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相关概念视频

Work and Energy for Variable Forces01:10

Work and Energy for Variable Forces

5.6K
When an object is acted upon by a variable force, the amount of work done and the change in energy of the object can be more complex to calculate compared to when a constant force is applied. Work is the product of force and displacement, while energy is the capacity of a system to do work. When a constant force is applied to an object, the work done can be calculated as the product of the force and the distance moved in the direction of the force. However, when a variable force is applied, the...
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Work Done by Many Forces01:03

Work Done by Many Forces

5.4K
The total work done on an object acted upon by multiple forces can be computed using two methods that give the same result. In one method, the work done by each force is first calculated. Then, those values are summed algebraically to calculate the total work done by all the forces. In the second method, the net force is first calculated by a vector sum of all the forces. Then, the work done by this force is obtained.
Since forces perpendicular to the displacement do no work, they do not...
5.4K
Work Done on a System by External Force01:11

Work Done on a System by External Force

2.8K
The work done by an external force on a particle changes its kinetic energy. However, internal forces must also be considered for a system of interacting particles. The potential energy formulation helps formulate the effect of internal forces. The net work done by an external force can be written in terms of the total change of mechanical energy, which includes both kinetic and potential energies.
In the presence of a non-conservative opposing force, like friction, some part of the work done...
2.8K
Conservative Forces01:14

Conservative Forces

13.7K
According to the law of conservation of energy, any transition between kinetic and potential energy conserves the total energy of the system. Hence, the work done by a conservative force is completely reversible. It is path independent, which means that we can start and stop at any two points in the transition, and the total energy of the system (kinetic plus potential energy at these points) will remain conserved. This is characteristic of a conservative force. Some important examples of...
13.7K
Conservative Forces01:03

Conservative Forces

889
Conservative forces are an essential concept in the field of mechanical engineering. Understanding the properties and characteristics of these forces is crucial to the design and analysis of mechanical systems.
Conservative forces are forces that are dependent only on the initial and final positions of an object and that are independent of the path that the object takes between these positions. These forces conserve energy, which means that the work done by the force is independent of the path...
889
Principle of Virtual Work: Problem Solving01:13

Principle of Virtual Work: Problem Solving

1.6K
The principle of virtual work is an essential concept in the field of mechanics and engineering. This is used to solve problems related to the equilibrium of a structure or system. It is based on the assumption that if a system is in equilibrium, the work done by all the forces during a virtual displacement is zero. This principle is applied by considering virtual displacements of the system and the corresponding work done by internal and external forces.
To apply the principle of virtual work,...
1.6K

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相关实验视频

Updated: Jan 9, 2026

High-Speed Magnetic Tweezers for Nanomechanical Measurements on Force-Sensitive Elements
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High-Speed Magnetic Tweezers for Nanomechanical Measurements on Force-Sensitive Elements

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利用非平衡力来优化工作提取力.

Kristian Stølevik Olsen1, Rémi Goerlich2,3, Yael Roichman3,4

  • 1Institut für Theoretische Physik II - Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Düsseldorf, Germany. kristian.olsen@hhu.de.

Nature communications
|December 9, 2025
PubMed
概括
此摘要是机器生成的。

研究人员发现,最佳控制策略可以通过利用非平衡力来最大限度地降低微观系统中的能源成本. 这项工作为最佳协议和工作提供分析解决方案,提高纳米和微尺度设备的能源效率.

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Fabrication and Operation of a Nano-Optical Conveyor Belt
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High-Speed Magnetic Tweezers for Nanomechanical Measurements on Force-Sensitive Elements

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Simplified, High-throughput Analysis of Single-cell Contractility using Micropatterned Elastomers
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Fabrication and Operation of a Nano-Optical Conveyor Belt
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科学领域:

  • 统计力学 统计力学
  • 非平衡的物理 物理学
  • 最佳控制理论 最佳控制理论

背景情况:

  • 最佳控制理论将噪音较大的微观系统中的能量成本降至最低.
  • 利用非平衡力的时间结构为提高效率提供了机会.

研究的目的:

  • 为了获得最佳协议的精确分析形式,并在非平衡系统中工作.
  • 建立基于集成力的工作的一般准静态边界.
  • 展示最佳协议如何利用关于非平衡力和初始状态的信息.

主要方法:

  • 精确的分析解决方案的推导,以获得最佳的控制协议.
  • 开发一个通用的准静态工作限制.
  • 分析具有周期性驱动力和活性物质的系统.

主要成果:

  • 对于任何驱动力和持续时间,可以获得最佳协议和工作的准确分析形式.
  • 总的准静态与工作结合得出,仅依赖于集成力特征.
  • 最佳的协议被证明可以利用关于非平衡力和初始状态测量的信息来提取工作.

结论:

  • 利用非平衡力的时间结构为能源效率提供了一种强大而尚未探索的方法.
  • 衍生方法为设计适应性,节能策略在杂的,时间依赖的微观系统中提供了新的方向.
  • 这种方法在纳米和微尺度设备中承诺显著的性能提升.