發(fā)布時(shí)間：2018-05-29 13:23

  本文選題：多接觸約束 + 計(jì)算穩(wěn)定性��； 參考：《電子科技大學(xué)》2011年碩士論文

【摘要】：在對(duì)包含多接觸約束的系統(tǒng)進(jìn)行虛擬樣機(jī)仿真時(shí)候,由于接觸數(shù)目的繁多,系統(tǒng)的計(jì)算效率和求解成功率通常不高,存在明顯的計(jì)算穩(wěn)定性的問題,其中接觸的強(qiáng)非線性是導(dǎo)致計(jì)算困難的主要原因之一。這些問題在一定程度上阻礙了虛擬樣機(jī)系統(tǒng)在機(jī)械動(dòng)力學(xué)系統(tǒng)中的應(yīng)用和發(fā)展。在對(duì)多接觸約束系統(tǒng)計(jì)算方法的研究和總結(jié)前人求解此類問題的方法的基礎(chǔ)上,本文采用實(shí)時(shí)激活消隱接觸約束的方法,提高了求解包含多約束接觸的系統(tǒng)的求解效率,并且能夠保證計(jì)算結(jié)果的精確性;在研究拓?fù)渥兓�(wěn)定性的理論的基礎(chǔ)上,對(duì)系統(tǒng)計(jì)算過程中出現(xiàn)的穩(wěn)定性方面的問題進(jìn)行了分析和討論,總結(jié)出保證系統(tǒng)拓?fù)浞�(wěn)定變化的范圍。研究的內(nèi)容主要包括以下幾個(gè)部分: (1)在對(duì)機(jī)械動(dòng)力學(xué)和接觸力學(xué)理論進(jìn)行學(xué)習(xí)的基礎(chǔ)上,總結(jié)前人關(guān)于求解多接觸約束系統(tǒng)的方法,對(duì)手動(dòng)激活消隱接觸約束的方法進(jìn)行改進(jìn)得到實(shí)時(shí)激活消隱約束的方法,在保證求解精度和正確性的前提下,提高了系統(tǒng)的計(jì)算效率。 (2)對(duì)系統(tǒng)輸出的雅克比矩陣進(jìn)行分析,找到了系統(tǒng)求解計(jì)算雅克比矩陣的相關(guān)信息,揭示了提高系統(tǒng)求解效率提出的實(shí)時(shí)激活消隱的方法的數(shù)學(xué)本質(zhì)。 (3)以系統(tǒng)穩(wěn)定性理論為指導(dǎo),分析了多接觸約束系統(tǒng)在計(jì)算過程中由于消隱激活約束帶來系統(tǒng)拓?fù)涞淖兓?從而導(dǎo)致可能出現(xiàn)的不穩(wěn)定狀況;用一個(gè)實(shí)際的包含多接觸的鏈傳動(dòng)模型為例子,驗(yàn)證了由于改變初始條件帶來的系統(tǒng)不穩(wěn)定狀況,并在這個(gè)過程中觀察到了混沌現(xiàn)象;通過這個(gè)實(shí)驗(yàn)找出保證系統(tǒng)能夠穩(wěn)定求解的一個(gè)影響因子和范圍。 本文在總結(jié)前人的基礎(chǔ)上采用實(shí)時(shí)激活消隱接觸約束,從本質(zhì)上降低了求解雅克比矩陣的維度,保證了計(jì)算精度,提高了計(jì)算的效率;研究了變拓?fù)錂C(jī)構(gòu)在激活消隱過程中導(dǎo)致的拓?fù)渥兓瘜?duì)系統(tǒng)的穩(wěn)定性的影響,并對(duì)系統(tǒng)由于初始條件變換可能引起的混沌現(xiàn)象的產(chǎn)生進(jìn)行了分析,推動(dòng)了虛擬樣機(jī)技術(shù)在機(jī)械動(dòng)力學(xué)中的應(yīng)用。
[Abstract]:In the virtual prototype simulation of the system with multiple contact constraints, the computational efficiency and the success rate of the system are usually not high because of the large number of contacts, so there is an obvious problem of computational stability. The strong nonlinearity of contact is one of the main reasons for the difficulty of calculation. To some extent, these problems hinder the application and development of virtual prototype system in mechanical dynamics system. Based on the research on the calculation methods of multi-contact constraint systems and the previous methods to solve such problems, the method of real-time activation of hidden contact constraints is used in this paper to improve the efficiency of solving the systems with multi-constraint contact. On the basis of studying the theory of topological stability, the problems of stability in the calculation process of the system are analyzed and discussed. The range of the system topology stability is summarized. The contents of the study mainly include the following parts: 1) on the basis of studying the theory of mechanical dynamics and contact mechanics, the methods of solving multi-contact constraint system are summarized, and the method of manual activation of hidden contact constraint is improved to obtain the method of real-time activation of blanking constraint. The calculation efficiency of the system is improved under the premise of ensuring the accuracy and correctness of the solution. 2) by analyzing the Jacobian matrix output from the system, the relevant information of solving the Jacobian matrix is found, and the mathematical essence of the real-time activation blanking method proposed to improve the efficiency of the system solution is revealed. 3) under the guidance of system stability theory, this paper analyzes the potential instability of multi-contact constrained system due to the change of system topology due to the hidden activation constraint in the calculation process. Taking a practical chain transmission model with multiple contacts as an example, the instability of the system caused by changing the initial conditions is verified, and chaotic phenomena are observed in the process. Through this experiment, we find out an influence factor and range to ensure the system can be solved stably. In this paper, based on the conclusion of predecessors, real-time activation of hidden contact constraints is used to reduce the dimension of solving Jacobian matrix, ensure the accuracy of calculation and improve the efficiency of calculation. In this paper, the influence of topology change on the stability of the system caused by the active blanking of the variable topology mechanism is studied, and the chaotic phenomena caused by the change of the initial conditions of the system are analyzed. The application of virtual prototyping technology in mechanical dynamics is promoted.
【學(xué)位授予單位】：電子科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2011
【分類號(hào)】：TH113

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本文編號(hào)：1951031