相关实验视频
Updated: Jun 17, 2025

08:00
DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers
Published on: October 25, 2017
6.9K
对于可调整刚度的单原子链,保留弹质量的局部到非局部过渡规律
Flavia Guarracino1, Massimiliano Fraldi2,3, Nicola M Pugno1,4
1Laboratory for Bioinspired, Bionic, Nano, Meta Materials and Mechanics, Department of Civil, Environmental and Mechanical Engineering, University of Trento, via Mesiano 77, Trento, Italy.
概括
本研究介绍了弹性弹的质量保存原理,使其能够从局部到非局部格子配置过渡. 这个原理通过调整刚性和非局部性的程度来确保元材料的适当动力学.
科学领域:
- 物理 物理学 物理
- 材料科学 材料科学 材料科学
- 机械工程 机械工程
背景情况:
- 网格中的非局部配置,使用超出最近邻近的合,产生类似轮子的分散关系和不寻常的速度特性.
- 现有的文献缺乏将本地和非本地格子进行比较的标准或在它们之间过渡的规则.
研究的目的:
- 提出一个物理上有根据的原则,用于将单原子链从单个连接到多个连接系统的过渡.
- 引入一个无维参数来调整刚度分布,并分析其对格子动态的影响.
- 建立一个一般的机械一致性条件,以保持弹性超材料的适当动力学.
主要方法:
- 分析地导出分散关系作为硬度调整参数[公式:见文本]和非局部度[公式:见文本]的函数.
- 适用于弹性弹的质量保存定律,以建立过渡原则.
- 数值模拟和二维快速里叶变换 (FFT) 用于分析有限长度链.
主要成果:
- 提出的原则作为一个一般的机械一致性条件,对于保持正确的动态至关重要.
- 分散关系是通过分析推导出来的,显示了对刚度调整参数和非局部度的依赖.
- 模拟突出了具有不同参数的有限长度链中的关键动态特征.
结论:
- 该研究为理解和控制局部和非局部弹性格子之间的过渡提供了一个框架.
- 引入的参数和原理为调整元材料特性提供了一种方法.
- 这些发现对于先进的弹性和声学超材料的设计和应用至关重要.
相关概念视频
Stability of structures
159
In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
159
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration
1.3K
A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to...
According to Hooke's law, the vibrational frequency is directly proportional to...
1.3K
Frequency of Spring-Mass System
5.4K
One interesting characteristic of the simple harmonic motion (SHM) of an object attached to a spring is that the angular frequency, and the period and frequency of the motion, depend only on the mass and the force constant of the spring, and not on other factors such as the amplitude of the motion or initial conditions. We can use the equations of motion and Newton's second law to find the angular frequency, frequency, and period.
Consider a block on a spring on a frictionless surface. There...
Consider a block on a spring on a frictionless surface. There...
5.4K
Generalized Hooke's Law
875
The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
875
Temperature Dependent Deformation
144
In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
144
Bending of Members Made of Several Materials
145
In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
145

