分类： 力学 >> 应用力学 提交时间： 2020-08-25
摘要： 本文利用非线性有限元分析程序 ABAQUS 研究了柱壳曲屈问题，并应用到了可乐易拉罐的曲屈分析。首先从数值模拟上验证了Virot 等学者的可乐易拉罐曲屈实验结果，然后为了获得曲屈的一些普适结果，进一步考察了柱壳的曲屈表现。对柱壳结构在不同荷载组合、不同几何参数作用下进行了细致的分析。为了讨论的直观，本文绘制了柱壳结构在受到侧压-轴压荷载作用下外力-曲屈荷载-位移三维地貌图(称为landscape)。结果表明：在侧压-轴压-扭转荷载作用下试件力-位移曲线出现了“cliff”(断崖)现象；扭转荷载的施加不利于试件整体稳定性，并造成了试件对初始缺陷的敏感性；对于受到轴压-扭转试件，本文定义承载力为零的平面为“sea level” （海平面) 来区分试件破坏模式；通过对不同边界条件的试件进行分析，发现试件两端固接可以有效地整加结构的承载能力，提高稳定性。对柱壳结构内部充气可以大幅度提升结构的承载能力和稳定性，减小对初始缺陷的敏感度。
分类： 物理学 >> 普通物理:统计和量子力学,量子信息等 提交时间： 2020-08-25
摘要： Based on the concepts of infinitesimal and super real time-space composed of monads, the equations describing the particle flow are proposed. After the initial conditions are given, the state of the particle system at any time can be obtained by solving these equations. The physical properties of the granular matter, such as the moving velocity, the rotation angle, the angular velocity of rotation, the temperature, the pressure, the density, the mass, etc. at any time and space position are obtained. It is also to obtain that the translational motion is not dependent on rotation motion ofthe particles and can be separately analyzed. For a stationary particle system, theconditions that must be met by the force and force moment on the particles in thesystem are given. On this basis, the properties of the granular matter at rest can befurther explored for.
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