Bungee jumping cord design using a simple model

Kockelman, J. W.; Hubbard, Mont

doi:10.1007/bf02915920

Cited by 4 publications

(3 citation statements)

References 6 publications

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“…According to [21], the relationship between the applied force on the bungee cord and the length of the cord can be represented using generic stress-strain equations:…”

Section: Model Of the Bungee Cordmentioning

confidence: 99%

Improved Energy Efficiency via Parallel Elastic Elements for the Straight-Legged Vertically-Compliant Robot SLIDER

Wang

Saputra

Foster

et al. 2021

Robotics for Sustainable Future

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Most state-of-the-art bipedal robots are designed to be anthropomorphic, and therefore possess articulated legs with knees. Whilst this facilitates smoother, human-like locomotion, there are implementation issues that make walking with straight legs difficult. Many robots have to move with a constant bend in the legs to avoid a singularity occurring at the knee joints. The actuators must constantly work to maintain this stance, which can result in the negation of energy-saving techniques employed. Furthermore, vertical compliance disappears when the leg is straight and the robot undergoes high-energy loss events such as impacts from running and jumping, as the impact force travels through the fully extended joints to the hips. In this paper, we attempt to improve energy efficiency in a simple yet effective way: attaching bungee cords as elastic elements in parallel to the legs of a novel, knee-less biped robot SLIDER, and show that the robot's prismatic hip joints preserve vertical compliance despite the legs being constantly straight. Due to the nonlinear dynamics of the bungee cords and various sources of friction, Bayesian Optimization is utilized to find the optimals configuration of bungee cords that achieves the largest reduction in energy consumption. The optimal solution found saves 15% of the energy consumption compared to the robot configuration without parallel elastic elements.

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“…According to [21], the relationship between the applied force on the bungee cord and the length of the cord can be represented using generic stress-strain equations:…”

Section: Model Of the Bungee Cordmentioning

confidence: 99%

Improved Energy Efficiency via Parallel Elastic Elements for the Straight-Legged Vertically-Compliant Robot SLIDER

Wang

Saputra

Foster

et al. 2021

Robotics for Sustainable Future

View full text Add to dashboard Cite

show abstract

“…and 'How am I sure that the g-forces are kept low enough that bungee jumping does not hurt?' A simple energy model of a bungee jump can be used to generate strain guidelines and practical design equations for the sizing of an all-rubber bungee rope [3]. In many studies (e.g., [1,[4][5][6]), the motion is considered one dimensional, the rope is modelled as a massless elastic, the jumper is replaced by a point mass, aerodynamic effects are ignored, and the stress-strain curve of the rope is assumed linear (i.e., Hooke's law applies).…”

Section: The Thrilling Physics Of Bungee Jumpingmentioning

confidence: 99%

“…) It is noted that Pasveer and de Muynck [18] erroneously used v obj = v. Substitution of equations ( 5) and ( 6) into equation (3) gives…”

Section: A Detailed Mathematical Modelmentioning

confidence: 99%