本文選題：功能梯度板 + 橫法向應(yīng)變��； 參考：《沈陽航空航天大學(xué)》2017年碩士論文

【摘要】：Reddy型高階剪切變形理論被廣泛應(yīng)用于工程實(shí)踐中,然而由于此理論忽略了橫法向應(yīng)變,難以準(zhǔn)確分析功能梯度板的濕熱行為。本文提出了考慮橫法向濕熱應(yīng)變的Reddy型功能梯度板理論,用于分析功能梯度板的濕熱力行為。雖然此模型考慮了橫法向濕熱應(yīng)變,但并未增加額外的位移變量�；诒疚乃崮Ｐ�,通過最小勢能原理推導(dǎo)出濕熱力載荷共同作用下功能梯度板的平衡方程及邊界條件,根據(jù)Navier理論給出了在四邊簡支邊界條件下功能梯度板的解析解。將基于本文方法計算的應(yīng)力及位移分別與文獻(xiàn)中的理論結(jié)果進(jìn)行對比,數(shù)值結(jié)果表明正弦剪切變形理論(SPT)、指數(shù)剪切變形理論(ESPT)、高階剪切變形理論(HSDT-98)、五階剪切變形理論(FiSDT)由于忽略了橫法向濕熱應(yīng)變,計算的應(yīng)力和位移精度較低,而基于本文所提模型計算的數(shù)值結(jié)果與精確解吻合良好,通過分析功能梯度板的濕熱行為,評估了該模型的準(zhǔn)確性和有效性。同時研究了溫度、水分濃度、橫法向應(yīng)變、體積分率和跨厚比對于功能梯度板的位移與應(yīng)力的影響。
[Abstract]:Reddy high order shear deformation theory is widely used in engineering practice. However, it is difficult to accurately analyze the hygrothermal behavior of functionally gradient plates because of its neglect of transverse normal strain. In this paper, the theory of Reddy type functional gradient plate considering the transverse normal hygrothermal strain is proposed to analyze the hygrothermal force behavior of the functionally graded plate. Although the transverse normal hygrothermal strain is considered in this model, no additional displacement variables are added. Based on the model proposed in this paper, the equilibrium equation and boundary conditions of functionally gradient plate under the action of hydro-thermal load are derived by the principle of minimum potential energy. According to Navier's theory, the analytical solution of functionally gradient plate under the condition of simply supported boundary on four sides is given. The stresses and displacements calculated based on the present method are compared with the theoretical results in the literature. The numerical results show that the sinusoidal shear deformation theory is SPT, the exponential shear deformation theory is ESPT, the high order shear deformation theory is HSDT-98, the fifth order shear deformation theory is FiSDT) and the calculation accuracy of stress and displacement is low because of neglecting the transverse normal hygrothermal strain. The accuracy and validity of the model are evaluated by analyzing the hygrothermal behavior of the functionally gradient plate. The effects of temperature, water concentration, transverse normal strain, volume fraction and span thickness ratio on the displacement and stress of the functionally gradient plate were studied.
【學(xué)位授予單位】：沈陽航空航天大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TB34

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 夏巍;趙東偉;馮宇鵬;;基于Mindlin橫剪變形理論的功能梯度板熱屈曲分析[J];應(yīng)用力學(xué)學(xué)報;2016年01期

2 劉述倫;薛江紅;王t，

本文編號：1991447