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  本文選題：復(fù)數(shù)域　切入點：耦合場　出處：《蘭州理工大學(xué)》2016年碩士論文

【摘要】：基于纖維增強層板正交各向異性特性,在許多實際工程的內(nèi)核及其外延,應(yīng)力集中現(xiàn)象依然為宏觀影響因素,成為理論研究題材的源。本文采用復(fù)數(shù)域和有限元法分析揭示了橢圓存在與應(yīng)力分布的相關(guān)性,具體表現(xiàn)為類逆解法下的應(yīng)力場決定鋪層方式以及溫度、濕度耦合場層合板物理方程表征。全文對復(fù)合材料層合板屈曲問題和孔口應(yīng)力集中問題施以嚴(yán)密的理論推導(dǎo),主要表現(xiàn)在如下幾個方面:(1)假設(shè)層合板在受均布力和剪切效應(yīng)共同作用下發(fā)生屈曲由于層合板與梁桿尺寸的差異性和層合板鋪層排布的非單向性,板處于拉伸或壓縮狀態(tài)下,變形的不一致性導(dǎo)致層合板原有的面內(nèi)平衡被打破,繼而逐漸向板面法線方向屈曲并建立新的穩(wěn)定平衡。(2)假設(shè)層合板孔口問題影響其穩(wěn)定性孔口位置、孔口尺寸和孔口類型影響板內(nèi)應(yīng)力分布,進而板屈曲時產(chǎn)生過屈曲不可逆塑性變形或者層合板全域進行撓度再分布。(3)設(shè)定層合板的變形仍遵循小變形。層合板同時受均布力和剪切效應(yīng)共同作用,如果共同作用產(chǎn)生的撓度與各自產(chǎn)生的撓度疊加等效,孔口應(yīng)力集中問題因而視為不同受力狀態(tài)的合效應(yīng)。通過嚴(yán)密的理論論證和與既有的理論研究成果和實驗數(shù)據(jù)參照,主要研究工作如下:(1)給出多角度異源層合板多重受力狀態(tài)下屈曲性能的研究途徑針對多角度異源層合板嚴(yán)重的各向異性,擬采用屈曲滿足疊加原理假設(shè),并推證假設(shè)的合理性。(2)給出層合板孔口應(yīng)力集中問題的研究方法利用復(fù)變函數(shù)法和有限元方法實現(xiàn)孔口應(yīng)力極值的理論計算,并探討孔口應(yīng)力分布的影響因素。(3)提出層合板穩(wěn)定性臨界值與孔口的相關(guān)性研究孔口位置、孔口大小和孔口類型對臨界值的程度相關(guān)性,分析并給出臨界值與各影響因素間的量化關(guān)系。(4)設(shè)想多角度異源層合板屈曲性能研究的其它途徑
[Abstract]:Based on the orthotropic properties of fiber reinforced laminates, stress concentration is still a macroscopical factor in the core and extension of many practical projects, which has become the source of theoretical research.In this paper, the correlation between the existence of ellipse and the stress distribution is revealed by using complex domain and finite element method. It is shown that the stress field determines the layering mode and the physical equation of the coupled field of temperature and humidity.In this paper, the buckling problem of composite laminated plates and the stress concentration problem at the orifice of composite laminates are derived from a rigorous theoretical derivation.The main performance is as follows: (1) assuming that the laminated plate is buckled under the combined action of uniform force and shear effect. Due to the difference of the size between the laminated plate and the beam rod and the non-unidirectional arrangement of the laminated plate, the laminated plate is in the state of tension or compression.The inconsistency of deformation causes the original in-plane equilibrium of the laminated plate to be broken, and then buckles gradually to the normal direction of the plate and establishes a new stable equilibrium. 2) assuming that the orifice problem of the laminated plate affects the location of the stable orifice.The size of the orifice and the type of the orifice affect the stress distribution in the plate, and then the post-buckling irreversible plastic deformation or the deflection redistribution in the whole region of the laminated plate. 3) the deformation of the laminated plate still obeys the small deformation.The laminated plate is subjected to the interaction of uniform force and shear effect at the same time. If the deflection produced by the joint action is equivalent to the deflection produced by each other, the stress concentration at the orifice is regarded as the combined effect of different stress states.The main research work is as follows: (1) A research approach to the buckling behavior of multi-angle heterogenous laminated plates under multiple loads is given. In view of the serious anisotropy of multi-angle heterogeneous laminated plates, the buckling method is proposed to satisfy the superposition principle hypothesis.The research method of stress concentration at the orifice of laminated plate is given. The complex variable function method and the finite element method are used to realize the theoretical calculation of the stress extreme value at the orifice of the laminated plate.The relationship between the critical value of laminated plate stability and the orifice is discussed. The relationship between the location of the orifice, the size of the orifice and the type of the orifice on the critical value is discussed.The quantitative relationship between the critical value and the influencing factors. (4) other ways to study the buckling behavior of multi-angle heterogenous laminates are proposed.
【學(xué)位授予單位】：蘭州理工大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2016
【分類號】：TB33

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本文編號：1689979