纵横加筋圆锥壳振动特性多变量分析
|
摘要
为了全面掌握纵横加筋圆锥壳结构参数与其振动特性之间的关系,采用有限元软件ANSYS对纵横加筋圆锥壳进行参数化建模,并基于设计变量全组合数据,采用相关性分析、主效应分析和主成分分析方法,对纵横加筋圆锥壳结构参数与结构第一阶总体弯曲模态频率、激励力处的加速度响应总级以及结构质量之间的关系进行研究,得到了各结构参数与目标量之间关系的定量描述。为正确理解纵横加筋圆锥壳结构参数与振动特征量之间的关系提供了数据支撑,同时为此类结构的工程设计提供了参考依据。
In order to fully understand the relationships between the structural parameters and vibration characteristics of stiffened conical shells,a parametric model of longitudinal and transverse stiffened conical shells is established using finite element software ANSYS. Based on all combined data of design variables,correlation analysis,principal effect analysis and principal component analysis are used to study the relationships between the structural parameters of stiffened conical shells and the first overall bending modal frequency,the vertical acceleration response of the loading position and the structure weight. The quantitative description of the relationships between the structural parameters and the target variables is obtained,which provides data support to correctly understand the relationships between the structural parameters of the stiffened conical shells and the vibration characteristics,and provides a reference for the engineering design of such structures.
In order to fully understand the relationships between the structural parameters and vibration characteristics of stiffened conical shells,a parametric model of longitudinal and transverse stiffened conical shells is established using finite element software ANSYS. Based on all combined data of design variables,correlation analysis,principal effect analysis and principal component analysis are used to study the relationships between the structural parameters of stiffened conical shells and the first overall bending modal frequency,the vertical acceleration response of the loading position and the structure weight. The quantitative description of the relationships between the structural parameters and the target variables is obtained,which provides data support to correctly understand the relationships between the structural parameters of the stiffened conical shells and the vibration characteristics,and provides a reference for the engineering design of such structures.
引文
[1] WEI T Y. An introduction to corrplot package[ED/OL]. https:∥cran.r-project.org/web/packages/corrplot/vignettes/corrplotintro. html. 2017-12-10.
[2]杨路春,杨晨俊,汪志强.基于分解的进化算法和多变量分析技术在船型参数设计中应用[J].上海交通大学学报,2016,50(8):1200-1206.(YANG L C,YANG C J,WANG Z Q. Application of decomposition-based evolutionary algorithm and multivariate analysis in ship form parameter research[J]. Journal of Shanghai Jiaotong University,2016,50(8):1200-1206.(in Chinese))
[3]朱广纪,贺远松,万琪,等.轮印载荷下多跨梁装载方案聚类分级方法[J].中国舰船研究,2018,13(2):97-102.(ZHU G J,HE Y S,WAN Q,et al. Clustering-based classification method of loading schemes of multi-span beams under multiple patch loading[J]. Chinese Journal of Ship Research,2018,13(2):97-102.(in Chinese))
[4]郑中义,李红喜,陈涛.船舶吨位与碰撞事故关系[J].大连海事大学学报,2007(S2):158-161.(ZHENG Z Y,LI H X,CHEN T. Study on the relation between ship's tonnage and collision accidents[J]. Journal of Dalian Maritime University,2007(S2):158-161.(in Chinese))
[5]梁来雨,汪志强.基于多变量分析的环肋圆柱壳结构特性研究[J].海洋技术学报,2017,36(3):97-102.(LIANG L Y,WANG Z Q. Study on the structural characteristics of ring-stiffened cylindrical shell using multivariate analysis[J]. Journal of Ocean Technology,2017,36(3):97-102.(in Chinese))
[6]汪志强,李学斌,黄利华.基于波传播方法和多元分析的正交各向异性圆柱壳振动特性研究[J].振动与冲击,2018,37(7):227-232.(WANG Z Q,LI X B,HUANG L H. Vibration characteristics of orthotropic circular cylindrical shells based on wave propagation approach and multi-variate analysis[J]. Journal of Vibration and Shock,2018,37(7):227-232.(in Chinese))
[7]汪志强,李学斌,黄利华.计及频率约束的环肋圆柱壳多目标优化研究[J].中国造船,2017,58(1):46-54.(WANG Z Q,LI X B,HUANG L H. Multi-objective optimization of ring-stiffened cylindrical shell with constraint on natural frequency[J].Shipbuilding of China,2017,58(1):46-54.(in Chinese))
[8]叶文荣,张恒,缪旭弘,等.多点激励力下圆柱壳振动响应优化设计[J].噪声与振动控制,2013,33(2):36-39.(YE W R,ZHANG H,MIAO X H,et al. Design of cylindrical shell for dynamic performance optimization under multi-excitations[J]. Noise and Vibration Control,2013,33(2):36-39.(in Chinese))
[9]刘东,王春旭,刘均.纵横加筋圆锥壳振动特性多目标优化设计[J].中国舰船研究,2018,13(1):24-30.(LIU D,WANG C X,LIU J. Study on multi-objective optimization design for vibration characteristics of longitudinal and transverse stiffened conical shells[J]. Chinese Journal of Ship Research,2018,13(1):24-30.(in Chinese))
[10]刘聪,程远胜,张攀,等.加筋板轮印载荷分布特性的试验与数值分析[J].海洋工程,2017,35(4):84-93.(LIU C,CHENG Y S,ZHANF P,et al. Experiment and numerical analyses on wheel load distribution on stiffened plate[J]. The Ocean Engineering,2017,35(4):84-93.(in Chinese))
[11]李洁明,祁新娥.统计学原理[M].第6版,上海:复旦大学出版社,2014.(LI J M,QI X E. The principles of statistical science[M]. Shanghai:Fudan University Press,2014.(in Chinese))
[12] JOHNSON R A,WICHERN D W. Applied multivariate statistical analysis[M]. Beijing:Tsinghua University Press,2008.
[2]杨路春,杨晨俊,汪志强.基于分解的进化算法和多变量分析技术在船型参数设计中应用[J].上海交通大学学报,2016,50(8):1200-1206.(YANG L C,YANG C J,WANG Z Q. Application of decomposition-based evolutionary algorithm and multivariate analysis in ship form parameter research[J]. Journal of Shanghai Jiaotong University,2016,50(8):1200-1206.(in Chinese))
[3]朱广纪,贺远松,万琪,等.轮印载荷下多跨梁装载方案聚类分级方法[J].中国舰船研究,2018,13(2):97-102.(ZHU G J,HE Y S,WAN Q,et al. Clustering-based classification method of loading schemes of multi-span beams under multiple patch loading[J]. Chinese Journal of Ship Research,2018,13(2):97-102.(in Chinese))
[4]郑中义,李红喜,陈涛.船舶吨位与碰撞事故关系[J].大连海事大学学报,2007(S2):158-161.(ZHENG Z Y,LI H X,CHEN T. Study on the relation between ship's tonnage and collision accidents[J]. Journal of Dalian Maritime University,2007(S2):158-161.(in Chinese))
[5]梁来雨,汪志强.基于多变量分析的环肋圆柱壳结构特性研究[J].海洋技术学报,2017,36(3):97-102.(LIANG L Y,WANG Z Q. Study on the structural characteristics of ring-stiffened cylindrical shell using multivariate analysis[J]. Journal of Ocean Technology,2017,36(3):97-102.(in Chinese))
[6]汪志强,李学斌,黄利华.基于波传播方法和多元分析的正交各向异性圆柱壳振动特性研究[J].振动与冲击,2018,37(7):227-232.(WANG Z Q,LI X B,HUANG L H. Vibration characteristics of orthotropic circular cylindrical shells based on wave propagation approach and multi-variate analysis[J]. Journal of Vibration and Shock,2018,37(7):227-232.(in Chinese))
[7]汪志强,李学斌,黄利华.计及频率约束的环肋圆柱壳多目标优化研究[J].中国造船,2017,58(1):46-54.(WANG Z Q,LI X B,HUANG L H. Multi-objective optimization of ring-stiffened cylindrical shell with constraint on natural frequency[J].Shipbuilding of China,2017,58(1):46-54.(in Chinese))
[8]叶文荣,张恒,缪旭弘,等.多点激励力下圆柱壳振动响应优化设计[J].噪声与振动控制,2013,33(2):36-39.(YE W R,ZHANG H,MIAO X H,et al. Design of cylindrical shell for dynamic performance optimization under multi-excitations[J]. Noise and Vibration Control,2013,33(2):36-39.(in Chinese))
[9]刘东,王春旭,刘均.纵横加筋圆锥壳振动特性多目标优化设计[J].中国舰船研究,2018,13(1):24-30.(LIU D,WANG C X,LIU J. Study on multi-objective optimization design for vibration characteristics of longitudinal and transverse stiffened conical shells[J]. Chinese Journal of Ship Research,2018,13(1):24-30.(in Chinese))
[10]刘聪,程远胜,张攀,等.加筋板轮印载荷分布特性的试验与数值分析[J].海洋工程,2017,35(4):84-93.(LIU C,CHENG Y S,ZHANF P,et al. Experiment and numerical analyses on wheel load distribution on stiffened plate[J]. The Ocean Engineering,2017,35(4):84-93.(in Chinese))
[11]李洁明,祁新娥.统计学原理[M].第6版,上海:复旦大学出版社,2014.(LI J M,QI X E. The principles of statistical science[M]. Shanghai:Fudan University Press,2014.(in Chinese))
[12] JOHNSON R A,WICHERN D W. Applied multivariate statistical analysis[M]. Beijing:Tsinghua University Press,2008.