic support combined with processing and assembly condition were used to previously select a combination of structure parameter meeting the design requirements, then the finite element optimization model of the squirrel cage elastic support was established, and the structural parameters were substituted into the model as the initial values to optimize the length and thickness of squirrel cage elastic support, a reasonable structure parameter meeting the engineering demands was obtained after several iterative applicability of the method were validated through a concrete example of squirrel cage elastic support.
aeroengine computations. The optimization design method saves much time and improves the accuracy of results in design. Finally, efficiency and Key words:squirrel cage elastic support ; finite element method ; optimization design ; parametric modeling ; support stiffness ; 0引言
鼠笼式弹性支承常用于航空发动机中，以调节转
子临界转速并实现减振[1-2]，但其在工作中易发生疲劳
破坏[3-4]，因此其刚度和强度特性对发动机性能影响很
大。为了能高效地设计出满足要求的鼠笼式弹性支
承，有必要完善其设计方法。
目前，鼠笼式弹性支承的设计有2种思路：1种思路是凭借设计经验，结合其刚度和应力计算公式，通过试凑的方法寻找满足设计要求的结构参数值，这种方法设计效率偏低；另1种思路是根据其刚度和应力计算公式建立优化模型，再结合遗传算法等优化算法搜索满足要求的参数值[3]。这种方法的精确取决于计算公式的精确性，但在笼条刚性较大和笼条根部有圆角的情况下，刚度和应力计算公式的精度会大大下降[5]，因此这种优化方法设计精度不够，适用范围也不收稿日期：2015-05-29基金项目：国家重点基础研究发展计划（2012CB026005）、国家自然科学基金（51105064,11572082）资助
作者简介：唐瑞（1992），男，在读硕士研究生，研究方向为转子动力学；E-mail ：[email protected]。PDF pdfFactory Pro
第42卷第2期
航空发动机Vol. 42No. 2
鼠笼式弹性支承结构参数分步优化设计方法
唐瑞1，郭健1，罗忠1，王德友2，刘永泉2
（1. 东北大学机械工程与自动化学院，沈阳110819；2. 中航工业沈阳发动机设计研究所，沈阳110015）
摘要：为进一步提高鼠笼式弹性支承结构支承刚度设计的准确性，同时最大限度地减小鼠笼受到的最大应力，在相关研究的基础上，基于参数化建模思想，并结合有限元优化技术提出分步优化设计方法。采用鼠笼式弹性支承的刚度和应力计算公式并结合加工装配条件初定1组满足设计要求的结构参数值；建立鼠笼式弹性支承的有限元优化模型，并将初定的结构参数值代入到有限元优化模型作为优化的初始迭代值，同时以鼠笼笼条的长度和厚度为优化参数，经过迭代计算得到满足工程需求的结构参数。该方法可提高设计精度，节省设计时间。最后，结合具体算例验证了优化设计方法的有效性和实用性。
关键词：鼠笼式弹性支承；有限元法；优化设计；参数化建模；支承刚度；航空发动机
中图分类号：V231.92文献标识码：A doi ：10.13477/j.cnki.aeroengine.2016.02.008
Optimal Design Method of Squirrel Cage Elastic Support by Stages
TANG Rui 1, GUO Jian 1, LUO Zhong 1, WANG De-you 2, LIU Yong-quan 2
( 1. School of Mechanical Engineering &Automation , Northeastern University , Shenyang 110819, China ; 2. AVIC Shenyang Engine
Design and Research Institute , Shenyang 110015, China )
Abstract:In order to improve the accuracy of support stiffness design for squirrel cage elastic support and reduce the maximal stress of squirrel cage into capacity, a kind of by-stages optimization design method based on the idea of the parametric modeling as well as the finite element optimization techniques was proposed on the basis of correlation research. In this design, the stiffness and stress calculation formula of squirrel cage elastic support combined with processing and assembly condition were used to previously select a combination of structure parameter meeting the design requirements, then the finite element optimization model of the squirrel cage elastic support was established, and the structural parameters were substituted into the model as the initial values to optimize the length and thickness of squirrel cage elastic support, a reasonable structure parameter meeting the engineering demands was obtained after several iterative applicability of the method were validated through a concrete example of squirrel cage elastic support.
aeroengine computations. The optimization design method saves much time and improves the accuracy of results in design. Finally, efficiency and Key words:squirrel cage elastic support ; finite element method ; optimization design ; parametric modeling ; support stiffness ; 0引言
鼠笼式弹性支承常用于航空发动机中，以调节转
子临界转速并实现减振[1-2]，但其在工作中易发生疲劳
破坏[3-4]，因此其刚度和强度特性对发动机性能影响很
大。为了能高效地设计出满足要求的鼠笼式弹性支
承，有必要完善其设计方法。
目前，鼠笼式弹性支承的设计有2种思路：1种思路是凭借设计经验，结合其刚度和应力计算公式，通过试凑的方法寻找满足设计要求的结构参数值，这种方法设计效率偏低；另1种思路是根据其刚度和应力计算公式建立优化模型，再结合遗传算法等优化算法搜索满足要求的参数值[3]。这种方法的精确取决于计算公式的精确性，但在笼条刚性较大和笼条根部有圆角的情况下，刚度和应力计算公式的精度会大大下降[5]，因此这种优化方法设计精度不够，适用范围也不收稿日期：2015-05-29基金项目：国家重点基础研究发展计划（2012CB026005）、国家自然科学基金（51105064,11572082）资助
作者简介：唐瑞（1992），男，在读硕士研究生，研究方向为转子动力学；E-mail ：[email protected]。PDF pdfFactory Pro