Surface and thermal effects on vibration of embedded alumina nanobeams based on novel Timoshenko beam model

This paper deals with the free vibration analysis of circular alumina （Al2O3） nanobeams in the presence of surface and thermal effects resting on a Pasternak foun- dation. The system of motion equations is derived using Hamilton＇s principle under the assumptions of the classical Timoshenko beam theory. The effects of the transverse shear deformation and rotary inertia are also considered within the framework of the mentioned theory. The separation of variables approach is employed to discretize the governing equa- tions which are then solved by an analytical method to obtain the natural frequencies of the alumina nanobeams. The results show that the surface effects lead to an increase in the natural frequency of nanobeams as compared with the classical Timoshenko beam model. In addition, for nanobeams with large diameters, the surface effects may increase the natural frequencies by increasing the thermal effects. Moreover, with regard to the Pasternak elastic foundation, the natural frequencies are increased slightly. The results of the present model are compared with the literature, showing that the present model can capture correctly the surface effects in thermal vibration of nanobeams.     

内撑式深基坑支护结构分析与方案选择

基坑内撑式支护具有经济、快捷和效率高等特点. 通过郑州市某雨水管道工程基坑支护的实践,介绍了内撑式支护结构在深基坑支护中的受力特点,结构分析与方案选择,为内撑式支护设计和施工提供了参考.     

A PRECISE INTEGRATION APPROACH FOR THE DYNAMIC-STIFFNESS MATRIX OF STRIP FOOTINGS ON A LAYERED MEDIUM 1）

提出应用精细积分算法计算多层地基的动力刚度问题.精细积分是计算层状介质中波传播的高效而精确的数值方法.利用傅里叶积分变换将层状地基的波动方程转换为频率-波数域内的两点边值问题的常微分方程组,运用精细积分方法求解格林函数,最后再将得到的频率-波数域内地基表面的动力刚度矩阵转换到频率-空间域内,进而得到刚性条带基础频率域的动力柔度或刚度矩阵.所建议的精细积分算法,可以避免一般传递矩阵计算中的指数溢出问题,对各种情况有广泛的适应性,计算稳定,在高频段可以保障收敛性,并能达到较高的计算精度.     

基础动力分析的一种半解析、半数值方法

提出了一种基础动力分析的半解析、半数值计算方法．采用Lamb解及其相应的近似公式,建立了基础动反力和位移的关系式．从而可象静力问题那样将基础板分离出来,将板看作上部作用已知载荷,下部作用用挠度表示的地基反力,因此只需要对板进行有限元分析．采用这种方法分析了不同形状、 不同刚度、不同频率下的地基板的振动问题, 而且可以考虑基础埋深的影响．算例分析表明,提出的方法是一种计算简便、精度较高、适用范围广泛的有效数值方法．     

High temperature creep behaviour of an FeAl intermetallic strengthened by nanoscale oxide particles

The creep behaviour of an FeAl intermetallic strengthened by nanosized oxide particles has been examined at temperatures of 700–825 °C. For all temperatures the strain rate shows a power law dependence on the applied stress. At the lowest temperature and with the highest stresses there is evidence of a threshold stress produced by the difficulty of overcoming the particle barriers, while for higher temperatures as well as at low stresses there is no threshold stress and creep appears to be controlled by general climb. The fine oxide particles produce good strengthening at low temperatures but are more readily overcome at high temperatures due to their very small size and limited attractive relaxation force. Despite such fall in creep strength, this material remains one of the strongest iron aluminides to the temperature range evaluated.     

On simplified solutions of contact problems for elastic foundations

In the paper, a method of averaging displacements in a circular area lying in a linearly elastic transversally isotropic foundation is developed for the four modes of motion: vertical, horizontal, rocking and torsional. The corresponding formulae are constructed in a general form which does not depend on the kind of Green functions. For vertical and horizontal modes, uniform load distribution are applied and the simple integral mean is considered, whereas for rotational modes the load proportional to the distance from an axis of rotation is used, and angles of rotation for individual points are averaged with weight of the distance squared. Along with the case of equal radii of circles of loading and averaging, the case of different radii is studied, which allows one to consider contact problems for embedded axisymmetric foundations having the radius varying with depth. As examples the following contact problems are studied: static stiffness for a cone embedded in a homogeneous isotropic half-space in vertical motion, and dynamic stiffness for a disk on a layer resting on a homogeneous half-space for four modes of motion. Comparisons with the corresponding exact solutions are carried out.     

自然单元法在Winkler地基薄板计算中的应用

自然单元法是一种基于Voronoi图及Delaunay三角形剖分图,以自然邻接点插值为试函数的一种无网格数值方法.本文以目前该方法中自然邻接点的Laplace插值形函数为基础,求出了其一阶及二阶导函数,建立了Winkler地基上薄板弯曲挠度的自然单元法求解控制方程,并编制了相应的计算程序,通过算例分析表明了本文方法的可行性和有效性.     

Numerical simulation of the dynamics of a reinforced shell subject to nonstationary load

A numerical algorithm to determine the stress-strain state of a reinforced cylindrical shell subject to impulsive loading is elaborated. Results from a numerical analysis of the dynamic behavior of a reinforced elastoplastic shell under explosive loading are presented __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 7, pp. 83–90, July 2008.     

单桩竖向动力阻抗计算模型研究

运用土动力学和结构动力学原理,同时考虑桩周土的弱化效应和桩-土界面的相对滑移效应,利用数理方程方法分别求解单桩与桩周近场土域及远场土域的振动方程,建立了竖向荷载作用下单桩动力阻抗函数的简化计算方法,提出了一种改进的非线性动力Winkler模型,确定了模型中各物理元件的参数,进而通过对比分析验证了计算模型的合理性,从而为桩-土-上部结构耦合系统的非线性分析奠定了基础。     

近断层地震作用下钢筋混凝土连续梁桥地震易损性分析

考虑桥墩、支座构件及主梁的碰撞损伤指标,对钢筋混凝土连续梁桥进行了地震易损性分析.综合考虑了结构参数的不确定性,从太平洋地震工程研究(Pacific earthquake engineering research,PEER)数据库中随机选取了20条近场地震记录,得到大量的随机地震-结构样本.结合不同破坏状态下的桥梁损伤指标,根据结构的能力与需求得到了桥梁各构件及整体桥梁结构的地震易损性曲线.从概率意义上判断在强烈地震作用下桥梁结构所处的破坏状态,为今后在役的同类型桥梁震害预测提供了参考.