一种相似常数的确定方法及其在转子模型设计中的应用

王艾伦; 黄礼坤; 王前进

doi:10.13433/j.cnki.1003-8728.2015.0403

一种相似常数的确定方法及其在转子模型设计中的应用

doi: 10.13433/j.cnki.1003-8728.2015.0403

1.
中南大学高性能复杂制造国家重点实验室, 长沙 410083

基金项目:

国家自然科学基金项目（51175517）与国家重点基础研究发展计划项目（2013CB035706）资助

详细信息

作者简介:
王艾伦（1959-），教授，博士生导师，研究方向为大型机电装备复杂特性相似模拟研究和系统动力学，walwlz@sohu.com

计量
- 文章访问数: 224
- HTML全文浏览量: 38
- PDF下载量: 5
- 被引次数: 0
出版历程
- 收稿日期: 2013-03-17
- 刊出日期: 2015-04-05

A Method for Determining Similarity Coefficients and Its Application to Rotor Model Design

1.
Key Laboratory of High performance and Complex Manufacturing, Central South University, Changsha 410083

摘要

摘要: 提出了一种基于优化理论的相似常数确定方法，即以相似常数为优化变量，以模型的某些功能相似指标为优化目标，采用合适的优化算法寻找出最优解，从而确定相似常数。继而将该方法应用于某转子系统缩比模型相似常数的确定，对方法的可行性进行了验证。根据该方法建立的缩比模型与原型满足特定相似，两者既可能完全相似也可能不完全相似，而根据相似理论建立的缩比模型仅仅是根据本文方法建立的所有缩比模型中的一个特例。该方法较好解决了不完全相似模型相似常数的合理取值问题。
- 相似常数 /
- 优化理论 /
- 不完全相似模型 /
- 模型设计
Abstract: A method for determining the similarity coefficients based on the optimization theory is put forward. The method regards the similarity coefficients as optimization variables and defines the functional index of a model as optimization objective. Then a case of rotor model design is provided to demonstrate the feasibility of our method. The design results show that the model based on this method is similar to the prototype. Particularly, the model based on the similarity theory is a special case of the model based on our method. It contributes a solution for determining the similarity coefficients of the incomplete similarity model and provides a new theoretical basis for designing models of a complex system.
- computer software /
- conformal mapping /
- constrained optimization /
- design

HTML全文

参考文献(12)

[1]	左东启等.模型试验的理论和方法[M].北京:水利出版社,1984 Zuo Q D. The theory and method of model test[M]. Beijing:Water Conservancy Press,1984 (in Chinese)
[2]	Gang X Y, Wang D F, Su X J. A new similitude analysis method for a scale model test[J]. Key Engineering Materials,2010,439:704-709
[3]	Szucs E. Similitude and modeling[M]. New York: Elsevier Scientific Publishing Company,1980:16-18
[4]	Oshiro R E, Alves M. Predicting the behavior of structures under impact loads using geometrically distorted scaled models[J]. Journal of the Mechanics and Physics of Solids,2012,60(7):1330-1349
[5]	仇原鹰,米建伟,孔令飞,等.柔索驱动并联机器人变态模型相似性分析[J].应用基础与工程科学学报,2009,17(3):452-460 Qiu Y Y, Mi J W, Kong L F, et al. On similarity of the abnormal model of a wire driven parallel robot[J]. Journal of Basic Science and Engineering,2009,17(3):452-460 (in Chinese)
[6]	邓魁英,王毅.火箭动特性的缩比模型及建模分析[J].导弹与航天运载技术,2003,206(3):6-12 Deng K Y, Wang Y. Studies on the scaled model and mathematical model for the overall dynamic characteristics of launch vehicle [J]. Missiles and Space Vehicles,2003,206(3):6-12 (in Chinese)
[7]	Wu J J. Prediction of the dynamic characteristics of an elastically supported full-size flat plate from those of its complete-similitude scale model[J]. Computers and Structures,2006,84(3):102-114
[8]	Bai Y H, Zhou J F, Li Q P. Designing of partial similarity models and evaluation method in polymer flooding experiment[J]. Transport in Porous Media,2008,75(3):401-412
[9]	Ma R J, An Y T, Li G X. Similar model design and modal experimental analysis of offshore platforms [J]. Advanced Materials Research,2009,135:41-46
[10]	刘占卿,王东峰, 张志成.缩比试验模型设计与验证[J].计算机仿真,2008,25(8):51-54 Liu Z Q, Wang D F,Zhang Z C. Design and validation of small proportion model of missile engine's flow field[J]. Computer Simulation,2008,25(8):51-54 (in Chinese)
[11]	彭文杰,陈建桥,顾明凯,等.基于粒子群算法和ANSYS的层合板自由边界处层间正应力的优化研究[J].机械科学与技术,2009,28(11):1496-1501 Peng W J, Chen J Q, Gu M K. Study on the laminate boundary algorithm inter laminar normal stress based on optimization of particle swarm and ansys [J]. Mechanical Science and Technology for Aerospace Engineering,2009,28(11):1496-1501 (in Chinese)
[12]	Kennedy J, Eberhart R C. Particle swam optimization[C]//Proceeding of the 1995 IEEE Ieternational Conferrence on Neural Networks,Piscataway,NewJersey,USA,1995:1942-1948