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Diseño y fabricación de una máquina lanzadora de pelotas de tenis de campo

Design a= nd manufacture of a tennis ball launcher machine

3D"Interfaz
&= nbsp;


= 1=

Adrian= a Paola Noguera Cundar

 <= /span>

https://orcid.org/0000-0001-8399-8192

Máster en Ciencias en Ingeniería Mecánica, Universi= ty of Saskatchewan, Saskatoon, Canadá.

apn252@usask.ca=

2

Edwin Fernando Viteri Núñez

<= ![endif]>=

https://orcid.org/0000-0003-3029-775X

=  =

Doctor en Ciencias Administrativas, Universidad Nacional Mayor De San Marcos, Li= ma, Perú.

eviteri= @espoch.edu.ec

= 3<= /p>

Andrés Joao Noguera Cundar<= o:p>

 

https://orcid.org/0000-0001-6763-9288

=  =

<= /span>Máster Universitario en Ingeniería Mecánica, Universidad Politécnica de Madrid, Madrid, España. <= o:p>

= andres.noguera@espoch.edu.ec

= 4<= /p>

Jaime Sebastián Cárdenas Chávez

 

https://orcid.org/0000-0002-8793-9920

 <= /span>

<= /span>Máster en Ciencias en Ingeniería Eléctrica, University of Saskatchewan, Saskatoon= , Canadá.

jsc494@usask.= ca=

=  

 

 

Art= ículo de Investigación Científica y Tecnológica

Env= iado: 17/09/2022

Rev= isado: 19/10/2022

Ace= ptado: 15/11/2022

Pub= licado:17/12/2022

DOI: https://doi.org/10.33262/concienciadigital.v5i4.1.2468     

 

 

 

Cítese:

 

 

Noguera Cundar, A. P., Viteri Núñez, E. F., Noguera Cundar, A. J., & Cárdenas Chávez, J. S. (2022). Diseño y fabricación de una máquina lanzadora de pelotas de tenis= de campo. ConcienciaDigital, 5(4.1), 286-301. https://d= oi.org/10.33262/concienciadigital.v5i4.1.2468

 

 

3Deditorial1.png

 

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La revista es editada por la Editorial Ciencia Digital (Editorial de prestigio registrada en la Cámara Ecuatoriana de Libro con No de Afiliaci= ón 663) www.celibro.org.ec<= /o:p>

 

 

 

Esta revista está protegida bajo una licencia Creative Commons Attribution Non Commercial No Derivatives 4.0 International. Copia de la licencia: http://creativecommons.org/licenses/by-nc-nd/= 4.0/.

 

Palabras claves:

Máquina lanza= dora de pelotas de tenis, rotación, ruedas, slice, top spin, flat spin.

 

 

Resumen

Introducción: Se diseñó y fabricó una máquina prototipo de lanzamiento de pelo= tas de tenis de campo mediante el uso de ruedas giratorias y movimiento verti= cal controlado para un sistema de entrenamiento programado. Ob= jetivos: Fabricar una máquina lanzadora de pelota= s de tenis de campo, realizando pruebas de funcionalidad, verificando tipos de lanzamiento y velocidad de la pelota para asegurar su correcto funcionami= ento. Metodología: El cumplimiento de los objetivos se sustentó en: método de revis= ión bibliográfica; método dialéctico, para tener un manejo de la información y método histórico, debido a que se utilizó fuentes anteriores que ayudaron= a encontrar las principales características de este tipo de máquinas existe= ntes en el mercado internacional. Resultados: Se obtuvo una máquina provista de ruedas que, al girar con una velocidad de 2750 rpm, consiguen transmitirle suficiente energía cinética= a la pelota de tenis logrando el disparo con tres efectos de lanzamiento: Slice, Top Spin y Flat Spin, similar a un jugador promedio. Se alcanzó una velocidad lineal promedio de expulsión de la pelota de 59,38 km/h. Co= nclusiones: En las pruebas de funcionalidad mostraron una precisión de la máquina lanzadora de pelotas de tenis de un 93% con respecto al posicionamiento, además las pelotas cayeron en un diámetro má= ximo de 20 cm con relación a la posición final deseada.

 

 

Keywords:

Ten= nis ball launcher, rotating wheels, Slide, Top Spin and Flat Spin

 

 

Abstract

In= troduction: = This study designed and manufactured a field tennis ball launching machine usi= ng rotating wheels and controlled vertical movement for a scheduled training system. Ob= jectives:<= span style=3D'mso-spacerun:yes'>  To manufacture a tennis ball launcher= by conducting functionality tests and verifying ball effects and speed to en= sure its correct operation. Me= thodology: = The researcher performed a literature review and the dialectical method to ma= nage information to achieve the study objectives. In addition, the historical method was also used because previous sources were crucial to finding the main characteristics of tennis ball launchers existing in the internation= al market. Re= sults: = It was obtained a machine with rotating wheels with a speed of 2750 rpm, cap= able of transmitting enough kinetic energy to the tennis ball, achieving diffe= rent shots with three launching effects: Slice, Top Spin, and Flat Spin, simil= ar to an average player. Also, the ball reached an average expulsion linear velocity of 59,38 km/h.= Conclusion: = The tennis ball launching machine functionality tests showed a 93% of accuracy regarding positioning; in addition, balls fall in a maximum diameter of 2= 0 cm concerning the desired final position.

 <= /p>

 

=  

=  

Introducción

La evidencia histórica sobre el diseño, fabricació= n de maquinaria apropiada para facilitar la práctica del tenis se remonta al año 1978.  Jack Scott patentó = la primera máquina lanzadora de pelotas de tenis. Su principal característica era la capacidad de controlar los lanzamientos con varias velocidades, giros y dirección logran= do simular las condiciones que se producen en un juego verdadero. La pelota pa= sa por el medio de dos ruedas y de este modo es arrojada. (Scott, 1978)

En 1983, Gilbert A. Stokes propuso una máquina de lanzar pelotas de tenis que usaba un nuevo sistema. = El principio de funcionamiento de este diseño consiste en que las pelotas se encuentran dentro de un ducto de sección circular y son arrojadas por un cilindro neumático.  Las direccione= s y velocidades de la pelota varían en función de la disposición angular del du= cto. (Stokes, 1986).

La investigación realizada por Paulson Kerry en el= año 2000, presenta una máquina lanzadora de pelotas que incluye un par de ruedas rotatorias de un elastómero sintético. Se encuentran instalados un par de motores eléctricos, cada uno de estos están acoplados a cada rueda. Este mecanismo hace uso de las baterías como fuente de energía para que los moto= res eléctricos funcionen. (Kerry, 2004)

El estudio llevado a cabo  en Junio de 2013 por la Facultad de Ingeniería Mecánica en la Universidad Técnica de Malasia, Design And Fabrication Of Thrower Mechanism For Tennis Ball Machine presentado por Kha= irul Amzar Bin Mohd Kassim como requisito para obtener el título de Ingeniero Mecánico  (Amzar, 2013) ayuda a la comprensión del cambio de energía cinética rotacional a lineal p= ara la elaboración de la presente Máquina Prototipo de Entrenamiento para Tenis= de Campo.

Los avances hechos en los contextos mencionados anteriormente contrastan con el entorno del Ecuador pues en el país no se conoce de desarrollos de esta índole ya sea a nivel de diseño o de fabricación.  Debido a este requeri= miento se necesita de la ayuda de la ingeniería mecánica a nivel de diseño y manufactura. (Noguera, 2016)

 

Objetivo General

Diseñar y fabricar una máquina prototipo de lanzam= iento de pelotas de tenis de campo mediante el uso de ruedas giratorias para un sistema de entrenamiento programado.

Objetivos Específicos

Realizar el estudio bibliográfico relevante acerca= del diseño y construcción de máquinas lanzadoras de pelotas de tenis.

Desarrollar una máquina lanzadora de pelotas de te= nis de campo con un sistema amigable con el usuario y transportable.

Realizar pruebas de funcionalidad de la máquina lanzadora de tenis y verificar los tipos de lanzamientos y la velocidad de = la pelota asegurando su correcto funcionamiento.

Marco Teórico

Revisión de Patentes

La United States Patent es la oficina de registro = de patentes de los Estados Unidos, misma que contiene una gran variedad de patentes de máquinas lanzadoras de pelotas, no solo de tenis de campo sino también de tenis de mesa, de pelotas de fútbol y de béisbol que cuentan con sistemas para facilitar el entrenamiento de los distintos deportes. A continuación, se exponen los más relevantes:

Máquina lanzadora de Béisbol=

Este mecanismo fue diseñado y construido con el fi= n de reducir el costo de otras máquinas lanzadoras de pelotas, utiliza un resorte que está sujeto en un par de brazos fijos. La pelota es colocada en el medio del tensor cuando este se encuentra estirado y dependiendo de cuán tenso es= té, la pelota adquirirá la fuerza y la distancia esperada. El sistema está mont= ado sobre una base móvil que es accionada por motores y la transmisión de movimiento se logra mediante un conjunto de cables y poleas con lo que se l= ogra la posición deseada de la pelota, facilitando la práctica de bateo como se presenta en la figura 1.

 

 

 

 

 

Figura 1

Lanzadora de pelotas con dos discos rotativos tomado de (PANKRATZ, 1966)

Lanzadora de pelotas con dos discos rotativos=

El principio de funcionamiento de este prototipo se basa en dos di= scos rotatorios que giran a máxima velocidad, las pelotas caen al espacio que ex= iste en medio de los dos discos, los cuales ejercen presión a la pelota. Debido = a la fricción ejercida entre la pelota y la superficie de las ruedas, durante el contacto la pelota adquiere la velocidad entregada por los motores al punto= que la pelota es expulsada de la máquina.  El ángulo de expulsión de la pelota se logra mediante la variación de la posic= ión de los motores y de las ruedas que trabajan solidarias a los motores. En la figura 2 se muestra un esquema ilustrativo.

Figura 2

Lanzadora de pelotas con dos discos rotativos tomado de (SWARTOUT, 1968)

3D"Diagram

Description

Dispositivo con Ruedas para lanzar Pelotas de teni= s

Como se indica en el gráfico 3, este dispositivo c= onsiste en un par de cilindros separados montados en ejes paralelos que giran sincronizados a un par de motores eléctricos, los cilindros están dispuesto= s en posición horizontal. Las pelotas al pasar por los cilindros son comprimidas momentáneamente y al instante de salir, adquieren una velocidad muy similar= a la velocidad angular de los cilindros en rotación.

Figura 3

Cilindros Rotatorios tomad= o de (HOLLOWAY, y otros, 197= 3)<= /i>

.

Efectos sobre la pelota de teni= s (Noguera, 2016)

Slice o efecto cortado

Consiste en proporcionar a la pelota una rotación hacia atrás, de este modo la pelota adquiere una trayectoria baja y a la vez produce que intente regresar hacia la red después del rebote como se indica en la figura 4.

Figura 4

Trayectoria efecto Slice

Topspin o efecto liftado

Con el efecto Topspin, debido a la velocidad y a la rotación hacia adelante que adquiere la pelota, esta tiende a ir hacia delante de forma más pronunciada como se muestra en la figura 5. Este efecto se logra golpeando = a la pelota por la parte superior.

 

 

 

Figura 5

Trayectoria efecto Topspin

3D"Chart,

Flatspin o plano.

Este efecto es utilizado generalmente en los saques, la pelota no pos= ee ningún efecto en específico debido a esto la pelota se mueve con traslación pura como se observa en la figura 6.

Figura 6

Trayectoria efecto Flatspi= n o plano

3D"A<= /a>

Metodología

Los métodos que se han utilizado para la realizaci= ón de este trabajo están en función del alcance de este estudio y de los objet= ivos planteados, es así que:

Se utilizaron métodos de revisión bibliográfica, dialéctico para tener un manejo de la información y método histórico debido= a que se utilizó fuentes anteriores que ayudaron a encontrar las principales características de este tipo de máquinas existentes en el mercado internacional. Además, se utilizó procedimientos de ponderación propuestos = por Carles Riba en su libro de Diseño Concurrente para la selección de alternat= ivas para el diseño.

Finalmente, para el diseño mecánico de detalle se manejaron criterios de ASME para el cálculo del eje, procedimiento plantead= o en el libro de Mecanismos de David H. Myszka en el capítulo 5, página 116 (Myszka, 2012) para el dimensionamiento del mecanismo.

El análisis de elemento finito mediante software A= NSYS para la verificación de resistencia de sistemas mecánicos importantes permi= tió conocer el comportamiento de las soldaduras al someterlas a las cargas de funcionamiento. (Noguera, 2016)

La validación de resultados se llevó a cabo median= te la estadística básica a partir de datos obtenidos experimentalmente mediante uso de aplicaciones para teléfono inteligente y análisis cinemáticos en bas= e a los datos sacados de del estudio sobre los videos de los lanzamientos de pelotas de tenis realizados en las canchas de la Escuela Superior Politécni= ca de Chimborazo.

Resultados[ECD1] 

Sistema de posicionamiento

Tanto la figura 7 como la figura 8 muestra el mecanismo diseñado que tiene como propósito direccionar a la pelota a disti= ntas alturas según se requiera alcanzar una posición dentro de la cancha de teni= s. El grafico 7 muestra un esquema cinemático con las medidas del sistema. Mie= ntras que el gráfico 8 muestra los componentes del mecanismo manivela-balancín de= la máquina lanzadora de pelotas de tenis con ruedas giratorias mismas que son impulsad= as por motores eléctricos.

Figura 7

Esquema cinemático sistema= de posicionamiento

 

 

 

 

Figura 8

Mecanismo manivela-balancí= n, máquina lanzadora de pelotas de tenis

Características del prototipo

El prototipo propuesto es capaz de generar lanzami= entos con 3 efectos de rotación más traslación gracias al impulso de motores de corriente continua de 12 voltios alimentados por una batería recargable tipo Lipo de 5000 mAh. El sistema fue automatizado mediante uso de Arduino el cu= al fue alimentado por una fuente de 9 voltios. El prototipo fue controlado a distancia por rado mediante control remoto. El posicionamiento automático de disparo logró una precisión de 93%. La capacidad de almacenamiento de la maquina es de 25 pelotas simultáneamente y 50 más en el espacio de reserva.= El gráfico 9 muestra el prototipo de la maquina lanzadora de pelotas de tenis, realizado en SolidWorks (izquierda) y ya construido (derecha).

Figura 9

Maquina lanzadora de pelot= as de tenis

3D"Graphical

Análisis de deformación y esfuerzos

Uno de los elementos más propensos a fallas son los ejes. Por lo que se ha realizado un análisis de deformación y esfuerzos utilizando el método de elemento finito para garantizar que el eje (manufacturado de acero de transmisión SAE 1045) soportará las cargas gener= adas en el sistema. Como se observa en el gráfico 10, debido a la fuerza que se transmite por la presión que genera la pelota sobre el eje, la flecha fleja, pero su deformación es considerada como admisible. Además, como muestra el grafico 11, se genera un punto de concentración de esfuerzos en el cambio d= e sección del eje. Es aquí donde se genera el esfuerzo combinado mayor sin embargo es suficiente para que el eje pueda trabajar de forma correcta.

Figura 10

Resultados de deformación = del análisis en ANSYS del eje

Figura 11

Resultados del análisis de esfuerzos en el eje usando el software ANSYS

Pruebas de funcionalidad

Una vez construido el prototipo, fue momento de realizar las pruebas de funcionalidad en condiciones reales, es decir en el campo de tenis como se muestra en el gráfico 12. La máquina se puso a prueba durante un entrenamiento donde jugadores de distintos niveles pudieron test= ar el funcionamiento del mecanismo.

 

Figura 12

Trayectoria de un lanzamie= nto de pelota de tenis

Pruebas de velocidad

Para esta prueba se utilizaron dos métodos: analít= ico y un aplicativo Tennis Radar Gun. Para el primer método se usó fórmulas de cinemática, movimiento parabólico y datos provenientes de 15 observaciones (Tabla1) provenientes de videos en cámara lenta de distintos lanzamientos hechos por el prototipo. Para el segundo método, mediante la aplicación, se= obtuvieron datos de velocidades de la pelota, que se encuentran sintetizados en la Tab= la 2. A continuación se exponen los resultados de las pruebas de funcionamiento q= ue fueron realizadas en campo:

Tabla 1

Pruebas usando Cinemática

 

Tiempo

(s)

Alcance

(m)

Altura (m)

Ángulo

(grados)

Velocidad (Km/h)

Efecto slice

1,53

18,5

3,162

30,668

50,497

1,70

19,0

3,821

35,617

49,494

1,50

17,0

3,038

31,640

47,923

1,33

17,5

2,461

25,002

52,135

1,47

17,5

2,917

29,721

49,461

Promedio

49,902

Efecto flat spin

1,10

18,3

62,425

1,770

16,380

1,13

18,3

60,925

1,860

17,425

1,07

18,5

64,700

1,682

15,196

0,73

11,9

60,169

1,367

13,855

0,73

11,9

60,111

1,340

13,628

 

 

 

Promedio

61,539

Tabla 1<= /b>

Pruebas usando Cinemática = (continuación)

&nbs= p;

Tiempo

(s)

Alcance

(m)

Altura (m)

Ángulo

(grados)

Velocidad (Km/h)

Efecto top spin

1,30

17,5

52,980

2,354

23,834

1,30

17,5

52,980

2,354

23,834

1,40

18,0

51,811

2,684

26,702

1,90

21,0

51,359

4,702

39,219

1,87

20,8

51,232

4,548

38,464

Promedio

52,072

 

Tabla 2

Pruebas usando “Tennis Radar Gun” =

 

No. de lanzamiento

Velocidad (Km/h)=

≥ 30 [km/h]

 

Si=

No=

 

Efecto slice

1

53,2

x

 

 

2

62,5

x

 

 

3

52,8

x

 

 

4

63,9

x

 

 

5

62

x

 

 

Promedio

58,88=

 

 

 

Efecto flat spin=

1

73,1

x

 

 

2

73,8

x

 

 

3

80

x

 

 

4

81,5

x

 

 

5

74,4

x

 

 

Promedio

76,56=

 

 

 

Efecto top spin<= /o:p>

1

54,5

x

 

2

55,9

x

 

3

54,5

x

 

4

62,9

x

 

5

65,8

x

 

Promedio

58,72=

 

 

Discusión

Análisis bibliográfico

La revisión bibliográfica fue profunda y relevante, poniendo énfasis en la revisión de patentes relacionadas con este ámbito en= el registro de patentes de Estados Unidos (USP), así como en Internet. Pero de= bido a la amplia gama de información y la velocidad con la que esta se genera ex= iste la posibilidad de omitir algún dato o información, sin embargo, se considera que lo estudiado es suficiente para lograr el alcance de este trabajo.=

Precisión de lanzamiento

Gracias al sistema de posicionamiento mediante un mecanismo de cuatro barras y control electrónico se posiciona el lanzamient= o, tiene un alto índice de precisión evaluado experimentalmente. Se debe tomar= en cuenta que la velocidad del motor está también en dependencia del voltaje de alimentación que es variable, sin embargo, este no altera el alcance de lanzamiento más allá de un radio de error de 20 cm.

Estimación de la velocidad

Para estimar la velocidad con que la pelota sale d= e la máquina, se analizó cuadro por cuadro los videos de lanzamiento de la pelot= a y se realizó el análisis en una hoja de cálculo en función del tiempo que tar= da, desde que sale la pelota hasta que toca el piso. Para la validación de este procedimiento se experimentó primero con videos de tenistas profesionales descargados de internet y se comprobó que los resultados eran equiparables. Para esto se despreció factores como la resistencia del viento.<= /span>

Conclusiones

·&nb= sp;        El diseño fina= l de la máquina prototipo de lanzamiento de pelotas de tenis de campo se realizó satisfactoriamente. La pelota de tenis entra al sistema de alimentación, do= nde el giro del dispensador hace que caigan una a una las pelotas después de un tiempo programado de 4 segundos, para después pasar por un ducto flexible q= ue las guía hacia las ruedas las cuales se encuentran girando, es entonces cua= ndo la pelota es expulsada hacia el exterior, logrando así el lanzamiento desea= do.

·&nb= sp;        El diseño conceptual de la máquina lanzadora de pelotas de tenis de campo ayudó a obt= ener un diseño funcional y a cumplir con los requerimientos y deseos del usuario como el direccionamiento variable considerando que las pelotas llegan hasta= una distancia de 23,78 metros debido a la velocidad de rotación de los motores = de 2750 rpm cubriendo así la longitud total de la cancha.

·&nb= sp;        Se alcanzó una= velocidad lineal promedio de expulsión de la pelota de 59,38 km/h misma que es consid= erada una velocidad adecuada para un entrenamiento.

·&nb= sp;        El prototipo c= onsta de las siguientes características: una batería marca Venom de 5000 mAh recargable a 110 V tipo Lipo, sistema automatizado, de fácil operación, fác= il mantenimiento debido a que es totalmente desmontable, capacidad de almacena= je total de 25 pelotas, además el sistema es controlado por radio logrando com= unicación a larga distancia.

·&nb= sp;        Las pruebas de funcionalidad mostraron una precisión de la máquina lanzadora de pelotas de tenis de un 93% con respecto a posicionamiento, además las pelotas caen en = un diámetro máximo de 20 cm.

Agradecimiento

Al Ingeniero Edgar Fabricio Bonilla Naranjo por su colaboración con el desarrollo y pruebas técnicas del presente proyecto

Referenci= as bibliográficas

Amzar, K. (2013, Junio). Design and Fabricat= ion of Thrower Mechanism. Retrieved Noviembre 16, 2015, from http://eprints.utem.edu.my/13891/1/cdr_09750-24_Pages.pdf

Bonilla Naranjo, E. F., &= amp; Noguera Cundar, A. P. (2015). Diseño y fabricación de una máquina
lanzadora de pelotas de tenis de campo. Tesis = de pregrado [Facultad de Ingeniería Mecánica, ESPOCH].
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Budynas, R. (2008). Diseño en ingeniería mecánica de Shigley. Nisbett, Keith (Vol. 9). Ciudad de Mex= ico, Mexico: McGrawHill. Ret= rieved from https://www.academia.edu/32491379/Dise%C3%B1o_en_Ingenier%C3%ADa_Mec%= C3%A1nica_Shigley_9a_Ed_

Godoy, P. (2009). Diseño y construcción de una máquina Automática para la. Escuela Superior Politecnica de Chimborazo, Facultad de Mecanica. Riobamba: Dspace. Obtenid= o de http://dspace.espoch.edu.ec/bitstream/123456789/40/1/15T00415.pdf

Holloway, P. (1973, Diciembre 11= ). United States Patent= No. US3777732. Retrieved Enero 10, 2016, from Google Docs Patents: https://docs.google.com/viewer?url=3Dpatentimages.storage.googleapis.com/p= dfs/US3777732.pdf

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Myszka, D. (2012). Máquinas y Mecanismos (4 ed.). Méx= ico: Pearson. Retrieved from https://www.pearsoneducacion.net/peru/Inicio/maquinas-mecanismos-myszka-4e= d-ebook1

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El artículo queda en propiedad de la revista y, por tanto, su publicac= ión parcial y/o total en otro medio tiene que ser autorizado por el director d= e la Revista Conciencia Digital.

 

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&nb= sp;[ECD1]= Cada figura debe estar explicado, al igua= l que las tablas

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