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Related Concept Videos

Types of Friction Problems01:27

Types of Friction Problems

1.0K
Friction is an essential concept in physics, engineering, and everyday life. It is the force that opposes the relative motion or tendency of such motion between two surfaces in contact. One of the most common types of friction encountered in various applications is dry friction. Dry friction problems can be broadly categorized into three types, each with unique characteristics and challenges.
The first type of dry friction problem involves situations where there is no apparent impending motion....
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Static Friction01:18

Static Friction

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Static friction is a force that opposes the relative motion or tendency of motion between two surfaces in contact. It plays a crucial role in our daily lives, from walking on the ground to driving a car.
For example, consider a scenario where a truck is connected to a car by a rope, ready to tow it along a road. When no external force is applied by the truck, the car remains stationary and is said to be in static equilibrium. In this case, the forces acting on the car, such as gravity and the...
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Static and Kinetic Frictional Force01:05

Static and Kinetic Frictional Force

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One of the simpler characteristics of sliding friction is that it is parallel to the contact surfaces between systems, and is always in a direction that opposes the motion or attempted motion of the systems relative to each other. If two systems are in contact and moving relative to one another, then the friction between them is called kinetic friction. For example, kinetic friction slows a hockey puck sliding on ice.
However, if two systems are in contact and are stationary relative to one...
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Dry Friction01:30

Dry Friction

1.1K
Dry friction occurs between two solid surfaces in contact as they attempt to move relative to one another. In daily life, dry friction is encountered in various forms, such as when walking on the ground, sliding an object across a table, or rubbing hands together. Despite its ubiquity, the underlying mechanisms behind dry friction are not readily visible.
To illustrate this concept, imagine a wooden crate resting on a rough, non-uniform horizontal surface. When an external force is applied to...
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Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

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Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
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Frictional Force01:07

Frictional Force

10.7K
When a body is in motion, it encounters resistance because the body interacts with its surroundings. This resistance is known as friction, a common yet complex force whose behavior is still not completely understood. Friction opposes relative motion between systems in contact, but also allows us to move. Friction arises in part due to the roughness of surfaces in contact. For one object to move along a surface, it must rise to where the peaks of the surface can skip along the bottom of the...
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Knowledge Based Cloud FE Simulation of Sheet Metal Forming Processes
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A two-state hysteresis model from high-dimensional friction.

Saurabh Biswas1, Anindya Chatterjee1

  • 1Department of Mechanical Engineering , IIT Kanpur , Kanpur, Uttar Pradesh, India.

Royal Society Open Science
|November 21, 2015
PubMed
Summary

A new two-state hysteresis model simplifies complex frictional systems, reducing parameters and improving numerical solutions for practical applications.

Keywords:
Iwan modelhysteresisminor loopsmodel reductionparameter fitting

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Area of Science:

  • Physics
  • Materials Science
  • Mechanical Engineering

Background:

  • Previous research developed a six-state hysteresis model for high-dimensional frictional systems.
  • The current study builds upon prior work by simplifying the underlying frictional system.

Purpose of the Study:

  • To present a new, more intuitive two-state hysteresis model.
  • To reduce the complexity and number of parameters in hysteresis modeling.
  • To provide a practically implementable model with an efficient numerical solution.

Main Methods:

  • Utilized a frictional system analogous to one studied by Iwan.
  • Employed basis functions with simple analytical descriptions.
  • Developed an explicit and accelerated numerical solution method.
  • Demonstrated parameter fitting for specific hysteresis loops.

Main Results:

  • Reduced the required number of states from six to two.
  • Decreased the number of fitted parameters by an order of magnitude (to six).
  • Achieved a faster numerical solution compared to previous methods.

Conclusions:

  • A novel two-state hysteresis model is presented, offering significant simplification.
  • The model is ready for practical implementation in various applications.
  • Provided essential Matlab code to facilitate model usage.