本文選題：多股螺旋彈簧 + 靜態(tài)響應(yīng)��； 參考：《重慶大學(xué)》2015年博士論文

【摘要】：多股螺旋彈簧(簡(jiǎn)稱多股簧)是用由多股、多層彈簧鋼絲擰成的鋼索卷繞而成的圓柱螺旋彈簧,與普通單股彈簧相比,多股簧具有強(qiáng)度高、壽命長(zhǎng)、可靠性高、抗油污、減振抗沖擊性能好等優(yōu)點(diǎn),是自動(dòng)武器、重型機(jī)械以及各種高端裝備中的重要復(fù)位基礎(chǔ)件。多股簧制造困難,限制了其推廣應(yīng)用,過(guò)去僅僅在極少數(shù)軍工產(chǎn)品中使用。近年來(lái),多股簧高精度數(shù)控加工技術(shù)已逐漸成熟,多股簧制造問(wèn)題已基本解決,多股簧的優(yōu)點(diǎn)也逐漸被廣泛了解,許多企業(yè)都希望在其產(chǎn)品中用多股簧替換原來(lái)的單股彈簧以達(dá)到改進(jìn)產(chǎn)品性能的目的。然而,現(xiàn)階段針對(duì)多股簧的理論研究主要集中在多股簧的制造裝備和幾何模型方面,而多股簧的響應(yīng)模型及多股簧系統(tǒng)的響應(yīng)分析理論研究很不充分,相關(guān)企業(yè)在使用多股簧時(shí)沒(méi)有理論指導(dǎo),難以充分發(fā)揮多股簧的優(yōu)點(diǎn)。本文以解決多股簧工程應(yīng)用中的關(guān)鍵問(wèn)題為核心目標(biāo),在多股簧的制造、靜態(tài)響應(yīng)建模、動(dòng)態(tài)響應(yīng)建模以及多股簧系統(tǒng)的動(dòng)態(tài)響應(yīng)分析等方面開(kāi)展了以下研究工作:①首先,針對(duì)多股簧卷繞加工的關(guān)鍵參數(shù)——鋼絲捻距的選取尚無(wú)理論支持的問(wèn)題,研究了最優(yōu)鋼絲捻距的的選取準(zhǔn)則,提出了最優(yōu)鋼絲捻距的計(jì)算方法,解決了制約多股簧新產(chǎn)品快速開(kāi)發(fā)的關(guān)鍵問(wèn)題;②針對(duì)目前多股簧靜態(tài)響應(yīng)模型尚不完善,不能很好的描述多股簧非線性剛度,導(dǎo)致設(shè)計(jì)基于多股簧的復(fù)位機(jī)構(gòu)時(shí)缺乏理論指導(dǎo)的問(wèn)題,考慮多股簧鋼索受載變形時(shí)同層各股鋼絲接觸狀態(tài)變化的影響,提出了多股簧靜態(tài)響應(yīng)的“兩狀態(tài)”模型,該模型可反映多股簧的非線性剛度,提高了多股簧靜態(tài)響應(yīng)分析的精度,為基于多股簧的復(fù)位裝置的設(shè)計(jì)提供了理論支持;③針對(duì)目前尚無(wú)能夠同時(shí)準(zhǔn)確描述多股簧非線性剛度和滯遲阻尼的高精度多股簧動(dòng)態(tài)響應(yīng)模型,導(dǎo)致無(wú)法分析股簧系統(tǒng)動(dòng)態(tài)響應(yīng)的問(wèn)題,通過(guò)對(duì)大量實(shí)驗(yàn)數(shù)據(jù)的分析,歸納了多股簧動(dòng)態(tài)響應(yīng)曲線的基本性質(zhì),在此基礎(chǔ)上提出了一種多股簧動(dòng)態(tài)響應(yīng)模型,該模型是一種修正的歸一化Bouc-Wen模型,具有精度高、參數(shù)易識(shí)別的優(yōu)點(diǎn),為多股簧動(dòng)態(tài)系統(tǒng)的設(shè)計(jì)、分析奠定了理論基礎(chǔ);④針對(duì)現(xiàn)有參數(shù)識(shí)別方法多基于非線性迭代算法,需要人為給定合適的初始猜測(cè)解,在工程應(yīng)用時(shí)常因收斂性問(wèn)題導(dǎo)致不能正確識(shí)別多股簧動(dòng)態(tài)響應(yīng)模型參數(shù)的問(wèn)題,結(jié)合多股簧動(dòng)態(tài)響應(yīng)模型的自身特點(diǎn),提出一種無(wú)需迭代的兩步識(shí)別方法,將這一方法與現(xiàn)有的非線性迭代法相結(jié)合,提出了一種無(wú)須人為給定初始猜測(cè)解的、精度更高的三步參數(shù)識(shí)別方法,這兩種方法解決了多股簧動(dòng)態(tài)響應(yīng)模型參數(shù)識(shí)別困難的問(wèn)題,為后續(xù)響應(yīng)分析研究提供了條件;⑤針對(duì)工程中重點(diǎn)關(guān)注的多股簧系統(tǒng)穩(wěn)態(tài)諧波響應(yīng)問(wèn)題,以非線性系統(tǒng)響應(yīng)分析的諧波平衡法為理論基礎(chǔ),首先推導(dǎo)了適用于弱非線性多股簧系統(tǒng)穩(wěn)態(tài)諧波響應(yīng)的單諧波解,而后引入非線性迭代算法,與諧波平衡法結(jié)合,將非線性微分方程的求解問(wèn)題轉(zhuǎn)化為最優(yōu)化問(wèn)題,提出了可分析強(qiáng)非線性多股簧系統(tǒng)的迭代多諧波平衡分析方法,實(shí)踐表明,該方法是多股簧系統(tǒng)諧響應(yīng)分析的一種有效手段;⑥針對(duì)工程中大量實(shí)際多股簧系統(tǒng)均呈現(xiàn)近似線性系統(tǒng)的響應(yīng)行為的現(xiàn)象以及多股簧系統(tǒng)的隨機(jī)響應(yīng)問(wèn)題,研究了多股簧系統(tǒng)動(dòng)態(tài)響應(yīng)的等效線性化和統(tǒng)計(jì)線性化方法。等效線性化方法以本文研究的歸一化Bouc-Wen模型能量損耗分析方法為基礎(chǔ),適用于多股簧系統(tǒng)的穩(wěn)態(tài)諧波響應(yīng)分析;統(tǒng)計(jì)線性化方法適用于多股簧系統(tǒng)的隨機(jī)響應(yīng)分析,該方法可處理激勵(lì)功率譜密度函數(shù)為理分式的多股簧系統(tǒng)的平穩(wěn)隨機(jī)響應(yīng)問(wèn)題。線性化分析方法具有分析速度快的優(yōu)點(diǎn),可在多股簧系統(tǒng)初步設(shè)計(jì)時(shí)作為一種高效但精度略低的方法使用。
[Abstract]:Multi strand spring (short spring) is a cylindrical spiral spring made of steel cables twisted by multiple strands and multi layer spring steel wires. Compared with the ordinary single spring, multiple springs have the advantages of high strength, long life, high reliability, anti oil pollution, good shock resistance and shock resistance, and are the weight of automatic weapons, heavy machinery and all kinds of high-end equipment. In order to reset the base parts. Multiple spring manufacturing is difficult to restrict its application. In the past, it was used only in a few military products. In recent years, the multi spring high precision CNC machining technology has gradually matured, the problem of multi spring manufacturing has been basically solved, and the advantages of multi spring spring have gradually been widely understood, and many enterprises want to use multiple shares in their products. The spring replaces the original single spring for the purpose of improving the performance of the product. However, at this stage, the theoretical research on the multiple spring is mainly focused on the manufacturing equipment and geometric model of the multi spring spring, while the response model of the multiple spring and the response analysis theory of the multiple spring system are not fully studied. Theoretical guidance is difficult to give full play to the advantages of multiple springs. This paper aims at solving the key problems in the application of multiple spring engineering. The following research work has been carried out in the manufacturing of multiple spring springs, modeling of static response, dynamic response modeling, and dynamic response analysis of multiple spring systems. The key parameter, the selection of the wire twist distance, has not yet supported the theoretical support. The selection criteria of the optimal wire distance are studied, the calculation method of the optimal wire twist distance is put forward, and the key problem that restricts the rapid development of the multi spring new product is solved. Secondly, the multi spring static response model is not perfect and can not describe the multiple shares well. The spring nonlinear stiffness leads to the lack of theoretical guidance in the design of a reset mechanism based on multiple springs. Considering the influence of the changes in the contact state of the steel wire in the same layer when the multiple spring steel cables are loaded, the "two state" model of the multi spring static response is proposed. The model can reflect the nonlinear stiffness of the multiple spring and increase the static state of the multiple spring. The accuracy of the response analysis provides a theoretical support for the design of a reset device based on multiple springs. (3) there is not yet a high precision multi spring dynamic response model that can accurately describe the nonlinear stiffness and hysteresis damping of multiple springs at the same time, which leads to the failure to analyze the dynamic response of the spring system, and through the analysis of a large number of experimental data, The basic properties of multi spring dynamic response curve are summed up. On this basis, a dynamic response model of multiple springs is proposed. This model is a modified normalized Bouc-Wen model, which has the advantages of high precision and easy to identify parameters. It lays a theoretical foundation for the design of multi spring dynamic system and analyses the existing parameter identification method. Based on the nonlinear iterative algorithm, it is necessary to give the proper initial conjecture and the problem that the parameters of the dynamic response model can not be identified correctly in the engineering application because of the convergence problem. A two step recognition method without iteration is proposed, which combines the characteristics of the multi spring dynamic response model. In combination with the nonlinear iterative method, a three step parameter identification method with higher precision is proposed without human given initial guess solution. These two methods solve the difficult problem of multi spring dynamic response model parameter identification, and provide conditions for the follow-up response analysis. 5. The harmonic response problem is based on the harmonic balance method of nonlinear system response analysis. First, the single harmonic solution for the steady harmonic response of the weak nonlinear multi ply spring system is derived. Then the nonlinear iterative algorithm is introduced and the solution of the nonlinear differential equation is transformed into the optimization problem by combining the nonlinear iterative algorithm with the harmonic balance method. The iterative multi harmonic equilibrium analysis method for the analysis of strong nonlinear multiple spring systems is presented. The practice shows that this method is an effective method for the harmonic response analysis of multiple spring systems. The equivalent linearization and statistical linearization method for dynamic response of multiple spring systems is used. The equivalent linearization method is based on the normalized Bouc-Wen model energy loss analysis method studied in this paper. It is suitable for the steady harmonic response analysis of multiple spring systems, and the statistical linearization method is suitable for the random response analysis of multiple spring systems. This method is applied to the analysis of the random response of multiple spring systems. The linear analysis method has the advantage of fast analysis, which can be used as a highly efficient but slightly lower precision method for the preliminary design of multiple spring systems.

【學(xué)位授予單位】：重慶大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2015
【分類號(hào)】：TH135

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