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Bending of Curved Members - Strain Analysis

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.
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Related Experiment Video

Updated: Jan 11, 2026

Microfluidic Fabrication of Polymeric and Biohybrid Fibers with Predesigned Size and Shape

Microfluidic Fabrication of Polymeric and Biohybrid Fibers with Predesigned Size and Shape

Published on: January 8, 2014

Cladding shape fitting model for multi-core fibers using a Lamé curve.

Shota Kajikawa, Takuya Oda, Katsuhiro Takenaga

|November 11, 2025

Summary

This summary is machine-generated.

We introduce a new Lamé curve fitting technique to accurately model multi-core fiber (MCF) cladding shapes. This method significantly improves geometric accuracy for MCF standardization and alignment precision.

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Last Updated: Jan 11, 2026

Microfluidic Fabrication of Polymeric and Biohybrid Fibers with Predesigned Size and Shape

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Published on: January 8, 2014

Finite Element Modelling of a Cellular Electric Microenvironment

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Published on: May 18, 2021

Writing Bragg Gratings in Multicore Fibers

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Published on: April 20, 2016

Area of Science:

Optics and Photonics
Materials Science
Fiber Optics

Background:

Accurate modeling of multi-core fiber (MCF) cross-sections is crucial for standardization and performance.
Conventional ellipse fitting methods struggle to accurately represent non-circular cladding shapes common in MCFs.

Purpose of the Study:

To propose and evaluate a novel measurement technique for modeling MCF cladding using a generalized ellipse (Lamé curve).
To demonstrate the improved geometric accuracy of Lamé curve fitting compared to conventional ellipse fitting for non-circular claddings.

Main Methods:

Developed a measurement technique utilizing Lamé curve fitting to model MCF cladding cross-sections.
Applied the Lamé curve model to analyze cross-sectional images of various MCFs.
Quantitatively evaluated the fitting accuracy by comparing root mean square residuals.

Main Results:

The Lamé curve model effectively reproduces square-like non-circular claddings.
Lamé fitting reduced the root mean square residual by 39.6% compared to conventional ellipse fitting.
Demonstrated enhanced geometric accuracy in modeling MCF cladding.

Conclusions:

Lamé curve fitting offers a significant improvement in modeling non-circular MCF claddings.
This technique is valuable for MCF standardization, defining cladding non-circularity, and center location.
Enhanced alignment precision in practical connector and splice applications is achievable with this method.