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Related Concept Videos

Stability01:28

Stability

497
The time response of a linear time-invariant (LTI) system can be divided into transient and steady-state responses. The transient response represents the system's initial reaction to a change in input and diminishes to zero over time. In contrast, the steady-state response is the behavior that persists after the transient effects have faded.
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
497
Rigid Body Equilibrium Problems - II01:21

Rigid Body Equilibrium Problems - II

6.4K
A rigid body is in static equilibrium when the net force and the net torque acting on the system are equal to zero.
Consider two children sitting on a seesaw, which has negligible mass. The first child has a mass (m1) of 26 kg and sits at point A, which is 1.6 meters (r1) from the pivot point B; the second child has a mass (m2) of 32 kg and sits at point C. How far from the pivot point B should the second child sit (r2) to balance the seesaw?
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Stability of structures01:14

Stability of structures

657
In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
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Two-Dimensional Force System01:20

Two-Dimensional Force System

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A two-dimensional system in mechanical engineering involves the analysis of motion and forces in a plane. A two-dimensional force vector can be resolved into its components as:
1.9K
Three-Dimensional Force System01:30

Three-Dimensional Force System

3.2K
In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...
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Rigid Body Equilibrium Problems - I00:49

Rigid Body Equilibrium Problems - I

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A rigid body is said to be in static equilibrium when the net force and the net torque acting on the system is equal to zero. To solve for rigid body equilibrium problems, do the following steps.
4.2K

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A control scheme for stable force-reflecting teleoperation over IP networks.

IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics : a publication of the IEEE Systems, Man, and Cybernetics Society·2006
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Updated: Apr 23, 2026

Haptic/Graphic Rehabilitation: Integrating a Robot into a Virtual Environment Library and Applying it to Stroke Therapy
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L2 -stability of haptic systems with projection-based force reflection.

Ilia G Polushin, Mir Zayed Hasan

    IEEE Transactions on Haptics
    |September 24, 2014
    PubMed
    Summary

    This study enhances haptic interaction stability using projection-based force reflection. It introduces a design parameter to increase virtual wall stiffness and decrease update rates without affecting haptic device damping.

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    Area of Science:

    • Robotics
    • Human-Computer Interaction
    • Virtual Reality

    Background:

    • Haptic interaction stability is crucial for realistic virtual object engagement.
    • Existing force reflection methods face limitations in handling stiffness and update rates.

    Purpose of the Study:

    • To address the stability challenges in haptic interaction with virtual objects.
    • To generalize stability conditions for projection-based force reflection.

    Main Methods:

    • Derivation of a generalized stability condition for projection-based force reflection.
    • Analysis of system passivity through interconnection of generalized passive systems.

    Main Results:

    • A novel stability condition is derived, extending previous findings.
    • An additional design parameter allows for increased virtual wall stiffness and reduced update rates.
    • The projection-based method enables arbitrary increases in haptic device passivity without altering physical damping.

    Conclusions:

    • Projection-based force reflection offers enhanced control over haptic interaction stability.
    • This approach provides greater flexibility in designing virtual environments with improved user experience.
    • The findings contribute to more robust and versatile haptic feedback systems.