双机头电脑刺绣机横梁的模态分析

以GY902A型电脑刺绣机的主横梁作为研究对象，分别运用实验测试和有限元模拟方法分析了电脑刺绣机横梁弯曲振动的固有频率，并利用经过验证的有限元模型，在计算机上作了结构改进仿真设计，实现了在不改变电脑刺绣机重量的前提下，电脑刺绣机横梁的固有频率提高22％，使电脑刺绣机更不易发生共振．     

梁的动力稳定性分析的有限元方法

提出了对梁进行动力学稳定性分析的有限元方法──给出了单元质量矩阵，抗弯刚度矩阵，几何刚度矩阵及相应的Ｍａｔｈｉｅｕ方程，通过坐标变换消除了方程的动力与静力耦合，然后说明了由这种具有参数激励耦合的多自由度系统的Ｍａｔｈｉｅｕ方程求得系统一般参数共振及组合参数共振的过渡曲线的约束参数方法与多尺度方法。最后作为算例求出了均匀简支梁受简谐轴向力作用时的过渡曲线。     

利用铝＋氮或钛＋氮离子束辅助沉积改善纯铁摩擦学性能的研究

离子束辅助沉积是近几年发展起来的一种将离子注入与薄膜沉积融为一体的材料表面改性新技术。利用Ａｌ＋Ｎ＋或Ｔｉ＋Ｎ＋离子束辅助沉积对工业纯铁进行了表面改性处理，并且就其摩擦学性能与未经表面改性处理之纯铁试样的作了对比试验研究，同时还利用俄歇电子能谱仪、掠角Ｘ射线衍射仪和扫描电子显微镜等分析测试手段对离子束改性层的成分深度分布和微观组织结构，以及磨痕的表面形貌和元素面分布进行了分析。结果表明，Ａｌ＋Ｎ＋或Ｔｉ＋Ｎ＋离子束辅助沉积可以在纯铁表面形成Ｆｅ４Ｎ、Ｆｅ３Ａｌ或Ｆｅ２Ｎ、Ｆｅ２Ｔｉ等强化相，因而使材料的表层显微硬度分别提高了２１．５％和５８．４％，稳态摩擦下的摩擦系数分别降低约８０％和８３％，平均磨损量分别降低约７１％和８６％；磨损形式主要由纯铁严重的粘着磨损转化为轻微的氧化磨损。     

一种不锈轴承钢离子束增强沉积表面的微观分析和摩擦学性能研究

利用离子束增强沉积技术，在将Ｔｉ用Ａｒ＾＋束溅沉积到淬火态９Ｃｒ１８Ｍｏ不锈轴承钢表面的同时，分别用Ａｒ＾＋，Ｎ＾＋和Ｃ＾＋轰击试样表面，制取了增强沉积的表面改性层     

大长细比弹体斜侵彻混凝土靶的动力学响应

基于刚塑性自由梁在横向冲击载荷下的动力学响应研究方法,结合空腔膨胀理论给出的弹体载荷分析,给出了弹体作为自由梁在塑性铰出现之前的响应行为,得到了梁内任一截面在横向载荷下剪力和弯矩分布规律以及轴向载荷下的轴力分布规律。计算结果表明,大长细比结构弹体的危险截面在承受较大轴向惯性压力载荷后,对由非正侵彻导致的横向载荷极为敏感。最后基于压弯联合作用载荷分析,给出了动能弹设计的抗弯极限壁厚要求。     

压电激励圆形曲梁的静态响应及位移控制

研究压电激励圆形曲梁的静态位移响应及位移控制的参数特性。将压电夹层圆形曲梁等效为单层结构,基于一维小曲率曲梁理论,建立其控制方程。在集中弯矩和径向集中力以及电载荷作用下,分析了带压电激励器的圆形悬臂曲梁的静态响应。与有限元结果比较表明:本文的理论模型能够模拟压电激励的小曲率圆形曲梁的静态响应。压电夹层圆形曲梁在任意位置的径向集中力载荷作用下,控制其自由端径向位移响应为零,求得控制电压的解析表达,数值分析表明:随着集中力载荷的位置变化和梁长的变化,最优控制电压将出现峰值和反号。     

空间曲线索的平衡方程及单索几何判定

空间曲线索平衡方程可在理想柔索假定的基础上进行推导,也可以由空间曲线梁平衡方程退化得到。本文给出后者的连续化分析过程并进行了初步的讨论,目的在于将空间曲线索的各种力学模型统一起来。采用理想柔索假定后单索只能是平面曲线,自然坐标系和整体直角坐标系下平面曲线索的平衡方程是等价的。同时,针对以往单索连续化分析中几何判定的不足,基于空间曲线的弧长独立参数概念,指出单根理想柔索本质上为静不定和动不定体系。     

Experimental and numerical investigation of concrete properties effects on fracture toughness under complex loading

Abstract

This article is presenting the common experimental specimen for determining the fracture toughness of the first pure mode and second pure mode. The Notched beam is chosen from a presented common specimen in the form of three-point flexure beam and four-point flexure beam that were built in the concrete laboratory. For prevention of cracks growth, a critical load of first pure mode and the second pure mode of each specimen computed. Obtained results are used for computing the fracture toughness. For the purpose of investigating the effective fracture parameters in the suggested specimen, finite element analysis on the mentioned geometry is performed. Obtained results show that different parameters are effective on the fracture toughness including crack length, cement percentage, water and the thickness of biggest used aggregate in the sand. Also with changing each of these parameters, the fracture mechanic properties are changed. Each of these effects is examined separately in this article and the conclusions presented in tables and figures.

Communicated by Dumitru Caruntu.     

Nonlinear response of a parametrically excited buckled beam

A nonlinear analysis of the response of a simply-supported buckled beam to a harmonic axial load is presented. The method of multiple scales is used to determine to second order the amplitude- and phase-modulation equations. Floquet theory is used to analyze the stability of periodic responses. The perturbation results are verified by integrating the governing equation using both digital and analog computers. For small excitation amplitudes, the analytical results are in good agreement with the numerical solutions. The large-amplitude responses are investigated by using a digital computer and are compared with those obtained via an analog-computer simulation. The complicated dynamic behaviors that were found include period-multiplying and period-demultiplying bifurcations, period-three and period-six motions, jump phenomena, and chaos. In some cases, multiple periodic attractors coexist, and a chaotic attractor coexists with a periodic attractor. Phase portraits, spectra of the responses, and a bifurcation set of the many solutions are presented.     

Resonant non-linear normal modes. Part II: activation/orthogonality conditions for shallow structural systems

The general conditions, obtained in Lacarbonara and Rega (Int. J. Non-linear Mech. (2002)), for orthogonality of the non-linear normal modes in the cases of two-to-one, three-to-one, and one-to-one internal resonances in undamped unforced one-dimensional systems with arbitrary linear, quadratic and cubic non-linearities are here investigated for a class of shallow symmetric structural systems. Non-linear orthogonality of the modes and activation of the associated interactions are clearly dual problems. It is known that an appropriate integer ratio between the frequencies of the modes of a spatially continuous system is a necessary but not sufficient condition for these modes to be non-linearly coupled. Actual activation/orthogonality of the modes requires the additional condition that the governing effective non-linear interaction coefficients in the normal forms be different/equal to zero. Herein, a detailed picture of activation/orthogonality of bimodal interactions in buckled beams, shallow arches, and suspended cables is presented.