出版社：Consejo Superior de Investigaciones Científicas
摘要：In the context of the Finite Element Method, two possible alternatives dealing with the concept of equivalent distributed load are presented in the paper.The first consist in using few finite elements, by slightly increasing the order of the load, while the second applies the use of a greater number of elements leaving the load in the lowest possible order.Both situations are sampled with application to the Timoshenko and Bernoulli-Euler beam models, with different orders of load are used.These equivalent distributed loads are the result of applying Legendre orthogonal polynomial approximations, to the original load, in each element.The most noteworthy conclusion is that when the least possible number of finite elements is used (i.e., one) also for considering low level of regularity load cases only equivalent distributed loads of slightly higher than minimum order (four) were needed to obtain an excellent approximation when computing the deflections, rotations, bending moments and shear forces inside the elements.
关键词：Elementos finitos; acción repartida equivalente; solución nodal exacta; splines generalizados; polinomios ortogonales de Legendre; modelos de vigas de Timoshenko y Bernoulli-Euler
