مدل سازی پارامتریک و تحلیل گرافیک استاتیک خرپاهای وارن قوسی

نوع مقاله : پژوهشی اصیل (کامل)

نویسندگان
دانشگاه هنر اسلامی تبریز
چکیده
گرافیگ استاتیک یک روش تحلیل و محاسبه بصری برای یافتن نوع و مقادیر نیروهای داخلی در سازه‌ها است که بدور از سختی‌های محاسباتی و صرفاً با رویکردی هندسی متمرکز بر دو نمودار متقابل فرم و نیرو به این مهم دست می‌یابد. در این مقاله با استفاده از گرافیک استاتیک به تحلیل خرپا‌های قوسی مبتنی بر نوع وارن پرداخته شده است. برای این منظور، مدل پارامتریک نمودارهای فرم و نیرو در افزونه پارامتریک گرس‌هاپر برنامه نویسی شدند. پارامتریک سازی قابلیت فرم‌یابی و تحلیل هر نوع مختلفی از خرپاهای فرم آزاد شکل گرفته مبتنی بر نوع خرپای وارن را نیز فراهم نموده ‌است. برای سنجش میزان اعتبار روش و دقت الگوریتم نوشته شده در افزونه‌ی گرس‌هاپر، به مقایسه‌ی نتایج عددی حاصل از چند نمونه‌ی خرپاهای قوسی تحت بارگذاری‌ متفاوت، با روش محاسباتی المان محدود پرداخته شده است. حداکثر اختلاف میان دو روش 1/2% مشاهده شده است. نتایج شبیه‌سازی‌های صحت‌سنجی حاکی از دقت و سرعت بسیار زیاد الگوریتم پیشنهادی دارد.

کلیدواژه‌ها

موضوعات


عنوان مقاله English

Parametric modeling and graphic statics analysis of Warren Arched trusses

نویسندگان English

Taha Sabaghian
Yaser Shahbazi
Farhad Akhoundi
Tabriz Islamic Art University
چکیده English

Graphic Statics is a visual analysis and calculation method to find the type and amount of internal forces in structures, which achieves this importance away from computational difficulties and only with a geometric approach focused on two reciprocal diagrams of form and force. In this paper, arched trusses based on Warren type are analyzed using graphic statics. For this purpose, the parametric model of form and force diagrams were programmed in the Grasshopper parametric plugin. Parametrization has also provided the ability to find and analyze any different types of free-form trusses based on the type of warren truss. To measure the validity of the method and the accuracy of the algorithm written in the Grasshopper add-on, the numerical results obtained from several samples of arched trusses under different loads have been compared with the finite element computational method. The results of the validation simulations indicate the high accuracy and speed of the proposed algorithm.

کلیدواژه‌ها English

Warren Arched Truss
Graphic Statics
Finite element
Parametric Form Finding
Grasshopper
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