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# جلسه دوازدهم: آموزش جامع روش های پیشرفته آنالیز دینامیکی غیر خطی (دکتر حشمدار)

AN EFFICIENT METHOD FOR NONLINEAR DYNAMIC ANALYSIS OF 3D SPACE STRUCTURES

Prof.Dr.Hashamdar

The Newmark method

The methods presented in previous sections were implicit and based upon the assumption of the linear change of acceleration during each time step. Hypothesis in Newmark method will indicate how much of the acceleration at the end of the interval enters into the relationships for velocity and displacement. In 1959 Newmark presented a method which permits different types of variation of acceleration to be taken into account. The main features of this method are given in the following sub-sections. The Newmark-beta method is a method of numerical integration used to solve differential equations  (Bradford & Yazdi, 1999). It is used in finite element analysis to model dynamic systems. A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders.

روش نیومارک در معادله حرکت دینامیکی

آموزش جامع روش های پیشرفته آنالیز دینامیکی غیر خطی سازه های فضائی سه بعدی

پرفسور حشمدار