نشریه مهندسی مکانیک ایران

نشریه مهندسی مکانیک ایران

مطالعه تأثیر فشار ستون سیال بر پاسخ دینامیکی قطاع دایروی توخالی با استفاده از روش تفاضلات مربعی

نوع مقاله : مقاله علمی پژوهشی

نویسنده
استادیار، دانشکده مهندسی مکانیک، دانشگاه آزاد اسلامی، واحد الیگودرز، الیگودرز، ایران
چکیده
در این پژوهش به بررسی پاسخ دینامیکی قطاع دایروی توخالی در تماس با سیال تراکم ناپذیر تحت بار هارمونیک پرداخته شده است. معادلات حاکم ورق بر اساس تئوری تغییر شکل برشی مرتبه اول و با به کارگیری اصل همیلتون استخراج شده است. همچنین معادله حاکم بر رفتار نوسانی سیال با حل معادله لاپلاس تابع پتانسیل سرعت و ارضای شرایط مرزی سیال به­دست آمده است. از روش تفاضلات مربعی و نیومارک برای تعیین رفتار ارتعاشی ورق استفاده شده است. علاوه بر این با استفاده از روش تفاضلات مربعی فرکانس­ های طبیعی قطاع در حالت خشک و تر به منظور مقایسه با مراجع به ­دست آمده است. درپایان، پس از صحه ­گذاری بر روی پاسخ ­های به­ دست آمده از طریق نتایج سایر محققان و همچنین مدل سازی ورق در تماس با سیال در نرم افزار المان محدود آباکوس، تاثیر پارامترهای مختلف هندسی از قبیل نسبت شعاع داخلی به شعاع خارجی ورق، زاویه قطاع، نسبت ضخامت به شعاع خارجی ورق، چگالی سیال و ارتفاع سیال به ضخامت ورق بر روی پاسخ دینامیکی قطاع دایروی توخالی در تماس با سیال بررسی شده است.
کلیدواژه‌ها

[1]        S. Tariverdilo, M. Shahmardani, J. Mirzapour, and R. Shabani, "Asymmetric Free Vibration of Circular Plate in Contact with Incompressible Fluid," Applied Mathematical Modelling, Vol. 37, No. 1-2, pp. 228-239, 2013, doi: https://doi.org/10.1016/j.apm.2012.02.025.
 
[2]        K. Khorshidi, F. Akbari, and H. Ghadirian, "Experimental and Analytical Modal Studies of Vibrating Rectangular Plates in Contact with a Bounded Fluid," Ocean Engineering, Vol. 140, pp. 146-154, 2017, doi: https://doi.org/10.1016/j.oceaneng.2017.05.017.
 
[3]        E. Askari, K.-H. Jeong, and M. Amabili, "Hydroelastic Vibration of Circular Plates Immersed in a Liquid-filled Container with Free Surface," Journal of Sound and Vibration, Vol. 332, No. 12, pp. 3064-3085, 2013, doi: https://doi.org/10.1016/j.jsv.2013.01.007.
 
[4]        S. Yousefzadeh, A. Jafari, A. Mohammadzadeh, and M. Najafi, "Dynamic Response of Functionally Graded Annular/Circular Plate in Contact with Bounded Fluid under Harmonic Load," Structural Engineering and Mechanics, An Int'l Journal, Vol. 65, No. 5, pp. 523-533, 2018, doi: 10.12989/sem.2018.65.5.523.
 
[5]        S. H. Hashemi, M. Karimi, and H. R. D. Taher, "Vibration Analysis of Rectangular Mindlin Plates on Elastic Foundations and Vertically in Contact with Stationary Fluid by the Ritz Method," Ocean Engineering, Vol. 37, No. 2-3, pp. 174-185, 2010, doi: https://doi.org/10.1016/j.oceaneng.2009.12.001.
 
[6]        Y. Kozlovsky, "Vibration of Plates in Contact with Viscous Fluid: Extension of Lamb's Model," Journal of Sound and Vibration, Vol. 326, No. 1-2, pp. 332-339, 2009, doi: https://doi.org/10.1016/j.jsv.2009.04.031.
 
[7]        Y. Q. Wang, S. W. Xue, X. B. Huang, and W. Du, "Vibrations of Axially Moving Vertical Rectangular Plates in Contact with Fluid," International Journal of Structural Stability and Dynamics, Vol. 16, No. 2,  p. 1450092, 2016, doi: https://doi.org/10.1016/j.jsv.2009.04.031.
 
[8]        S. Yousefzadeh, A. Akbari, and M. Najafi, "Dynamic Response of FG Rectangular Plate in Contact with Stationary Fluid under Moving Load," Journal of Science and Technology of Composites, Vol. 6, No. 2, pp. 213-224, 2019, doi: 10.22068/JSTC.2018.75912.1395.
 
[9]        S. Yousefzadeh, A. Jafari, and A. Mohammadzadeh, "Hydroelastic Vibration Analysis of Functionally Graded Circular Plate in Contact with Bounded Fluid by Ritz Method," Journal of Science and Technology of Composites, Vol. 5, No. 4, pp. 529-538, 2019, https://jstc.iust.ac.ir/article_32715_08995455b5de43f897fe778267a2a29a.pd.
 
[10]      K.-H. Jeong, and K.-J. Kim, "Hydroelastic Vibration of a Circular Plate Submerged in a Bounded Compressible Fluid," Journal of Sound and Vibration, Vol. 283, No. 1-2, pp. 153-172, 2005, doi: https://doi.org/10.1016/j.jsv.2004.04.029.
 
[11]      K. Asemi, M. Salehi, and M. Sadighi, "Three Dimensional Static and Dynamic Analysis of Two Dimensional Functionally Graded Annular Sector Plates," Structural Engineering and Mechanics: An International Journal, Vol. 51, No. 6, pp. 1067-1089, 2014, doi: https://doi.org/10.12989/sem.2014.51.6.1067.
 
[12]      R. Shahveh, A. A. Jafari, A. Maghsoudpour, and A. R. Mohammadzadeh, "Investigating the Effect of Fluid Pressure on the Vibrational Behavior of Annular Sector Plate," Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, pp. 1-12, 2020, doi: https://doi.org/10.1007/s40997-020-00360-x.
 
[13]      E. Jomehzadeh, and A. Saidi, "Analytical Solution for Free  Vibration of Transversely Isotropic Sector Plates using a Boundary Layer Function," Thin-walled Structures, Vol. 47, No. 1, pp. 82-88, 2009, doi: https://doi.org/10.1016/j.tws.2008.05.004.
 
[14]      K. Khorshidi, and A. Bakhsheshy, "Free Natural Frequency Analysis of an FG Composite Rectangular Plate Coupled with Fuid using Rayleigh–Ritz Method," Mechanics of Advanced Composite Structures, Vol. 1, No. 2, pp. 131-143, 2014, https://doi.org/10.22075/macs.2014.287.
 
[15]      M. J. Jhung, Y. H. Choi, and K. H. Jeong, "Fluid Bounding Effect on Natural Frequencies of Fluid-coupled Circular Plates," KSME International Journal, Vol. 17, pp. 1297-1315, 2003, doi: https://doi.org/10.1007/BF02982471.
 
[16]      A. H. Nasrollah Barati, A. A. Jafari, S. Etemadi Haghighi, and A. Maghsoudpour, "The Effect of Fluid Column Pressure on the Natural Frequencies of an Annular Sector Plate Made of Functionally Graded Material," Journal of Science and Technology of Composites, Vol. 8, No. 2, pp. 1522-1531, 2021, doi: 10.22068/JSTC.2021.531588.1731.
 
[17]      E. Arshid, and A. Khorshidvand, "Flexural Vibrations Analysis of Saturated Porous Circular Plates using Differential Quadrature Method", Iranian Journal of Mechanical Engineering (in English), Vol. 19. No. 1(46), pp. 78-100, 2016, https://dor.isc.ac/dor/20.1001.1.25384775.1396.19.1.5.6.
 
[18]      S. Yousefzadeh, M. Najafi, and H. Asgari, "Hydro-static Effect on Free Vibration of Circular Plate in Contact with Bounded Fluid on Elastic Foundation," Iranian Journal of Mechanical Engineering Transactions of ISME, Vol. 21, No. 1, pp. 132-150, 2019, doi:20.1001.1.25384775.1398.21.1.7.2.
 
[19]      F. Hejripour, and A. Saidi, "Nonlinear Free Vibration Analysis of Annular Sector Plates using Differential Quadrature Method," Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 226, No. 2, pp. 485-497, 2012, doi: https://doi.org/10.1177/0954406211414517.
 
[20]      C. W. Bert, and M. Malik, "Differential Quadrature Method in Computational Mechanics: A Review," Applied Mechanics Reviews, Vol. 49, No. 1, pp. 1-28 (28 pages), Jan 1996, doi: https://doi.org/10.1115/1.3101882.
 
[21]      C. Shu, "Differential Quadrature and Its Application in Engineering," Springer Science & Business Media, Springer-Verlag London Berlin Heidelberg in 2000, 1st Edition, ISBN: 978-1-4471-1132-0, https://doi.org/10.1007/978-1-4471-0407-0.

  • تاریخ دریافت 30 تیر 1401
  • تاریخ بازنگری 25 آبان 1402
  • تاریخ پذیرش 13 تیر 1403