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Related Concept Videos

Stress Concentrations in Circular Shafts01:18

Stress Concentrations in Circular Shafts

Consider the elastic torsion formula, which applies to a circular shaft with a consistent cross-section. This formula assumes that the shaft's ends are loaded with rigid plates firmly attached. However, in many cases, torques are applied to the shaft through mechanisms like flange couplings or gears, which are connected by keys inserted into keyways. This application method modifies the stress distribution near the point of torque application, causing it to deviate from the distributions...
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...
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...
Stability of structures01:14

Stability of structures

In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
Flexural Stress01:16

Flexural Stress

When analyzing bending in symmetric members, it's crucial to understand how stresses distribute when subjected to bending moments. This stress distribution is effectively described by applying fundamental mechanics and material science principles, particularly Hooke's Law for elastic materials.
Hooke's Law states that within the material's elastic limits, stress is directly proportional to strain. In a member experiencing a bending moment, the strain at any point is relative to its distance...
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...

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Related Experiment Video

Updated: Jul 7, 2026

Rapid Manufacturing of Thin Soft Pneumatic Actuators and Robots
08:47

Rapid Manufacturing of Thin Soft Pneumatic Actuators and Robots

Published on: November 8, 2019

Topology optimization design of flextensional actuators.

E N Silva1, S Nishiwaki, N Kikuchi

  • 1Department of Mechanical Engineering of Escola Politécnica at the Universidade de Sao Paulo, Sao Paulo, SP, 05508-900, Brazil. ecnsilva@usp.br

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|February 2, 2008
PubMed
Summary

This study introduces topology optimization for designing flextensional actuators. The method enhances actuator performance by optimizing the mechanical structure for greater displacement or force output.

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Rapid Manufacturing of Thin Soft Pneumatic Actuators and Robots
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Published on: November 8, 2019

Fabrication of Soft Pneumatic Network Actuators with Oblique Chambers
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Area of Science:

  • Mechanical Engineering
  • Materials Science
  • Robotics

Background:

  • Flextensional actuators utilize piezoceramics coupled with flexible structures to amplify displacement.
  • Actuator performance is critically dependent on the topology and mechanical properties of the coupling structure.

Purpose of the Study:

  • To develop a general topology optimization method for designing flextensional actuators.
  • To maximize output displacement or generative force in a specified direction for static and low-frequency applications.

Main Methods:

  • Application of topology optimization to design the flexible coupling structure.
  • Analysis of 2-D topologies for computational efficiency, with potential for 3-D extension.

Main Results:

  • Demonstration of a method to design flextensional actuators with enhanced output displacement and force.
  • Generation of novel actuator designs by varying coupling structure topologies.

Conclusions:

  • Topology optimization provides a versatile approach for designing high-performance flextensional actuators.
  • The method is adaptable for various output directions and can be applied to flextensional hydrophones and sonars.