【摘要】：組合梁作為一種性能優(yōu)越的結(jié)構(gòu)構(gòu)件形式,可以更好地發(fā)揮組合梁各材料的力學(xué)性能,在土木工程、機(jī)械工程等領(lǐng)域中具有廣泛的應(yīng)用。工程界對(duì)組合梁結(jié)構(gòu)的大量需求引發(fā)了對(duì)更可靠、精確組合梁力學(xué)分析模型、分析方法和數(shù)值模擬程序的需求。為此,本文建立了若干高階組合梁動(dòng)靜力彎曲模型,并主要利用有限元法就組合梁的動(dòng)/靜力響應(yīng)和穩(wěn)定性問(wèn)題展開(kāi)了研究。本文建立了滿(mǎn)足界面剪力連續(xù)性條件的Reddy高階組合梁靜力和穩(wěn)定性分析的力學(xué)模型,基于Laplace變換方法得到了其線彈性靜力響應(yīng)的解析解以及給出了靜力響應(yīng)分析與穩(wěn)定性臨界荷載的有限元解�？紤]組合梁的材料非線性,給出了相應(yīng)的非線性有限元方程,并利用位移增量法對(duì)其進(jìn)行了靜力響應(yīng)分析,重點(diǎn)分析了剪切效應(yīng)對(duì)組合梁靜力響應(yīng)和穩(wěn)定性的影響�？紤]混凝土的收縮和徐變特性,以Timoshenko梁和Kant梁運(yùn)動(dòng)學(xué)假定分別描述組合梁的鋼筋混泥土梁和鋼托梁的運(yùn)動(dòng),建立了鋼-混凝土組合梁長(zhǎng)期荷載行為分析的有限元方程,并編制了相應(yīng)的計(jì)算機(jī)模擬程序,通過(guò)與3D厚殼有限元模型結(jié)果的對(duì)比,驗(yàn)證了本文提出模型的準(zhǔn)確性和優(yōu)越性�；贙ant高階梁理論和約束型能量原理,建立了高階組合梁靜力分析的混合有限單元與位移有限單元,編制了相應(yīng)的有限元分析程序。同時(shí),討論了位移法與混合法有限單元的優(yōu)劣勢(shì),研究了組合梁界面不可壓縮性和界面摩擦等對(duì)組合梁彎曲行為的影響。以Kant高階梁模型刻畫(huà)組合梁的各層子梁,建立了組合梁動(dòng)力彎曲的有限元方程,編制了有限元程序,分別研究了組合梁的動(dòng)力特性和瞬態(tài)響應(yīng)。通過(guò)組合梁動(dòng)力特性的Kant高階組合梁模型結(jié)果與經(jīng)典組合梁模型結(jié)果的對(duì)比分析,表明了Kant組合梁模型的準(zhǔn)確性,并研究了地震加速度激勵(lì)和移動(dòng)荷載作用下Kant高階組合梁的瞬態(tài)動(dòng)力響應(yīng),揭示了組合梁的若干動(dòng)力學(xué)現(xiàn)象。
[Abstract]:Composite beam, as a kind of structural member with superior performance, can give full play to the mechanical properties of composite beam materials, and has been widely used in civil engineering, mechanical engineering and other fields. The large demand for composite beam structures in the engineering field has led to the need for more reliable and accurate composite beam mechanics analysis models, analysis methods and numerical simulation programs. In this paper, some dynamic and static bending models of high order composite beams are established, and the dynamic / static response and stability of composite beams are studied by means of finite element method. In this paper, a mechanical model for static and stability analysis of Reddy high order composite beams satisfying interface shear continuity condition is established. Based on the Laplace transformation method, the analytical solution of the linear elastic static response is obtained, and the finite element solution of the static response analysis and the stability critical load is given. Considering the material nonlinearity of composite beam, the corresponding nonlinear finite element equation is given, and the static response of composite beam is analyzed by displacement increment method. The influence of shear effect on static response and stability of composite beam is analyzed emphatically. Considering the shrinkage and creep characteristics of concrete, the kinematic assumptions of Timoshenko beam and Kant beam are used to describe the movement of reinforced concrete beam and steel bracket beam respectively, and the finite element equation of long-term load behavior analysis of steel-concrete composite beam is established. The computer simulation program is compiled and compared with the results of 3D thick shell finite element model, the accuracy and superiority of the proposed model are verified. Based on Kant high order beam theory and constrained energy principle, the mixed finite element and displacement finite element for static analysis of high order composite beam are established, and the corresponding finite element analysis program is developed. At the same time, the advantages and disadvantages of the displacement method and the hybrid finite element method are discussed, and the effects of the interface incompressibility and the interface friction on the bending behavior of the composite beam are studied. The finite element equations of dynamic bending of composite beams are established by using the Kant higher-order beam model to describe the sub-beams of composite beams. The finite element program is compiled and the dynamic characteristics and transient responses of composite beams are studied respectively. By comparing the results of Kant high-order composite beam model with that of classical composite beam model, the accuracy of Kant composite beam model is proved. The transient dynamic responses of Kant high order composite beams under earthquake acceleration excitation and moving load are studied, and some dynamic phenomena of composite beams are revealed.
【學(xué)位授予單位】：上海大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2015
【分類(lèi)號(hào)】：TU323.3
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本文編號(hào)：2148013