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関連する概念動画

Conservation of Angular Momentum: Application01:18

Conservation of Angular Momentum: Application

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A system's total angular momentum remains constant if the net external torque acting on the system is zero. Examples of such systems include a freely spinning bicycle tire that slows over time due to torque arising from friction, or the slowing of Earth's rotation over millions of years due to frictional forces exerted on tidal deformations. However in the absence of a net external torque, the angular momentum remains conserved. The conservation of angular momentum principle requires a...
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Conservation of Linear Momentum for a System of Particles01:28

Conservation of Linear Momentum for a System of Particles

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In the dynamic realm of billiards, a fascinating interplay of forces governs the motion of cue balls and stationary balls. When the cue ball collides with a stationary ball, linear momentum is exchanged. The cue ball imparts a fraction of its linear momentum to the stationary ball, causing the cue ball to decelerate while initiating the motion of the stationary ball.
The impulsive force at play during this interaction is of extremely short duration, rendering its impulse negligible. When...
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Conservation of Angular Momentum01:09

Conservation of Angular Momentum

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A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n tiny particles, the angular momentum of any tiny particle may change, but the system's total angular momentum would remain constant. The principle of conservation of angular momentum only considers the net external torque acting on the system. While there are internal forces exerted by different particles within the system that also produce...
15.9K
Linear Momentum in Control Volume01:13

Linear Momentum in Control Volume

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Newton's second law is applied to obtain the linear momentum in a control volume in a fluid system. According to this law, the rate of change of linear momentum is equal to the sum of external forces acting on the system. When a control volume matches the fluid system at a specific moment, the forces acting on both are identical. Reynolds transport theorem helps explain this by breaking down the system's linear momentum into two components: the rate of change of linear momentum within...
1.3K
Angular Momentum01:21

Angular Momentum

756
Angular momentum characterizes an object's rotational motion and is defined as the moment of its linear momentum about a specified point O. When a particle moves along a curved path in the x-y plane, the scalar formulation calculates the magnitude of its angular momentum, utilizing the moment arm (d), representing the perpendicular distance from point O to the line of action of the linear momentum. Despite being scalar in formulation, angular momentum is inherently a vector quantity. Its...
756
Principle of Linear Impulse and Momentum for a System of Particles01:21

Principle of Linear Impulse and Momentum for a System of Particles

579
In the context of a system of particles moving relative to an inertial frame of reference, the equation of motion is a crucial tool for understanding the dynamics of the system. This equation, which accounts for external forces acting on each particle, plays a fundamental role in describing the system's behavior.
Notably, internal forces between particles, occurring in equal and opposite collinear pairs, cancel out and are not part of the equation of motion. This exclusion simplifies the...
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Updated: Jan 18, 2026

Robotic Mirror Therapy System for Functional Recovery of Hemiplegic Arms
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物理情報グラフニューラルネットワークによる力積および角運動量保存則を満たす力学系のモデル化

Vinay Sharma1, Olga Fink2

  • 1Intelligent Maintenance and Operations Systems, EPFL, Lausanne, Switzerland.

Nature communications
|January 15, 2026
PubMed
まとめ
この要約は機械生成です。

我々は、新しい物理情報グラフニューラルネットワークであるDYNAMI-CAL GRAPHNETを紹介します。このモデルは、物理的な一貫性と解釈可能性を確保し、リアルタイムアプリケーション向けの複雑な多体動力学を正確に予測します。

キーワード:
物理情報グラフニューラルネットワーク多体動力学運動量保存ロボティクス航空宇宙工学

さらに関連する動画

A Human-machine-interface Integrating Low-cost Sensors with a Neuromuscular Electrical Stimulation System for Post-stroke Balance Rehabilitation
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Experimental Methods to Study Human Postural Control
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A Human-machine-interface Integrating Low-cost Sensors with a Neuromuscular Electrical Stimulation System for Post-stroke Balance Rehabilitation
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Experimental Methods to Study Human Postural Control
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科学分野:

  • 物理学
  • コンピュータサイエンス
  • 工学

背景:

  • 多体力学系の正確なモデリングは、予測と推論にとって重要です。
  • 従来の物理ベースモデルは、スケーラビリティと計算コストに苦労しています。
  • データ駆動型グラフニューラルネットワーク（GNN）は、物理的な一貫性と解釈可能性を欠いていることがよくあります。

研究 の 目的:

  • 物理情報グラフニューラルネットワークであるDYNAMI-CAL GRAPHNETを提案すること。
  • GNN学習と物理ベースの帰納的バイアスを統合してモデリングを改善すること。
  • 力学系における従来の、および純粋にデータ駆動型アプローチの限界に対処すること。

主な方法:

  • 新しい物理情報グラフニューラルネットワークであるDYNAMI-CAL GRAPHNETを開発しました。
  • 等変エッジ局所参照フレームを使用して、ペアごとの線形および角運動量の保存を強制しました。
  • 回転等変性、並進不変性、および置換等変性に対して設計されました。

主要な成果:

  • ノードダイナミクスの物理的に一貫した予測を達成しました。
  • エッジごとの線形および角運動量の解釈可能なインパルスを提供しました。
  • 3D粒状システムにおける安定した誤差蓄積、効果的な外挿、および異種相互作用と外部力に対する堅牢な処理を実証しました。

結論:

  • DYNAMI-CAL GRAPHNETは、複雑な多体力学系の正確で解釈可能、かつリアルタイムなモデリングを提供します。
  • 力とモーメントの推論を可能にし、複雑な相互作用を効率的に処理します。
  • ロボティクス、航空宇宙工学、材料科学、制御システム、および機械プロセス最適化に役立ちます。