میرایی متغیر در تحلیل ناخطی هندسی صفحه‌های خمشی به‌روش رهایی پویا

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه فردوسی مشهد

2 گروه عمران، دانشکده مهندسی، دانشگاه فردوسی مشهد

چکیده

هدف اصلی این مقاله، تحلیل ناخطی صفحه‌های خمشی با فن تفاوت محدود است. راهکار رهایی پویا بر پایۀ میرایی متغیر رابطه‌سازی خواهد شد. برای رسیدن به همگرایی مناسب، از سه معیار سرعت، کارمایۀ جنبشی و نسبت جا‌به‌جایی دو گام پیاپی بهره‌جویی می‌شود. برای مسئله‌های گوناگون صفحۀ خمشی، مقایسۀ پاسخ‌های حل با میرایی متغیر و ثابت انجام می‌پذیرد. تجربه‌های عددی نشان می‌دهند که میرایی متغیر، شایسته‌تر از گونۀ ثابت است. با وجود این، روش پیشنهادی نویسندگان سبب کاهش شمار تکرارها و زمان تحلیل خواهد شد. آشکار می‌شود که با وجود توانایی‌های تفاوت محدود، این روش به انتخاب پاره‌ای از عامل‌ها بسیار حساس می‌باشد؛ به گونه‌ای که تغییر اندک در مقدار این عامل‌ها، سبب افزایش شمار تکرارها و زمان تحلیل و گاه واگرایی پاسخ خواهد شد. دیگر هدف این مقاله، مرور کوتاهی بر پژوهش‌های راه حل رهایی پویای صفحه‌های خمشی می‌باشد.

کلیدواژه‌ها

عنوان مقاله [English]

.Variable Damping in Geometric Nonlinear Plate Bending Analysis using Dynamic Relaxation Method

نویسندگان [English]

  • Mohammad Rezaiee-Pajand 1
  • H. Estiri 2
1 Univrersity of Pittsburgh
2 Ferdowsi University
چکیده [English]

.The main purpose of this paper is the nonlinear analysis of bending plates with the finite difference. Based on the variable damping, the dynamic relaxation technique will be utilized. In order to achieve proper convergence, the velocity, kinetic energy and two successive displacement ratio criteria are used. For various bending plate samples, the results of constant and variable damping are compared. Numerical examples show that the variable damping is better than the constant damping. However, author's scheme reduces the number of iterations and the time duration. The finite difference method is very sensitive to the choice of some factors. A slight change in the amount of these parameters will increase the number of iterations and the time duration. Moreover, sometimes the solution procedure is divergenced. Another goal of this article is presenting a brief review of the dynamic relaxation approach in solving the bending plates.

کلیدواژه‌ها [English]

  • .Dynamic relaxation
  • Finite difference
  • Damping
  • Convergence criterion
  • Bending plate
  • Large deformations

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