水中振动矩形板的附加质量研究  

Study on the attached mass of the rectangular plate in water

作　　者：任惠娟[1] 姚展[1] 薛小庆[1] 刘婷[1] 雷烨[2] 

机构地区：[1]咸阳师范学院物理与电子工程学院 [2]西北工业大学航海学院

出　　处：《陕西科技大学学报（自然科学版）》2016年第6期183-186,196,共5页Journal of Shaanxi University of Science & Technology

基　　金：陕西省科技厅自然科学基金项目(2011JM1017);陕西省教育厅科学研究计划项目(2013JK0618);咸阳师范学院专项科研基金项目(13XSYK016)

摘　　要：从水下振动矩形板的振动响应公式出发,根据附加质量的定义,推导了水下矩形板的附加质量表达式,并进行了数值仿真.研究表明:(1)模态阶数越低,矩形板附加面密度越大.(2)当波数比k_w/k_(mnw)<10^(-1)时,矩形板的附加面密度与波数比无关而几乎保持恒值;当k_w/k_(mnw)≈1时,除过(1,1)阶模态,各阶模态附加面密度均出现了峰值;之后随着波数比的增大,模态附加面密度迅速衰减.(3)水下矩形板的附加质量不可忽略,研究水下结构的振动与声辐射必须考虑附加质量的影响.Starting from the vibration response formula of the rectangular plate in water and according to the definition of the attached mass,the expression of attached mass is derived for a rectangular plate in water,and the numerical simulations are implemented.The results show：First,the lower the modal order,the bigger the attached mass.Second,when k_w/k_（mnw）10-1,the attached mass almost keeps a constant value.When k_w/k_（mnw）≈1,the attached mass appears a peak value except the（1,1）mode,then it decays fastly.Third,the attached mass of the rectangular plate in water can not be neglected,and it should be taken into account when vestigating its vibration and sound radiation.

关 键 词：矩形板 附加质量 附加阻尼 

分 类 号：O422.6[理学—声学]