本文關(guān)鍵詞：基于級數(shù)變換法的橢圓柱殼受迫振動分析　出處：《哈爾濱工程大學(xué)學(xué)報》2017年04期 　論文類型：期刊論文

  更多相關(guān)文章： 橢圓柱殼 受迫振動 橢圓度參數(shù) 輸入功率流 級數(shù)變換法 Fourier級數(shù)

【摘要】：由于橢圓柱殼周向曲率的變化,殼體振動方程中狀態(tài)變量的系數(shù)是關(guān)于周向曲率的變系數(shù),造成振動方程在周向波數(shù)域內(nèi)不解耦,為求解帶來困難。本文基于Flügge殼體理論推導(dǎo)出橢圓柱殼體的受迫振動方程,采用波傳播法將橢圓柱殼位移以雙Fourier級數(shù)形式展開,周向曲率以單Fourier級數(shù)形式展開,通過級數(shù)變換將變系數(shù)的偏微分方程組轉(zhuǎn)換為周向波數(shù)相互耦合的有限階常系數(shù)線性方程組,通過求解耦合方程得到橢圓柱殼受迫振動下的位移響應(yīng)。通過與數(shù)值仿真及已有文獻(xiàn)結(jié)果進(jìn)行對比,驗(yàn)證了本文方法的準(zhǔn)確性,同時具有較高的求解效率。通過對影響殼體振動的主要參數(shù)進(jìn)行分析,得出激勵力沿長半軸方向激勵的輸入功率流較小,沿短半軸方向激勵的輸入功率流較大;橢圓度對殼體輸入功率流的影響主要在低頻域;殼厚比減小,橢圓柱殼輸入功率流峰值向低頻偏移且幅值增大。
[Abstract]:The elliptic cylindrical shell circumferential curvature variation coefficient of the state variables in the vibration equation of shell is a circumferential variable coefficient of curvature, caused by vibration equation in the circumferential wavenumber domain without decoupling, makes it difficult to solve. In this paper Fl GGE shells is derived from the theory of elliptic cylindrical shell of the forced vibration equation based on the wave communication method elliptic cylindrical shell displacement in double Fourier series, Fourier series single circumferential curvature to form, through the transformation of series of variable coefficient differential equations of finite order conversion for circumferential wave numbers of coupling constant coefficient linear equations, by solving the coupled equations of elliptic cylindrical shell by forced displacement vibration the response. By comparing with the numerical simulation and the results, verify the accuracy of the proposed method, the solving efficiency is higher. At the same time are the main parameters of the influence on the vibration of the shell Flow analysis, small input power draw force along the long axis direction of the excitation half, larger input power flow along the short half axis excitation; ellipticity of the input power flow effect is mainly in the low frequency domain; the shell thickness ratio decreases, elliptic cylindrical shell input power flow peak shifted to lower frequency and amplitude increases.

【作者單位】： 華中科技大學(xué)船舶與海洋工程學(xué)院;
【基金】：國家自然科學(xué)基金項(xiàng)目(51379083,51479079,51579109) 高等學(xué)校博士學(xué)科點(diǎn)專項(xiàng)科研基金項(xiàng)目(20120142110051)
【分類號】：O327
【正文快照】： 網(wǎng)絡(luò)出版地址:http://kns.cnki.net/kcms/detail/23.1390.u.20170320.1107.002.html隨著加工技術(shù)的進(jìn)步,橢圓柱殼在潛器、航空航天、管道輸送等領(lǐng)域的應(yīng)用日益增多。相比于圓柱殼結(jié)構(gòu),橢圓柱殼在潛器、航空器倉容及設(shè)備布置上具有更大優(yōu)勢,橢圓形管道相對于方形管道斷面濕周面

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本文編號：1418982