Thin-walled Beams: A Derivation of Vlassov Theory via Γ-Convergence

This paper deals with the asymptotic analysis of the three-dimensional problem for a linearly elastic cantilever having an open cross-section which is the union of rectangles with sides of order ε and ε ², as ε goes to zero. Under suitable assumptions on the given loads and for homogeneous and isotropic material, we show that the three-dimensional problem Γ-converges to the classical one-dimensional Vlassov model for thin-walled beams.      

薄壁件加工系统动态响应分析

薄壁件在铣削加工中容易产生共振或变形，直接影响加工稳定性及加工精度。采用主轴-刀具-工件整体铣削系统连续梁模型，系统研究在动态铣削力作用下，刀具端部与工件端部的动态响应之间的相互影响关系以及对整体系统动态响应影响较大的薄壁件尺寸。结果表明，工件横截面高度对系统共振的影响较为明显，当高度尺寸较小时，工件的低频共振会通过动态铣削力直接反映到刀具端部的振动频响上。工件横截面底边宽度尺寸的增大虽然对共振频率的改变不太明显，但会导致激发出来的刀具共振幅度出现明显降低。研究成果可以为薄壁件铣削加工系统的稳定性控制提供理论基础。     

圆形工件正次品检验及再加工模型

针对圆形工件合格性检验问题建立了两个优化模型,运用Matlab软件进行编程求解,确定了圆心的位置,据此判断出工件一为正品,工件二为次品.接下来为判断能否将次品经过再加工使其成为正品,建立了模型三,并指出了对工件二的简单再加工方法.     

Development of a laser-based measurement system for evaluation of the scraping workpiece quality

A laser-based measurement system for evaluation of the scraping workpiece quality that can eliminate contact-induced measurement errors and increase measurement accuracy is proposed. The laser-based measurement system comprises a light-scattering-type triangulation laser, a computer numerical control (CNC) machine tool, and an analog-to-digital (A/D) card. The triangulation laser measures the depth of the scraping spots and the CNC machine tool locates their position. The 3D data of the scraping workpiece is then drawn using the least squares method. Cast iron and Turcite workpieces can be measured. Five parameters of the scraping workpiece, namely peak points per square inch, percentage of points, distribution of heights of points or depth of surroundings, edge shape of the grooves, and flatness, can be evaluated. The scanning rate and sampling rate of the laser-based measurement system are 100 mm/s and 10 KHz, respectively. In the future, an appliance machine based on the proposed system will be designed for the on-line detection of scraping workpieces.     

阵列式压电振子超声复合喷丸强化*

为了进一步改善超声喷丸强化质量,提升工件表面残余应力和显微硬度的均匀性,对压电振子阵列型超声喷丸强化加工系统进行了改进,提出了在强化加工过程中辅助工件往复运动的方法。对改进后的压电振子阵列型超声喷丸强化加工原理进行了阐述,分析了激振片的振动特性并进行了结构尺寸优化,应用Abaqus对工件往复运动下超声喷丸强化过程进行了仿真研究,分析了在不同的工件往复运动频率下,工件表面残余应力分布情况。实验测试了在不同喷丸强化时间及工件往复运动频率下超声喷丸强化加工质量,探究了喷丸时间和工件往复运动频率对工件表面显微硬度的影响。结果表明：在压电振子阵列型超声喷丸强化过程中辅助工件往返运动,可以有效提高工件表面残余应力和显微硬度分布的均匀性,工件表面强化质量得到提升。     

变截面双帽箱型横截面点焊薄壁构件的扭转问题

提出沿构件长度方向截面尺寸发生缓慢变化时双帽箱型横截面点焊薄壁构件扭转特性的分析方法,并利用此方法讨论了变截面等焊点间隔构件和变截面非等焊点间隔构件的翘曲扭转问题并得到如下结论:①变截面构件长度越长,扭转刚度越小,其刚度下降率与等截面构件几乎相等;②采用变截面构件,不仅保持一定刚度,还可以减少焊点数目,降低焊接成本;③若右半部分的焊点间隔p2对左半部分的焊点间隔p1的变化范围小于25%,则其传递剪力变化不大。仿真结果与实验值以及利用cosmos/m而得到的数值解相比较吻合得较好,完全满足工程精度要求。此研究为解决实际车体结构的设计问题,具有有益的参考价值。     

考虑畸变影响的箱梁横向弯矩计算方法

为研究偏心垂向荷载作用下梯形截面单室箱梁的横向弯矩,对框架分析法计算箱梁横向弯矩的方程进行优化,并在刚性支承法的基础上提出一种更加简单的横向弯矩计算方法;与框架分析法不同,横向弯矩可采用能量变分法求解,建立以箱梁顶板剪力差为未知量的四阶控制微分方程,采用比拟的弹性地基梁解法解出剪力差,得出梯形截面单室箱梁横向弯矩的能量变分法解。对几种箱梁横向弯矩计算方法用两个算例进行验证,结果表明,能量变分法解将箱梁底板上的弯矩误差绝对值由15.41%降到了9.68%;本文方法得出的横向弯矩结果和有限元结果吻合较好,弯矩误差绝对值最大不超过6.01%;本文方法和能量变分法可有效降低箱梁底板上的弯矩误差,计算精度得到提高。     

Resonance Vibrations and Dissipative Heating of Thin-Walled Laminated Elements Made of Physically Nonlinear Materials

The dynamic thermomechanical problem for thin-walled laminated elements is formulated based on the geometrically linear theory and Kirchhoff–Love hypotheses. A simplified model of vibrations and dissipative heating of structurally inhomogeneous inelastic bodies under harmonic loading is used. The mechanical properties of materials are described using strain-dependent complex moduli. A nonstationary vibration-heating problem is solved. The dissipative function, derived from the stationary solution, is used to specify internal heat sources. The amplitude–frequency characteristics and spatial distributions of the main field variables are studied for a sandwich beam subjected to forced vibrations     

含诱导缺陷薄壁圆管耐撞性优化设计

运用移动最小二乘曲面拟合技术和遗传算法优化技术,建立一套完整的结构耐撞性优化设计技 术。设计了一个具有高效吸能能力的薄壁圆管结构含诱导缺陷薄壁圆管结构,给出了含缺陷薄壁圆管结 构耐撞性优化设计结果。结果显示,设计的薄壁圆管结构具有好的吸能效果,该结构设计简单,便于在结构设 计中使用。     

表面纳米化吸能薄壁多胞结构的数值模拟与设计

采用局部表面纳米化技术和数值模拟方法,对金属薄壁多胞结构的吸能问题开展有限元数值分析和优化设计.结果 显示,局部表面纳米化布局可诱导结构的屈曲变形,并能大幅度提高结构的能量吸收.优化结果还发现,在多胞外壁呈交错矩形格状表面纳米化格局和内附加结构呈均布框架式矩形格状表面纳米化布局情况下,结构屈曲变形稳定且吸能效果最优.该研究为吸能结构的设计提供了依据.