基于能量原理的等效静态载荷法及其在活塞动态优化中的应用

上海交通大学学报（自然版） ›› 2015, Vol. 49 ›› Issue (09): 1293-1299.

基于能量原理的等效静态载荷法及其在活塞动态优化中的应用

张艳岗，毛虎平，苏铁熊，董小瑞，王英，王军

（中北大学机械与动力工程学院，太原 030051）

收稿日期:2014-10-10 出版日期:2015-09-30 发布日期:2015-09-30
基金资助:
国家自然科学基金资助项目（51275489），中北大学自然科学研究基金资助项目（2015）

Method of Equivalent Static Loads Based on Energy Principle and Its Application in Dynamic Optimization Design of Diesel Engine Piston

ZHANG Yangang，MAO Huping，SU Tiexiong，DONG Xiaorui，WANG Ying，WANG Jun

(College of Mechanical and Electrical Engineering, North University of China, Taiyuan 030051, China)

Received:2014-10-10 Online:2015-09-30 Published:2015-09-30

摘要/Abstract

摘要：

摘要：针对位移等效静态载荷法在求解结构动态优化时遇到的等效关键时间点不合理、等效结果误差大等问题，提出一种基于能量原理的等效静态载荷法.该方法通过将结构动态响应解空间进行谱元离散，识别出结构的关键时间点，并在该时间点构建了基于能量等效的动态载荷静态转化数学模型.应用优化算法搜索得到了等效静态载荷集的最优解，从而将结构动态优化问题转化为静态优化问题求解.最后，通过在某柴油机活塞油腔结构的动态优化设计中的有效应用，验证了能量等效静态载荷法的有效性和工程实用性，拓展了等效静态载荷法的理论范畴，同时为复杂结构动态响应优化设计提供了一种新的思路.

关键词: 能量等效, 等效静态载荷法, 活塞油腔, 动态优化

Abstract:

Abstract： Aimed at the problem of illogical time critical point and large error of the method of equivalent static loads based on displacement in structural dynamic optimization, an equivalent static loads method based on energy principle was proposed which could identify the critical time of structure by getting the spectral element discrete solution space of the structure dynamic response. The mathematical model of equivalent transformation was proposed based on the energy at the critical time, and the optimum solution of the set of equivalent static load was obtained using the global optimization algorithm. Therefore, the dynamic optimization problem could be transformed into a static structure optimization problem and solved. Finally, the effective and engineering practicability of the proposed method was proven by the effective application of the method in dynamic optimization design of a diesel engine piston oil chamber structure. The results expand the scope of the theory of equivalent static loads, providing a new way for the dynamic response optimization design of a complex structure.

Key words: energy equivalent, equivalent static loads method, oil chamber of piston, dynamic optimization

中图分类号:

TH 122

张艳岗，毛虎平，苏铁熊，董小瑞，王英，王军. 基于能量原理的等效静态载荷法及其在活塞动态优化中的应用[J]. 上海交通大学学报（自然版）, 2015, 49(09): 1293-1299.

ZHANG Yangang，MAO Huping，SU Tiexiong，DONG Xiaorui，WANG Ying，WANG Jun. Method of Equivalent Static Loads Based on Energy Principle and Its Application in Dynamic Optimization Design of Diesel Engine Piston[J]. Journal of Shanghai Jiaotong University, 2015, 49(09): 1293-1299.

参考文献

［1］张俊红,张桂昌,何振鹏,等.燃烧压力下的活塞敲击力分析及活塞优化设计［J］.燃烧科学与技术,2013,19(2):128134.

Zhang Junhong, Zhang Guichang, He Zhenpeng, et al. Analysis of piston impinging force caused by combustion gas pressure and optimization design of piston ［J］. Journal of Combustion Science and Technology, 2013,19(2):128134.

［2］廖林清,屈翔,雷刚.基于多学科的活塞优化设计方法［J］.中国机械工程,2009,20(9):11231125.

Liao Linqing, Qu Xiang, Lei Gang. Multidisciplinary optimization for piston design ［J］. China Mechanical Engineering, 2009,20(9):11231125.

［3］黄震,张继春,徐斌,等.基于有限元的活塞优化设计分析［J］.昆明理工大学学报:理工版,2006,31(3):7680.

Huang Zhen, Zhang Jichun, Xu Bin, et al. Analysis of piston optimization design based on finite element analysis ［J］. Journal of Kunming University of Science and Technology: Science and Technology, 2006,31(3):7680.

［4］杜发荣,张博.拓扑优化理论在活塞结构设计中的应用［J］.小型内燃机与摩托车，2007,36(5):14.

Du Farong, Zhang Bo. Application of topology optimization theory in the design of piston structure ［J］. Small Internal Combustion Engine and Vehicle Technique, 2007,36(5):14.

［5］高峰.TJ376Q活塞组件优化设计［J］.小型内燃机与摩托车,2003,32(1):912.

Gao Feng. Optimal design of piston assembly for TJ376Q engine ［J］. Small Internal Combustion Engine and Vehicle Technique, 2003,32(1):912.

［6］毛虎平，苏铁熊,李建军.多元模型自适应与时间谱元法结合的动态优化［J］.计算机辅助设计与图形学学报,2013,25(11):17251734.

Mao Huping, SU Tiexiong, Li Jianjun. The dynamic optimization based on combination of adaptive multimeta modeling and temporal spectral element method ［J］. Journal of ComputerAided Design ＆ Computer Graphics, 2013,25(11):17251734.

［7］毛虎平,吴义忠,李建军,等.时间谱元法在动态响应优化中的应用［J］.振动工程学报,2013,26(3):395403.

Mao Huping, Wu Yizhong, Li Jianjun, et al. Temporal spectral element method and its application in optimization of dynamic response ［J］. Journal of Vibration Engineering, 2013,26(3):395403.

［8］Kang ByungSoo, Park GyungJin, Arora Jasbir S. A review of optimization of structures subjected to transient loads［J］. Structural and Multidisciplinary Optimization, 2006,31(2): 8195.

［9］Kang B S., Choi W S, Park G J. Structural optimization under equivalent static loads transformed from dynamic loads based on displacement［J］. Computers and Structures, 2001,79:145154.

［10］Choi W S. Transformation of dynamic loads into equivalent static loads and structural optimization ［D］. Hanyang: Hanyang University, 2002.

［11］张艳岗,苏铁熊,毛虎平,等.动态应力解空间谱元离散的关键时间点识别方法［J］.机械工程学报,2014,50(5):8287.

Zhang Yangang, Su Tiexiong, Mao Huping, et al. Critical time points identification method for solution space of dynamic stress based on spectral element ［J］. Journal of Mechanical Engineering, 2014,50(5):8287.

[1]	曹卫华1,2，蔡伊青2，袁艳1,2，吴敏1,2. 烧结余热回收系统效率计算及参数动态优化[J]. 上海交通大学学报（自然版）, 2014, 48(07): 1046-1052.
[2]	王志强, 邵之江, 万娇娜, 方学毅. 基于径向基函数的动态优化问题联立求解方法[J]. 上海交通大学学报（自然版）, 2011, 45(08): 1221-1225.