Second order approximation solution of nonlinear large deflection problems of Yongjiang Railway Bridge in Ningbo

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旋转壳在子午面内整体弯曲的几何非线性摄动有限元法及在波纹管计算中的应用(Ⅱ)

利用(Ⅰ)提出的旋转壳在子午面内整体弯曲的几何非线性摄动有限元法分析了波纹管在纯弯矩、横向力作用下的刚度和应力分布。首先,将其中的一阶摄动解(线性解)和作者曾经提出的中细环壳一般解、初参数积分解进行了比较,以及与他人的实验、有限元分析进行了比较,表明本法具有良好的精度和可靠性,且如(Ⅰ)所指出的那样,波纹管子午线曲率的突变不妨碍一般直线单元的应用。然后,讨论了波纹管的非线性特征,结果显示,波纹管的非线性效应主要来自其环板,而且环板愈宽非线性效应愈大,例如,C型波纹管相当于环板宽度为零的U型波纹管,因而其非线性效应几乎可以忽略不计。此外,在纯弯矩作用下,依线性解波纹管各个波的应力分布是相同的,而依非线解各个波的应力分布是不相同的,但对于常见的波纹管,在工程精度内线性解是有效的。     

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等截面直梁受纯弯曲作用,其挠曲线精确解为圆弧线,然而用图乘法和重积分法求得的却都 是抛物线. 分析了用图乘法和重积分法求解纯弯曲梁的挠曲线均是抛物线而不是圆弧线的原 因,给出了用抛物线代替圆弧线的误差.     

环空钻柱三维二重非线性动力学问题的研究

通过对大挠度钻柱受力变形特点及其环空旋转状态下与井壁接触机理的分析，根据动力学原理，建立和进一步完善钻柱与井壁动态摩擦接触模型．根据有限元理论，提出了Ｗｉｌｓｏｎ－θ法与Ｎｅｗｔｏｎ－Ｒａｐｈｓｏｎ法相结合的模式，解决钻柱二重非线性动力学问题．计算分析结果说明，文中理论模型是可行的，不仅更完善，而且更简便；动态非线性效应分析得到了与静态分析相似的结论；钻柱与井壁各种接触形式或并存或交替都有可能；转速较高时动态影响不容忽视．     

正交异性扁壳的等价关系式和不变量

提出各向同性扁壳比拟法,分析满足条件D_3=D_(12)=(D_1D_2)~(1/2)的正交异性扁壳大挠度弯曲和超屈曲问题,导出了正交异性扁壳与各向同性扁壳之间,两种不同正交异性扁壳之间坐标变量、扁壳厚度和曲率半径、荷载、挠度、转角、弯矩、扭矩、中面应力的等价关系式,还证明了等价正交异性扁壳的几个等价不变量。     

A new technique for large deflection analysis of non-prismatic cantilever beams

This paper studies the very large deflection behavior of prismatic and non-prismatic cantilever beams subjected to various types of loadings. The formulation is based on representing the angle of rotation of the beam by a polynomial on the position variable along the deflected beam axis. The coefficients of the polynomial are obtained by minimizing the integral of the residual error of the governing differential equation and by applying the beam’s boundary conditions. Several numerical examples are presented covering prismatic and non-prismatic cantilever beams subjected to uniform, non-uniform distributed loads and tip concentrated loadings in vertical and horizontal directions. The loads considered in this study are restricted to the non-follower type loads. Cases with different loadings and geometries are compared with MSC/NASTRAN computer package. However, for some very large deflection case, the MSC/NASTRAN failed to predict the deflected shape due to divergence problems.     

Timoshenko梁理论应用于结构损伤的动力分析

应用Hamilton原理，导出了Timoshenko梁的动力学偏微分方程组。将土和结构视为一个系统，接近实际状况的简化为一个几何非线性的Timoshenko梁，并与Bernoulli—Euler的初等假设理论进行比较，讨论了长细比对粱的动力学特性的影响，在此基础上研究房屋结构损伤诊断的问题。     

刚塑性矩形板在冲击载荷作用下的一个新的界限

通过加权残数法，给出了考虑有限变形时刚塑性板在冲击载荷下的能量守恒方程。广义屈服条件由Mij和Nij表示，通过将非光滑屈服函数用其内切和外接光滑函数代替，从而得到板位移的上、下界限解。采用此方法对一矩形板受横向冲击载荷进行了分析，计算结果与有关文献符合较好。     

Physically and Geometrically Nonlinear Static Problems for Thin-Walled Multiply Connected Shells

Physically and geometrically nonlinear two-dimensional problems are formulated for multiply connected thin shells (weakened by several curvilinear holes). A technique and algorithm are proposed for their solution with allowance for elastoplastic strains and finite deflections of shells under static loading. Numerical results for a shell with two circular holes are presented and the stress concentration is analyzed     

头部与大挠度弹性板的撞击响应特性分析

在行人与汽车碰撞的研究中，头部-汽车发动机罩撞击损伤是重要的内容．把此问题简化为柔性球体与大挠度弹性板的大变形撞击响应问题，采用有限元方法分析了头部与汽车发动机罩撞击的动态响应特性，得出了相关因素对撞击响应的影响特点，并提出了具有行人保护作用的发动机罩的设计原则．为非线性动态响应力学问题的研究提供参考．