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Olympics 2024: physicists are improving competitors' abilities

Paralympics : how to optimise jumping blades for long-jumper amputees

with Fabien Szmytka, Researcher at ENSTA Paris (IP Paris), Jean-François Semblat, Professor at at ENSTA Paris, Head of mechanics and energy department at IP Paris and Élodie Doyen, research engineer at ENSTA Paris (IP Paris)
On January 3rd, 2023 |
4 min reading time
Fabien Szmytka
Fabien Szmytka
Researcher at ENSTA Paris (IP Paris)
Jean François Semblat
Jean-François Semblat
Professor at at ENSTA Paris, Head of mechanics and energy department at IP Paris
Elodie Doyen
Élodie Doyen
research engineer at ENSTA Paris (IP Paris)
Key takeaways
  • In the context of the 2024 Olympic and Paralympic Games, studies are being conducted to improve the performance of tibial prostheses.
  • The Paralympic athletes concerned use spring-like jumping blades to replace the amputated limb.
  • The main challenge is to convert the athlete's kinetic energy into “momentum”, in order to jump as far as possible.
  • In addition to improving performance, the aim is also to improve the comfort of athletes by avoiding skin-prosthesis friction as much as possible.
  • The study of static and dynamic forces is put to use for the benefit of the human being, in order to advance the “augmented human”.

The 2024 Paris Olym­pic and Para­lym­pic Games are fast approa­ching. As part of the SCIENCES2024 pro­ject, we are wor­king to improve the per­for­mance of the tibial pros­theses used by cer­tain Para­lym­pians for the long jump. There are seve­ral cate­go­ries of ampu­tees – low or high leg ampu­ta­tion, both limbs or one limb – but we are focu­sing on uni­la­te­ral ampu­tees, i.e. those who have had one leg ampu­ta­ted below the knee.

Jumping further

The aim of our approach is to find solu­tions to opti­mise the res­ti­tu­tion of ener­gy at the cri­ti­cal moment of the jump : it is the very moment of the impulse that allows the ath­lete to pro­ject him­self for­ward. In uni­la­te­ral ampu­tees, the jum­ping blade – made of rigid but very slen­der car­bon – replaces the ampu­ta­ted limb and is like a large, almost per­fect spring.

The blade, which fits over the resi­dual limb, allows the ath­lete to take off by pres­sing on it and thus com­pres­sing it stron­gly at the moment of impulse. During a long jump, an ath­lete makes a long run-up : the fas­ter he or she runs, the more kine­tic ener­gy he or she stores, which is then “trans­for­med” into impulse during the final take-off. The main chal­lenge is to convert this kine­tic ener­gy, lin­ked to the speed of the run-up, into “impulse ener­gy” to enable the ath­lete to run as far as possible. 

The main chal­lenge is to convert the momen­tum into impulse ener­gy to allow the ath­lete to run as far as possible.

Cer­tain para­me­ters, such as an unsui­table jump angle, a poor body posi­tion or the athlete’s own move­ments during the jump, can dis­si­pate this pre­cious ener­gy. In addi­tion, fric­tion in the socket or shock to the ath­le­te’s body can lead to inju­ry – even if the ges­ture or pros­the­sis is desi­gned in the best pos­sible way for per­for­mance. We are the­re­fore loo­king at how to opti­mal­ly trans­fer this kine­tic ener­gy to the impulse in a length-effi­cient man­ner without cau­sing inju­ry that is detri­men­tal to performance. 

The sports ges­ture and the pros­the­sis are the­re­fore essen­tial for ener­gy conver­sion. To this end, we stu­dy the ener­gy accu­mu­la­ted in the blade so that the ath­lete can pro­ject as far as pos­sible. We are more inter­es­ted in per­for­mance in this part of our work, and we work with the tech­ni­cal direc­tor of the French Han­di­sport Fede­ra­tion who puts us in contact with the ath­letes and their trainers.

Improving comfort 

So, in addi­tion to impro­ving per­for­mance, we also seek to improve the com­fort of the ath­letes, to limit their fatigue and, of course, their inju­ries. The jum­ping blade is an appen­dage that allows them to jump, but it also creates vibra­tions and shocks when it hits the ground. These vibra­tions can cause fric­tion in the socket, lea­ding to dis­com­fort and even pain. We are loo­king to mea­sure these shocks through nume­ri­cal model­ling to ana­lyse their trans­mis­sion to the athlete’s body.

We will be able to unders­tand how the mate­rials making up the blade and the pros­the­sis can deform mecha­ni­cal­ly and reduce the shock.

We have set up expe­ri­men­tal pro­to­cols in the labo­ra­to­ry that will enable us to repro­duce the spor­ting ges­ture. With these, we will be able to unders­tand the ove­rall defor­ma­tion of the blade, under the effect of com­pres­sion, during the impulse, but above all we will be able to unders­tand how the mate­rials making up the blade and the pros­the­sis trans­mit the forces of the track to the ath­le­te’s body. In addi­tion, we will iden­ti­fy their role both in the res­ti­tu­tion of ener­gy and in the reduc­tion of the risk of inju­ry inherent in the practice.

To do this, we have deve­lo­ped nume­rous labo­ra­to­ry expe­ri­ments with various ins­tru­ments. High-speed came­ras and sen­sors allow us to ana­lyse dyna­mic phe­no­me­na in detail and to mea­sure efforts and wave trans­fer. These mea­su­re­ments allow us to move towards a glo­bal opti­mi­sa­tion of the blade-pros­the­sis system.

We are also wor­king on the deve­lop­ment of the mate­rials that make up the pros­the­sis and we are trying to find those that will give good ove­rall per­for­mance. These mate­rials are manu­fac­tu­red by 3D prin­ting, other­wise known as addi­tive manu­fac­tu­ring.

Understanding the forces 

To best ana­lyse the impact of mate­rials and ath­le­tic move­ment, we are loo­king at two sce­na­rios. In the first, when the ath­lete presses on the blade slow­ly enough, this causes a pro­gres­sive defor­ma­tion. In this case, the infor­ma­tion can be ana­ly­sed in a fair­ly simple way through a sta­tic labo­ra­to­ry test pro­to­col. Since the blade is made of a rigid but slen­der mate­rial, it deforms glo­bal­ly but also local­ly at the sole and at the point of contact with the resi­dual limb via the socket. We are the­re­fore stu­dying the local sta­tic defor­ma­tions, which allow us to unders­tand how ener­gy is dis­si­pa­ted, and the nature of the pres­sures on the ampu­ta­ted limb, which can lead to pos­sible injuries.

Second sce­na­rio : the speed of the load is pro­gres­si­ve­ly increa­sed to repro­duce the condi­tions of the athlete’s last impulse on the blade. Thanks to our obser­va­tions during the ath­le­te’s run and at the moment of his jump, we are able to mea­sure the defor­ma­tion speed of the blade and the sole. The trans­mis­sion of vibra­tions and shocks from the ground to the blade and then to the athlete’s limb is thus cha­rac­te­ri­sed by theo­re­ti­cal models. In this second sce­na­rio, it is also inter­es­ting to see the dyna­mic effects and forces that inter­act bet­ween the track, the blade, and the ath­lete. These forces vary rapid­ly at the moment of impulse and are repre­sen­ta­tive of the impact phe­no­me­na that often lead to injuries.

In the first sce­na­rio, sta­tic forces are at work ; in the second, dyna­mic or impulse forces are at work. These concepts are com­mon­ly used to stu­dy struc­tu­red mate­rials or meta­ma­te­rials in indus­try. We trans­pose them to the ser­vice of humans, to advance the field of “aug­men­ted human” or the future medal-win­ning athlete !

Isabelle Dumé

Réfé­rences

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