تعیین معادلات مقیاس‌گذاری آلومتریک برای رفتار الاستیک بدن انسان در اجرای حرکت کانگورویی هاپینگ با شیوه‌ها و راهبردهای مختلف

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دکترای بیومکانیک ورزشی، استادیار پژوهشگاه علوم ورزشی ایران، تهران، ایران (نویسنده مسئول)

2 دکترای بیومکانیک ورزشی، استاد دانشگاه خوارزمی تهران، ایران.

3 دکترای مهندسی پزشکی، استادیار دانشگاه تهران، تهران، ایران.

چکیده

مطالعة حاضر با هدف تعیین معادلات آلومتریک سفتی پا انجام شد که  مهم‌ترین پارامتر تعیین‌کنندة رفتار الاستیک بدن است. 30 مرد جوان سالم به‌طور داوطلبانه در این پژوهش شرکت کردند و آزمون هاپینگ عمودی را روی صفحة نیرو و در برابر دوربین سرعت‌ بالا انجام دادند. پس از محاسبۀ سفتی پا، ارتباط آن با ویژگی‌های فردی آزمودنی‌ها نظیر جرم، قد، شاخص تودة بدن و سن، از طریق آزمون همبستگی پیرسون تعیین شد. برای تشکیل معادلات آلومتریک، از تحلیل رگرسیونی استفاده شد. بین سفتی پای تعیین‌شده در هاپینگ کنترلی با جرم آزمودنی‌ها روابط معنادار و مثبت مشاهده شد. معادلة مقیاس‌گذاری آلومتریک برای سفتی پای دوطرفه به‌صورت 1/1M190Kbilateral=، برای سفتی پای برتر به‌صورت 84/0M501Kdominant= و برای سفتی پای غیربرتر به‌صورت 82/0M190Knondominant= به­دست آمد. این معادلات، مبنایی برای نرمال‌سازی صحیح رفتار الاستیک بدن به­وجود می‌آورند و برآورد سفتی پارا بر اساس جرم افراد امکان‌پذیر می‌کنند.

کلیدواژه‌ها


عنوان مقاله [English]

Determination of allometric scaling equations for elastic behavior of human body during kangaroo-like hopping in different styles and strategies

نویسندگان [English]

  • Mojtaba Ashrostaghi 1
  • Heydar Sadeghi 2
  • Elham Shirzad 3
1 Sports medicine department, Sport sciences research institute of Iran
2 Department of Physical education & Sport Sciences, Kharazmi University
3 Assistant Professor of Corrective Exercises and Sports Injuries, University of Tehran
چکیده [English]

The purpose of the current study was to determine allometric equations for leg stiffness, the main parameter of elastic behavior of human body. 30 young healthy men participated voluntarily in this study and performed vertical hopping test on a force plate and in front of a high-speed camera. Leg stiffness was calculated by a MATLAB program. The relationships between leg stiffness and individual characteristics such as body mass, height, BMI and age were determined by Pearson correlation test and the allometric equations were formed by regression analysis. Positive significant correlations were observed between leg stiffness of controlled hopping test and subjects body mass. Allometric scaling equations were Kbilateral=190M1.1 for bilateral leg stiffness, Kdominant=501M0.84 for dominant leg stiffness and Knondominant=549M0.82 for non-dominant leg stiffness. These equations can be the base of correct normalizing of human body elastic behavior and allow to leg stiffness estimation by body mass.

کلیدواژه‌ها [English]

  • elastic behavior
  • Leg Stiffness
  • allometry
  • body size
  • normalizing
  1. Rowland TW. Children's exercise physiology. Gaeini AA, Khaledi N, translators. Tehran: Samt; 2017. (Persian)
  2. Norton K, Eston R. Kinanthropometry and Exercise Physiology: Volume One: Anthropometry: Routledge; 2018.
  3. Fox MC. The biomechanical consequences of body size differences in humans: University of Illinois at Urbana-Champaign; 2020.
  4. Chemloul N-ES. Dimensional Analysis and Similarity in Fluid Mechanics: John Wiley & Sons; 2020.
  5. Biewener A, Patek S. Animal locomotion: Oxford University Press; 2018.
  6. Alexander RM. Dinosaur biomechanics. Proc R Soc Lond B Biol Sci. 2006;273(1596):1849-55.
  7. Stergiou N. Biomechanics and Gait Analysis: Academic Press; 2020.
  8. Shakerin A, Ostovan Z. Title; Determining the correlation of vital capacity of 11 to 17 years old girl students measured by spirometry and Allometry equation in Tehran. Sport Physiol. 2016;8(29):119-30. (Persian)
  9. Shahriari M, Nazem F, Sharif MAS. Validation of Allometric Equations of VO2peak with Anthropometric Intervention and Biological Maturation in 12-17-Year-Old Girls in Hamedan City. Sport Biosci. 2016;8(28):51-63. (Persian)
  10. Markovic G, Jaric S. Movement performance and body size: the relationship for different groups of tests. Eur J Appl Physiol. 2004;92(1):139-49.
  11. Jaric S, Mirkov D, Markovic G. Normalizing physical performance tests for body size: aproposal for standardization. J Strength Cond Res. 2005;19(2):467-74.
  12. Alexander RM, Jayes A. A dynamic similarity hypothesis for the gaits of quadrupedal mammals. J Zool. 1983;201(1):135-52.
  13. Farley CT, Glasheen J, McMahon TA. Running springs: speed and animal size. J Exp Biol. 1993;185(1):71-86.
  14. Pruyn EC, Watsford M, Murphy A. The relationship between lower-body stiffness and dynamic performance. Appl Physiol Nutr Metab. 2014;39(10):1144-50.
  15. Sporri D, Pine MJ, Cameron ML, Spurrs RW, Sheehan WB, Bower RG, et al. Relationship between vertical stiffness and soft-tissue injuries in professional Australian football. J Sports Sci. 2019;37(21):2425-32.
  16. Rogers SA, Whatman CS, Pearson SN, Kilding AE. Assessments of mechanical stiffness and relationships to performance determinants in middle-distance runners. Int J Sports Physiol Perform. 2017;12(10):1329-34.
  17. Ashrostaghi M, Sadeghi H, Shirzad E. Review of the Concept of Stiffness in the Research on Mechanical Properties and Behavior of Human Body and Its Measurement Methods in Lower Extremity. J Rehabil Med. 2017;6(2):258-70. (Persian)
  18. Lamontagne M, Kennedy MJ. The biomechanics of vertical hopping: a review. Res Sports Med. 2013;21(4):380-94.
  19. Allen SP, Grabowski AM. Hopping with degressive spring stiffness in a full-leg exoskeleton lowers metabolic cost compared with progressive spring stiffness and hopping without assistance. J Appl Physiol. 2019;127(2):520-30.
  20. Rumpf MC, Cronin JB, Oliver JL, Hughes MG. Vertical and leg stiffness and stretch-shortening cycle changes across maturation during maximal sprint running. Hum Mov Sci. 2013;32(4):668-76.
  21. Croix MBDS, Hughes JD, Lloyd RS, Oliver JL, Read PJ. Leg stiffness in female soccer players: Intersession reliability and the fatiguing effects of soccer-specific exercise. J Strength Cond Res. 2017;31(11):3052-8.
  22. Diggin D, Anderson R, Harrison AJ. Limits in reliability of leg-spring and joint stiffness measures during single-leg hopping within a sled-based system. PloS One. 2019;14(12): e0225664.
  23. Hobara H, Inoue K, Kanosue K. Effect of hopping frequency on bilateral differences in leg stiffness. J Appl Biomech. 2013;29(1):55-60.
  24. Hobara H, Kobayashi Y, Yoshida E, Mochimaru M. Leg stiffness of older and younger individuals over a range of hopping frequencies. J Electromyogr Kinesiol. 2015;25(2):305-9.
  25. Morin J-B, Samozino P. Biomechanics of Training and Testing: Springer; 2018.
  26. Joseph CW, Bradshaw EJ, Kemp J, Clark RA. The interday reliability of ankle, knee, leg, and vertical musculoskeletal stiffness during hopping and overground running. J Appl Biomech. 2013;29(4):386-94.
  27. Granata K, Padua D, Wilson S. Gender differences in active musculoskeletal stiffness. Part II. Quantification of leg stiffness during functional hopping tasks. J Electromyogr Kinesiol. 2002;12(2):127-35.
  28. Bojsen-Møller J, Magnusson SP, Rasmussen LR, Kjaer M, Aagaard P. Muscle performance during maximal isometric and dynamic contractions is influenced by the stiffness of the tendinous structures. J Appl Physiol. 2005;99(3):986-94.
  29. Rabita G, Couturier A, Lambertz D. Influence of training background on the relationships between plantarflexor intrinsic stiffness and overall musculoskeletal stiffness during hopping. Eur J Appl Physiol. 2008;103(2):163-71.
  30. Carruthers A, Farley C, editors. Leg stiffness in running humans: effects of body size. Presented at The Third North American Congress on Biomechanics; 1998; Waterloo, Ontario, Canada.

Farley CT, Korff WL, editors. Musculoskeletal basis for the scaling of leg stiffness with body mass in humans. Proceedings of the 23rd Annual Meeting of the American Society of Biomechanics; 1999; Pittsburgh.