НОВЫЙ МЕТОД ОПРЕДЕЛЕНИЯ ОБОБЩЕННЫХ СИЛОВЫХ ФАКТОРОВ И ПРОГИБОВ БАЛОК В СРЕДЕ ЦИФРОВЫХ ТЕХНОЛОГИЙ
Abstract
A novel method of beam analysis with arbitrary characters of bending stiffness distribution and loading along length of beam is proposed. The method is based on beam discretization into regions, within which deflections are described by polynomials of third degree. After discretization of external loads in the form of concentrated forces and stepwise approximation of bending stiffness, the coefficients of polynoms are determined from the boundary conditions for final sections of the regions. Examples with implementation of proposed method for analysis of statically determinate cantilever beam and two statically indeterminate beams are presented.
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Тимошенко, С.П. Сопротивление материалов: в 2 т. / С.П. Тимошенко; изд. 2-е, стереотип., пер. с англ. В.Н. Федорова. – М.: Наука, 1965. – Т. 1. Элементарная теория и задачи. – 364 с.
Справочник по сопротивлению материалов / Г.С. Писаренко, А.П. Яковлев, В.В. Матвеев; отв. ред. Г.С. Писаренко. – 2-е изд., перераб. и доп. – К.: Наукова думка, 1988. – 736 с.
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