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Related Concept Videos

Plastic Deformation in Circular Shafts01:20

Plastic Deformation in Circular Shafts

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When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...
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Design of Transmission Shafts01:16

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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...
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Deformation in a Circular Shaft01:10

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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...
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Design of Transmission Shafts - Stress Analysis01:15

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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...
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Circular Shafts - Elastoplastic Materials01:24

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The study of solid circular shafts under stress shows that within the elastic limit, stress increases directly to the distance from the shaft's center. This relationship holds until the shaft reaches a critical point of stress, beyond which it begins to yield, marking the transition from elastic to plastic deformation. At this crucial juncture, the maximum torque the shaft can endure without permanent deformation is determined, signifying the limit of its elastic behavior.
As torque on the...
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Mechanical Systems01:22

Mechanical Systems

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Mechanical systems are analogous to to electrical networks where springs and masses play similar roles to inductors and capacitors, respectively. A viscous damper in mechanical systems functions similarly to a resistor in electrical networks, dissipating energy. The forces acting on a mass in such systems include an applied force in the direction of motion, counteracted by forces from the spring, a viscous damper, and the mass's acceleration. This interplay of forces is mathematically...
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Related Experiment Video

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Studying Orthodontic Tooth Movement in Mice
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Multi-field coupled dynamics for a movable tooth drive system integrated with shape memory alloys.

Lizhong Xu1, Zhenglong Fu1

  • 1Mechanical Engineering Institute, Yanshan University, Qinhuangdao, 066004, China.

Heliyon
|July 17, 2023
PubMed
Summary

The dynamics of shape memory alloy (SMA) driven harmonic systems were modeled. Natural frequencies periodically change due to SMA phase transitions, impacting system design.

Keywords:
DynamicsIntegratedMovable tooth driveMulti-field coupledShape memory alloys

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Area of Science:

  • Mechanical Engineering
  • Materials Science
  • Robotics

Background:

  • Harmonic movable tooth drive systems offer compact size and high torque.
  • Understanding the dynamic performance is crucial for these systems.
  • Shape memory alloys (SMAs) are increasingly integrated into drive systems.

Purpose of the Study:

  • To develop a coupled nonlinear dynamics model for SMA-integrated harmonic movable tooth drive systems.
  • To investigate the influence of SMA phase transformation on system natural frequencies.
  • To analyze the relationship between system parameters and dynamic behavior.

Main Methods:

  • Deduction of coupled dynamics equations based on the system's structure and working principle.
  • Analysis of natural frequency variations during operation.
  • Investigation of nonlinear resonant frequencies and amplitude-frequency relationships.

Main Results:

  • Natural frequencies exhibit periodic changes due to SMA phase transformation.
  • System parameters like eccentricity and radii significantly affect natural frequencies.
  • Nonlinear resonant frequencies were found to be lower than linear ones.

Conclusions:

  • SMA phase transformation causes periodic natural frequency shifts in the drive system.
  • Design considerations must include coupled nonlinear effects of SMA properties and system parameters.
  • The proposed model accounts for temperature, phase change, stress, strain, and system parameters.