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相关概念视频

Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

162
When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
162
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

257
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
257
Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

273
One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
273
Indeterminate Structure01:18

Indeterminate Structure

515
Indeterminate structures refer to structures where internal forces and reactions cannot be determined using only the equations of static equilibrium.  Indeterminate structures have more unknown forces and reaction forces than equations of static equilibrium that can be used to determine them. Indeterminate structures are often used in engineering to create complex, efficient, and aesthetically pleasing structures. There are various types of indeterminate structures used in engineering and...
515
Circular Shaft - Stresses in Linear Range01:13

Circular Shaft - Stresses in Linear Range

235
Consider a scenario where a circular shaft is subject to torque that remains within the boundaries of Hooke's Law, avoiding any permanent deformation. So, the formula for shearing strain is revisited. This formula is multiplied by the modulus of rigidity, and then Hooke's Law for the shearing stress and strain is applied. As a result, the equation for shearing stress in a shaft can be derived.
235
Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

176
Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
176

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Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
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一个多变量生物力学数据的依赖循环线性模型:Ilizarov环固定器研究.

Priyanka Nagar1, Andriette Bekker2,3, Mohammad Arashi4

  • 1Faculty of Economic and Management Sciences, Department of Statistics and Actuarial Science, Stellenbosch University, Stellenbosch, South Africa.

Statistical methods in medical research
|August 6, 2024
PubMed
概括

这项研究引入了一种新的统计框架,使用葡萄来准确地建模复杂的生物力学数据. 它通过整合循环和线性变量来解决现有方法的局限性,改善对外部固定器比较的分析.

关键词:
循环线性数据循环线性数据指向统计的方向统计.骨折的移位 骨折的移位多变量模型是多变量模型.葡萄树的合体是葡萄树的合体.福利 幸福感 幸福感

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科学领域:

  • 生物机械工程 生物机械工程
  • 整形医学研究 整形医学研究
  • 统计建模 统计建模

背景情况:

  • 生物机械和骨科研究往往涉及复杂的数据集,包括循环和线性变量.
  • 现有的方法经常忽视这些变量之间的依赖性,忽视循环数据的周期性,导致不准确的结论.
  • 精确的建模需要整合方向统计的方法来处理循环变量的独特特征.

研究的目的:

  • 提出一个新的建模框架,用于循环线性数据的六维联合分布.
  • 解决生物机械和骨科研究当前分析方法的局限性.
  • 准确地建模在外部固定器比较中测量的断裂位移,特别是使用来自Ilizarov环固定器的数据.

主要方法:

  • 基于葡萄树的建模框架被建议用于分析循环线性数据.
  • 该框架使用了葡萄藤的对分解概念.
  • 依赖关系是通过循环-线性,循环-循环和线性-线性对进行建模的,每种对都由适当的配对处理.

主要成果:

  • 拟议的葡萄配方框架成功地模拟了六个变量的联合分布,包括循环和线性数据.
  • 它允许评估联合分布中的依赖关系,同时考虑循环变量的周期性.
  • 与传统方法相比,该方法提供了更准确的机械行为表示.

结论:

  • 葡萄树的方法为建模生物力学数据,特别是外部固定器研究中的骨折位移提供了显著的进步.
  • 这种框架使我们能够更精确地了解像伊利扎罗夫环固定器这样的设备的机械行为.
  • 这项研究为科学研究中复杂的循环线性数据集的准确分析提供了新的方法.