硬涂層梁及板復(fù)合結(jié)構(gòu)動(dòng)力學(xué)建模與分析
本文選題:硬涂層梁 + 硬涂層板 ; 參考:《東北大學(xué)》2014年碩士論文
【摘要】:硬涂層是由金屬基和陶瓷基做成的涂層材料,主要應(yīng)用于結(jié)構(gòu)件的熱障、抗摩擦、抗腐蝕等。最近的研究發(fā)現(xiàn),硬涂層還具有阻尼減振效果,且特別適用于對(duì)動(dòng)力裝備中的薄殼結(jié)構(gòu)(例如葉片、圓柱殼體等)進(jìn)行減振。為了有效實(shí)施硬涂層阻尼減振,需要?jiǎng)?chuàng)建硬涂層復(fù)合結(jié)構(gòu)的動(dòng)力學(xué)模型來分析硬涂層的減振機(jī)理。但是,作為一種新興的減振技術(shù),這方面的研究還很不充分。對(duì)硬涂層阻尼減振機(jī)理認(rèn)識(shí)不清已嚴(yán)重限制了硬涂層阻尼減振技術(shù)的發(fā)展。本文以涂敷硬涂層的梁及薄板為研究對(duì)象,在科學(xué)引入硬涂層材料力學(xué)特點(diǎn)的基礎(chǔ)上,研究硬涂層復(fù)合結(jié)構(gòu)動(dòng)力學(xué)建模的方法,具體研究內(nèi)容體現(xiàn)在如下四方面:首先,基于復(fù)合梁理論對(duì)基礎(chǔ)激勵(lì)作用下硬涂層懸臂梁復(fù)合結(jié)構(gòu)進(jìn)行振動(dòng)特性分析。利用復(fù)模量理論,將硬涂層的參數(shù)引入到結(jié)構(gòu)動(dòng)力學(xué)方程中,建立了基礎(chǔ)激勵(lì)作用下該復(fù)合結(jié)構(gòu)的解析分析模型,并用有限元法驗(yàn)證了分析模型的正確性。繼而,基于所創(chuàng)建的模型,研究了硬涂層楊氏模量、損耗因子、厚度等參數(shù)對(duì)復(fù)合梁的動(dòng)力學(xué)特性的影響規(guī)律。然后,基于復(fù)合板理論對(duì)基礎(chǔ)激勵(lì)作用下硬涂層懸臂板復(fù)合結(jié)構(gòu)進(jìn)行振動(dòng)特性分析。利用復(fù)模量理論來引入硬涂層的參數(shù),利用雙向梁函數(shù)組合法建立了基礎(chǔ)激勵(lì)作用下該復(fù)合件的拉格朗日方程,得到了求解固有特性和振動(dòng)響應(yīng)的解析表達(dá)式。用有限元法驗(yàn)證了分析模型的正確性,在此基礎(chǔ)上,用該解析模型分析了硬涂層楊氏模量、損耗因子、厚度等參數(shù)對(duì)復(fù)合板的動(dòng)力學(xué)特性的影響規(guī)律。再則,硬涂層材料的力學(xué)特性參數(shù)會(huì)隨著激勵(lì)幅度的不同而發(fā)生改變,即表現(xiàn)為應(yīng)變依賴性。硬涂層材料的非線性致使硬涂層復(fù)合結(jié)構(gòu)也表現(xiàn)出非線性的力學(xué)特點(diǎn)。這里在考慮硬涂層材料應(yīng)變依賴性的前提下,提出采用迭代有限元來分析硬涂層復(fù)合結(jié)構(gòu)動(dòng)力學(xué)特性的方法,確定了合理的分析流程。然后分別以硬涂層梁和硬涂層板為實(shí)例進(jìn)行了分析,并用實(shí)驗(yàn)校驗(yàn)了分析的正確性。最后,同樣考慮硬涂層材料的應(yīng)變依賴性,對(duì)硬涂層懸臂梁結(jié)構(gòu)進(jìn)行解析分析,創(chuàng)建了該復(fù)合梁結(jié)構(gòu)的非線性動(dòng)力學(xué)方程。進(jìn)一步,提出利用逐步迭代法和Newton-Raphson法來求解硬涂層復(fù)合梁的固有頻率和定頻響應(yīng)的方法以及計(jì)算流程。實(shí)例分析表明,用所提出的方法獲得的固有頻率和定頻響應(yīng)值與有限元計(jì)算基本一致,從而證明了該解析分析模型的正確性。本文可為在硬涂層減振研究中,選擇與制備硬涂層材料提供參考,為進(jìn)一步深入研究硬涂層的阻尼減振機(jī)理提供參考,也可為硬涂層減振技術(shù)在動(dòng)力裝備薄殼結(jié)構(gòu)上推廣應(yīng)用提供支持。
[Abstract]:Hard coating is a coating material made of metal and ceramic. It is mainly used in thermal barrier, friction resistance and corrosion resistance of structural parts. Recent studies have found that the hard coating also has damping effect and is especially suitable for vibration absorption of thin shell structures (such as blades cylindrical shells etc.) in power equipment. In order to effectively implement the damping and damping of hard coatings, it is necessary to establish a dynamic model of hard coating composite structure to analyze the mechanism of hard coating damping. However, as a new vibration absorption technology, the research in this area is not enough. The development of hard coating damping technology has been seriously restricted by unclear understanding of the mechanism of hard coating damping and vibration absorption. On the basis of introducing the mechanical characteristics of hard coating materials scientifically, the dynamic modeling method of hard coating composite structure is studied in this paper. The specific research contents are as follows: firstly, Based on the theory of composite beam, the vibration characteristics of hard-coated cantilever composite structure under foundation excitation are analyzed. Based on the complex modulus theory, the parameters of the hard coating are introduced into the structural dynamic equation, and the analytical analysis model of the composite structure under the foundation excitation is established, and the correctness of the analytical model is verified by the finite element method. Then, based on the model, the influence of the parameters such as Young's modulus, loss factor and thickness of hard coating on the dynamic characteristics of composite beam is studied. Then, based on the theory of composite plate, the vibration characteristics of cantilever composite structure with hard coating under the action of foundation excitation are analyzed. Using the complex modulus theory to introduce the parameters of the hard coating, the Lagrange equation of the composite subjected to foundation excitation is established by using the bidirectional beam function combination method, and the analytical expressions for solving the natural characteristics and vibration response are obtained. The validity of the analytical model is verified by finite element method. On the basis of the model, the influence of the parameters such as Young's modulus, loss factor and thickness of hard coating on the dynamic characteristics of the composite plate is analyzed. Furthermore, the mechanical properties of the hard coating materials change with the excitation amplitude, that is, the mechanical properties of the hard coating materials are strain dependent. Due to the nonlinearity of hard coating materials, the composite structure of hard coating also shows nonlinear mechanical characteristics. In this paper, an iterative finite element method is proposed to analyze the dynamic characteristics of hard coating composite structures considering the strain dependence of hard coating materials, and the reasonable analysis flow is determined. Then, the examples of hard coated beam and hard coated plate are analyzed, and the correctness of the analysis is verified by experiments. Finally, considering the strain dependence of the hard coating material, the nonlinear dynamic equation of the composite beam structure is established by analytically analyzing the cantilever structure with hard coating. Furthermore, a method for calculating the natural frequency and fixed frequency response of a hard-coated composite beam by using the step-by-step iterative method and the Newton-Raphson method is presented. An example shows that the natural frequency and fixed frequency response obtained by the proposed method are in good agreement with the finite element method, which proves the correctness of the analytical model. This paper can provide a reference for the selection and preparation of hard coating materials in the study of hard coating vibration absorption, and for the further study of damping mechanism of hard coating. It can also provide support for the popularization and application of hard coating vibration absorption technology in the thin shell structure of power equipment.
【學(xué)位授予單位】:東北大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2014
【分類號(hào)】:TB535
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