اثر ساختارهای فراکتال درختان روی دامنه ارتعاش میوه در فرآیند برداشت مکانیکی

Document Type : Research Paper

Authors

1 Department of Mechanical Engineering of Biosystems, Bonab Branch, Islamic Azad University, Bonab, Iran.

2 Department of Mechanical Engineering of Biosystems, Tabriz Branch, Islamic Azad University, Tabriz, Iran.

Abstract

ساختارهای درختی در طبیعت پیچیده و تصادفی هستند اما با توجه به انواع مختلف شان از قوانین خاصی پیروی می کنند. هدف از این کار مدل سازی رفتار دینامیکی سه درخت فراکتال در فرآیند تکان دادن مکانیکی و مطالعه تأثیر نسبت دو شاخه شدن و نسبت هرس بر پاسخ فرکانسی و درصد میوه‌های برداشت شده، هست. به طور تجربی برای بدست آوردن خواص مهم الاستیکی، بارهای استاتیکی بر روی تنه و شاخه های درخت وارد می شوند. همچنین برای به دست آوردن خواص ویسکوالاستیک درخت، ارتعاش آزاد دینامیکی آن بررسی می شود. درختان فراکتال با مدل‌های معادل جرم-فنر چند درجه آزادی مدل سازی می‌شوند و معادلات حاکم بر حرکت با استفاده از قانون دوم نیوتن به دست می‌آیند؛ سپس، آنها به صورت عددی برای برخی از درختان فراکتال نمونه حل می شوند. در نتیجه برای مقادیر مختلف نسبت انشعاب و نسبت هرس (بعد فراکتال)، جابجایی میوه محاسبه شده و دامنه جابجایی میوه به دست می آید. همچنین اثرات ساختارهای درختی و نسبت های هرس بر دامنه جابجایی میوه مورد بحث قرار می‌گیرد.   

Keywords


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