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Hydraulic Jump: Problem Solving01:16

Hydraulic Jump: Problem Solving

To analyze a hydraulic jump in a rectangular channel with a flow speed of 6 meters per second, follow these steps:Calculate Effective Upstream Velocity:When the downstream gate closes, a hydraulic jump forms, traveling upstream at 2 meters per second. This wave speed combines with the initial channel flow velocity, creating an effective upstream velocity.Identify Flow Velocities Before and After the Hydraulic Jump:Upstream of the hydraulic jump, the effective flow velocity includes both the...
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Related Experiment Video

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Importance of Jumping Ability in Handball Throwing Speed and Accuracy
02:43

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Published on: April 4, 2025

A simple strategy for jumping straight up.

Hooshang Hemami1, Bostwick F Wyman

  • 1Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH 43210, USA. hemami.1@osu.edu

Mathematical Biosciences
|March 22, 2012
PubMed
Summary

This study models the biomechanics of jumping, analyzing the transition from ground contact to free flight. Computer simulations demonstrate a control strategy for achieving a successful jump in humans and robots.

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Area of Science:

  • Robotics and Biomechanics
  • Human and Robot Locomotion

Background:

  • Jumping involves a complex transition from constrained, ground-based motion to unconstrained, aerial motion.
  • Understanding this transition is crucial for advancements in humanoid robotics and human performance analysis.

Purpose of the Study:

  • To develop a dynamic model for analyzing the mechanics of a simple jump.
  • To investigate the application of this model to a four-link, three-dimensional system representing humanoids.
  • To formulate and assess a control strategy for executing a jump.

Main Methods:

  • Expanded rigid body dynamics to model the jump transition.
  • Applied the formulation to a four-link, three-dimensional system.
  • Incorporated muscular system activity, focusing on major sagittal muscle groups.
  • Developed a control strategy using state feedback and central feedforward signals.
  • Utilized computer simulations to validate the model and control strategy.

Main Results:

  • The study successfully formulated the dynamics of jumping for a multi-link system.
  • Demonstrated the role of key muscle groups in generating propulsive forces.
  • Computer simulations confirmed the feasibility of the proposed control strategy for executing jumps.
  • The model effectively articulates the ballistic motion during the jump phase.

Conclusions:

  • The presented dynamic formulation and control strategy are feasible for modeling and executing jumps.
  • This research provides a foundational framework for developing advanced jumping capabilities in robots and humanoids.
  • Further research can build upon this model to explore more complex jumping maneuvers and optimize performance.