超空泡运动体结构的随机动刚度特性分析

doi:10.3969/j.issn.1000-1093.2013.09.008

摘要/Abstract

摘要：

采用半解析有限元法建立了振动方程,并对其进行解耦和傅里叶变换,得到了确定性动刚度表达式;考虑结构参数随机性,将泰勒展开法和随机因子法相结合,推导了动刚度的随机性表达式,并讨论了各种随机因素对动刚度均值和变异系数的影响。计算表明:弹性模量随机因子的标准差对动刚度随机性的影响最突出;其他随机因素不变,弹性模量随机因子的标准差增大1 倍时, 3 个极小值点的动刚度均值减小比例均为46. 7%,2 个极大值点的动刚度均值减小的比例依次为 27. 4%、3. 6%;结构参数的变异性为弱变异时,极值点的动刚度的变异性则表现为中等变异,甚至强变异。

关键词: 固体力学, 随机参数, 超空泡运动体, 随机动刚度

Abstract:

The vibration equation is developed by semi-analytical finite element method. The mode-decoupling and Fourier transform are used to deal with the vibration equation, and the expression of dynamic stiffness is obtained. Considering the randomness of structural parameters, the random expression of dynamic stiffness is deduced by Taylor expansion and the random factor method. The influences of random factors on the means and variation coefficient of dynamic stiffness are discussed. The calculation results show that the standard deviation of elastic modulus random factor has a significant influence on the randomness of dynamic stiffness, and if all other factors are equal and the standard deviation of elastic modulus random factor is doubled, the decreasing ratios of all dynamic stiffness mean values in three minimum points are 46. 7%, and are 27. 4% and 3. 6% for two maximum points in proper order. Furthermore, when the variability of structural parameters belongs to week degree, the variability of dynamic stiffness in extreme points belong to moderate degree, even strong degree.

Key words: solid mechanics, random parameters, supercavitating vehicle, random dynamic stiffness

中图分类号:

O342

王杰方, 安伟光, 蒋运华. 超空泡运动体结构的随机动刚度特性分析[J]. 兵工学报, 2013, 34(9): 1103-1108.

WANG Jie-fang, AN Wei-guang, JIANG Yun-hua. Synthesis and Characteristics of La0. 8 Sr0. 2 CoO3-δand Its Effect on Combustion Property of Nitramine Modified Double-base Propellant[J]. Acta Armamentarii, 2013, 34(9): 1103-1108.

参考文献

[1] 张劲生. 超空泡运动体尾拍冲击振动特性的研究[D]. 哈尔滨:哈尔滨工业大学,2010. ZHANG Jin-sheng. Research on impact and vibration characteristic of supercavitating high-speed bodies with tail-slaps[D]. Harbin: Harbin Institute of Technology,2010. (in Chinese) [2] 何乾坤,魏英杰,尤天庆,等. 空泡摆动对超空泡航行体尾拍的影响[J]. 北京航空航天大学学报,2012, 38(4):509 -518. HE Qian-kun, WEI Ying-jie,YOU Tian-qing, et al. Analysis of tail-slaps of supercavitating vehicle influenced by distortion of cavity shape [J]. Journal of Beihang University,2012,38(4): 509 -518. (in Chinese) [3] 杨传武,王安稳. 超空泡水下航行体振动特性分析[J]. 海军工程大学学报,2008,20(4):30 -32. YANG Chuan-wu, WANG An-wen. Vibration of supercavitating underwater vehicles [J]. Journal of Naval University of Engineering, 2008,20(4):30 -32. (in Chinese) [4] 杨传武,王安稳. 冲击载荷作用下超空泡水下航行体的结构响应[J]. 华中科技大学学报:自然科学版,2008,36(7): 129 -132. YANG Chuan-wu, WANG An-wen. Structural response of supercavitating underwater vehicles subjected to impact loads[J]. Journal of Huazhong University of Science and Technology: Natural Science Edition,2008,36(7):129 -132. (in Chinese) [5] 杨传武,王安稳. 动态轴向载荷对超空泡航行体振动特性的影响[J]. 华中科技大学学报:自然科学版,2008,36(12): 71 -74. YANG Chuan-wu, WANG An-wen. Influence of dynamic axial loads on the vibration characteristics of supercavitating underwater vehicle[J]. Journal of Huazhong University of Science and Technology: Natural Science Edition,2008,36 (12): 71 - 74. ( in Chinese) [6] 刘剑钊,党建军,张谋,等. 推力脉动引起的水下高速航行器振动响应研究[J]. 机械科学与技术, 2010,29(8):1081 -1088. LIU Jian-zhao, DANG Jian-jun, ZHANG Mou, et al. Vibration response of a high-speed underwater vehicle caused by thrust pulsation[J]. Mechanical Science and Technology for Aerospace Engineering, 2010,29(8):1081 -1088. (in Chinese) [7] 麻震宇,陈广南,张为华. 超空泡航行体双层壳结构动力响应分析[J]. 中南大学学报:自然科学版,2012,43(3):870 -876. MA Zhen-yu, CHEN Guang-nan, ZHANG Wei-hua. Dynamic response analysis of supercavitating double shells [ J]. Journal of Central South University: Science and Technology,2012,43(3):870 -876. (in Chinese) [8] 麻震宇,胡凡,陈广南,等. 超空泡航行体双层壳结构动力稳定性分析[J]. 国防科技大学学报,2011,33(4):43 -47. MA Zhen-yu, HU Fan, CHEN Guang-nan, et al. Dynamic stability analysis of supercavitating double shells[J]. Journal of National University of Defense Technology, 2011,33 (4):43 - 47. ( in Chinese) [9] Ruzzene M, Soranna F. Impact dynamics of elastic stiffened supercavitating underwater vehicles[J]. Journal of Vibration and Control, 2004, 10(2): 243 -267. [10] Ruzzene M. Dynamic buckling of periodically stiffened shells:application to supercavitating vehicles[J]. International Journal of Solids and Structures, 2004, 41(3): 1039 -1059. [11] Alyanak E, Venkayya V, Grandhi R, et al. Structural response and optimization of a supercavitating torpedo[J]. Finite Elements in Analysis and Design, 2005, 41(6): 563 -582. [12] 党建军,张谋,郭芳,等. 超空泡脉动对水下高速航行器壳体强度的影响研究[J]. 机械科学与技术,2011,30(11):1930 -1933. DANG Jian-jun, ZHANG Mou, GUO Fang, et al. A study of the influence of the super-cavit pulsation on the intensity of the shell of the high-speed underwater vehicle[J]. Mechanical Science and Technology for Aerospace Engineering,2011,30 (11):1930 -1933. (in Chinese) [13] 王勖成. 有限单元法[M]. 北京:清华大学出版社,2003:192-201,381. WANG Xu-cheng. Finite element method[M]. Beijing:Tsinghua University Press,2003:192 -201,381. (in Chinese) [14] 胡太彬. 随机结构动力分析与动力可靠性优化设计[D]. 西安:西安电子科技大学,2005. HU Tai-bin. Stochastic structure dynamic analysis and optimization design based on dynamic reliability[D]. Xi蒺an: Xidian University,2005. (in Chinese)

[1]	王宗炼，任会兰，宁建国. 基于小波变换的混凝土压缩损伤模式识别[J]. 兵工学报, 2017, 38(9): 1745-1753.
[2]	袁康博，郭伟国. 高g值加速度计动态线性度标定方法研究[J]. 兵工学报, 2017, 38(12): 2429-2437.
[3]	周刚毅，董新龙，付应乾. 动态帽型剪切试样分析及实验验证[J]. 兵工学报, 2017, 38(12): 2455-2462.
[4]	李志斌，卢芳云. 梯度温度场中多胞材料牺牲层的抗冲击分析[J]. 兵工学报, 2017, 38(12): 2463-2471.
[5]	冯晓伟, 李俊承, 常敬臻, 王洪波, 胡文军. 氧化铝陶瓷受冲击压缩破坏的细观机理研究[J]. 兵工学报, 2017, 38(12): 2472-2479.
[6]	刘志芳，王军，秦庆华. 横向冲击载荷下泡沫铝夹芯双圆管的吸能研究[J]. 兵工学报, 2017, 38(11): 2259-2267.
[7]	章伊华，庞奎，林丹益，麦云飞，孙晓萌，杨国玉. 基于接触面特征的螺栓联接刚度研究[J]. 兵工学报, 2017, 38(1): 195-201.
[8]	周金宇，谢里阳，朱福先，韩文钦. 疲劳裂纹形核寿命的细观概率模型[J]. 兵工学报, 2016, 37(2): 307-316.
[9]	陈攀，漆琼芳. 基于行波法的有限加肋板耦合运动研究[J]. 兵工学报, 2016, 37(11): 2128-2135.
[10]	杜文文，王琳，赵登辉，智茂盛，徐欣. 基于Taylor杆的Ti-5553钛合金动态特性研究[J]. 兵工学报, 2015, 36(9): 1750-1756.
[11]	任志乾，于宗乐，陈循，王岩磊. 基于弹塑性本构的单股钢丝绳受力分析[J]. 兵工学报, 2015, 36(9): 1782-1789.
[12]	章伊华，林丹益， YANG Guo-yu. 基于接触理论的螺栓联接接触面力学特性研究[J]. 兵工学报, 2015, 36(5): 946-952.
[13]	陈鹏，卢芳云，覃金贵，陈荣，陈进，李志斌，蒋邦海. 含钨活性材料动态压缩力学性能[J]. 兵工学报, 2015, 36(10): 1861-1866.
[14]	姜文征，刘颖. 低冲量质量块冲击下固支泡沫夹芯梁的动力响应[J]. 兵工学报, 2014, 35(8): 1230-1235.
[15]	谭华，俞宇颖，戴诚达，谭叶. LY12铝合金在冲击绝热压缩下的泊松比[J]. 兵工学报, 2014, 35(8): 1218-1222.