【摘要】：復合材料層合結(jié)構(gòu)是復合材料應用的基本結(jié)構(gòu)之一,其動力學模型的建立與振動特性的研究具有重要的實際意義。目前,對于受主參激共振與內(nèi)共振聯(lián)合作用的復合材料層合板振動特性的研究相對較少,本文建立受面內(nèi)力主參激共振與內(nèi)共振聯(lián)合作用的復合材料層合板的動力學方程。以此為基礎(chǔ),選取正交各向異性的石墨/環(huán)氧層合板為研究對象,研究不同激勵參數(shù)及不同結(jié)構(gòu)參數(shù)對系統(tǒng)內(nèi)共振的影響。并對復合材料層合板的橫向振型函數(shù)進行三階模態(tài)假設(shè),研究阻尼系數(shù)對系統(tǒng)幅頻特性的影響,具體如下:首先,采用經(jīng)典剪切變形理論和von Kármán非線性形變理論,建立受面內(nèi)力參數(shù)激勵的復合材料層合板動力學方程,并對前兩階模態(tài)進行Galerkin截斷。其后,采用多尺度法進行近似求解,以石墨/環(huán)氧層合板作為研究對象,繪制單自由度主共振,兩自由度主參激共振與1:3內(nèi)共振聯(lián)合作用下系統(tǒng)的幅頻特性曲線。通過改變系統(tǒng)的結(jié)構(gòu)參數(shù),觀測系統(tǒng)參數(shù)的微小改變,對幅頻特性產(chǎn)生的巨大影響。其次,以建立的復合材料層合板的動力學方程為基礎(chǔ),假設(shè)其橫向振型函數(shù)為三階模態(tài)形式,進行三模態(tài)的Galerkin截斷,采用多尺度法近似求解并繪制了系統(tǒng)1:3:9內(nèi)共振條件下系統(tǒng)的幅頻特性曲線,觀察阻尼系數(shù)的變化對于系統(tǒng)響應幅值的影響。最后,以四邊簡支邊界條件下的酚醛電木板作為研究對象,采用理論計算與實驗對比的方式驗證了確定尺寸下的酚醛電木板,固有頻率滿足產(chǎn)生1:3內(nèi)共振的基本條件,進一步驗證了前文理論建模的準確性。
[Abstract]:Composite laminated structure is one of the basic structures used in composite materials. The establishment of its dynamic model and the study of its vibration characteristics are of great practical significance. At present, there are relatively few studies on the vibration characteristics of composite laminates subjected to the combination of principal parametric resonance and internal resonance. In this paper, the dynamic equations of composite laminated plates acting on the combination of principal parametric resonance and internal resonance are established. On this basis, the orthogonal anisotropic graphite / epoxy laminates were selected as the research object to study the effects of different excitation parameters and different structural parameters on the internal resonance of the system. The effects of damping coefficient on the amplitude-frequency characteristics of composite laminated plates are studied by using the third-order modal hypothesis. Firstly, the classical shear deformation theory and von K 謾 rm 謾 n nonlinear deformation theory are used. The dynamic equations of composite laminated plates excited by in-plane force parameters are established and the first two modes are truncated by Galerkin. Then, the multi-scale method is used to approximate the solution. The single degree of freedom principal resonance, two degree of freedom principal parametric resonance and 1:3 internal resonance are combined to draw the amplitude-frequency characteristic curve of the system, taking the graphite / epoxy laminated plate as the object of study. By changing the structural parameters of the system and observing the minor changes of the system parameters, the amplitude and frequency characteristics are greatly affected. Secondly, based on the dynamic equation of composite laminated plate, the transverse mode function is assumed to be a third-order mode form, and the three-mode Galerkin truncation is performed. The amplitude-frequency characteristic curve of the system under the condition of 1:3:9 internal resonance is approximately solved and drawn by the multi-scale method. The influence of the change of damping coefficient on the response amplitude of the system is observed. Finally, the phenolic electric plank with four edges simply supported boundary condition is taken as the research object. The theoretical calculation and experimental comparison are used to verify that the natural frequency of the phenolic electric board with certain size satisfies the basic condition of producing resonance within 1:3. Furthermore, the accuracy of the previous theoretical modeling is verified.
【學位授予單位】：蘇州大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：TB33

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本文編號：2339824