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Related Concept Videos

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...
Bending01:10

Bending

Pure bending is a fundamental concept in structural mechanics, essential for understanding how materials deform under symmetrical loads without direct forces. Pure bending occurs when prismatic members, such as beams, are subjected to equal and opposite moments that induce bending. The phenomenon is crucial as it allows for predicting stress distributions without the influence of axial or shear forces.
In pure bending, the bending stress in a beam is calculated based on the bending moment and...
Unsymmetric Bending01:18

Unsymmetric Bending

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 those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The orientation 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...
Singularity Functions for Bending Moment01:18

Singularity Functions for Bending Moment

Singularity functions simplify the representation of bending moments in beams subjected to discontinuous loading, allowing the use of a single mathematical expression. For a supported beam AB, with uniform loading from its midpoint M to the right side end B, the approach involves conceptual 'cuts' at specific points to determine the bending moment in each segment. By cutting the beam at a point between A and M, the bending moment for the segment before reaching midpoint M is represented using a...

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Bender-bimorph scanner analysis.

J J Shaffer, D L Fried

    Applied Optics
    |January 16, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study analyzes the piezoelectric bender-bimorph beam steerer, an optical device for precise light beam control. Theoretical analysis and experimental data confirm performance predictions for resonant frequency and deflection.

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    Area of Science:

    • Optics and Photonics
    • Materials Science
    • Mechanical Engineering

    Background:

    • Piezoelectric actuators are crucial for precise optical control.
    • Bender-bimorph devices offer a compact solution for beam steering applications.
    • Understanding performance trade-offs is essential for optimizing optical systems.

    Purpose of the Study:

    • To theoretically analyze the performance of a bender-bimorph beam steerer.
    • To derive expressions for resonant frequency and deflection.
    • To validate theoretical models with experimental data.

    Main Methods:

    • Developed a theoretical model for bender-bimorph operation.
    • Derived mathematical expressions for resonant frequency and deflection.
    • Conducted experiments to measure resonant frequency and deflection using a beryllium mirror.

    Main Results:

    • Theoretical expressions for loaded bimorph resonant frequency and deflection were derived.
    • Graphs illustrating performance variations with different parameters were generated.
    • Experimental results closely matched theoretical predictions, validating the model.

    Conclusions:

    • The theoretical analysis accurately predicts the performance of bender-bimorph beam steerers.
    • Optimization involves balancing mirror diameter, scan amplitude, and control bandwidth.
    • This device provides precise optical beam pointing with a significant control bandwidth.