MINIMIZATION OF THE DISCRETIZATION ERROR IN PLANE STRESS ELEMENT FORMULATION BY AN INVERSE METHOD
محل انتشار: پانزدهمین کنفرانس سالانه مهندسی مکانیک
سال انتشار: 1386
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 1,517
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شناسه ملی سند علمی:
ISME15_470
تاریخ نمایه سازی: 8 فروردین 1386
چکیده مقاله:
Common methods in determination of element mass and stiffness matrices are minimization of the energy function, the residues of the equation of motion and etc. In these methods, by using assumed shape function for element behavior and by minimization of some functions, we can determine the element formulation. Alternatively, we may construct the formulation by using an inverse approach. The purpose of inverse method is minimization of the difference between the numerical (discrete model) and the analytical (continuous model) models. In the inverse method, we
obtain the optimum value of independent parameters for stiffness (and mass) matrix, so that the minimum discretization error accurse. In this paper, it is shown that more accurate models can be obtained by the inverse method, also the relation between inverse method and deformation modes of the element is developed and with the aid of this relation, an optimum model for the rectangular plane stress element is obtained.
کلیدواژه ها:
Plane Stress Element - Inverse method - Discretization Error
نویسندگان
Mohammadie
PhD. Student , Shiraz University Shiraz, Iran
Ahmadian
Associated Professor, Iran University of Science & Technology, Tehran, IRAN