کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4637165 1340735 2006 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analyzing the free vibrations of a plate using finite difference and differential transformation method
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Analyzing the free vibrations of a plate using finite difference and differential transformation method
چکیده انگلیسی
This paper analyses the free vibrations of clamped and simply supported rectangular thin plates. A hybrid method which combines the finite difference method and the differential transformation method is employed to reduce the partial differential equations of the plate to a set of algebraic equations. The investigative parameters include the order of the differential transformation, the number of sub-domain spaces, the variable conditions and the type of initial condition. The numerical simulation results indicate that the solution of the natural frequency is more accurate when calculated using a higher number of sub-domains. The effect of the difference transformation order value (k) on the solution of the natural frequency is not significant when the combined T spectra method and differential transformation method is applied. The initial mode shape of the plate has a significant influence on the solution of the natural frequency. The current modeling results confirm the viability of using the hybrid method proposed in this paper to solve the free vibrations and natural frequency of clamped and simply supported plates.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 178, Issue 2, 15 July 2006, Pages 493-501
نویسندگان
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