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相关概念视频

Types of Damping01:20

Types of Damping

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If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
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Surface Tension and Surface Energy01:16

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When a paint brush is immersed in water, the bristles wave freely inside the water. When it is taken out, the bristles stick together. The reason behind this effect is surface tension.
Consider a beaker filled with liquid. The bulk molecules in the liquid experience equal attractive forces on all sides with the surrounding molecules. However, the surface molecules experience a net attractive force downward due to the bulk molecules. The surface of the liquid behaves like a stretched membrane,...
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Wave Parameters01:10

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The simplest mechanical waves are associated with simple harmonic motion and repeat themselves for several cycles. These simple harmonic waves can be modeled using a combination of sine and cosine functions. Consider a simplified surface water wave that moves across the water's surface. Unlike complex ocean waves, in surface water waves, water moves vertically, oscillating up and down, whereas the disturbance of the wave moves horizontally through the medium. If a seagull is floating on the...
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Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
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Surface Tension of Fluid01:22

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Surface tension is a fundamental property of fluids, occurring at the boundary between a liquid and a gas or between two immiscible liquids. This phenomenon arises from the cohesive forces between molecules at the fluid's surface, creating an effect similar to a stretched elastic membrane. Inside each fluid, molecules are equally attracted in all directions by neighboring molecules, but surface molecules experience a net inward force, resulting in surface tension.
Surface tension varies...
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Elastic Strain Energy for Shearing Stresses01:20

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As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
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Author Spotlight: Characterizing Environmental Biofilm Mechanics Using Optical Coherence Elastography and its Applications in Wastewater Treatment
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在活性表面中奇异的弹性和拓波.

Michele Fossati1,2, Colin Scheibner3,4, Michel Fruchart3,4

  • 1SISSA, Trieste 34136, Italy.

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概括

奇偶弹性在弹性张量中引入反对称元件,使活跃表面具有独特的波动力学. 这项研究揭示了奇异的模块如何产生性边缘波,这是拓材料的关键发现.

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科学领域:

  • 物理 物理学 物理
  • 材料科学 材料科学 材料科学
  • 固体力学 固体力学是什么

背景情况:

  • 奇偶弹性偏离传统的弹性,因为缺乏潜在能量函数,将反对称元件引入弹性张量.
  • 这一框架对于理解活性弹性系统及其独特的机械行为至关重要.
  • 非赫米特波动力学探索与活性材料相关的能量消散或增益的系统.

研究的目的:

  • 研究奇异弹性现象及其对活性表面,特别是中等厚度板块中非赫米特波动力学的影响.
  • 探索拓不变的出现,如第一个切尔恩数,在这些板的振动模式.
  • 为了阐明在奇异弹性系统中负责性边缘波的潜在机制.

主要方法:

  • 利用连续弹性理论来建模具有奇数弹性的活性表面的行为.
  • 分析中等厚度板块的振动模式,以确定拓性质.
  • 研究奇数模块,切尔恩数和边界波的存在之间的关系.

主要成果:

  • 证明奇数模块可以在板块的振动模式中导致非零的第一个切尔恩数.
  • 建立了切尔恩数和在板边界存在单向剪切波之间的直接联系.
  • 确定了一种两步机制,其中有限厚度间隙的剪切模式和奇异的弹性会诱导性.

结论:

  • 奇异弹性为工程机械系统中的拓性质提供了一条新的途径.
  • 这些发现揭示了奇拉边缘波的存在,类似于拓绝缘体中的边缘状态,但由不同的物理原理引起.
  • 这项工作为设计具有定制波传播特性和拓保护的活性材料开辟了新的途径.