- 摘 要
-
高榮譽
（安徽建筑工業(yè)學院建筑工程與材料系 合肥 230022）[提要] 從三維彈性力學的基本方程出發(fā)，拋棄任何有關應力和位移模式的人為假定，討論和分析了疊層地基板的彎曲問題。建立了該地基板的狀態(tài)方程，得出薄、中厚和強厚的疊層地基板在任意荷載作用下統(tǒng)一形式的解析解。此解滿足所有的彈性力學方程，可求出層間和板內任意點9個力學量以及地基反力，并給出了數(shù)值結果。
[關鍵詞] 強厚疊層地基板 Cayley-Hamilton定理 狀態(tài)方程 層間協(xié)調 解析解According to three-dimensional equations of elasticity, and without any assumptions about displacement or stress models, bending problems of laminated foundation plates are discussed and analyzed. State equation of the foundation plates is established. Analytic solutions of unified formula are presented for the thin,moderately thick and thick laminated foundation plates under any loads.Every equation of the elasticity can be satisfied. Nine mechanical quantities of an interface or arbitrary point, and foundation reaction can be obtained.Numerical results are given.
Keywords: thick foundation laminate; Cayley-Hemilton theorem; state equation; compatible interlaminate; analytic solution
