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目前,桥梁结构正在向大跨、轻型发展。为对其刚度做出充分估计,动力分析必不可少。近年来,电子计算机的出现推动了高次超静定和组合结构的使用。象斜拉桥和斜腿刚构桥就是典型。这些结构往往又具有一定的非线性特征,因此,对非线性的研究愈加紧迫。 非线性有两种类型,因结构材料的弹性或粘弹性为非线性时,称材料非线性;当挠度大得足以使结构的几何发生显著改变,以致平衡方程必须按变形后的位形建立时,称之为几何非线性。显然,对一般工程结构而言,后者是最常见的。
At present, the bridge structure is moving towards large-span and light-weight development. In order to fully estimate its stiffness, dynamic analysis is essential. In recent years, the advent of electronic computers has promoted the use of high-order statics and composite structures. Cable-stayed bridge and oblique leg rigid frame bridge is typical. These structures tend to have certain non-linear features, so the research on nonlinear becomes more and more urgent. There are two types of non-linearity, which are called non-linear when the elastic or viscoelasticity of the structural material is non-linear. When the deflection is large enough to make a significant change in the geometry of the structure, so that the equilibrium equation must be established according to the deformed shape , Call it geometric nonlinearity. Obviously, the latter is the most common for general engineering structures.