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Thin-Walled Hollow Shafts

Thin-Walled Hollow Shafts

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...

Fluid Pressure over Flat Plate of Constant Width

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When a body is submerged in water, it experiences fluid pressure acting normal on its surface and distributed over its area. For better design structures, it is crucial to determine the magnitude and location of the resultant force acting on the surface. In the case of a rectangular plate of constant width submerged in water, the pressure increases with depth, resulting in a linearly varying trapezoidal pressure distribution from the upper to the lower edge of the plate.
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When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...

Deformation in a Circular Shaft

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One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...

Unsymmetric Loading of Thin-Walled Members: Problem Solving

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The shear center of a channel section with uniform thickness, height, and width, is determined by computing the shear force in the member and calculating the moments of inertia of the sections.
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Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions

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Published on: February 17, 2019

Backscattering by a tilted intermediate thickness cylindrical metal empty shell in water.

Bernard R Hall¹, Philip L Marston¹

¹Department of Physics and Astronomy, Washington State University, Pullman, Washington 99163, USA bernard.hall@wsu.edu; marston@wsu.edu.

JASA Express Letters

|December 1, 2022

Summary

This summary is machine-generated.

This study examines acoustic backscattering from metal shells in water. Results reveal distinct wave phenomena, including supersonic and subsonic guided waves, influencing scattering patterns at various frequencies and tilt angles.

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Area of Science:

Acoustics
Materials Science
Wave Physics

Background:

Previous research explored acoustic backscattering from metal shells, noting dependence on shell thickness and "acoustic color."
The current study focuses on shells with an intermediate thickness-to-radius ratio (0.106).

Purpose of the Study:

Investigate acoustic backscattering phenomena in metal shells.
Analyze the influence of guided waves and meridional rays on scattering patterns.
Characterize the relationship between frequency, tilt angle, and backscattering response.

Main Methods:

Numerical or experimental investigation of acoustic wave propagation and scattering.
Analysis of backscattered signals across a range of frequencies and tilt angles.
Time-frequency-angle domain analysis to identify wave contributions.

Main Results:

Supersonic antisymmetric guided waves create prominent tilt-angle dependent enhancements above the coincidence frequency.
Subsonic guided waves are significant across various frequencies and tilt angles.
Meridional ray contributions are observable in the time-frequency-angle domain.

Conclusions:

Guided waves play a crucial role in the acoustic backscattering of metal shells.
The thickness-to-radius ratio influences the observed scattering characteristics.
Detailed analysis reveals complex wave interactions contributing to the overall acoustic signature.