本文選題：任意變壁厚圓柱殼 + 軸壓屈曲　； 參考：《浙江大學(xué)》2016年博士論文

【摘要】：變壁厚和開孔圓柱殼結(jié)構(gòu)被廣泛應(yīng)用在石油、化工和航空航天等領(lǐng)域。變壁厚和開孔會破壞圓柱殼結(jié)構(gòu)的連續(xù)性,探索其對圓柱殼軸壓屈曲臨界載荷的影響規(guī)律依然是國內(nèi)外研究的熱點。本文綜合采用理論推導(dǎo)、實驗測試和非線性有限元數(shù)值模擬等手段,進(jìn)行了任意變壁厚和開孔這兩種因素對圓柱殼軸壓屈曲臨界載荷影響的研究,開展的主要工作如下。(1)建立了一種可用于計算任意(非軸對稱)變壁厚圓柱殼軸壓屈曲臨界載荷的理論分析方法。獲得了屈曲臨界載荷、應(yīng)力函數(shù)和徑向位移這三者關(guān)于厚度表征參數(shù)的漸進(jìn)表達(dá)式;針對壁厚沿軸向以指數(shù)形式變化的圓柱殼,討論了屈曲載荷削減因子λ與變壁厚參數(shù)ε、屈曲載荷削減因子λ與壁厚衰減波長參數(shù)a之間的關(guān)系。(2)從增大工作臺面尺寸、降低壓頭與工作臺面的距離、加大液壓缸行程、在工作臺面增加對中用的同心圓環(huán)和實現(xiàn)軸向載荷與應(yīng)變數(shù)據(jù)的同步采集等方面升級改造了軸壓屈曲試驗專用平臺,提升了平臺的測量范圍以及測量數(shù)據(jù)的準(zhǔn)確性和可靠性。(3)利用有限元特征值法初步研究了開孔高度、開孔率以及貫穿件壁厚等因素對僅開孔圓柱殼和含貫穿件圓柱殼軸壓屈曲臨界載荷的影響規(guī)律,制訂了僅開孔和含貫穿件圓柱殼軸壓屈曲實驗方案,設(shè)計并制作了多個具有代表性和較高加工精度的圓柱殼試件;同時開展了試件材料的拉伸試驗,完成了試件幾何參數(shù)的復(fù)測工作。(4)綜合開展了僅開孔圓柱殼軸壓屈曲實驗和非線性有限元數(shù)值模擬研究,提出了一種全新的基于圓柱殼實測幾何形貌數(shù)據(jù)的幾何模型創(chuàng)建方法,探討了開孔率、初始幾何缺陷、徑厚比和高徑比等因素對僅開孔圓柱殼軸壓屈曲臨界載荷的影響并給出相關(guān)規(guī)律。(5)進(jìn)行了含貫穿件圓柱殼軸壓屈曲實驗研究,比較了含貫穿件前后開孔圓柱殼試件的實驗現(xiàn)象和實驗數(shù)據(jù),結(jié)合經(jīng)過實驗驗證的非線性有限元數(shù)值模擬方法,研究了初始幾何缺陷和貫穿件壁厚等因素對含貫穿件圓柱殼軸壓屈曲臨界載荷的影響,提出了貫穿件壁厚參數(shù)的概念,并得到了該參數(shù)對含貫穿件圓柱殼軸壓屈曲臨界載荷的影響規(guī)律。
[Abstract]:Variable wall thickness and perforated cylindrical shell structures are widely used in petroleum, chemical, aerospace and other fields. Variable wall thickness and open hole will destroy the continuity of cylindrical shell structure. It is still a hot topic to study the influence of variable wall thickness and opening hole on the critical load of axial buckling of cylindrical shells. In this paper, the influence of arbitrary variable wall thickness and open hole on the critical load of cylindrical shells under axial compression is studied by means of theoretical derivation, experimental test and nonlinear finite element numerical simulation. The main work of this paper is as follows: (1) A theoretical analysis method for the axial buckling of cylindrical shells with arbitrary (non-axisymmetric) thickness under axial compression is developed. The asymptotic expressions of critical buckling load, stress function and radial displacement on the parameters of thickness characterization are obtained, and for cylindrical shells whose wall thickness changes exponentially along the axis, the critical buckling load, the stress function and the radial displacement are obtained. The relationship between buckling load reduction factor 位 and variable wall thickness parameter 蔚, buckling load reduction factor 位 and attenuation wavelength parameter a of wall thickness is discussed. The special platform for axial compression buckling test has been upgraded in the aspects of adding concentric ring to the working table and synchronously collecting axial load and strain data. The measurement range of the platform and the accuracy and reliability of the measurement data are improved. (3) using the finite element eigenvalue method, the open hole height is preliminarily studied. The influence of perforation ratio and perforated wall thickness on the axial buckling critical load of cylindrical shells with only perforated and perforated cylindrical shells is studied. The experimental scheme of axial compression buckling of cylindrical shells with only perforated and perforated cylindrical shells is established. Several typical cylindrical shell specimens with high machining accuracy were designed and fabricated, and tensile tests of the specimens were carried out. In this paper, the experimental results of axial compression buckling and nonlinear finite element numerical simulation of cylindrical shells with only holes have been carried out. A new method for creating geometric models based on the measured geometric topography data of cylindrical shells has been proposed. In this paper, the effects of porosity, initial geometric defects, ratio of diameter to thickness and ratio of height to diameter on the critical load of axial compression buckling of cylindrical shells with only open holes are discussed, and the relevant law is given. The experimental study of axial buckling of cylindrical shells with perforated elements is carried out. The experimental phenomena and experimental data of cylindrical shells with perforations before and after opening are compared, and the nonlinear finite element numerical simulation method is used to verify the experimental results. The effects of initial geometric defects and wall thickness on the critical load of axial compression buckling of cylindrical shells with perforated elements are studied, and the concept of wall thickness parameters of perforated cylindrical shells is proposed. The influence of this parameter on the critical load of axial compression buckling of cylindrical shells with perforated elements is obtained.
【學(xué)位授予單位】：浙江大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2016
【分類號】：TH114

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