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单板及连续板频率计算公式研究

发布时间:2018-04-24 15:48

  本文选题:板结构 + 振动预报 ; 参考:《大连理工大学》2016年硕士论文


【摘要】:在工程应用中,矩形板结构的振动问题一直是最为基础的研究课题之一。对于船体来说,其上每块板结构都受到四周板结构和所加筋的约束,相当受到弹性边界条件的约束,因而船体板结构的边界条件是介于四边刚固和四边简支的。为研究船体外板的实际振动情况并准确预报其固有频率值,本文采用两种模型进行研究。一种是axb单板模型,其边界条件分四边简支和四边刚固两种形式;另一种是3ax3b连续板模型,主要研究其中间板的振动,将四周板和所加的筋视为中间板的边界条件,连续板的边界条件为四周刚固。对于四边刚固和四边简支边界条件的矩形板来说,也就是第一种模型,现有许多公式可用来计算其固有频率,如规范公式、《船舶结构力学手册》公式、《振动基础与实用计算》公式、劳氏计算公式等等。各种公式都在其相应的理论基础上给出了板结构固有频率的解析解,这些公式在预报板结构频率方面都有一定的借鉴意义。但是各个公式在预报相同边界条件和相同几何尺寸的板结构固有频率时,所得到的计算结果不甚相同,有一定的偏差。这就为结构的振动预报造成了一些困扰,需要对公式的计算结果进行比较和分析,找到最合适的公式对结构进行振动预报。由于各公式结果在比较分析时,没有统一的比较标准,故先将ANSYS计算软件得到频率结果作为基准,将其他公式计算结果和ANSYS计算结果作对比,得到合适的加权因子,以实现各公式和ANSYS计算结果之间的换算以及各公式计算结果的相互换算。通过对各公式的研究和对比,并以ANSYS结果为基准做归一化处理,以加权因子的形式对各个公式实现了统一,为振动频率的预报提供了便利。对于第二种单板模型,本文只研究了某船上特有的两种加筋方式,旨在通过研究和分析得到规律性的结论,找到合适的修正因子,将现有各公式的频率计算结果修正为单板的固有频率值,实现振动预报
[Abstract]:In engineering application, the vibration problem of rectangular plate structure has always been one of the most basic research topics. For the hull, each plate structure on the hull is constrained by the structure of the four sides and the reinforcement, which is quite constrained by the elastic boundary conditions. Therefore, the boundary condition of the hull plate structure is between the four sides rigid and four simple supports. In this paper, two models are used to study the actual vibration of the outer plate of the hull and predict its intrinsic frequency accurately. One is AXB single plate model with two forms of simple and four side rigid boundary conditions; the other is the 3ax3b continuous plate model, mainly studying the vibration of the middle plate, and considering the four sides of the plate and the added reinforcement. The boundary condition of the interplate, the boundary condition of the continuous plate is four weeks rigid. For rectangular plates with four sides rigid and four simple supported boundary conditions, the first model is also the first model. There are many formulas available to calculate its natural frequency, such as the standard formula, the ship structural mechanics manual, the public formula, the vibration foundation and the practical calculation formula, Lloyd's calculation. Formulas and so on. All formulas have given the analytical solutions of the natural frequencies of plate structures on the basis of their corresponding theories. These formulas have some reference significance for the prediction of the frequency of the plate structure. However, the results obtained by each formula are not very different when the plate structures with the same boundary conditions and the same geometric sizes have been predicted. There are some deviations in the same way. This has caused some troubles for the vibration prediction of the structure. We need to compare and analyze the calculation results of the formula, find the most suitable formula for the vibration prediction of the structure. Since the results of each formula are compared and analyzed, there is no unified comparison standard, so the frequency results of the ANSYS software are first obtained as a result of the frequency. According to the comparison between the calculation results of other formulas and the results of ANSYS calculation, the appropriate weighting factors are obtained to realize the conversion between the formulas and the results of the ANSYS calculation and the conversion of the calculation results of each formula. Through the study and comparison of the formulas and the normalization of the results based on the ANSYS results, the weighted factor is used in the form of the weighted factor. Each formula is unified and provides convenience for the prediction of vibration frequency. For second kinds of single plate models, this paper only studies two special reinforcement methods on a certain ship, aiming at finding the proper correction factor through research and analysis, and revising the frequency calculation results of the existing formulas into the inherent frequency of the single board. Rate value and Realization of vibration prediction

【学位授予单位】:大连理工大学
【学位级别】:硕士
【学位授予年份】:2016
【分类号】:U661.4

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