对一个运动斜面上摩擦力问题解法的探讨

应用牛顿运动定律对一个有关斜面体小车上的物体在摩擦力作用下随小车一起做简谐运动问题的错误解法进行辨析,并给出正确的解答方法.     

NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATES UNDER CIRCUMJACENT LOAD

Based on von Karman plate theory, the issue about nonlinear vibration for circular sandwich plates under circumjacent load with the loosely clamped boundary condition was researched. Nonlinear differential eigenvalue equations and boundary conditions of the problem were formulated by variational method and then their exact static solution can be got. The solution was derived by modified iteration method, so the analytic relations between amplitude and nonlinear oscillating frequency for circular sandwich plates were obtained. When circumjacent load makes the lowest natural frequency zero, critical load is obtained.     

三峡工程坝址花岗岩体缓倾角结构面成因综合研究

本文对长江三峡工程坝址花岗岩体中缓倾角结构面成因进行了全面的综合研究。从野外地质调查人手,在大量野外勘测的基础上进行宏观分析,同时辅之以扫描电镜、透射电镜、包体温度测定等方法进行微观构造组构、差异应力等的研究。在地质力学宏观分析的基础上,利用地质力学物理模拟进行相似条件下的反演,并利用非线性有限元数值模拟进行验证。同类研究在国内外均未见先例,可为同类工程研究借鉴。     

Application of scaled boundary finite element method in static and dynamic fracture problems

The scaled boundary finite element method (SBFEM) is a recently developed numerical method combining advantages of both finite element methods (FEM) and boundary element methods (BEM) and with its own special features as well. One of the most prominent advantages is its capability of calculating stress intensity factors (SIFs) directly from the stress solutions whose singularities at crack tips are analytically represented. This advantage is taken in this study to model static and dynamic fracture problems. For static problems, a remeshing algorithm as simple as used in the BEM is developed while retaining the generality and flexibility of the FEM. Fully-automatic modelling of the mixed-mode crack propagation is then realised by combining the remeshing algorithm with a propagation criterion. For dynamic fracture problems, a newly developed series-increasing solution to the SBFEM governing equations in the frequency domain is applied to calculate dynamic SIFs. Three plane problems are modelled. The numerical results show that the SBFEM can accurately predict static and dynamic SIFs, cracking paths and load-displacement curves, using only a fraction of degrees of freedom generally needed by the traditional finite element methods.The project supported by the National Natural Science Foundation of China (50579081) and the Australian Research Council (DP0452681)The English text was polished by Keren Wang.     

用直接法计算压杆大挠度及临界荷载的实测

本文根据文献[1]提供的一端固定一端自由压杆的弹性线方程,采用分段法导出一端固定一端铰支压杆的大挠度方程的解法.与文[1]不同的是本文可用直接解法.计算机计算结果与文[1]采用逆解法所求的相同.文中导出五种边界条件下实测临界荷载的统一公式.     

青藏铁路不同路基工程结构对路基裂缝的影响研究

针对青藏铁路某试验段加筋路堤和站场路基等不同路基工程 ,本文介绍了冻土路基的温度和变形的试验结果 ,分析了加筋路堤和站场路基不同路基工程的地温变化和变形特征 ,并论述了加筋路堤和加宽路基等不同工程结构对路基裂缝的影响     

用加权残值法求压杆的临界载荷

用加权残值法求压杆的临界载荷刘悦藏（河北工学院材料力学教研室，天津３００１３２）加权残值法是一种求解微分方程的方法。它不是严格地求微分方程的解析解，而是直接从微分方程得出问题的近似解。与其它数值法相比，它没有完全抛弃已有的理论解。由于此法原理简单、方...     

弹性杆热膨胀屈曲特性分析

本文建立并求解了弹性杆非线性屈曲的基本方程，揭示了热屈曲问题的内力马变温之间的单调降关系和热屈曲挠度的非突发性，指出了线性解和非线性解的差异性，并对如何准确定义临界变温作出了建议。     

斜冲击界面动力学研究

讨论了界面受到斜冲击时的动力学问题。有效冲击摩擦系数被处理成冲击过程及初始冲击角的函数 ;界面的法向响应描述计及弹性接触、弹性变形极限以及依赖于应变、应变率及温度的完全塑性接触 ;界面在冲击过程中的构形变化也予考虑 ,并采用平均应变、应变率及最大温升的概念与估算。这种新的斜冲击界面动力学模型用于数值模拟刚性球对于延性靶的斜冲击实验 ,计算与实验比较 ,结果是令人满意的。     

应用优化技术计算船舶斜浪中的扭矩外力

 从实用角度出发，应用优化技术，确定船舶斜浪中的平衡浮 态，在传统方法基础上更接近实际状态. 提出了一种船舶斜置于波 浪上的外力计算方法，编制了计算机程序. 另外，特别针对大开口 船舶其剖面扭心在基线以下的特点，计及了左右舷不对称横向力对 扭矩的贡献.