单侧触水复杂形状薄板的自由振动特性分析

[目的]旨在研究单侧触水弹性边界下复杂形状薄板的自由振动特性。[方法]选取包络复杂形状薄板域的矩形域并将薄板位移用矩形域内的改进傅里叶级数表示,结合Rayleigh积分建立表面声压和薄板位移的关系,并将积分式转换到局部极坐标中以避免奇异性,针对局部极坐标中该变限积分中的边界曲线难以获得显式表达式的问题,用“以直代曲”的方式处理结构边界曲线以简化Rayleigh积分,基于能量原理建立了分析单侧触水复杂形状薄板自由振动特性的半解析方法。[结果]给出了单侧触水矩形薄板、圆形薄板和一些复杂形状薄板的算例,与有限元及文献结果对比验证了该方法的收敛性和准确性,并讨论了弹性边界对薄板附加虚拟质量增量因子（added virtual mass incremental, AVMI）的影响规律,各阶AVMI因子在边界位移弹簧无量纲化刚度为103附近出现最大值,此时结构受流体影响相对最大。[结论]该方法适应性较强,计算效率较高,揭示了流体中复杂形状薄板的自由振动规律,具有一定的工程指导意义。     

Uncertainty analysis of propulsion shafting vibration北大核心CSCD

［Objective］In view of the insufficient safety and reliability of the traditional deterministic vibration analysis of ship propulsion shafting system, the vibration response analysis of the shafting system under uncertain excitation conditions is carried out. ［Methods］Using non-random vibration analysis based on non-probabilistic convex model process, the uncertain excitation and vibration response are described in the form of the upper and lower bounds of the interval to reduce dependence on a large amount of excitation sample data. Compared with the calculation results in the relevant literature, the validity of the program for solving the response bound of the two-degrees-of-freedom (2-DOFs) system is verified, and the uncertain vibration problem of the shafting system is then explored on this basis. ［Results］The results show that when the shafting system is excited by [−30 N, 30 N] propeller laterally, a displacement response of the magnitude of about 10−6 m is generated at the bearing. It is also indicate that the shafting system is excited in a certain interval, so a certain interval response must be produced. ［Conclusions］Applying the non-probabilistic convex model process and non-random vibration analysis to the field of the uncertain vibration analysis of ship propulsion shafting system, the vibration displacement response bound of the shafting under uncertain excitation conditions can be obtained with fewer excitation samples, thereby providing useful references for improving the robustness of the dynamic response prediction of ship propulsion shafting systems. © 2023 Chinese Journal of Ship Research. All rights reserved.     

艉轴承刚度等效形式对轴系横向振动特性的影响北大核心CSCD

[目的]由于船舶艉轴承的长径比较大,将其简化为传统的单点支撑等效模型难以反映出轴承的实际运行情况,因此有必要探讨艉轴承等效形式对轴系横向振动特性的影响。[方法]首先,基于能量原理,引入改进傅里叶级数方法描述推进轴系的横向振动位移,构建可用于单点、多点和连续分布式支撑的多种等效形式的推进轴系横向振动特性计算模型;然后,分别分析由液膜压力等效的支撑刚度变化对轴系横向振动特性以及螺旋桨激励对轴系振动响应的影响;最后,与文献和采用有限元方法(FEM)计算的结果进行对比,验证所提模型的正确性。[结果]结果显示,多点支撑的计算结果收敛于连续分布式支撑计算结果,螺旋桨激励下轴系响应受转速影响。[结论]研究表明,可采用三点支撑等效形式研究液膜压力分布对推进轴系横向振动特性的影响,所构建的计算模型收敛性好、计算精度高、代价低。