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Related Concept Videos

Design of Transmission Shafts01:16

Design of Transmission Shafts

The design of a transmission shaft is governed by two primary specifications: the power it transmits and its rotational speed. These parameters guide the selection of the shaft's material and cross-sectional dimensions, ensuring that the material's maximum shearing stress remains within the elastic limit while transmitting the desired power at the given speed. The system's power is intrinsically linked to the applied torque. The torque applied to the shaft can be calculated by reconfiguring the...
Design Example: Traverse Angle Computations01:25

Design Example: Traverse Angle Computations

Traverse angle computations are a critical component of surveying, used to compute the internal angles within a closed traverse. A traverse consists of a series of connected lines forming a closed loop, often used for land boundary delineation or mapping. Calculating the internal angles ensures accuracy in the traverse geometry and is essential for checking survey data integrity.The process begins with known azimuths and bearings of the traverse sides. Internal angles at each vertex are...
Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the torque exerted...
Design of Transmission Shafts - Stress Analysis01:15

Design of Transmission Shafts - Stress Analysis

Designing a transmission shaft requires a thorough understanding of the stresses induced by bending moments and torques, especially in systems where power is transferred through gears. These forces create force-couple systems at the centers of the shaft's cross-sections, leading to both transverse and torsional loading. Although shearing stresses from transverse loads are typically smaller than those from torques and are often overlooked, the significant normal stresses from these loads...
Design Example: Calculating Safe Diameter for Wind-Exposed Disc01:17

Design Example: Calculating Safe Diameter for Wind-Exposed Disc

Assessing safety in wind-exposed installations is crucial to preventing potential failures. This example explores the calculation and design adjustments needed to mount a circular disc on a building facade, where wind forces are a primary concern. A 4-meter diameter disc was initially designed as an aesthetic feature facing winds at a velocity of 25 meters per second, with an air density of 1.25 kilograms per cubic meter. Given these conditions, the drag force on the disc was determined using...
Thin-Walled Hollow Shafts01:15

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 of...

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Related Experiment Video

Updated: May 24, 2026

A Rapid Method for Modeling a Variable Cycle Engine
04:58

A Rapid Method for Modeling a Variable Cycle Engine

Published on: August 13, 2019

Small-tip-angle spokes pulse design using interleaved greedy and local optimization methods.

William A Grissom1, Mohammad-Mehdi Khalighi, Laura I Sacolick

  • 1GE Global Research, Munich, Germany. will.grissom@vanderbilt.edu

Magnetic Resonance in Medicine
|March 7, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a novel method for designing magnetic resonance imaging (MRI) radiofrequency pulses. The new approach improves flip angle homogeneity for both single- and multifrequency spokes pulses, outperforming existing techniques.

Related Experiment Videos

Last Updated: May 24, 2026

A Rapid Method for Modeling a Variable Cycle Engine
04:58

A Rapid Method for Modeling a Variable Cycle Engine

Published on: August 13, 2019

Area of Science:

  • Magnetic Resonance Imaging (MRI)
  • Radiofrequency Pulse Design
  • Medical Physics

Background:

  • Current spokes pulse design methods rely on sparse approximation or local optimization.
  • Sparse approximation methods are efficient but limited in handling off-resonance effects and multifrequency designs.
  • Local optimization methods accommodate off-resonance effects but are prone to initialization issues and local minima.

Purpose of the Study:

  • To introduce a new method for designing spokes pulses that combines the strengths of existing approaches.
  • To improve flip angle homogeneity in MRI radiofrequency pulses.
  • To address limitations of current sparse approximation and local optimization methods.

Main Methods:

  • A hybrid method interleaving local optimization iterations with a greedy location selection strategy.
  • Optimization of radiofrequency pulses, target phase patterns, and spatial frequency locations.
  • Simulations and experimental validation at 3 T and 7 T.

Main Results:

  • The proposed method consistently produced spokes pulses with lower flip angle inhomogeneity.
  • Demonstrated superior performance for both single- and multifrequency designs.
  • Outperformed current state-of-the-art methods in simulations and experiments.

Conclusions:

  • The interleaved local and greedy method offers a robust approach to spokes pulse design.
  • This technique enhances radiofrequency pulse performance, leading to improved image quality.
  • The method is effective across different field strengths (3 T and 7 T).