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單板及連續(xù)板頻率計算公式研究

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  本文選題:板結(jié)構(gòu) + 振動預(yù)報 ; 參考:《大連理工大學(xué)》2016年碩士論文


【摘要】:在工程應(yīng)用中,矩形板結(jié)構(gòu)的振動問題一直是最為基礎(chǔ)的研究課題之一。對于船體來說,其上每塊板結(jié)構(gòu)都受到四周板結(jié)構(gòu)和所加筋的約束,相當(dāng)受到彈性邊界條件的約束,因而船體板結(jié)構(gòu)的邊界條件是介于四邊剛固和四邊簡支的。為研究船體外板的實(shí)際振動情況并準(zhǔn)確預(yù)報其固有頻率值,本文采用兩種模型進(jìn)行研究。一種是axb單板模型,其邊界條件分四邊簡支和四邊剛固兩種形式;另一種是3ax3b連續(xù)板模型,主要研究其中間板的振動,將四周板和所加的筋視為中間板的邊界條件,連續(xù)板的邊界條件為四周剛固。對于四邊剛固和四邊簡支邊界條件的矩形板來說,也就是第一種模型,現(xiàn)有許多公式可用來計算其固有頻率,如規(guī)范公式、《船舶結(jié)構(gòu)力學(xué)手冊》公式、《振動基礎(chǔ)與實(shí)用計算》公式、勞氏計算公式等等。各種公式都在其相應(yīng)的理論基礎(chǔ)上給出了板結(jié)構(gòu)固有頻率的解析解,這些公式在預(yù)報板結(jié)構(gòu)頻率方面都有一定的借鑒意義。但是各個公式在預(yù)報相同邊界條件和相同幾何尺寸的板結(jié)構(gòu)固有頻率時,所得到的計算結(jié)果不甚相同,有一定的偏差。這就為結(jié)構(gòu)的振動預(yù)報造成了一些困擾,需要對公式的計算結(jié)果進(jìn)行比較和分析,找到最合適的公式對結(jié)構(gòu)進(jìn)行振動預(yù)報。由于各公式結(jié)果在比較分析時,沒有統(tǒng)一的比較標(biāo)準(zhǔn),故先將ANSYS計算軟件得到頻率結(jié)果作為基準(zhǔn),將其他公式計算結(jié)果和ANSYS計算結(jié)果作對比,得到合適的加權(quán)因子,以實(shí)現(xiàn)各公式和ANSYS計算結(jié)果之間的換算以及各公式計算結(jié)果的相互換算。通過對各公式的研究和對比,并以ANSYS結(jié)果為基準(zhǔn)做歸一化處理,以加權(quán)因子的形式對各個公式實(shí)現(xiàn)了統(tǒng)一,為振動頻率的預(yù)報提供了便利。對于第二種單板模型,本文只研究了某船上特有的兩種加筋方式,旨在通過研究和分析得到規(guī)律性的結(jié)論,找到合適的修正因子,將現(xiàn)有各公式的頻率計算結(jié)果修正為單板的固有頻率值,實(shí)現(xiàn)振動預(yù)報
[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

【學(xué)位授予單位】:大連理工大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2016
【分類號】:U661.4

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