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Related Concept Videos

Torsional Pendulum01:09

Torsional Pendulum

A torsional pendulum involves the oscillation of a rigid body in which the restoring force is provided by the torsion in the string from which the rigid body is suspended. Ideally, the string should be massless; practically, its mass is much smaller than the rigid body's mass and is neglected.
As long as the rigid body's angular displacement is small, its oscillation can be modeled as a linear angular oscillation. The amplitude of the oscillation is an angle. The role of mass is played by the...
Torque Free Motion01:15

Torque Free Motion

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...
Torsion of Noncircular Members01:16

Torsion of Noncircular Members

Circular shafts undergoing torsional stress maintain their cross-sectional integrity due to their axisymmetric nature. This symmetry ensures an even distribution of stress, allowing the shaft to withstand torsion without distorting. In contrast, square bars, lacking this axial symmetry, experience significant distortion across their cross-sections when subjected to torsion, with the exception of along their diagonals and at lines connecting midpoints. A detailed examination of a cubic element...
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Bending and torsional moments are two fundamental concepts in structural engineering. They play an important role in understanding the behavior of materials and structures under different loading conditions.
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In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
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Angular variables are introduced in rotational dynamics. Comparing the definitions of angular variables with the definitions of linear kinematic variables, it is seen that there is a mapping of the linear variables to the rotational ones. Linear displacement, velocity, and acceleration have their equivalents in rotational motion, which are angular displacement, angular velocity, and angular acceleration. Similar to the rotational variables, a mapping exists from Newton's second law of motion...

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Method to Measure Tone of Axial and Proximal Muscle
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Published on: December 14, 2011

Nonlinear torsional oscillations in rotating systems.

X Liao1, K Zhang, Y Chang

  • 1Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China.

Physical Review Letters
|March 16, 2007
PubMed
Summary

Nonlinear torsional oscillations, variations in stellar and planetary rotation, can be generated by convective instabilities. This study demonstrates their maintenance through these natural fluid dynamics processes in rotating systems.

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Area of Science:

  • Astrophysics
  • Geophysics
  • Fluid Dynamics

Background:

  • Torsional oscillations, temporal variations in differential rotation, are known in convective stars and planets.
  • These oscillations are typically observed in fluid regions of celestial bodies.

Purpose of the Study:

  • To demonstrate for the first time that nonlinear torsional oscillations can be generated and sustained by convective instabilities.
  • To explore the role of convective instabilities in maintaining differential rotation variations.

Main Methods:

  • Numerical simulations of rotating fluid systems with convective instabilities.
  • Analysis of temporal variations in differential rotation patterns.

Main Results:

  • Nonlinear torsional oscillations were successfully generated within the simulated rotating systems.
  • Convective instabilities were shown to be the driving mechanism for these oscillations.
  • The oscillations were maintained over time by the ongoing convective processes.

Conclusions:

  • Convective instabilities are capable of generating and sustaining nonlinear torsional oscillations.
  • This finding provides a new mechanism for understanding rotational dynamics in stars and planets.
  • The results have implications for models of stellar and planetary interiors.