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Related Concept Videos

Temperature Dependent Deformation01:12

Temperature Dependent Deformation

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In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
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Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

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As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
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Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

294
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
294
Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

188
When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
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Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

251
Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
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Continuous -time Fourier Transform01:11

Continuous -time Fourier Transform

348
The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
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Related Experiment Video

Updated: Jul 21, 2025

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
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Wavelet-Based Multiscale Intermittency Analysis: The Effect of Deformation.

José M Angulo1, Ana E Madrid1

  • 1Department of Statistics and Operations Research, University of Granada, 18071 Granada, Spain.

Entropy (Basel, Switzerland)
|July 29, 2023
PubMed
Summary
This summary is machine-generated.

This study investigates how signal deformation impacts intermittency analysis using wavelets. Findings reveal deformation significantly alters energy transfer and intermittency indicators, crucial for understanding system dynamics and risk.

Keywords:
complexitydeformationenergy transferentropyintermittencywavelets

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Area of Science:

  • Complex Systems Analysis
  • Signal Processing
  • Geophysics

Background:

  • Intermittency, a heterogeneous behavior, is key for characterizing system dynamics and risk assessment.
  • Wavelet analysis is a powerful tool for studying intermittency due to its location-scale-dependent nature.
  • Signal deformation can introduce complex structural changes affecting intermittency.

Purpose of the Study:

  • To investigate the effect of signal deformation on intermittency.
  • To analyze the interscale energy transfer and its impact on wavelet-based intermittency indicators.
  • To evaluate deformation's influence on energy distribution using entropy and complexity measures.

Main Methods:

  • Wavelet-based technical analysis of intermittency.
  • Analysis of interscale energy transfer mechanisms.
  • Application of generalized entropy and complexity measures.
  • Simulations and analysis of real seismic data segments.

Main Results:

  • Signal deformation significantly alters intermittency indicators.
  • The nature of the physical magnitude ('level' vs. 'flow') influences the effect of deformation.
  • Deformation impacts the interscale distribution of energy, affecting entropy and complexity.

Conclusions:

  • Deformation is a critical factor to consider in wavelet-based intermittency analysis.
  • Understanding deformation effects is essential for accurate system dynamics characterization and risk assessment.
  • The study provides insights into signal behavior under deformation, with implications for fields like seismology.