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Related Concept Videos

Stress Concentrations in Circular Shafts01:18

Stress Concentrations in Circular Shafts

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Consider the elastic torsion formula, which applies to a circular shaft with a consistent cross-section. This formula assumes that the shaft's ends are loaded with rigid plates firmly attached. However, in many cases, torques are applied to the shaft through mechanisms like flange couplings or gears, which are connected by keys inserted into keyways. This application method modifies the stress distribution near the point of torque application, causing it to deviate from the distributions...
224
Rolling Resistance: Problem Solving01:17

Rolling Resistance: Problem Solving

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Rolling resistance, also known as rolling friction, is the force that resists the motion of a rolling object, such as a wheel, tire, or ball, when it moves over a surface. It is caused by the deformation of the object and the surface in contact with each other, as well as other factors like internal friction, hysteresis, and energy losses within the materials. Rolling resistance opposes the object's motion, requiring additional energy to overcome it and maintain movement. In practical...
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Residual Stresses in Circular Shafts01:10

Residual Stresses in Circular Shafts

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In materials that exhibit elastic and plastic behavior, known as elastoplastic materials, residual stresses can accumulate when these materials experience plastic deformation. This deformation arises from either high levels of shearing stress or significant strains. Residual stresses are internal stresses that persist within a material after removing the external force causing deformation. This phenomenon is demonstrated when observing the behavior of a shaft under torque; notably, the...
218
Circular Shaft - Stresses in Linear Range01:13

Circular Shaft - Stresses in Linear Range

339
Consider a scenario where a circular shaft is subject to torque that remains within the boundaries of Hooke's Law, avoiding any permanent deformation. So, the formula for shearing strain is revisited. This formula is multiplied by the modulus of rigidity, and then Hooke's Law for the shearing stress and strain is applied. As a result, the equation for shearing stress in a shaft can be derived.
339
Residual Stresses in Bending01:18

Residual Stresses in Bending

227
In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
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Stresses in a Shaft01:18

Stresses in a Shaft

450
The shaft PQ is subjected to a twisting force when equal and opposite torques are applied on either side. A section that cuts perpendicular to the shaft's axis at any arbitrary point R is examined to understand this. When the free-body diagram of the QR segment is analyzed, it reveals the shearing forces exerted by the PR portion onto the QR segment as the shaft experiences twisting.
Applying equilibrium conditions to the QR segment establishes that the internal shearing forces within the...
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Rapid Manufacturing of Thin Soft Pneumatic Actuators and Robots
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Robust constrained tension control for high-precision roll-to-roll processes.

Zhiyi Chen1, Boning Qu2, Baoyang Jiang3

  • 1Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, 48109, USA.

ISA Transactions
|December 13, 2022
PubMed
Summary
This summary is machine-generated.

A new robust control method enhances tension tracking in roll-to-roll (R2R) systems. This linear parameter-varying model predictive control (LPV-MPC) improves product quality by addressing model uncertainties and system dynamics.

Keywords:
Model predictive control (MPC)Robust controlRoll-to-rollTension tracking

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Area of Science:

  • Engineering
  • Control Systems
  • Materials Science

Background:

  • Tension control is vital for product quality in roll-to-roll (R2R) manufacturing.
  • Existing tension controllers often struggle with disturbances from model uncertainties and system dynamics.
  • Improving tension tracking performance is crucial for advanced R2R applications like flexible thin film deposition.

Purpose of the Study:

  • To design a robust control scheme for enhanced tension tracking in R2R systems.
  • To address performance degradation caused by model uncertainties and time-varying dynamics.
  • To incorporate motor torque constraints for improved controller reliability.

Main Methods:

  • A robust linear parameter-varying model predictive control (LPV-MPC) scheme was developed.
  • An incremental model was used to mitigate nominal model-actual system mismatch.
  • A tube-based MPC formulation with scheduled parameters adapted to time-varying dynamics.
  • Motor torque constraints were integrated into the MPC design.

Main Results:

  • The proposed LPV-MPC scheme demonstrated superior tension tracking performance compared to benchmarks.
  • The controller achieved fast transient response and offset-free tracking.
  • The control algorithm showed robustness against parametric uncertainties and time-varying dynamics.
  • Simulations confirmed the effectiveness of the control strategy on a pilot R2R system.

Conclusions:

  • The developed LPV-MPC offers a robust solution for tension control in R2R systems.
  • The method effectively handles model uncertainties and dynamic variations, enhancing product quality.
  • The integration of constraints ensures reliable operation and prevents machine failures.