基于统计能量法的船舶板架结构简化建模方法研究
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摘要
统计能量法是解决复杂结构高频动力学问题的主要方法之一,限于其分析特性,过于细致化的建模会引发其计算量大、计算精度低等问题。针对典型的船体板架结构,提出基于统计能量法的船体板架结构简化建模方法,并结合数值计算加以验证。根据实际需求,提出简化建模的等效原则,给出多平板的简化建模方法;通过研究给出周期加筋板的简化建模方法;提出一种双层底结构的简化建模方法,并进行误差分析。
Statistical energy analysis is one of the main methods to solve the high frequency dynamics problem of complex structure. For its analysis limitation, excessively detailed modeling will lead to great amount of calculation and low accuracy. According to the typical ship grillage structure, the simplified modeling method for ship grillage structure based on statistical energy analysis is proposed, and it is verified by numerical computation. According to the actual demand, the equivalent principle of simplified modeling and multi-plate's simplified method are introduced. The periodic stiffened plate's simplified modeling method is deduced by the study. A simplified modeling method of the double bottom structure is proposed, and the error is analyzed.
Statistical energy analysis is one of the main methods to solve the high frequency dynamics problem of complex structure. For its analysis limitation, excessively detailed modeling will lead to great amount of calculation and low accuracy. According to the typical ship grillage structure, the simplified modeling method for ship grillage structure based on statistical energy analysis is proposed, and it is verified by numerical computation. According to the actual demand, the equivalent principle of simplified modeling and multi-plate's simplified method are introduced. The periodic stiffened plate's simplified modeling method is deduced by the study. A simplified modeling method of the double bottom structure is proposed, and the error is analyzed.
引文
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[2]陈陆平.动态系统的模型简化方法[J].力学进展,1994,24(1):88-97.
[3]QU Z Q,JUNG Y,SELVAM R P.Model Condensation for Non-classically Damped Systems-Part I:Static Condensation[J].Mechanical Systems and Signal Processing,2003,17(5):1003-1016.
[4]IRONS B.Structural Eigen Value Problems:Elimination of Unwanted Variables[J].AIAA Journal,1965,3(5):961-962.
[5]ROBERT J.Guyan Reduction of Stiffness and Mass Matrices[J].AIAA Journal,1965,3(2):680.
[6]O’CALLAHAN J C.A Procedure for an Improved Reduced System(IRs)Model[C]//Proceedings of the 7th International Model Analysis Conference.1989.
[7]张德文,魏阜旋.模型修正与破损诊断[M].北京:科学出版社,1999.
[8]EDWARD J K,STAHLE C V.Dynamic Transformation Method for Modal Synthesis[J].AIAA Journal,1974,12(5):672-678.
[9]夏益霖.有效载荷/运载火箭耦合分析的子结构模态综合法[J].强度与环境,1996(4):46-52.
[10]夏益霖.时域和频域子结构试验模态综合方法的统一性[J].强度与环境,1996(3):39-45.
[11]楼梦麟.结构动力分析的子结构方法[M].上海:同济大学出版社,1997.
[12]伍先俊,朱石坚.振动能量流的计算方法研究[J].农业工程学报,2006,22(3):1-5.
[13]盛美萍,孙进才,王敏庆,等.直接和间接耦合损耗因子的计算方法[J].噪声与振动控制,1997(6):2-7.
[14]王宏伟,赵德有.平板与周期加筋阻尼板间耦合损耗因子的研究[J].船舶力学,2001,5(2):55-61.
[15]朱卫红,马兴瑞,韩增尧,等.基于有限元的板结构能量流分析[J].强度与环境,2014,41(2):1-8.
[16]孙进才.复杂结构的损耗因子和耦合损耗因子的测量方法[J].声学学报,1995,20(2):127-134.
[17]陈书明,王登峰,足安康,等.几种线连接耦合损耗因子的计算[J].吉林大学学报,2010,40(4):920-924.
[18]潘国俊,翁建生.车身SEA模型的子系统的划分对预测精度的影响[J].农业装备与车辆工程,2014,52(4):23-27.
[19]朱正道,戴江,李兵.统计能量分析子系统的划分[J].舰船科学技术,2011,33(4):69-71.
[20]CORDIOLI,J A,TRICHêS,M,GERGES S N.Applications of the Statistical Energy Analysis to VibroAcoustic Modeling of Vehicles[R].SAE Technical Paper,2004.
[21]张恺,纪刚,周其斗,等.统计能量法计算水下圆柱壳辐射噪声准确性的验证与分析[J].中国舰船研究,2017,12(4):89-94.