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相关概念视频

Elasticity in Concrete01:20

Elasticity in Concrete

87
Upon subjecting concrete to moderate or high uniaxial compressive or tensile stresses, the strain response is non-linear relative to the stress applied. As the stress is removed, the resulting stress-strain curve deviates from the original path traced during loading, creating a hysteresis loop, indicative of the concrete's non-linear and non-elastic properties. Typically, a material's modulus of elasticity, which is a measure of the material's stiffness, is inferred from the linear...
87
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
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

75
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
75
Dynamic Modulus of Elasticity of Concrete01:16

Dynamic Modulus of Elasticity of Concrete

288
The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by...
288
Castigliano's Theorem01:18

Castigliano's Theorem

376
Castigliano's theorem analyzes displacements and rotations in elastic structures. It relates the derivative of elastic strain energy to the applied forces or moments, allowing for the calculation of deformations. The theorem states that the partial derivative of the total strain energy of a system with respect to a specific load results in the displacement at the point where the load is applied. This principle applies to both forces and moments.
376
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

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Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
114

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Sample Preparation in Quartz Crystal Microbalance Measurements of Protein Adsorption and Polymer Mechanics
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用CSDA方法对非线性粘弹性模型的算法触角模块进行数值近似.

Xinggui Fan1, Jinsheng Xu2, Xiong Chen1

  • 1Nanjing University of Science and Technology, Xiaolingwei 200#, Xuanwu District, Nanjing, Jiangsu, China.

Scientific reports
|August 7, 2024
PubMed
概括

复杂的阶段导数近似 (CSDA) 为粘弹性材料模型中的数值差异化提供了一个计算效率高和强大的方法. 这种技术准确地评估算法触角模块,优于其他数值方法.

关键词:
算法的触角模块.在CSDA中,CSDA是最重要的.有限元素方法的方法是有限的.粘弹性模型 粘弹性模型

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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.
  • 数字分析 数字分析

背景情况:

  • 粘弹性材料表现出时间依赖的机械性能.
  • 准确的构成模型的数值评估对于模拟材料行为至关重要.
  • 传统的数值分化方法可能会受到准确性和效率问题的影响.

研究的目的:

  • 重新审视并将复杂阶段导数近似法 (CSDA) 应用于非线性粘弹性构成模型.
  • 评估CSDA的有效性和计算效率,以确定算法触角模.
  • 将CSDA的表现与分析方法和其他数值差异化技术进行比较.

主要方法:

  • 实现复杂阶段导数近似法 (CSDA) 用于数值差异化.
  • 应用CSDA对一类非线性粘弹性构成模型.
  • 使用CSDA对算法触角模块的数值评估.
  • 通过三个不同的数值测试进行验证,并与分析解决方案进行比较.

主要成果:

  • 该CSDA方案显示了高计算效率和数字差异化的稳定性.
  • CSDA准确地确定了粘弹性构成模型的算法触角模块.
  • CSDA的性能优于其他数值差异化技术,无论有限差异区间大小如何.

结论:

  • 复杂阶段导数近似 (CSDA) 是一种高效和高效的方法,用于在粘弹性材料的背景下进行数值差异化.
  • CSDA提供了一种强大的方法来评估算法触角模块,提高构成模型模拟的准确性.
  • 这项研究验证了CSDA作为复杂材料建模的优越数值技术.