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Related Concept Videos

Mechanical Systems01:22

Mechanical Systems

901
Mechanical systems are analogous to to electrical networks where springs and masses play similar roles to inductors and capacitors, respectively. A viscous damper in mechanical systems functions similarly to a resistor in electrical networks, dissipating energy. The forces acting on a mass in such systems include an applied force in the direction of motion, counteracted by forces from the spring, a viscous damper, and the mass's acceleration. This interplay of forces is mathematically...
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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

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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.
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Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

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In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
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Shear and Bending Moment Diagram: Problem Solving01:24

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When analyzing a beam supporting concentrated loads and a distributed load, drawing the shear and bending moment diagrams is essential. These diagrams help understand the internal forces and moments acting on the beam, which is crucial for designing safe and efficient structures. Follow these steps to create the shear and bending moment diagrams:
Draw a Free-Body Diagram: Start by drawing a free-body diagram of the entire beam, including the concentrated loads, distributed load, and reaction...
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Statically Indeterminate Problem Solving01:16

Statically Indeterminate Problem Solving

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Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
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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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Related Experiment Video

Updated: May 3, 2026

Viscoelastic Characterization of Soft Tissue-Mimicking Gelatin Phantoms using Indentation and Magnetic Resonance Elastography
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Structural identifiability of viscoelastic mechanical systems.

Adam Mahdi1, Nicolette Meshkat1, Seth Sullivant1

  • 1Department of Mathematics, North Carolina State University, Raleigh, North Carolina, United States of America.

Plos One
|February 14, 2014
PubMed
Summary

This study simplifies structural identifiability analysis for viscoelastic models using spring-dashpot networks. Identifiability tables provide guidelines for building complex, identifiable models, aiding applications like cardiovascular research.

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Area of Science:

  • Mechanical Engineering
  • Systems Biology
  • Control Theory

Background:

  • Viscoelastic mechanical models are crucial for describing complex material behaviors.
  • Structural identifiability is essential for reliable model parameter estimation.
  • Spring-dashpot networks offer a versatile framework for modeling viscoelasticity.

Purpose of the Study:

  • To address local and global structural identifiability challenges in viscoelastic models.
  • To develop a straightforward method for assessing identifiability in spring-dashpot networks.
  • To provide a practical guideline for constructing identifiable complex mechanical models.

Main Methods:

  • Analysis of local and global structural identifiability.
  • Development of identifiability tables for spring-dashpot networks.
  • Illustrative examples and case studies.

Main Results:

  • A simple characterization of structural identifiability for viscoelastic models.
  • Identifiability tables as a tool for model design.
  • Demonstrated applicability to complex network structures.

Conclusions:

  • The proposed method simplifies the assessment and construction of identifiable viscoelastic models.
  • Identifiability tables serve as a valuable guideline for researchers.
  • The findings have direct implications for fields such as cardiovascular modeling.