利用微分方法推导静不定桁架变形协调方程

本文提出利用微分的方法，求出较普遍情况下的变形协调方程．     

脆性固体变形响应与裂纹扩展的同步试验观测及其定量分析

通过对砂浆试样的材料变形响应和表面裂纹图象的同步观测实验研究、试样表面细观裂纹萌生和裂纹扩展图象信息的采集和量化方法的研究，探讨脆性固体材料的损伤状态与其宏观力学响应之间的关联。用本文提出的实验及其分析处理方法，可以得到砂浆、混凝土、岩石一类脆性固体材料在承载和变形过程中，表面裂纹扩展的定量结果。试样的表面裂损度代表了砂浆试样在承载和变形过程中表面裂纹扩展的情况，也在一定程度上反映了试样内部的损伤情况。     

胶粘光学元件的热应力和变形分析

由于光学元件和装配材料热膨胀系数的不匹配,在环境温度变化时会导致光学元件中产生热应力,并引起光学元件表面产生变形,影响光学系统的性能.针对光学元件的粘接固定方式讨论了连续边缘粘接引起的热应力和变形的分析方程,得出连续边缘粘接无热厚度的解析方程.采用有限元分析软件对胶粘固定光学元件进行了建模和热应力分析,得出光学元件边界...     

Microstructure evolution of laser solid forming of Ti-Al-V ternary system alloys from blended elemental powders

Morphology evolution of prior β grains of laser solid forming (LSF) Ti-xAl-yV (x 11,y 20) alloys from blended elemental powders is investigated. The formation mechanism of grain morphology is revealed by incorporating columnar to equiaxed transition (CET) mechanism during solidification. The morphology of prior β grains of LSF Ti-6Al-yV changes from columnar to equiaxed grains with increasing element V content from 4 to 20 wt.-%. This agrees well with CET theoretical prediction. Likewise, the grain morphology of LSF Ti-xAl-2V from blended elemental powders changes from large columnar to small equiaxed with increasing Al content from 2 to 11 wt.-%. The macro-morphologies of LSF Ti-8Al-2V and Ti-11Al-2V from blended elemental powders do not agree with CET predictions. This is caused by the increased disturbance effects of mixing enthalpy with increasing Al content, generated in the alloying process of Ti, Al, and V in the molten pool.     

自重变形对超高精度Fizeau干涉仪的光学性能影响

为实现λ/100峰谷值(PV)的光刻投影物镜面形检测精度要求,深入分析了自重变形对大口径超高精度Fizeau干涉仪的光学性能产生的影响.设计的球面标准具结构,其系统波像差达到λ/1000(PV)、像方数值孔径(NA)值为0.36,用于口径超过300 mm的球面镜面形检测.使用Patran/Nastran软件通过有限元方...     

VOF法模拟剪切流动下液滴的变形和断裂运动

本文对剪切作用下悬浮液滴在另一种不相融的液体中的变形和断裂过程进行了数值模拟.采用VOF(Volume ofFluid)法中的三维PLIC(Piecewise Linear Interface Calculation)算法实现界面的重构和输运,交错网格下投影法离散表面张力为源项的不可压缩Navier-Stokes方程....     

1.8m望远镜变形次镜波前拟合能力分析

波前拟合能力分析是变形次镜研制工作的重要组成部分,是基于变形次镜的新型自适应光学系统研制的重要基础.以拟合误差为评价标准,采用有限元计算所得驱动器影响函数对1.8 m望远镜变形次镜四个备选方案进行了泽尼克(Zernike)多项式、Kolmogorov湍流大气畸变相位屏拟合能力分析.结果表明73单元变形次镜波前拟合能力较...     

BOUNDED TRAVELING WAVE SOLUTIONS OF VARIANT BOUSSINESQ EQUATION WITH A DISSIPATION TERM AND DISSIPATION EFFECT

This article studies bounded traveling wave solutions of variant Boussinesq equation with a dissipation term and dissipation effect on them. Firstly, we make qualitative analysis to the bounded traveling wave solutions for the above equation by the theory and method of planar dynamical systems, and obtain their existent conditions, number, and general shape. Secondly, we investigate the dissipation effect on the shape evolution of bounded traveling wave solutions. We find out a critical value r*which can characterize the scale of dissipation effect, and prove that the bounded traveling wave solutions appear as kink profile waves if |r| ≥ r*; while they appear as damped oscillatory waves if |r| r*. We also obtain kink profile solitary wave solutions with and without dissipation effect. On the basis of the above discussion, we sensibly design the structure of the approximate damped oscillatory solutions according to the orbits evolution relation corresponding to the component u(ξ) in the global phase portraits, and then obtain the approximate solutions(u(ξ), H(ξ)). Furthermore,by using homogenization principle, we give their error estimates by establishing the integral equation which reflects the relation between exact and approximate solutions. Finally, we discuss the dissipation effect on the amplitude, frequency, and energy decay of the bounded traveling wave solutions.     

三角恒等变换

1．本单元知识点 本单元主要包括利用已有的十一个公式进行简单的恒等变换,以及三角恒等变换在数学中的应用．本单元内容都是用例题来展现的,通过例题的解答,引导学生对变换对象和变换目标进行对比、分析,促使学生形成对解题过程中女盯何选择公式,如何根据问题的条件进行公式变形,以及变换过程中体现的换元思想、逆向使用公式等数学思想方法的认识,从而加深理解变换思想,     

配方法在解题中的应用

<正>把一个二次三项式通过恒等变形化为一个完全平方式的过程,叫作配方法,它是中学数学中的重要方法,应用十分广泛,必须认真掌握,并注意以下四点:一、注意配方的三种情况(1)由一、二项配第三项,注意配法;(2)由一、三项配第二项,注意配法;(3)由第二项配一、三项,注意恒等关系.二、注意对二次根式的配方三、注意配方过程中技巧性变形,如拆项、凑项等四、注意它在各方面的应用现举例说明.1.因式分解