Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Generalized Hooke's Law01:22

Generalized Hooke's Law

The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
Unsymmetric Bending - Angle of Neutral Axis01:15

Unsymmetric Bending - Angle of Neutral Axis

Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal centroidal axes. The...
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
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...
General Case of Eccentric Axial Loading01:12

General Case of Eccentric Axial Loading

Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from symmetrical bending, which are essential for designing structures to withstand different loading conditions.
Consider a member subjected to equal and opposite forces that are applied along a line that does not coincide with the member's neutral axis. In unsymmetrical bending,...
Bending of Curved Members - Strain Analysis01:14

Bending of Curved Members - Strain Analysis

The mechanics of deformation in curved members, such as beams or arches, under bending moments, involve complex responses. When such a member, symmetric about the y-axis and shaped like a segment of a circle centered at point C, is subjected to equal and opposite forces, its curvature and surface lengths change significantly. This alteration results in the shift of the curvature's center from C to C', indicating a tighter curve.
The important part of bending analysis for such a member is the...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Dispersion compensation of four-channel high-speed IMDD data using slow-light in a silicon nitride chip.

Optics express·2026
Same author

Digital quantitative analysis of biomechanical factors of proximal contact loss of first molar implant crown.

BMC oral health·2026
Same author

A Nomogram Predicting the Response to Tocilizumab in Treating Active, Moderate-To-Severe, Glucocorticoid-Resistant Thyroid Eye Disease: A Multicenter Retrospective Study.

Seminars in ophthalmology·2026
Same author

Triboelectric Spectroscopy for In Situ Detection of Gas Molecules in Liquid.

ACS nano·2026
Same author

Characterization of antimicrobial resistance and virulence traits of clinical <i>Pseudomonas mosselii</i> isolates with reduced meropenem susceptibility and preserved imipenem susceptibility.

Microbiology spectrum·2026
Same author

Editorial: AI for design and control of advanced robots.

Frontiers in robotics and AI·2026
Same journal

Compressed multi-scale entropy and its application in mechanical fault diagnosis.

The Review of scientific instruments·2026
Same journal

Bidirectional drive and multi-resolution adjustment across frequency bands in inertial impact piezoelectric motors via multimodal resonant vibration.

The Review of scientific instruments·2026
Same journal

A magnetic field sensor based on flaky Terfenol-D material and dual fiber grating.

The Review of scientific instruments·2026
Same journal

A novel E-field eight-way cavity combiner for high-power S-band applications.

The Review of scientific instruments·2026
Same journal

Constant radius blade spring suspended bench for vibration isolation.

The Review of scientific instruments·2026
Same journal

Qualification of infrared optical fibers and emitters for a spectrometer for in situ planetary exploration: Results from the TRIS (TRansmission and Illumination System) project.

The Review of scientific instruments·2026
See all related articles

Related Experiment Video

Updated: Jun 22, 2026

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles
12:33

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles

Published on: February 4, 2013

A generalized model for conic flexure hinges.

Guimin Chen1, Xiaoyuan Liu, Hongwei Gao

  • 1School of Mechatronics, Xidian University, Xi'an, Shaanxi 710071, People's Republic of China.

The Review of Scientific Instruments
|June 3, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces a generalized conic flexure hinge model, unifying elliptical, parabolic, and hyperbolic profiles for precision instruments. Analytical models accurately predict performance, validated by finite element analysis and experiments.

More Related Videos

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle
14:57

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle

Published on: January 30, 2019

Force System with Vertical V-Bends: A 3D In Vitro Assessment of Elastic and Rigid Rectangular Archwires
08:46

Force System with Vertical V-Bends: A 3D In Vitro Assessment of Elastic and Rigid Rectangular Archwires

Published on: July 24, 2018

Related Experiment Videos

Last Updated: Jun 22, 2026

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles
12:33

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles

Published on: February 4, 2013

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle
14:57

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle

Published on: January 30, 2019

Force System with Vertical V-Bends: A 3D In Vitro Assessment of Elastic and Rigid Rectangular Archwires
08:46

Force System with Vertical V-Bends: A 3D In Vitro Assessment of Elastic and Rigid Rectangular Archwires

Published on: July 24, 2018

Area of Science:

  • Mechanical Engineering
  • Materials Science
  • Precision Engineering

Background:

  • Flexure hinges offer frictionless and backlashless motion crucial for precision instruments.
  • Previous research explored various flexure profiles, but a unified model was lacking.

Purpose of the Study:

  • To propose a generalized conic flexure hinge model encompassing elliptical, parabolic, and hyperbolic profiles.
  • To derive analytical equations for compliance and precision matrices of these generalized hinges.

Main Methods:

  • Utilized generalized conic curves in polar coordinates for analytical derivations.
  • Employed finite element analysis (FEA) for numerical validation.
  • Conducted experimental testing to verify the analytical model.

Main Results:

  • Derived analytical equations for compliance and precision matrices for conic flexure hinges.
  • FEA results showed an error within 11% compared to analytical predictions.
  • Experimental results demonstrated an error within 6% compared to analytical predictions.

Conclusions:

  • The generalized conic flexure hinge model effectively unifies various profiles.
  • Analytical predictions show good agreement with FEA and experimental data.
  • This model provides a robust framework for designing flexure hinges in precision applications.