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The comparability between linear and angular velocities, linear and angular accelerations, and the kinematic equations of translational and rotational motion can be extended to the concept of inertia.
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A gyroscope is defined as a spinning disk in which the axis of rotation is free to assume any orientation. When spinning, the orientation of the spin axis is unaffected by the orientation of the body that encloses it. The body or vehicle enclosing the gyroscope can be moved from place to place, while the orientation of the spin axis remains the same. This makes gyroscopes very useful in navigation, especially where magnetic compasses cannot be used, such as in crewed and crewless spacecraft,...
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Imagine a rigid body that is rotating at an angular velocity of ω within an inertial frame of reference. Along with this, picture a second rotating frame that is attached to the body itself. This frame moves along with the body and possesses an angular velocity of Ω. The total moment about the center of mass is calculated by adding the rate of change of angular momentum about the center of mass in relation to the rotating frame and the cross-product of the body's angular velocity...
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The concept of the inertia tensor is employed to depict the mass distribution and rotational inertia of a solid or rigid object. This tensor is expressed through a three-by-three matrix. Each component within this matrix corresponds to varying moments of inertia about specific axes.
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Torque Free Motion01:15

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The torque-free motion refers to the movement of a rigid body in space when no external torques are acting upon it. This type of motion can be observed in environments where there are no external forces or frictions, like in outer space. For example, a rotation of Mars in space is a torque-free motion. Mars is an axisymmetric object, meaning it has an axis of symmetry along which it rotates, designated as the z-axis. The rotating frame of reference is defined such that the center of mass of...
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The internal combustion engine is a heat engine that uses the byproducts of combustion as the working fluid instead of using a heat transfer medium to transfer heat. The combustion is done in a way that produces high-pressure combustion products that can be expanded through a turbine or piston to create work. Internal combustion engines can again be categorized into three kinds: (1) spark ignition gasoline engines, most commonly used in automobiles, (2) compression ignition diesel engines that...
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Updated: Aug 12, 2025

A Rapid Method for Modeling a Variable Cycle Engine
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Inertialess gyrating engines.

Jordi Ventura Siches1, Olga Movilla Miangolarra1, Amirhossein Taghvaei2

  • 1Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697, USA.

PNAS Nexus
|January 30, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces an inertia-less gyrating engine concept. Coupled torque components average ambient potential variations, enabling sustained operation with minimal inertia, applicable to biological and technological systems.

Keywords:
Brownian gyratorStirling engineaveraginglimit cycle oscillation

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Area of Science:

  • Thermodynamics
  • Mechanical Engineering
  • Biophysics

Background:

  • Gyrating engines typically rely on inertial effects to average out angle-dependent torques, producing limit cycle oscillations.
  • Biological systems utilize torque-generating mechanisms, often fueled by chemical gradients, but inertia is not a primary characteristic.
  • Existing models for engines like Stirling and Brownian gyrating engines depend on system inertia.

Purpose of the Study:

  • To investigate an inertia-less concept for sustained engine operation.
  • To explore how coupled torque-producing components can overcome limitations of ambient potential variations and dissipative forces without significant inertia.
  • To demonstrate the applicability of this inertia-less principle to specific engine types and biological processes.

Main Methods:

  • Theoretical analysis of an inertia-less engine model.
  • Examination of the Stirling engine and Brownian gyrating engine as exemplars of the inertia-less concept.
  • Mathematical modeling to show how coupled torque components average ambient potential and overcome dissipation.

Main Results:

  • Demonstrated a mechanism where coupled torque components effectively average ambient potential variations.
  • Showcased sustained operation with vanishingly small inertia.
  • Identified potential for reducing vibrations in technological engines by mitigating torque variability.

Conclusions:

  • An inertia-less operational principle for gyrating engines is feasible.
  • This concept offers a novel approach for designing efficient engines, particularly in systems where inertia is a limiting factor.
  • The findings have implications for both biomolecular processes and advanced technological engine design.