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Related Concept Videos

Stresses under Combined Loadings01:23

Stresses under Combined Loadings

146
When analyzing a bent tube with a circular cross-section subjected to multiple forces, it is crucial to determine the stress distribution in order to maintain structural integrity under varied load conditions.
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
146
Unsymmetric Loading of Thin-Walled Members01:23

Unsymmetric Loading of Thin-Walled Members

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Thin-walled members with non-symmetrical cross-sections are vital to engineering structures, offering material efficiency and structural integrity. However, unsymmetrical loading on these members leads to complex stress distributions, resulting in simultaneous bending and twisting can cause deformation or structural failure. The interaction between bending and twisting requires detailed analysis to ensure structural resilience.
The concept of the shear center is crucial in countering the...
101
Yield Criteria for Ductile Materials under Plane Stress01:25

Yield Criteria for Ductile Materials under Plane Stress

156
In designing structural elements and machine parts using ductile materials, it is crucial to ensure that these components withstand applied stresses without yielding. Yielding is initially determined through a tensile test, which evaluates the material's response to uniaxial stress. However, tensile stress is insufficient when components face biaxial or plane stress conditions This condition requires advanced criteria to predict failure.
The Maximum Shearing Stress Criterion, also known as...
156
Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

94
The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
94
Design of Columns under a Centric Load01:17

Design of Columns under a Centric Load

104
The design of columns under centric load is a fundamental aspect of structural engineering and is critical for ensuring the stability and integrity of structures. Euler's and Secant's formulas are central to understanding and calculating the critical load and deformation behaviors of columns, providing a basis for safe and effective structural design.
Euler's formula is applicable under the assumption that the column is a perfect, straight, homogenous prism, and it is operating...
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Euler's Formula for Pin-Ended Columns01:21

Euler's Formula for Pin-Ended Columns

295
In structural engineering, the stability of columns under compressive axial loads is a critical consideration, described as buckling. A typical example involves a column PQ, which is pin-connected at both ends and subjected to a centric axial load F applied at one end, with a reaction force of F' = -F at the other end. Here, it is crucial to understand that when an applied load exceeds the critical load, buckling occurs as the system becomes unstable.
To calculate the critical load,...
295

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Related Experiment Video

Updated: Jun 12, 2025

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
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A machine learning-based crashworthiness optimization for a novel pine cone-inspired multi-cell tubes under bending.

Rui Liang1, Xuebang Tang2, Jie Huang3,4

  • 1School of Automobile Engineering, Guilin University of Aerospace Technology, Guilin, 541004, China.

Heliyon
|September 26, 2024
PubMed
Summary

Pine cone-inspired multi-celled tubes (PCMTs) show enhanced crashworthiness. Machine learning optimization significantly boosts energy absorption and structural performance for vehicle safety applications.

Keywords:
BionicCrashworthinessMachine learningMulti-celled tubePine cone

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Area of Science:

  • Vehicle engineering
  • Materials science
  • Computational mechanics

Background:

  • Bionic tubes offer superior crashworthiness potential in vehicle engineering.
  • Pine cone-inspired multi-celled tubes (PCMTs) are investigated for their structural performance.

Purpose of the Study:

  • To investigate the crashworthiness response of PCMTs.
  • To perform multi-objective optimization of PCMTs using machine learning.

Main Methods:

  • Correlation of a base PCMT model with existing experiments.
  • Dynamic response evaluation of various PCMT configurations.
  • Construction of surrogate models using machine learning algorithms.
  • Multi-objective optimization using a non-dominated sorting genetic algorithm II (NSGA-II).

Main Results:

  • Thickness variation significantly impacts initial peak force (IPF) and mean crushing force (MCF).
  • Optimal PCMT design shows substantial increases in IPF (36.82%), MCF (61.66%), and specific energy absorption (SEA) (72.95%) compared to the sum case.
  • Embedding inner tubes enhances energy absorption with minimal IPF increase.
  • Optimal designs achieved an 18.01% difference in MCF and 5.91% in SEA compared to original tubes.

Conclusions:

  • PCMTs demonstrate significant potential as effective energy absorption structures in vehicle bodies.
  • Machine learning-driven optimization is crucial for maximizing the crashworthiness of bionic structures.
  • The study highlights the benefits of bio-inspired designs for advanced automotive safety systems.