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Pappus and Guldinus's theorems are powerful mathematical principles that are used for finding the surface area and volume of composite shapes. For example, consider a cylindrical storage tank with a conical top. Finding the surface area or volume can be challenging for such complex shapes. These theorems are particularly useful in calculating the volume and surface area of such systems. Here, the cylindrical storage tank with a conical top can be broken down into two simple shapes: a...
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A parabola is a basic type of conic section that results from the intersection of a plane with a double-napped cone in a direction parallel to one of the cone's sides. This U-shaped curve has a distinctive reflective property: all incoming rays parallel to its axis of symmetry are directed toward a single point, known as the focus. This property is widely utilized in optical and communication technologies that require precise signal concentration.In analytic geometry, a parabola is defined as...
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A hyperbola consists of all points where the absolute difference of distances to two fixed points, called foci, remains constant. The standard equation isEach branch extends infinitely and approaches two asymptotes, which guide the curve’s behavior. The parameters a and b define key features: a measures the distance from the center to each vertex along the transverse axis, while b influences the slopes of the asymptotes. The asymptotes have equationsA rectangle centered at the origin with...
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The Frost circle or the inscribed polygon method is a graphical method for determining the relative energies of π molecular orbitals (MOs) for planar, fully conjugated, and monocyclic compounds. This method was first described by A. A. Frost and Boris Musulin in 1953.
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The centroid of a body is a crucial concept in engineering and physics. Finding the centroid of a body can help determine its stability, its balance point, and even its design. In this context, consider a thin wire bent in the form of a quarter circular arc. Polar coordinates are used to calculate the centroid. The wire is first divided into small differential elements of a length equal to the radius multiplied by the differential angle.
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基于改进的共同平面概念的多面体的接触检测算法.

Mingqing Liu1,2

  • 1College of Architecture and Energy Engineering, Wenzhou University of Technology, Wenzhou, 325035, China. 846765019@qq.com.

Scientific reports
|November 14, 2025
PubMed
概括
此摘要是机器生成的。

这项研究引入了一种改进的共同平面算法,用于在复杂场景中准确检测接触. 改进的方法提高了粒子包装模拟的计算效率和精度.

关键词:
共同平面的概念概念.接触检测 接触检测 接触检测这就是为什么DEMEM.多面体是多面体的

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科学领域:

  • 计算力学是计算力学.
  • 材料科学 是一种材料科学.

背景情况:

  • 传统的共同平面方法在接触点计算中表现出不准确性和复杂接触场景的低效率.
  • 准确的接触检测对于可靠的模拟在诸如颗粒状物质流和离散元素建模等领域至关重要.

研究的目的:

  • 开发一个改进的接触检测算法,以提高精度和计算效率,而不是传统的普通平面方法.
  • 在复杂的接触场景中验证算法的性能,包括边缘-边缘和边缘面接触.
  • 评估该算法的可靠性和适用性在离散元件方法 (DEM) 模拟粒子包装中.

主要方法:

  • 开发了一种改进的共同平面算法,它结合了块元素和共同平面之间的距离函数.
  • 实现了优化接触点更新策略和双条件控制的代终止机制.
  • 该算法使用CAD模型进行了验证,并应用于多面体随机包装的DEM模拟.

主要成果:

  • 改进的算法实现了接触点的坐标误差小于5%,正常角度偏差低于0.5°,接触深度误差在CAD模型的1%以内.
  • 与传统方法相比,DEM模拟显示了超过10%的计算效率增加.
  • 最大接触深度误差减少了47.4%,实验和模拟颗粒包装之间的一致性很高.

结论:

  • 拟议的算法显著提高了复杂接触检测的计算精度和效率.
  • 经过验证的算法证明了对粒子包装模拟和其他相关应用的可靠性和工程适用性.
  • 这一进步有助于在颗粒力学和计算物理学的更准确和更有效的建模.