【摘要】：傳遞矩陣技術(shù)是國(guó)際上工程技術(shù)界近數(shù)十年來發(fā)展起來的一種效率非常高、非常可靠的鏈?zhǔn)浇Y(jié)構(gòu)系統(tǒng)計(jì)算分析工具。理論基礎(chǔ)首先是將一個(gè)完整的復(fù)雜結(jié)構(gòu)系統(tǒng)離散成一系列子單元或子結(jié)構(gòu),然后針對(duì)離散后的每一個(gè)結(jié)構(gòu)子單元建立該單元左右兩端狀態(tài)變量的傳遞矩陣,最后在計(jì)算機(jī)的協(xié)助下利用矩陣的簡(jiǎn)單傳遞原理對(duì)結(jié)構(gòu)進(jìn)行動(dòng)靜態(tài)分析以及穩(wěn)定性分析。由于傳遞矩陣技術(shù)相比有限單元法等分析方法具有簡(jiǎn)便實(shí)用,傳遞矩陣階數(shù)低,無需預(yù)知振型,且對(duì)計(jì)算機(jī)性能要求不高,計(jì)算機(jī)時(shí)短,易為一般工程技術(shù)人員所掌握等優(yōu)點(diǎn),近年來特別受到工程技術(shù)人員的青睞。傳遞矩陣技術(shù)已經(jīng)在建筑結(jié)構(gòu)、航空航天、石油勘探、電力機(jī)械、火炮火箭等很多領(lǐng)域得到十分廣泛應(yīng)用。其中在這些領(lǐng)域中的線性系統(tǒng)應(yīng)用較多、也比較成熟,但在大型復(fù)雜非線性系統(tǒng)中的應(yīng)用研究才剛剛開始、還非常初步。對(duì)轉(zhuǎn)子-軸承系統(tǒng)的動(dòng)力響應(yīng)研究和其他體系的研究一樣,都是從線彈性范圍開始,逐步增加約束條件和邊界條件,過渡到局部非線性系統(tǒng),然后是整體非線性系統(tǒng)等等。嚴(yán)格來講,線性系統(tǒng)是理想化的、忽略次要因素簡(jiǎn)化后的系統(tǒng),非線性系統(tǒng)才是物理現(xiàn)象的本質(zhì)屬性。本文研究的主要內(nèi)容是對(duì)傳統(tǒng)的Prohl傳遞矩陣技術(shù)進(jìn)行改進(jìn),使其能夠有效的應(yīng)用于非線性鏈?zhǔn)浇Y(jié)構(gòu)系統(tǒng)中。主要研究?jī)?nèi)容如下:1、深入學(xué)習(xí)和研究了傳遞矩陣技術(shù),綜述了傳遞矩陣技術(shù)在建筑機(jī)械結(jié)構(gòu)等領(lǐng)域的線性系統(tǒng)以及非線性系統(tǒng)中的應(yīng)用;2、本文基于Prohl傳遞矩陣技術(shù),提出借助Wilson-θ法建立傳遞矩陣關(guān)系,利用Rugge-kutta法計(jì)算傳遞矩陣中的非線性項(xiàng),使改進(jìn)后的Prohl傳遞矩陣技術(shù)能應(yīng)用于非線性鏈?zhǔn)浇Y(jié)構(gòu)系統(tǒng)的分析計(jì)算;3、針對(duì)傳遞矩陣技術(shù)在每一時(shí)刻各個(gè)站位的狀態(tài)變量的傳遞,本文采用加速度作為傳遞變量,這樣避免了使用位移作為傳遞變量時(shí)帶來的數(shù)值不穩(wěn)定現(xiàn)象,提高了本文方法的數(shù)值穩(wěn)定性。4、最后用改進(jìn)后的Prohl傳遞矩陣技術(shù),實(shí)例分析計(jì)算了一個(gè)非線性雙轉(zhuǎn)子系統(tǒng)的瞬態(tài)響應(yīng)和穩(wěn)態(tài)響應(yīng),通過與有限元法分析計(jì)算結(jié)果比較,驗(yàn)證了本文方法的正確性和有效性。
[Abstract]:Transfer matrix technology is a very efficient and reliable tool for the calculation and analysis of chain structure system, which has been developed in the field of engineering technology in recent decades. The theoretical basis is that a complete complex structural system is discretized into a series of subunits or substructures, and then the transfer matrix of the state variables at the left and right ends of the element is established for each discrete structural subsystem. Finally, with the assistance of computer, the static analysis and stability analysis of structural advance are carried out by using the simple transfer principle of matrix. Compared with the finite element method, the transfer matrix technique is simple and practical, the order of the transfer matrix is low, there is no need to predict the vibration mode, and the performance of the computer is not high, the computer time is short, and it is easy to be mastered by the general engineers and technicians. In recent years, it has been especially favored by engineers and technicians. Transfer matrix technology has been widely used in many fields, such as building structure, aerospace, oil exploration, power machinery, artillery and rocket and so on. Among them, there are many applications and mature linear systems in these fields, but the research on the application of linear systems in large and complex nonlinear systems has only just begun and is still very preliminary. The dynamic response of rotor-bearing system is the same as that of other systems, starting from the linear elastic range, gradually increasing the constraint and boundary conditions, transitioning to the local nonlinear system, and then the global nonlinear system and so on. Strictly speaking, the linear system is idealized, and the nonlinear system is the essential attribute of the physical phenomenon by neglecting the simplified system with secondary factors. The main content of this paper is to improve the traditional Prohl transfer matrix technology so that it can be effectively applied to nonlinear chain structure systems. The main research contents are as follows: 1. The transfer matrix technology is deeply studied and studied, and the application of transfer matrix technology in linear systems and nonlinear systems in the field of construction machinery structure is reviewed. 2. Based on the Prohl transfer matrix technique, this paper proposes to establish the transfer matrix relation with the help of Wilson- 胃 method, and to calculate the nonlinear terms in the transfer matrix by Rugge-kutta method. The improved Prohl transfer matrix technique can be applied to the analysis and calculation of nonlinear chain structure systems. 3. In view of the transfer of the state variables of each station at each time, the acceleration is used as the transfer variable, which avoids the numerical instability caused by the use of displacement as the transfer variable. The numerical stability of the proposed method is improved. 4. Finally, the transient response and steady state response of a nonlinear double rotor system are analyzed and calculated by using the improved Prohl transfer matrix technique, and the results are compared with those of the finite element method. The correctness and effectiveness of the proposed method are verified.
【學(xué)位授予單位】：西安工業(yè)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TH113

【引證文獻(xiàn)】

相關(guān)碩士學(xué)位論文 前1條

1 周元偉;磁懸浮儲(chǔ)能飛輪轉(zhuǎn)子系統(tǒng)的臨界轉(zhuǎn)速分析[D];哈爾濱工程大學(xué);2018年

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本文編號(hào)：2479782