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Static Friction01:18

Static Friction

746
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...
746
Static and Kinetic Frictional Force01:05

Static and Kinetic Frictional Force

15.7K
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...
15.7K
Types of Friction Problems01:27

Types of Friction Problems

524
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....
524
Frictional Force01:07

Frictional Force

7.9K
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...
7.9K
Characteristics of Dry Friction01:21

Characteristics of Dry Friction

529
Dry friction occurs when two solid surfaces slide against each other without any lubrication or fluid present. It causes resistance when pushing objects along a surface, like a gardener pushing a wheelbarrow. The force applied to move the cart causes dry friction between the wheel and the ground.
Before the wheelbarrow starts moving, the static frictional force acts tangentially to the contact surface, opposing the force that is about to induce the motion. This frictional force prevents the...
529
Kinetic Friction01:26

Kinetic Friction

917
Consider a truck trying to pull a stationary car. As the truck exerts a force on the car, static friction is created at the point of contact between the two surfaces. This frictional force resists the car's movement and keeps it at rest. However, when the applied force by the truck surpasses the limiting static frictional force, an interesting phenomenon occurs. The frictional force at the interface reduces to a lower value, known as the kinetic frictional force. At this point, the car...
917

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Manufacturing, Control, and Performance Evaluation of a Gecko-Inspired Soft Robot
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Implicit Frictional Dynamics With Soft Constraints.

Egor Larionov, Andreas Longva, Uri M Ascher

    IEEE Transactions on Visualization and Computer Graphics
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    Summary
    This summary is machine-generated.

    Lagged friction models in dynamics simulation can be inaccurate near the stick-slip threshold due to force lagging, not smoothing. This study evaluates lagged vs. implicit friction, offering improvements for accurate simulations.

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    Area of Science:

    • Computational physics
    • Mechanical engineering
    • Computer graphics

    Background:

    • Dynamics simulation with frictional contacts is crucial for applications like cloth simulation and object manipulation.
    • Recent methods utilize smoothed lagged friction forces for robust and differentiable elastodynamics simulation.
    • However, existing lagged friction models can exhibit inaccuracies and fail to converge to analytic solutions.

    Purpose of the Study:

    • To evaluate the accuracy of lagged friction models compared to implicit frictional contact systems.
    • To identify the primary causes of inaccuracies in simulating frictional behavior, particularly near the stick-slip threshold.
    • To propose and demonstrate improvements for accurate and robust dynamics simulation with friction.

    Main Methods:

    • Comparative analysis of lagged friction models against implicit frictional contact systems.
    • Investigation of inaccuracies near the stick-slip threshold.
    • Application of higher-order time integration methods to implicit and lagged friction systems.
    • Utilization of forward-mode automatic differentiation to enhance the inexact Newton method.

    Main Results:

    • Major inaccuracies in lagged friction models near the stick-slip threshold stem from force lagging, not from smoothing the Coulomb friction curve.
    • Correct usage of implicit or lagged friction systems with higher-order time integration is demonstrated, addressing limitations of previous methods.
    • Forward-mode automatic differentiation simplifies and potentially improves the performance of the inexact Newton method.
    • Complex phenomena, including stick-slip behavior and volume preservation in compressible media, are simulated effectively.

    Conclusions:

    • Lagged friction models require careful implementation to avoid inaccuracies, especially near critical transitions like stick-slip.
    • The proposed methods enhance the accuracy and robustness of dynamics simulation with friction.
    • The study provides a foundation for more reliable and versatile frictional contact simulations in various scientific and engineering domains.